{
  "summary": {
    "edition": "0.2",
    "date": "2026-10-14",
    "rows_reviewed": 448,
    "historical_rows": 235,
    "new_rows": 213,
    "unchanged_rows": 229,
    "changed_rows": 6,
    "amendments": 10,
    "rows_with_amendments": 91,
    "explicit_reference_occurrences": 32,
    "all_rows_have_source_and_reuse_limit": true,
    "proof_dependency_DAG": "OPEN_GATED",
    "full_reproof": "NOT_PERFORMED",
    "physical_promotion": 0
  },
  "amendments": [
    {
      "id": "ARA01",
      "title": "Retired universal scalar action",
      "affected_ids": [
        "G05",
        "G06",
        "O09",
        "Q35",
        "Q112",
        "Q113",
        "Q114",
        "Q115",
        "Q123",
        "Q129",
        "Q133",
        "Q134",
        "Q136",
        "Q137",
        "Q138",
        "Q139"
      ],
      "sources": [
        "L65",
        "E07",
        "PIV",
        "E11"
      ],
      "section": "G05, G06, O09 and Q139; Paper IV §9; clock theorem §§2–9",
      "finding": "The current ledger retires a universal kappa_loop scalar. Conditional scalar-family algebra survives only on its declared domain. A native action form or numerical internal ratio does not fix a dimensional physical action, clock or gravity scale.",
      "scope": "No retraction of a proved formula conditional on a supplied scalar; unqualified mainline/physical reuse is held."
    },
    {
      "id": "ARA02",
      "title": "Receipt index needs idle-response correction",
      "affected_ids": [
        "Q194",
        "Q195",
        "Q196",
        "Q197",
        "Q198",
        "Q199",
        "Q200",
        "Q205",
        "Q206",
        "Q208",
        "Q210",
        "Q224",
        "Q251",
        "O22",
        "O23",
        "O38"
      ],
      "sources": [
        "E04",
        "PI",
        "L65"
      ],
      "section": "Polarity audit §§2–5; Paper I §7.4",
      "finding": "On the admitted pair-response domain, mu_Theta = ind F_omega + |h^-| - |h^+| with h=q-omega, after frame alignment. The index alone is full polarity only if the idle term vanishes. Binding POC-1 saturation fixes the response address; a nontrivial competing burden optimizer is then not a simultaneous final selector.",
      "scope": "Retains conditional index identities and POC-1 as a candidate. Does not turn synthetic counterexamples into a held-out endpoint score."
    },
    {
      "id": "ARA03",
      "title": "Signed flux remains a separate diagnostic",
      "affected_ids": [
        "Q165",
        "Q166",
        "Q171",
        "Q172",
        "Q173",
        "Q195",
        "O22"
      ],
      "sources": [
        "E04",
        "PI"
      ],
      "section": "Polarity audit §4; Paper I §§5, 7",
      "finding": "The fixed-K witness has unchanged obligation/index polarity zero but integrated edge-support change 3/8 and one-pair change 1/8. A universal equality between signed support polarity and the integer obligation index fails under those premises.",
      "scope": "Does not invalidate support continuity. A stricter diagnostic domain needs an explicit new contract."
    },
    {
      "id": "ARA04",
      "title": "Sidecar distribution and custody",
      "affected_ids": [
        "O43",
        "O44",
        "O45",
        "O47",
        "O48",
        "O49",
        "O53",
        "Q211",
        "Q212",
        "Q265",
        "Q266",
        "Q267",
        "Q268",
        "Q269",
        "Q270",
        "Q271"
      ],
      "sources": [
        "R35",
        "E04",
        "L65"
      ],
      "section": "Sidecar recovery v0.1 evidence inventory and reopening procedure",
      "finding": "O45 is a historical pre-distribution status. O47/O49 and the later audit record sent-message distribution evidence; activation, scorer-byte custody and eligible target-hidden native endpoints remain unestablished in the inspected record. SOURCE_INCOMPLETE_NO_SCORE governs scoring.",
      "scope": "Sent does not mean acknowledged or executed. Frozen primary scorer and verdict cannot be repaired by the sidecar."
    },
    {
      "id": "ARA05",
      "title": "Native inputs and event timing remain open",
      "affected_ids": [
        "Q25",
        "Q26",
        "Q153",
        "Q156",
        "Q157",
        "Q158",
        "Q160",
        "Q161",
        "Q162",
        "Q163",
        "Q167",
        "Q168",
        "Q169",
        "Q173",
        "Q178",
        "Q179",
        "Q195",
        "Q198",
        "Q207",
        "Q210",
        "Q223",
        "Q257"
      ],
      "sources": [
        "E01",
        "E02",
        "E03",
        "E05",
        "E06",
        "PI"
      ],
      "section": "Native projection theorem; packet action audit; source recovery; Paper I §7.4",
      "finding": "Current fixed-complex support flow, conditional gates, residual receipts, action and Metropolis acceptance do not supply a normalized packet proposal, native flip/admission law, feedback/renewal, or calibrated physical clock. On filled K4, Q_h=exp(arctan(h) A) is exact, but h and the switch predicate are additional choices.",
      "scope": "Formal source-completion countermodels test logical entailment. They do not establish physically attainable competing histories."
    },
    {
      "id": "ARA06",
      "title": "Signature and refinement carrier separation",
      "affected_ids": [
        "F03",
        "Q25",
        "Q26",
        "Q101",
        "Q107",
        "Q139",
        "Q165",
        "Q169",
        "Q170",
        "Q177",
        "Q178",
        "Q179"
      ],
      "sources": [
        "R29",
        "R30",
        "R33",
        "R34",
        "G14",
        "E09",
        "E10",
        "A06"
      ],
      "section": "Lorentzian gate §§2–5; native refinement §3; interface gate §2; governance §7",
      "finding": "A positive real coframe form E delta E^T is positive semidefinite and cannot yield Lorentzian inertia on the same carrier. Fixed K does not select spatial refinement. The strict contract of native contraction, unit singleton readout and unweighted-generator intertwining fails on K4 to sd K4 because 7>3.",
      "scope": "An indefinite internal form, finite event mediator and physical spacetime metric are distinct. Q107 lists counts through degree 3; a full filled 4-simplex also has one 4-cell."
    },
    {
      "id": "ARA07",
      "title": "Receipt memory timing and physical resource scale",
      "affected_ids": [
        "G05",
        "G06",
        "O10",
        "O14",
        "O15",
        "Q101",
        "Q139",
        "Q165",
        "Q169",
        "Q170"
      ],
      "sources": [
        "R36",
        "R40",
        "PIV",
        "E11"
      ],
      "section": "Entropy session summary; receipt gap frontier clock and non-identifiability; Paper IV §9",
      "finding": "The decomposed write has 34 slots. A 44-slot total deadline leaves 10 storage rounds; 32 post-write rounds require 66 total slots. Gibbs flag probabilities and normalized accuracy do not identify joules, physical area or a fully renewed controller/bath cycle.",
      "scope": "Retains fixed-age calculations with their original schedule. No entropy/horizon normalization is backsolved from Newton G."
    },
    {
      "id": "ARA08",
      "title": "Historical Gap 2 sign and parameter audit",
      "affected_ids": [
        "B04",
        "B05",
        "B06",
        "C02",
        "C04",
        "H01"
      ],
      "sources": [
        "A14",
        "A06",
        "L65"
      ],
      "section": "Gap2_FINAL_STATUS.md §6, equations A.6 and A.19; historical fits",
      "finding": "For n_s<1, 0<rho<1 and contraction 0<r<1, the displayed -(n_s-1)|ln rho|/ln(1/r) is positive. It cannot equal the reported negative running under those assumptions. Its dependence on n_s also inherits the unresolved n_CMB unless a separate source or conditional measured-pivot forecast is declared.",
      "scope": "A new presentation audit, not a silent correction of the original formula. Recover the scale convention and original derivation/code before selecting a repaired sign or claiming a parameter-free prediction."
    },
    {
      "id": "ARA09",
      "title": "Replay counts and review types",
      "affected_ids": [],
      "sources": [
        "E08",
        "GPAR",
        "GREV",
        "E06",
        "A21",
        "G14"
      ],
      "section": "Edge replay-count erratum; recorded replication receipts; CRL safeguards",
      "finding": "The edge-receipt count 1551 denotes selected manually counted check groups, not all assertions; the later AST instrumentation reports 1837 evaluated assertions. Gemini replication and separate AI scope audits remain explicitly distinguished from human review and measurement.",
      "scope": "Execution counts do not measure independent experiments. No CRL or physical promotion is made by this atlas."
    },
    {
      "id": "ARA10",
      "title": "Atlas, coefficient and feasibility namespaces",
      "affected_ids": [
        "C01",
        "C02",
        "C03",
        "C04",
        "C05",
        "C06",
        "C07",
        "O33"
      ],
      "sources": [
        "L65",
        "PI",
        "PII",
        "PIII",
        "PIV"
      ],
      "section": "Atlas claims.json versus coefficient row namespace; ledger O33",
      "finding": "The initial atlas reused C01–C07 as presentation IDs, while the coefficient ledger already uses those IDs for different objects. Atlas IDs are now ATLAS01–ATLAS07. O33 refers to lab feasibility criteria F01–F12, not the coefficient frame-family rows. Reference names are kept typed by context.",
      "scope": "An ID collision is repaired, not a scientific equivalence or change to a source coefficient."
    }
  ],
  "rows": [
    {
      "row_id": "P01",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "P01",
        "symbol": "V(K4)",
        "exact_form": "4",
        "claim_bin": "EXACT_INTERNAL",
        "status": "ACTIVE ROOT GENERATOR",
        "next_gate": "none for count; physical dimension interpretations remain downstream",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "V(K_4)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "P01",
        "symbol": "V(K4)",
        "exact_form": "4",
        "claim_bin": "EXACT_INTERNAL",
        "status": "ACTIVE ROOT GENERATOR",
        "next_gate": "none for count; physical dimension interpretations remain downstream"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for count; physical dimension interpretations remain downstream Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "P02",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "P02",
        "symbol": "E(K4)",
        "exact_form": "6",
        "claim_bin": "EXACT_INTERNAL",
        "status": "ACTIVE ROOT GENERATOR",
        "next_gate": "none for count",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "E(K_4)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "P02",
        "symbol": "E(K4)",
        "exact_form": "6",
        "claim_bin": "EXACT_INTERNAL",
        "status": "ACTIVE ROOT GENERATOR",
        "next_gate": "none for count"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for count Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "P03",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "P03",
        "symbol": "\\|Aut(K4)\\| = \\|S4\\|",
        "exact_form": "24",
        "claim_bin": "EXACT_INTERNAL",
        "status": "ACTIVE ROOT GENERATOR",
        "next_gate": "none for group order",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "\\|Aut(K_4)\\| = \\|S_4\\|",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "P03",
        "symbol": "\\|Aut(K4)\\| = \\|S4\\|",
        "exact_form": "24",
        "claim_bin": "EXACT_INTERNAL",
        "status": "ACTIVE ROOT GENERATOR",
        "next_gate": "none for group order"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for group order Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "P04",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "P04",
        "symbol": "\\|Theta\\|",
        "exact_form": "2^3 = 8",
        "claim_bin": "EXACT_INTERNAL",
        "status": "ACTIVE ROOT GENERATOR",
        "next_gate": "closure/admissibility rule must justify the unique reference state",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "\\|\\Theta\\|",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "P04",
        "symbol": "\\|Theta\\|",
        "exact_form": "2^3 = 8",
        "claim_bin": "EXACT_INTERNAL",
        "status": "ACTIVE ROOT GENERATOR",
        "next_gate": "closure/admissibility rule must justify the unique reference state"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: closure/admissibility rule must justify the unique reference state Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "P05",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "P05",
        "symbol": "N1",
        "exact_form": "24 * 8 = 192",
        "claim_bin": "EXACT_INTERNAL",
        "status": "ACTIVE / SECTION-7 DEPENDENCY",
        "next_gate": "any observable interpretation must be derived separately",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "N_1",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "P05",
        "symbol": "N1",
        "exact_form": "24 * 8 = 192",
        "claim_bin": "EXACT_INTERNAL",
        "status": "ACTIVE / SECTION-7 DEPENDENCY",
        "next_gate": "any observable interpretation must be derived separately"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: any observable interpretation must be derived separately Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "P06",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "P06",
        "symbol": "Delta_theta",
        "exact_form": "8 - 1 = 7",
        "claim_bin": "EXACT_INTERNAL",
        "status": "ACTIVE / SECTION-7 DEPENDENCY",
        "next_gate": "continue to preserve the closure-rule proof independently of downstream matches",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "\\Delta_\\theta",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "P06",
        "symbol": "Delta_theta",
        "exact_form": "8 - 1 = 7",
        "claim_bin": "EXACT_INTERNAL",
        "status": "ACTIVE / SECTION-7 DEPENDENCY",
        "next_gate": "continue to preserve the closure-rule proof independently of downstream matches"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: continue to preserve the closure-rule proof independently of downstream matches Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "P07",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "P07",
        "symbol": "G1_default",
        "exact_form": "4",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "DEFAULT NATIVE SELECTOR WITH TESTED-SCOPE GUARD",
        "next_gate": "general branch grammar / larger-scope recurrence",
        "use_class": "BRIDGE",
        "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.",
        "display_symbol": "G_{1,default}",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "P07",
        "symbol": "G1_default",
        "exact_form": "4",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "DEFAULT NATIVE SELECTOR WITH TESTED-SCOPE GUARD",
        "next_gate": "general branch grammar / larger-scope recurrence"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "BRIDGE — TESTED SCOPE ONLY",
      "reuse_limit": "Retain the original COMPUTED_BRIDGE claim only within its stated source premises. Current reopening/next gate: general branch grammar / larger-scope recurrence",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "P08",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "P08",
        "symbol": "G1_dense",
        "exact_form": "12",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "ADMISSIBLE DENSE ALTERNATE",
        "next_gate": "global consistency / dense-branch recurrence",
        "use_class": "BRIDGE",
        "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.",
        "display_symbol": "G_{1,dense}",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "P08",
        "symbol": "G1_dense",
        "exact_form": "12",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "ADMISSIBLE DENSE ALTERNATE",
        "next_gate": "global consistency / dense-branch recurrence"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "BRIDGE — TESTED SCOPE ONLY",
      "reuse_limit": "Retain the original COMPUTED_BRIDGE claim only within its stated source premises. Current reopening/next gate: global consistency / dense-branch recurrence",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "P09",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "P09",
        "symbol": "N2_default / N2_dense",
        "exact_form": "768 / 2304",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "BRANCH-SPLIT LADDER CANDIDATES",
        "next_gate": "branch selector generalization",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "N_{2,default} / N_{2,dense}",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "P09",
        "symbol": "N2_default / N2_dense",
        "exact_form": "768 / 2304",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "BRANCH-SPLIT LADDER CANDIDATES",
        "next_gate": "branch selector generalization"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: branch selector generalization",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "P10",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "P10",
        "symbol": "N_layer",
        "exact_form": "4 * 8 = 32",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "STRONG NATIVE LAYER-DEPTH CANDIDATE; CURRENT BANACH ATTENUATION OVER-SUPPRESSES; TERMINATION/NORMALIZATION OPEN",
        "next_gate": "prove the 32-layer termination and per-layer attenuation normalization independently of the hierarchy target",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "N_{layer}",
        "reconciliation_notes": "quarantined; blocked from settled mainline use; 32 is native-count supported but sequential depth/termination remains unproved"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "P10",
        "symbol": "N_layer",
        "exact_form": "4 * 8 = 32",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "STRONG NATIVE LAYER-DEPTH CANDIDATE; CURRENT BANACH ATTENUATION OVER-SUPPRESSES; TERMINATION/NORMALIZATION OPEN",
        "next_gate": "prove the 32-layer termination and per-layer attenuation normalization independently of the hierarchy target"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: prove the 32-layer termination and per-layer attenuation normalization independently of the hierarchy target",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "F01",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "F01",
        "symbol": "R_d",
        "exact_form": "(d+1)/d, d>=1",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / DIMENSION-TYPED FRAME FAMILY",
        "next_gate": "none for frame identity; any dynamics using a special R_d needs an independent source law",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "R_d",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "F01",
        "symbol": "R_d",
        "exact_form": "(d+1)/d, d>=1",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / DIMENSION-TYPED FRAME FAMILY",
        "next_gate": "none for frame identity; any dynamics using a special R_d needs an independent source law"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for frame identity; any dynamics using a special R_d needs an independent source law Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "F02",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "F02",
        "symbol": "C_d",
        "exact_form": "d/(d+1), d>=0",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / DIMENSION-TYPED RECIPROCAL FAMILY",
        "next_gate": "none for frame/norm identity",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "C_d",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "F02",
        "symbol": "C_d",
        "exact_form": "d/(d+1), d>=0",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / DIMENSION-TYPED RECIPROCAL FAMILY",
        "next_gate": "none for frame/norm identity"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for frame/norm identity Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "F03",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "F03",
        "symbol": "R_3^(tet-face)",
        "exact_form": "4/3",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT COFRAME-SHAPE FACTOR UNDER DECLARED DYAD DEFINITION",
        "next_gate": "physical coframe interpretation requires independent continuum/transport bridge",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "R_3^(tet-face)",
        "reconciliation_notes": "COLLISION-02: same rational value, different types"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "F03",
        "symbol": "R_3^(tet-face)",
        "exact_form": "4/3",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT COFRAME-SHAPE FACTOR UNDER DECLARED DYAD DEFINITION",
        "next_gate": "physical coframe interpretation requires independent continuum/transport bridge"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: physical coframe interpretation requires independent continuum/transport bridge Exact source status is not a new proof audit or physical identification. Consult ARA06 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA06"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "F04",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "F04",
        "symbol": "C_3^(tet-center)",
        "exact_form": "3/4",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT GEOMETRIC LOCATION; OLD9 DYNAMICAL REUSE FROZEN",
        "next_gate": "any dynamical use must be independently source-derived",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "C_3^(tet-center)",
        "reconciliation_notes": "COLLISION-03: repeated 3/4 value on different carriers"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "F04",
        "symbol": "C_3^(tet-center)",
        "exact_form": "3/4",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT GEOMETRIC LOCATION; OLD9 DYNAMICAL REUSE FROZEN",
        "next_gate": "any dynamical use must be independently source-derived"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: any dynamical use must be independently source-derived Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "F05",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "F05",
        "symbol": "R_4^(5-state address)",
        "exact_form": "5/4",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT ADDRESS-FRAME IDENTITY",
        "next_gate": "none for address-frame identity",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "R_4^(5-state address)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "F05",
        "symbol": "R_4^(5-state address)",
        "exact_form": "5/4",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT ADDRESS-FRAME IDENTITY",
        "next_gate": "none for address-frame identity"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for address-frame identity Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "F06",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "F06",
        "symbol": "dim Sym^2_0(3)",
        "exact_form": "5 = 2 + 3",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT OPERATOR-SPACE DIMENSION",
        "next_gate": "deficit-allocation/interface map if used as divisor in alpha_struct",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "dim Sym^2_0(3)",
        "reconciliation_notes": "COLLISION-08: repeated dimension/value 5"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "F06",
        "symbol": "dim Sym^2_0(3)",
        "exact_form": "5 = 2 + 3",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT OPERATOR-SPACE DIMENSION",
        "next_gate": "deficit-allocation/interface map if used as divisor in alpha_struct"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: deficit-allocation/interface map if used as divisor in alpha_struct Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "C01",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "C01",
        "symbol": "r_Delta",
        "exact_form": "7/192",
        "claim_bin": "EXACT_INTERNAL",
        "status": "LOCKED INTERNAL STRUCTURAL RATIO",
        "next_gate": "none for arithmetic; each physical alias needs its own gate",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "r_\\Delta",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "C01",
        "symbol": "r_Delta",
        "exact_form": "7/192",
        "claim_bin": "EXACT_INTERNAL",
        "status": "LOCKED INTERNAL STRUCTURAL RATIO",
        "next_gate": "none for arithmetic; each physical alias needs its own gate"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for arithmetic; each physical alias needs its own gate Exact source status is not a new proof audit or physical identification. Consult ARA10 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA10"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "C02",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "C02",
        "symbol": "r_retain",
        "exact_form": "185/192",
        "claim_bin": "EXACT_INTERNAL",
        "status": "LOCKED INTERNAL STRUCTURAL RATIO",
        "next_gate": "physical spectral-index interpretation requires its own cosmology proof",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "r_{retain}",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "C02",
        "symbol": "r_retain",
        "exact_form": "185/192",
        "claim_bin": "EXACT_INTERNAL",
        "status": "LOCKED INTERNAL STRUCTURAL RATIO",
        "next_gate": "physical spectral-index interpretation requires its own cosmology proof"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: physical spectral-index interpretation requires its own cosmology proof Exact source status is not a new proof audit or physical identification. Consult ARA08, ARA10 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA08",
        "ARA10"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "C03",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "C03",
        "symbol": "C_vertex",
        "exact_form": "7/768",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "ACTIVE STRUCTURAL RATIO; PHYSICAL CAPACITY LANGUAGE SCOPED",
        "next_gate": "derive the local admissibility law independently of physical cutoff claims",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "C_vertex",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "C03",
        "symbol": "C_vertex",
        "exact_form": "7/768",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "ACTIVE STRUCTURAL RATIO; PHYSICAL CAPACITY LANGUAGE SCOPED",
        "next_gate": "derive the local admissibility law independently of physical cutoff claims"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: derive the local admissibility law independently of physical cutoff claims Consult ARA10 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA10"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "C04",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "C04",
        "symbol": "beta_UD",
        "exact_form": "ln(192/185)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "ACTIVE STRUCTURAL FLOW COEFFICIENT; RG INTERPRETATION NOT PRIMITIVE",
        "next_gate": "derive the dynamics that make this logarithm the actual coarse-scale flow rate",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "\\beta_{UD}",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "C04",
        "symbol": "beta_UD",
        "exact_form": "ln(192/185)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "ACTIVE STRUCTURAL FLOW COEFFICIENT; RG INTERPRETATION NOT PRIMITIVE",
        "next_gate": "derive the dynamics that make this logarithm the actual coarse-scale flow rate"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: derive the dynamics that make this logarithm the actual coarse-scale flow rate Consult ARA08, ARA10 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA08",
        "ARA10"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "C05",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "C05",
        "symbol": "d_seat",
        "exact_form": "5",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT NATIVE FIVE-DIMENSIONAL RESPONSE SPACE",
        "next_gate": "none for dimension; any deficit-to-response allocation law is separate",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "d_seat",
        "reconciliation_notes": "COLLISION-08: repeated dimension/value 5"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "C05",
        "symbol": "d_seat",
        "exact_form": "5",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT NATIVE FIVE-DIMENSIONAL RESPONSE SPACE",
        "next_gate": "none for dimension; any deficit-to-response allocation law is separate"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for dimension; any deficit-to-response allocation law is separate Exact source status is not a new proof audit or physical identification. Consult ARA10 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA10"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "C06",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "C06",
        "symbol": "alpha_struct^(0)",
        "exact_form": "7/960",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK EXACT INTERNAL NORMALIZED RATIO / AUTO_FREEZE AS CURRENT q-PAIRING HAMILTONIAN COEFFICIENT",
        "next_gate": "derive an independent S4-invariant source functional before any physical coupling interpretation",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "\\alpha_{struct}^{(0)}",
        "reconciliation_notes": "7/960 is an exact internal normalized ratio; physical coupling interpretation is frozen"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "C06",
        "symbol": "alpha_struct^(0)",
        "exact_form": "7/960",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK EXACT INTERNAL NORMALIZED RATIO / AUTO_FREEZE AS CURRENT q-PAIRING HAMILTONIAN COEFFICIENT",
        "next_gate": "derive an independent S4-invariant source functional before any physical coupling interpretation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: derive an independent S4-invariant source functional before any physical coupling interpretation Consult ARA10 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA10"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "C07",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "C07",
        "symbol": "S0",
        "exact_form": "43/7",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "B1-D DERIVED FORMAL / ACTIVE INTERNAL SUPPORT",
        "next_gate": "maintain consistency between the two support derivations and current packet grammar",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "S0",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "C07",
        "symbol": "S0",
        "exact_form": "43/7",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "B1-D DERIVED FORMAL / ACTIVE INTERNAL SUPPORT",
        "next_gate": "maintain consistency between the two support derivations and current packet grammar"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: maintain consistency between the two support derivations and current packet grammar Consult ARA10 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA10"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "C08",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "C08",
        "symbol": "H",
        "exact_form": "101/6",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "B1-D DERIVED FORMAL; PHYSICAL IDENTITY GAP OPEN",
        "next_gate": "continue reconciliation of parity doubling, identity increment, coherence rebate, and C3_7 burden ledger",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "H",
        "reconciliation_notes": "101/6 is structural H/heavy-lift quantity; physical identity/B_e equality remains open"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "C08",
        "symbol": "H",
        "exact_form": "101/6",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "B1-D DERIVED FORMAL; PHYSICAL IDENTITY GAP OPEN",
        "next_gate": "continue reconciliation of parity doubling, identity increment, coherence rebate, and C3_7 burden ledger"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: continue reconciliation of parity doubling, identity increment, coherence rebate, and C3_7 burden ledger",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "C09",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "C09",
        "symbol": "C_star",
        "exact_form": "7/8",
        "claim_bin": "SOURCE_STRATUM",
        "status": "SOURCE-STRATUM / NEEDS CURRENT REBASE",
        "next_gate": "re-derive under current finite-register admissibility grammar",
        "use_class": "SOURCE_STRATUM",
        "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.",
        "display_symbol": "C_star",
        "reconciliation_notes": "historical/source-layer; not current physical canon"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "C09",
        "symbol": "C_star",
        "exact_form": "7/8",
        "claim_bin": "SOURCE_STRATUM",
        "status": "SOURCE-STRATUM / NEEDS CURRENT REBASE",
        "next_gate": "re-derive under current finite-register admissibility grammar"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "HISTORICAL — REBASE REQUIRED",
      "reuse_limit": "Retain the original SOURCE_STRATUM claim only within its stated source premises. Current reopening/next gate: re-derive under current finite-register admissibility grammar",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "C10",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "C10",
        "symbol": "Q_agree / Q_Koide",
        "exact_form": "2/3",
        "claim_bin": "SOURCE_STRATUM",
        "status": "NOTATION COLLISION / CONTEXT QUALIFICATION REQUIRED",
        "next_gate": "split symbols by mechanism and re-audit each route",
        "use_class": "SOURCE_STRATUM",
        "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.",
        "display_symbol": "Q_agree / Q_Koide",
        "reconciliation_notes": "historical/source-layer; not current physical canon; COLLISION-04: 2/3 notation/value collision"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "C10",
        "symbol": "Q_agree / Q_Koide",
        "exact_form": "2/3",
        "claim_bin": "SOURCE_STRATUM",
        "status": "NOTATION COLLISION / CONTEXT QUALIFICATION REQUIRED",
        "next_gate": "split symbols by mechanism and re-audit each route"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "HISTORICAL — REBASE REQUIRED",
      "reuse_limit": "Retain the original SOURCE_STRATUM claim only within its stated source premises. Current reopening/next gate: split symbols by mechanism and re-audit each route",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q01",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q01",
        "symbol": "Q_A,Q_B,Q_C coefficients",
        "exact_form": "permutations of (-2/3, 1/3, 1/3)",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXPLICIT PAIRING 2-IRREP REALIZATION",
        "next_gate": "source dynamics must supply a nonzero weight contrast to activate energy in this channel",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "Q_A,Q_B,Q_C coefficients",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q01",
        "symbol": "Q_A,Q_B,Q_C coefficients",
        "exact_form": "permutations of (-2/3, 1/3, 1/3)",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXPLICIT PAIRING 2-IRREP REALIZATION",
        "next_gate": "source dynamics must supply a nonzero weight contrast to activate energy in this channel"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: source dynamics must supply a nonzero weight contrast to activate energy in this channel Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q02",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q02",
        "symbol": "\\|\\|Q_i\\|\\|_F^2",
        "exact_form": "2/3",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT OPERATOR NORM",
        "next_gate": "none for norm",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "\\|\\|Q_i\\|\\|_F^2",
        "reconciliation_notes": "COLLISION-04: 2/3 notation/value collision"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q02",
        "symbol": "\\|\\|Q_i\\|\\|_F^2",
        "exact_form": "2/3",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT OPERATOR NORM",
        "next_gate": "none for norm"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for norm Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q03",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q03",
        "symbol": "R_pair-op",
        "exact_form": "3/2",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT PAIRING-OPERATOR FRAME CONSTANT",
        "next_gate": "none for frame identity; source amplitude remains separate",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "R_pair-op",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q03",
        "symbol": "R_pair-op",
        "exact_form": "3/2",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT PAIRING-OPERATOR FRAME CONSTANT",
        "next_gate": "none for frame identity; source amplitude remains separate"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for frame identity; source amplitude remains separate Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q04",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q04",
        "symbol": "a_star = K_q^star/G",
        "exact_form": "3/2",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / CURRENT SOURCE-COMPLETE q-SCALAR BLOCK",
        "next_gate": "non-scalar q activation requires independently derived edge-class contrast or other lawful source asymmetry",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "a_star = K_q^star/G",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q04",
        "symbol": "a_star = K_q^star/G",
        "exact_form": "3/2",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / CURRENT SOURCE-COMPLETE q-SCALAR BLOCK",
        "next_gate": "non-scalar q activation requires independently derived edge-class contrast or other lawful source asymmetry"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: non-scalar q activation requires independently derived edge-class contrast or other lawful source asymmetry",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q05",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q05",
        "symbol": "b_star = K_m^star/G",
        "exact_form": "11/4",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / CURRENT SOURCE-COMPLETE m-SCALAR BLOCK",
        "next_gate": "boundary/source corrections may split modes but physical units remain downstream",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "b_star = K_m^star/G",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q05",
        "symbol": "b_star = K_m^star/G",
        "exact_form": "11/4",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / CURRENT SOURCE-COMPLETE m-SCALAR BLOCK",
        "next_gate": "boundary/source corrections may split modes but physical units remain downstream"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: boundary/source corrections may split modes but physical units remain downstream",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q06",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q06",
        "symbol": "kappa_q,pair^current",
        "exact_form": "0",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / CURRENT SOURCE-SELECTED PAIRING q AMPLITUDE IS ZERO",
        "next_gate": "derive unequal edge-class source weights or another lawful source if a nonzero q quadrupole is proposed",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "kappa_q,pair^current",
        "reconciliation_notes": "COLLISION-07: zero-valued source amplitudes with distinct provenance"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q06",
        "symbol": "kappa_q,pair^current",
        "exact_form": "0",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / CURRENT SOURCE-SELECTED PAIRING q AMPLITUDE IS ZERO",
        "next_gate": "derive unequal edge-class source weights or another lawful source if a nonzero q quadrupole is proposed"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: derive unequal edge-class source weights or another lawful source if a nonzero q quadrupole is proposed Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q07",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q07",
        "symbol": "mu_partial",
        "exact_form": "{0, 1/9, 1/3}",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / BASIS-INDEPENDENT BOUNDARY SPECTRUM",
        "next_gate": "recover retained m representation/intertwiner for S4 channel alignment",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "mu_partial",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q07",
        "symbol": "mu_partial",
        "exact_form": "{0, 1/9, 1/3}",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / BASIS-INDEPENDENT BOUNDARY SPECTRUM",
        "next_gate": "recover retained m representation/intertwiner for S4 channel alignment"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: recover retained m representation/intertwiner for S4 channel alignment",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q08",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q08",
        "symbol": "mu_bar",
        "exact_form": "4/27",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT ISOTROPIC BOUNDARY SHIFT",
        "next_gate": "none for mean; source amplitude lambda_partial remains separate",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "mu_bar",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q08",
        "symbol": "mu_bar",
        "exact_form": "4/27",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT ISOTROPIC BOUNDARY SHIFT",
        "next_gate": "none for mean; source amplitude lambda_partial remains separate"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for mean; source amplitude lambda_partial remains separate Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q09",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q09",
        "symbol": "spec(T_partial)",
        "exact_form": "{-4/27, -1/27, 5/27}",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT TRACELESS BOUNDARY ANISOTROPY",
        "next_gate": "recover rho_m(g) or an explicit intertwiner U",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "spec(T_partial)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q09",
        "symbol": "spec(T_partial)",
        "exact_form": "{-4/27, -1/27, 5/27}",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT TRACELESS BOUNDARY ANISOTROPY",
        "next_gate": "recover rho_m(g) or an explicit intertwiner U"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: recover rho_m(g) or an explicit intertwiner U Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q10",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q10",
        "symbol": "Tr(T_partial^2)",
        "exact_form": "14/243",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT BOUNDARY ANISOTROPY INVARIANT",
        "next_gate": "representation alignment for channel-specific meaning",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "Tr(T_partial^2)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q10",
        "symbol": "Tr(T_partial^2)",
        "exact_form": "14/243",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT BOUNDARY ANISOTROPY INVARIANT",
        "next_gate": "representation alignment for channel-specific meaning"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: representation alignment for channel-specific meaning Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q11",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q11",
        "symbol": "omega_0^2",
        "exact_form": "33/8",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / EXACT MODE BASELINE WITHIN CURRENT RETAINED HAMILTONIAN",
        "next_gate": "physical mapping and broader source generality downstream",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "omega_0^2",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q11",
        "symbol": "omega_0^2",
        "exact_form": "33/8",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / EXACT MODE BASELINE WITHIN CURRENT RETAINED HAMILTONIAN",
        "next_gate": "physical mapping and broader source generality downstream"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: physical mapping and broader source generality downstream",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q12",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q12",
        "symbol": "r_0^2",
        "exact_form": "11/6",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / EXACT MODE RESPONSE FACTOR",
        "next_gate": "same as Q11",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "r_0^2",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q12",
        "symbol": "r_0^2",
        "exact_form": "11/6",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / EXACT MODE RESPONSE FACTOR",
        "next_gate": "same as Q11"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: same as Q11",
      "amendment_ids": [],
      "explicit_references": [
        {
          "ref_id": "Q11",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q13",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q13",
        "symbol": "lambda_partial(zeta)",
        "exact_form": "beta_F^2/(zeta-Delta_F); positivity requires lambda_partial > -33/4",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL FAMILY FORM / PRIMITIVE AMPLITUDE AND GAP SOURCE-BLOCKED",
        "next_gate": "recover explicit radial vertical Hamiltonian D_F and coupling block B_F from source data",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "lambda_partial(zeta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q13",
        "symbol": "lambda_partial(zeta)",
        "exact_form": "beta_F^2/(zeta-Delta_F); positivity requires lambda_partial > -33/4",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL FAMILY FORM / PRIMITIVE AMPLITUDE AND GAP SOURCE-BLOCKED",
        "next_gate": "recover explicit radial vertical Hamiltonian D_F and coupling block B_F from source data"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: recover explicit radial vertical Hamiltonian D_F and coupling block B_F from source data",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q14",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q14",
        "symbol": "kappa_pair^(uniaxial contrast coordinate)",
        "exact_form": "kappa = W_A-W_B = W_A-W_C on W_B=W_C; -9/2 < kappa < 9/4",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / UNIAXIAL EDGE-CLASS CONTRAST COORDINATE; CURRENT VALUE 0 UNDER EQUAL WEIGHTS",
        "next_gate": "derive actual W_A,W_B,W_C from packet source dynamics; no target backsolve",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "kappa_pair^(uniaxial contrast coordinate)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q14",
        "symbol": "kappa_pair^(uniaxial contrast coordinate)",
        "exact_form": "kappa = W_A-W_B = W_A-W_C on W_B=W_C; -9/2 < kappa < 9/4",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / UNIAXIAL EDGE-CLASS CONTRAST COORDINATE; CURRENT VALUE 0 UNDER EQUAL WEIGHTS",
        "next_gate": "derive actual W_A,W_B,W_C from packet source dynamics; no target backsolve"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive actual W_A,W_B,W_C from packet source dynamics; no target backsolve",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q15",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q15",
        "symbol": "c_partial,2 / c_partial,3",
        "exact_form": "UNRESOLVED",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "AUTO_FREEZE / NOT CANONICALLY COMPUTABLE FROM SPECTRUM ALONE",
        "next_gate": "BOUNDARY_PAIRING_ALIGNMENT_SOURCE_RECOVERY_GATE: recover rho_m(g) or U in the same basis as S_partial",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "c_partial,2 / c_partial,3",
        "reconciliation_notes": "quarantined; blocked from settled mainline use"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q15",
        "symbol": "c_partial,2 / c_partial,3",
        "exact_form": "UNRESOLVED",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "AUTO_FREEZE / NOT CANONICALLY COMPUTABLE FROM SPECTRUM ALONE",
        "next_gate": "BOUNDARY_PAIRING_ALIGNMENT_SOURCE_RECOVERY_GATE: recover rho_m(g) or U in the same basis as S_partial"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: BOUNDARY_PAIRING_ALIGNMENT_SOURCE_RECOVERY_GATE: recover rho_m(g) or U in the same basis as S_partial",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q16",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q16",
        "symbol": "E_5(T_partial)",
        "exact_form": "14/1215",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT SCALAR RESPONSE DENSITY",
        "next_gate": "none for invariant; physical source interpretation separate",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "E_5(T_partial)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q16",
        "symbol": "E_5(T_partial)",
        "exact_form": "14/1215",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT SCALAR RESPONSE DENSITY",
        "next_gate": "none for invariant; physical source interpretation separate"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for invariant; physical source interpretation separate Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q17",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q17",
        "symbol": "beta_F",
        "exact_form": "OPEN",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "AUTO_FREEZE AGAINST HISTORICAL SYMBOL REUSE / SOURCE-BLOCKED",
        "next_gate": "recover B_F and derive B_F B_F^T normalization",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "beta_F",
        "reconciliation_notes": "quarantined; blocked from settled mainline use"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q17",
        "symbol": "beta_F",
        "exact_form": "OPEN",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "AUTO_FREEZE AGAINST HISTORICAL SYMBOL REUSE / SOURCE-BLOCKED",
        "next_gate": "recover B_F and derive B_F B_F^T normalization"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: recover B_F and derive B_F B_F^T normalization",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q18",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q18",
        "symbol": "Delta_F",
        "exact_form": "OPEN",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "AUTO_FREEZE AGAINST HISTORICAL Delta REUSE / SOURCE-BLOCKED",
        "next_gate": "recover D_F and derive its spectrum",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "Delta_F",
        "reconciliation_notes": "quarantined; blocked from settled mainline use"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q18",
        "symbol": "Delta_F",
        "exact_form": "OPEN",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "AUTO_FREEZE AGAINST HISTORICAL Delta REUSE / SOURCE-BLOCKED",
        "next_gate": "recover D_F and derive its spectrum"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: recover D_F and derive its spectrum",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q19",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q19",
        "symbol": "zeta_F (operative spectral point)",
        "exact_form": "OPEN",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "SOURCE-BLOCKED / NO TARGET-BACKSOLVE",
        "next_gate": "derive state/energy selection rule from fine Hamiltonian",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "zeta_F (operative spectral point)",
        "reconciliation_notes": "quarantined; blocked from settled mainline use"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q19",
        "symbol": "zeta_F (operative spectral point)",
        "exact_form": "OPEN",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "SOURCE-BLOCKED / NO TARGET-BACKSOLVE",
        "next_gate": "derive state/energy selection rule from fine Hamiltonian"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: derive state/energy selection rule from fine Hamiltonian",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q20",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q20",
        "symbol": "delta_pair = (delta_A,delta_B,delta_C)",
        "exact_form": "delta_i=W_i-(W_A+W_B+W_C)/3; delta_A+delta_B+delta_C=0",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK / EXACT SOURCE VARIABLE FAMILY; CURRENT EQUAL-CELL STAR HAS delta_pair=0",
        "next_gate": "derive W_A,W_B,W_C from lawful defect, boundary, burden-current, or transport-cost dynamics",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "delta_pair = (delta_A,delta_B,delta_C)",
        "reconciliation_notes": "not a tunable coefficient"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q20",
        "symbol": "delta_pair = (delta_A,delta_B,delta_C)",
        "exact_form": "delta_i=W_i-(W_A+W_B+W_C)/3; delta_A+delta_B+delta_C=0",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK / EXACT SOURCE VARIABLE FAMILY; CURRENT EQUAL-CELL STAR HAS delta_pair=0",
        "next_gate": "derive W_A,W_B,W_C from lawful defect, boundary, burden-current, or transport-cost dynamics"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: derive W_A,W_B,W_C from lawful defect, boundary, burden-current, or transport-cost dynamics",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q21",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q21",
        "symbol": "A_pair^2 = \\|\\|Q_src\\|\\|_F^2",
        "exact_form": "delta_A^2+delta_B^2+delta_C^2 = [(W_A-W_B)^2+(W_B-W_C)^2+(W_C-W_A)^2]/3",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / EXACT DYNAMIC SOURCE INVARIANT; CURRENT VALUE 0 UNDER EQUAL WEIGHTS",
        "next_gate": "test source histories that generate nonzero class-weight contrast without fitting",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "A_pair^2 = \\|\\|Q_src\\|\\|_F^2",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q21",
        "symbol": "A_pair^2 = \\|\\|Q_src\\|\\|_F^2",
        "exact_form": "delta_A^2+delta_B^2+delta_C^2 = [(W_A-W_B)^2+(W_B-W_C)^2+(W_C-W_A)^2]/3",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / EXACT DYNAMIC SOURCE INVARIANT; CURRENT VALUE 0 UNDER EQUAL WEIGHTS",
        "next_gate": "test source histories that generate nonzero class-weight contrast without fitting"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: test source histories that generate nonzero class-weight contrast without fitting",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "G01",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "G01",
        "symbol": "g_G^lat = G_eff^lattice",
        "exact_form": "3/(4*pi)",
        "claim_bin": "SIMULATION_CALIBRATED",
        "status": "PASS_LOCKED WITHIN TESTED PROTOCOLS",
        "next_gate": "physical scale mapping and broader observable/general-topology validation",
        "use_class": "PROTOCOL_CALIBRATED",
        "claim_bin_meaning": "Value calibrated or passed inside a declared simulation protocol; not a universal theory constant.",
        "display_symbol": "g_G^lat = G_eff^lattice",
        "reconciliation_notes": "COLLISION-01: same numerical form, distinct provenance"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "G01",
        "symbol": "g_G^lat = G_eff^lattice",
        "exact_form": "3/(4*pi)",
        "claim_bin": "SIMULATION_CALIBRATED",
        "status": "PASS_LOCKED WITHIN TESTED PROTOCOLS",
        "next_gate": "physical scale mapping and broader observable/general-topology validation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SIMULATION / CALIBRATION — SOURCE SCOPE",
      "reuse_limit": "Retain the original SIMULATION_CALIBRATED claim only within its stated source premises. Current reopening/next gate: physical scale mapping and broader observable/general-topology validation",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "G02",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "G02",
        "symbol": "beta_A",
        "exact_form": "1/12",
        "claim_bin": "SIMULATION_CALIBRATED",
        "status": "PASS_LOCKED WITHIN R10a",
        "next_gate": "replication across additional source classes/topologies",
        "use_class": "PROTOCOL_CALIBRATED",
        "claim_bin_meaning": "Value calibrated or passed inside a declared simulation protocol; not a universal theory constant.",
        "display_symbol": "beta_A",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "G02",
        "symbol": "beta_A",
        "exact_form": "1/12",
        "claim_bin": "SIMULATION_CALIBRATED",
        "status": "PASS_LOCKED WITHIN R10a",
        "next_gate": "replication across additional source classes/topologies"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SIMULATION / CALIBRATION — SOURCE SCOPE",
      "reuse_limit": "Retain the original SIMULATION_CALIBRATED claim only within its stated source premises. Current reopening/next gate: replication across additional source classes/topologies",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "G03",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "G03",
        "symbol": "kappa_C^(legacy)",
        "exact_form": "3/(4*pi)",
        "claim_bin": "SOURCE_STRATUM",
        "status": "SOURCE-STRATUM / NUMERICALLY COLLIDES WITH G01 BUT PROVENANCE REMAINS DISTINCT",
        "next_gate": "prove equivalence or keep symbols permanently distinct",
        "use_class": "SOURCE_STRATUM",
        "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.",
        "display_symbol": "kappa_C^(legacy)",
        "reconciliation_notes": "historical/source-layer; not current physical canon; COLLISION-01: same numerical form, distinct provenance"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "G03",
        "symbol": "kappa_C^(legacy)",
        "exact_form": "3/(4*pi)",
        "claim_bin": "SOURCE_STRATUM",
        "status": "SOURCE-STRATUM / NUMERICALLY COLLIDES WITH G01 BUT PROVENANCE REMAINS DISTINCT",
        "next_gate": "prove equivalence or keep symbols permanently distinct"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "HISTORICAL — REBASE REQUIRED",
      "reuse_limit": "Retain the original SOURCE_STRATUM claim only within its stated source premises. Current reopening/next gate: prove equivalence or keep symbols permanently distinct",
      "amendment_ids": [],
      "explicit_references": [
        {
          "ref_id": "G01",
          "field": "status",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "G04",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "G04",
        "symbol": "epsilon_G",
        "exact_form": "1/1000",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "CONTROL ONLY",
        "next_gate": "sensitivity/robustness study if promoted as a methodological standard",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "epsilon_G",
        "reconciliation_notes": "method control only"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "G04",
        "symbol": "epsilon_G",
        "exact_form": "1/1000",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "CONTROL ONLY",
        "next_gate": "sensitivity/robustness study if promoted as a methodological standard"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: sensitivity/robustness study if promoted as a methodological standard",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "B01",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "B01",
        "symbol": "sin^2(theta_W)^(legacy)",
        "exact_form": "3/13",
        "claim_bin": "SOURCE_STRATUM",
        "status": "REBUILD/REBASE REQUIRED BEFORE CURRENT CANON",
        "next_gate": "target-blind current gauge derivation with normalization proof",
        "use_class": "SOURCE_STRATUM",
        "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.",
        "display_symbol": "sin^2(theta_W)^(legacy)",
        "reconciliation_notes": "historical/source-layer; not current physical canon"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "B01",
        "symbol": "sin^2(theta_W)^(legacy)",
        "exact_form": "3/13",
        "claim_bin": "SOURCE_STRATUM",
        "status": "REBUILD/REBASE REQUIRED BEFORE CURRENT CANON",
        "next_gate": "target-blind current gauge derivation with normalization proof"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "HISTORICAL — REBASE REQUIRED",
      "reuse_limit": "Retain the original SOURCE_STRATUM claim only within its stated source premises. Current reopening/next gate: target-blind current gauge derivation with normalization proof",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "B02",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "B02",
        "symbol": "alpha_s^(legacy)",
        "exact_form": "129/(112*pi^2)",
        "claim_bin": "SOURCE_STRATUM",
        "status": "REBUILD REQUIRED; LEGACY PHYSICAL INTERPRETATION HELD",
        "next_gate": "current homological/gauge derivation without hidden normalization import",
        "use_class": "SOURCE_STRATUM",
        "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.",
        "display_symbol": "alpha_s^(legacy)",
        "reconciliation_notes": "historical/source-layer; not current physical canon"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "B02",
        "symbol": "alpha_s^(legacy)",
        "exact_form": "129/(112*pi^2)",
        "claim_bin": "SOURCE_STRATUM",
        "status": "REBUILD REQUIRED; LEGACY PHYSICAL INTERPRETATION HELD",
        "next_gate": "current homological/gauge derivation without hidden normalization import"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "HISTORICAL — REBASE REQUIRED",
      "reuse_limit": "Retain the original SOURCE_STRATUM claim only within its stated source premises. Current reopening/next gate: current homological/gauge derivation without hidden normalization import",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "B03",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "B03",
        "symbol": "alpha_EM^{-1}^(legacy)",
        "exact_form": "13*pi^2",
        "claim_bin": "SOURCE_STRATUM",
        "status": "CONSISTENCY CHECK ONLY / REBASE REQUIRED",
        "next_gate": "rebuild B01 and alpha_2 first",
        "use_class": "SOURCE_STRATUM",
        "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.",
        "display_symbol": "alpha_EM^{-1}^(legacy)",
        "reconciliation_notes": "historical/source-layer; not current physical canon"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "B03",
        "symbol": "alpha_EM^{-1}^(legacy)",
        "exact_form": "13*pi^2",
        "claim_bin": "SOURCE_STRATUM",
        "status": "CONSISTENCY CHECK ONLY / REBASE REQUIRED",
        "next_gate": "rebuild B01 and alpha_2 first"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "HISTORICAL — REBASE REQUIRED",
      "reuse_limit": "Retain the original SOURCE_STRATUM claim only within its stated source premises. Current reopening/next gate: rebuild B01 and alpha_2 first",
      "amendment_ids": [],
      "explicit_references": [
        {
          "ref_id": "B01",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "B04",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "B04",
        "symbol": "rho_genesis_fit",
        "exact_form": "~0.891 (fit)",
        "claim_bin": "SIMULATION_CALIBRATED",
        "status": "HISTORICAL/PROTOCOL-SCOPED FIT",
        "next_gate": "full-window refit and mechanism derivation",
        "use_class": "PROTOCOL_CALIBRATED",
        "claim_bin_meaning": "Value calibrated or passed inside a declared simulation protocol; not a universal theory constant.",
        "display_symbol": "rho_genesis_fit",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "B04",
        "symbol": "rho_genesis_fit",
        "exact_form": "~0.891 (fit)",
        "claim_bin": "SIMULATION_CALIBRATED",
        "status": "HISTORICAL/PROTOCOL-SCOPED FIT",
        "next_gate": "full-window refit and mechanism derivation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "HISTORICAL GENESIS — FIT / DERIVATION AUDIT OPEN",
      "reuse_limit": "Retain the original SIMULATION_CALIBRATED claim only within its stated source premises. Current reopening/next gate: full-window refit and mechanism derivation Consult ARA08 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA08"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "B05",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "B05",
        "symbol": "rho_candidate",
        "exact_form": "2^(-1/6)",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "DOWNGRADED / FULL 57-LEVEL REFIT REQUIRED",
        "next_gate": "blind full-window refit and analytic derivation",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "rho_candidate",
        "reconciliation_notes": "quarantined; blocked from settled mainline use"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "B05",
        "symbol": "rho_candidate",
        "exact_form": "2^(-1/6)",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "DOWNGRADED / FULL 57-LEVEL REFIT REQUIRED",
        "next_gate": "blind full-window refit and analytic derivation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "HISTORICAL GENESIS — FIT / DERIVATION AUDIT OPEN",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: blind full-window refit and analytic derivation Consult ARA08 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA08"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "B06",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "B06",
        "symbol": "gamma_Omega",
        "exact_form": "-1/4",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "HELD / CONDITIONAL",
        "next_gate": "B05 must pass first",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "gamma_Omega",
        "reconciliation_notes": "quarantined; blocked from settled mainline use"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "B06",
        "symbol": "gamma_Omega",
        "exact_form": "-1/4",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "HELD / CONDITIONAL",
        "next_gate": "B05 must pass first"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "HISTORICAL GENESIS — FIT / DERIVATION AUDIT OPEN",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: B05 must pass first Consult ARA08 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA08"
      ],
      "explicit_references": [
        {
          "ref_id": "B05",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "H01",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "H01",
        "symbol": "S_gap",
        "exact_form": "(192/7)^32 * (11/3)",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "QUARANTINED HIERARCHY BRIDGE; N=32 HAS NATIVE SUPPORT BUT TESTED BANACH NORMALIZATION IS TOO STRONG",
        "next_gate": "derive per-layer attenuation and 11/3 from first principles before target comparison",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "S_gap",
        "reconciliation_notes": "quarantined; blocked from settled mainline use"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "H01",
        "symbol": "S_gap",
        "exact_form": "(192/7)^32 * (11/3)",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "QUARANTINED HIERARCHY BRIDGE; N=32 HAS NATIVE SUPPORT BUT TESTED BANACH NORMALIZATION IS TOO STRONG",
        "next_gate": "derive per-layer attenuation and 11/3 from first principles before target comparison"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: derive per-layer attenuation and 11/3 from first principles before target comparison Consult ARA08 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA08"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "H02",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "H02",
        "symbol": "R_boundary",
        "exact_form": "11/3",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "RATIONAL FACTOR OPEN",
        "next_gate": "native rational generator audit; no empirical-prime target selection",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "R_boundary",
        "reconciliation_notes": "quarantined; blocked from settled mainline use"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "H02",
        "symbol": "R_boundary",
        "exact_form": "11/3",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "RATIONAL FACTOR OPEN",
        "next_gate": "native rational generator audit; no empirical-prime target selection"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: native rational generator audit; no empirical-prime target selection",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "H03",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "H03",
        "symbol": "F_IFS",
        "exact_form": "historical variants: 1/(3*pi), 1/sqrt(3*pi)",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "DO NOT USE UNQUALIFIED",
        "next_gate": "split symbols (e.g., F_screen vs F_channel) and rebuild each dependency chain",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "F_IFS",
        "reconciliation_notes": "quarantined; blocked from settled mainline use"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "H03",
        "symbol": "F_IFS",
        "exact_form": "historical variants: 1/(3*pi), 1/sqrt(3*pi)",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "DO NOT USE UNQUALIFIED",
        "next_gate": "split symbols (e.g., F_screen vs F_channel) and rebuild each dependency chain"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: split symbols (e.g., F_screen vs F_channel) and rebuild each dependency chain",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "H04",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "H04",
        "symbol": "Lambda_UD Path A",
        "exact_form": "E_gs^4 / S0^2",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "B2/B3 BRIDGE; PHYSICAL PROMOTION HELD",
        "next_gate": "clean derivation of E_gs/screen without notation collisions and independent validation",
        "use_class": "BRIDGE",
        "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.",
        "display_symbol": "Lambda_UD Path A",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "H04",
        "symbol": "Lambda_UD Path A",
        "exact_form": "E_gs^4 / S0^2",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "B2/B3 BRIDGE; PHYSICAL PROMOTION HELD",
        "next_gate": "clean derivation of E_gs/screen without notation collisions and independent validation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "BRIDGE — TESTED SCOPE ONLY",
      "reuse_limit": "Retain the original COMPUTED_BRIDGE claim only within its stated source premises. Current reopening/next gate: clean derivation of E_gs/screen without notation collisions and independent validation",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "H05",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "H05",
        "symbol": "delta_S0^(quarantined)",
        "exact_form": "28/129",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "QUARANTINED FROM BARE S0",
        "next_gate": "independent target-blind composition law or expel",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "delta_S0^(quarantined)",
        "reconciliation_notes": "quarantined; blocked from settled mainline use"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "H05",
        "symbol": "delta_S0^(quarantined)",
        "exact_form": "28/129",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "QUARANTINED FROM BARE S0",
        "next_gate": "independent target-blind composition law or expel"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: independent target-blind composition law or expel",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O01",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O01",
        "symbol": "eta_n",
        "exact_form": "N_active / D_capacity",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "ALLOWED DYNAMIC COEFFICIENT; NOT FREE",
        "next_gate": "formalize exact numerator/denominator definitions per operator regime",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "eta_n",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "O01",
        "symbol": "eta_n",
        "exact_form": "N_active / D_capacity",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "ALLOWED DYNAMIC COEFFICIENT; NOT FREE",
        "next_gate": "formalize exact numerator/denominator definitions per operator regime"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: formalize exact numerator/denominator definitions per operator regime",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O02",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O02",
        "symbol": "R2(n,m)",
        "exact_form": "n(1+m)",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "LOCKED OPERATIONAL REPAIR WITHIN K2B SCOPE",
        "next_gate": "only relevant if K2B branch is reactivated beyond tested finite-register scope",
        "use_class": "BRIDGE",
        "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.",
        "display_symbol": "R2(n,m)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "O02",
        "symbol": "R2(n,m)",
        "exact_form": "n(1+m)",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "LOCKED OPERATIONAL REPAIR WITHIN K2B SCOPE",
        "next_gate": "only relevant if K2B branch is reactivated beyond tested finite-register scope"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "BRIDGE — TESTED SCOPE ONLY",
      "reuse_limit": "Retain the original COMPUTED_BRIDGE claim only within its stated source premises. Current reopening/next gate: only relevant if K2B branch is reactivated beyond tested finite-register scope",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O03",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O03",
        "symbol": "lambda_back, lambda_theta, memory alpha, jitter, tolerances",
        "exact_form": "various sweep values",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "NEVER PROMOTE TO THEORY CONSTANTS",
        "next_gate": "sensitivity reporting only",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "lambda_back, lambda_theta, memory alpha, jitter, tolerances",
        "reconciliation_notes": "method control only"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "O03",
        "symbol": "lambda_back, lambda_theta, memory alpha, jitter, tolerances",
        "exact_form": "various sweep values",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "NEVER PROMOTE TO THEORY CONSTANTS",
        "next_gate": "sensitivity reporting only"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: sensitivity reporting only",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O04",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O04",
        "symbol": "rho_n, nu_n",
        "exact_form": "bounded leakage / zero-mean perturbation terms",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "CONSTRAINTS ONLY",
        "next_gate": "eventual universal-derivability horizon or explicit quarantine",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "\\rho_n, \\nu_n",
        "reconciliation_notes": "not a tunable coefficient"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "O04",
        "symbol": "rho_n, nu_n",
        "exact_form": "bounded leakage / zero-mean perturbation terms",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "CONSTRAINTS ONLY",
        "next_gate": "eventual universal-derivability horizon or explicit quarantine"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: eventual universal-derivability horizon or explicit quarantine",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O05",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O05",
        "symbol": "Xi_n, Delta_n",
        "exact_form": "context/deviation inputs",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "LOCAL EXOGENEITY FOR RIGOR; GLOBAL DERIVABILITY HORIZON",
        "next_gate": "derive or quarantine at global horizon",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "\\Xi_n, \\Delta_n",
        "reconciliation_notes": "not a tunable coefficient"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "O05",
        "symbol": "Xi_n, Delta_n",
        "exact_form": "context/deviation inputs",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "LOCAL EXOGENEITY FOR RIGOR; GLOBAL DERIVABILITY HORIZON",
        "next_gate": "derive or quarantine at global horizon"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: derive or quarantine at global horizon",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "L01",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "L01",
        "symbol": "D_OLD9",
        "exact_form": "diag(3/4, 4/3)",
        "claim_bin": "SOURCE_STRATUM",
        "status": "AUTO_LOCK AS EXACT ARCHIVAL OPERATOR CLASS; CURRENT DYNAMICAL/ATOMIC REUSE AUTO_FREEZE",
        "next_gate": "new independent state-to-observable/source theorem if reused",
        "use_class": "SOURCE_STRATUM",
        "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.",
        "display_symbol": "D_OLD9",
        "reconciliation_notes": "historical/source-layer; not current physical canon"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "L01",
        "symbol": "D_OLD9",
        "exact_form": "diag(3/4, 4/3)",
        "claim_bin": "SOURCE_STRATUM",
        "status": "AUTO_LOCK AS EXACT ARCHIVAL OPERATOR CLASS; CURRENT DYNAMICAL/ATOMIC REUSE AUTO_FREEZE",
        "next_gate": "new independent state-to-observable/source theorem if reused"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "HISTORICAL — REBASE REQUIRED",
      "reuse_limit": "Retain the original SOURCE_STRATUM claim only within its stated source premises. Current reopening/next gate: new independent state-to-observable/source theorem if reused",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "X01",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "X01",
        "symbol": "C_enh^(legacy)",
        "exact_form": "2^n",
        "claim_bin": "EXPELLED",
        "status": "PERMANENTLY EXPELLED",
        "next_gate": "none; historical risk record only",
        "use_class": "EXPELLED",
        "claim_bin_meaning": "Rejected route retained only as an append-only risk/history artifact.",
        "display_symbol": "C_enh^(legacy)",
        "reconciliation_notes": "do not reuse in mainline derivation"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "X01",
        "symbol": "C_enh^(legacy)",
        "exact_form": "2^n",
        "claim_bin": "EXPELLED",
        "status": "PERMANENTLY EXPELLED",
        "next_gate": "none; historical risk record only"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "UNQUALIFIED REUSE FROZEN / RETIRED",
      "reuse_limit": "Retain the original EXPELLED claim only within its stated source premises. Current reopening/next gate: none; historical risk record only",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "X02",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "X02",
        "symbol": "eta_k, sigma_k (OAM)",
        "exact_form": "calibrated empirical values",
        "claim_bin": "SIMULATION_CALIBRATED",
        "status": "ALLOWED ONLY IN HELD-OUT EMPIRICAL MODELING",
        "next_gate": "out-of-sample forecast evaluation",
        "use_class": "PROTOCOL_CALIBRATED",
        "claim_bin_meaning": "Value calibrated or passed inside a declared simulation protocol; not a universal theory constant.",
        "display_symbol": "eta_k, sigma_k (OAM)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "X02",
        "symbol": "eta_k, sigma_k (OAM)",
        "exact_form": "calibrated empirical values",
        "claim_bin": "SIMULATION_CALIBRATED",
        "status": "ALLOWED ONLY IN HELD-OUT EMPIRICAL MODELING",
        "next_gate": "out-of-sample forecast evaluation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SIMULATION / CALIBRATION — SOURCE SCOPE",
      "reuse_limit": "Retain the original SIMULATION_CALIBRATED claim only within its stated source premises. Current reopening/next gate: out-of-sample forecast evaluation",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q22",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q22",
        "symbol": "kappa_theta,pair^current",
        "exact_form": "0",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / SEAM-SECTOR PAIRING SOURCE ZERO; DISTINCT PROVENANCE FROM Q06 BROADER CURRENT-SOURCE ZERO",
        "next_gate": "derive non-uniform edge stiffness from current primitives if this lane is to activate",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "kappa_theta,pair^current",
        "reconciliation_notes": "COLLISION-07: zero-valued source amplitudes with distinct provenance"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q22",
        "symbol": "kappa_theta,pair^current",
        "exact_form": "0",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / SEAM-SECTOR PAIRING SOURCE ZERO; DISTINCT PROVENANCE FROM Q06 BROADER CURRENT-SOURCE ZERO",
        "next_gate": "derive non-uniform edge stiffness from current primitives if this lane is to activate"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: derive non-uniform edge stiffness from current primitives if this lane is to activate Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [
        {
          "ref_id": "Q06",
          "field": "status",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q23",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q23",
        "symbol": "a_ij^(src)",
        "exact_form": "2 eta_O w_ij Xi_ij",
        "claim_bin": "SOURCE_STRATUM",
        "status": "SALVAGED AS TYPE-CORRECT CONDITIONAL MECHANISM / NOT CURRENT FINE-HISTORY CANON",
        "next_gate": "current primitive rebuild of w_ij and Xi_ij",
        "use_class": "SOURCE_STRATUM",
        "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.",
        "display_symbol": "a_ij^(src)",
        "reconciliation_notes": "historical/source-layer; not current physical canon"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q23",
        "symbol": "a_ij^(src)",
        "exact_form": "2 eta_O w_ij Xi_ij",
        "claim_bin": "SOURCE_STRATUM",
        "status": "SALVAGED AS TYPE-CORRECT CONDITIONAL MECHANISM / NOT CURRENT FINE-HISTORY CANON",
        "next_gate": "current primitive rebuild of w_ij and Xi_ij"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "HISTORICAL — REBASE REQUIRED",
      "reuse_limit": "Retain the original SOURCE_STRATUM claim only within its stated source premises. Current reopening/next gate: current primitive rebuild of w_ij and Xi_ij",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q24",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q24",
        "symbol": "c_{ij}^(H,cand)",
        "exact_form": "(eta_O/2)(w_ij Xi_ij + w_ji Xi_ji)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL FORM / SOURCE VARIABLES NOT CURRENTLY DERIVED",
        "next_gate": "derive w_ij, Xi_ij and positivity from current primitives",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "c_{ij}^(H,cand)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q24",
        "symbol": "c_{ij}^(H,cand)",
        "exact_form": "(eta_O/2)(w_ij Xi_ij + w_ji Xi_ji)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL FORM / SOURCE VARIABLES NOT CURRENTLY DERIVED",
        "next_gate": "derive w_ij, Xi_ij and positivity from current primitives"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive w_ij, Xi_ij and positivity from current primitives",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q25",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q25",
        "symbol": "w_ij",
        "exact_form": "OPEN / source-stratum notation collision",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK NOTATION-COLLISION RULE / NO SINGLE CURRENT CANONICAL DEFINITION",
        "next_gate": "derive one current typed edge-weight law or split symbols permanently by role",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "w_ij",
        "reconciliation_notes": "not a tunable coefficient"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q25",
        "symbol": "w_ij",
        "exact_form": "OPEN / source-stratum notation collision",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK NOTATION-COLLISION RULE / NO SINGLE CURRENT CANONICAL DEFINITION",
        "next_gate": "derive one current typed edge-weight law or split symbols permanently by role"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: derive one current typed edge-weight law or split symbols permanently by role Consult ARA05, ARA06 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05",
        "ARA06"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q26",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q26",
        "symbol": "Xi_ij^(route)",
        "exact_form": "OPEN",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK PRIMITIVE DEFINITION OPEN / AUTO_FREEZE AS TUNING FACTOR",
        "next_gate": "derive state space, symmetry, update law and normalization from current UD primitives",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "Xi_ij^(route)",
        "reconciliation_notes": "not a tunable coefficient"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q26",
        "symbol": "Xi_ij^(route)",
        "exact_form": "OPEN",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK PRIMITIVE DEFINITION OPEN / AUTO_FREEZE AS TUNING FACTOR",
        "next_gate": "derive state space, symmetry, update law and normalization from current UD primitives"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: derive state space, symmetry, update law and normalization from current UD primitives Consult ARA05, ARA06 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05",
        "ARA06"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q27",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q27",
        "symbol": "c_e^star",
        "exact_form": "3/4",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK",
        "next_gate": "none for null control",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "c_e^star",
        "reconciliation_notes": "COLLISION-03: repeated 3/4 value on different carriers"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q27",
        "symbol": "c_e^star",
        "exact_form": "3/4",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK",
        "next_gate": "none for null control"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for null control Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q28",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q28",
        "symbol": "alpha_B^2",
        "exact_form": "5",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL",
        "next_gate": "derive/recover native 18-shell vector set",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "alpha_B^2",
        "reconciliation_notes": "COLLISION-08: repeated dimension/value 5"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q28",
        "symbol": "alpha_B^2",
        "exact_form": "5",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL",
        "next_gate": "derive/recover native 18-shell vector set"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive/recover native 18-shell vector set",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q29",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q29",
        "symbol": "alpha_B",
        "exact_form": "sqrt(5)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL",
        "next_gate": "same as Q28",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "alpha_B",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q29",
        "symbol": "alpha_B",
        "exact_form": "sqrt(5)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL",
        "next_gate": "same as Q28"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: same as Q28",
      "amendment_ids": [],
      "explicit_references": [
        {
          "ref_id": "Q28",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q30",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q30",
        "symbol": "epsilon_pilot",
        "exact_form": "1/8",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_FREEZE FROM THEORY USE",
        "next_gate": "none",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "epsilon_pilot",
        "reconciliation_notes": "method control only"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q30",
        "symbol": "epsilon_pilot",
        "exact_form": "1/8",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_FREEZE FROM THEORY USE",
        "next_gate": "none"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: none",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q31",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q31",
        "symbol": "epsilon_pair(H)",
        "exact_form": "(1/2) Tr(I-rho_pair(H)) = (1/4)\\|\\|I-rho_pair(H)\\|\\|_F^2",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / STRUCTURAL CURVATURE OBSERVABLE; NOT ACTION COEFFICIENT",
        "next_gate": "action weighting remains G05",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "epsilon_pair(H)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q31",
        "symbol": "epsilon_pair(H)",
        "exact_form": "(1/2) Tr(I-rho_pair(H)) = (1/4)\\|\\|I-rho_pair(H)\\|\\|_F^2",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / STRUCTURAL CURVATURE OBSERVABLE; NOT ACTION COEFFICIENT",
        "next_gate": "action weighting remains G05"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: action weighting remains G05 Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [
        {
          "ref_id": "G05",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q32",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q32",
        "symbol": "C_pair^600",
        "exact_form": "720",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / STRUCTURAL DIAGNOSTIC ONLY",
        "next_gate": "physical action requires G05",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "C_pair^600",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q32",
        "symbol": "C_pair^600",
        "exact_form": "720",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / STRUCTURAL DIAGNOSTIC ONLY",
        "next_gate": "physical action requires G05"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: physical action requires G05",
      "amendment_ids": [],
      "explicit_references": [
        {
          "ref_id": "G05",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q33",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q33",
        "symbol": "T_pair,raw^600",
        "exact_form": "1440",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / RAW TRACE SUM; NOT PHYSICAL ACTION",
        "next_gate": "conditional action form 1440*kappa_loop only after G05 is derived",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "T_pair,raw^600",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q33",
        "symbol": "T_pair,raw^600",
        "exact_form": "1440",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / RAW TRACE SUM; NOT PHYSICAL ACTION",
        "next_gate": "conditional action form 1440*kappa_loop only after G05 is derived"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: conditional action form 1440*kappa_loop only after G05 is derived",
      "amendment_ids": [],
      "explicit_references": [
        {
          "ref_id": "G05",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q34",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q34",
        "symbol": "epsilon_pair([s_A,s_B])",
        "exact_form": "3/2 for distinct pairing transpositions",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / DIAGNOSTIC ONLY; NO CURRENT COMMUTATOR ACTION TERM",
        "next_gate": "derive an action term before dynamical use",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "epsilon_pair([s_A,s_B])",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q34",
        "symbol": "epsilon_pair([s_A,s_B])",
        "exact_form": "3/2 for distinct pairing transpositions",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / DIAGNOSTIC ONLY; NO CURRENT COMMUTATOR ACTION TERM",
        "next_gate": "derive an action term before dynamical use"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: derive an action term before dynamical use Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "G05",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "G05",
        "symbol": "kappa_loop^master",
        "exact_form": "RETIRED FROM MAINLINE AS UNIVERSAL SCALAR; Q35 endpoint-defect scalarization is LOCKED_NO_GO; restricted scalar aliases require an explicit sufficiency/proportionality theorem",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "AUTO_FREEZE AS MAINLINE UNIVERSAL SCALAR / HISTORICAL PROVENANCE RETAINED / ACTION SHAPE AND A-B-C RELAY AGGREGATION CLOSED VIA O09",
        "next_gate": "only reopen a scalar alias on a declared restricted domain after proving that the chosen coarse history variable is sufficient for O09 and that proportionality is carrier-stable",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "kappa_loop^master (retired mainline scalar)",
        "reconciliation_notes": "v0.40 scientific repair: universal scalar G05 retired from mainline; Q35 endpoint-defect scalar route is a locked no-go; restricted scalar aliases require a new sufficiency theorem; prior v0.39R1 row preserved."
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "G05",
        "symbol": "kappa_loop^master",
        "exact_form": "OPEN mainline; geometry/second moments do not identify omega_E; normalized loop weight 1 only conditional on SA-026",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "SOURCE-BLOCKED MAINLINE / GLOBAL MICRO SUPPORT AND OWNERSHIP CLOSED; OPEN-SYSTEM BREATHING AND ACTION MAP OPEN",
        "next_gate": "derive open-system support source/sink/gate-transition receipts, renewal and viability, then obstruction/action bridge"
      },
      "version_relation": "VERSIONED_FIELDS_CHANGED",
      "changed_fields": [
        "exact_form",
        "status",
        "next_gate"
      ],
      "current_disposition": "UNQUALIFIED REUSE FROZEN / RETIRED",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: only reopen a scalar alias on a declared restricted domain after proving that the chosen coarse history variable is sufficient for O09 and that proportionality is carrier-stable Consult ARA01, ARA07 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01",
        "ARA07"
      ],
      "explicit_references": [
        {
          "ref_id": "Q35",
          "field": "exact_form",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        },
        {
          "ref_id": "O09",
          "field": "status",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        },
        {
          "ref_id": "O09",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        },
        {
          "ref_id": "Q35",
          "field": "reconciliation_notes",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "G06",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "G06",
        "symbol": "xi_hbar^(action-normalization provenance)",
        "exact_form": "HISTORICAL BARE-SYMBOL COLLISION: xi_hbar^(A)=eta_A for A0=xi_hbar^(A) hbar; xi_hbar^(B)=eta_A^(-1) for hbar=xi_hbar^(B) A0; current canonical ratio is eta_A=A0/hbar",
        "claim_bin": "SOURCE_STRATUM",
        "status": "AUTO_FREEZE BARE xi_hbar / HISTORICAL RECIPROCAL ALIASES ONLY / CURRENT CANON MOVED TO eta_A",
        "next_gate": "recover primitive quantum-holonomy normalization and test whether its xi_act is identified with the current unit-map normalization; numerical eta_A remains target-blind/open",
        "use_class": "SOURCE_STRATUM",
        "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.",
        "display_symbol": "xi_hbar^(action-normalization provenance)",
        "reconciliation_notes": "v0.43: v0.42 historical recovery failure preserved, but current convention ambiguity is closed by the 2026-08-29 PASS_REPAIR defining eta_A=A0/hbar."
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "G06",
        "symbol": "xi_hbar^(action-normalization provenance)",
        "exact_form": "OPEN in current reproducible source package; historical operational PASS reported",
        "claim_bin": "SOURCE_STRATUM",
        "status": "HISTORICAL PASS PRESERVED / CURRENT DERIVATION RECEIPT NOT RECOVERED",
        "next_gate": "recover source-complete derivation before current canonical use"
      },
      "version_relation": "VERSIONED_FIELDS_CHANGED",
      "changed_fields": [
        "exact_form",
        "status",
        "next_gate"
      ],
      "current_disposition": "HISTORICAL — REBASE REQUIRED",
      "reuse_limit": "Retain the original SOURCE_STRATUM claim only within its stated source premises. Current reopening/next gate: recover primitive quantum-holonomy normalization and test whether its xi_act is identified with the current unit-map normalization; numerical eta_A remains target-blind/open Consult ARA01, ARA07 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01",
        "ARA07"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q35",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q35",
        "symbol": "Phi_hat_R(H)",
        "exact_form": "1-(1/d_R) Re Tr R(H) = (1/d_R) Re Tr(I-R(H))",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / REPRESENTATION-ROBUST ENDPOINT LOOP-DEFECT VARIABLE / NOT ACCUMULATED ACTION",
        "next_gate": "none for defect observable; endpoint-defect -> canonical action universal scalar route is LOCKED_NO_GO; use O09 for accumulated action",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "Phi_hat_R(H)",
        "reconciliation_notes": "v0.40: odd-framing witness proves no universal scalar maps Q35 endpoint defect to accumulated canonical action."
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q35",
        "symbol": "Phi_hat_R(H)",
        "exact_form": "1-(1/d_R) Re Tr R(H) = (1/d_R) Re Tr(I-R(H))",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / REPRESENTATION-ROBUST STRUCTURAL LOOP VARIABLE",
        "next_gate": "derive action aggregation before assigning universal dynamical weight"
      },
      "version_relation": "VERSIONED_FIELDS_CHANGED",
      "changed_fields": [
        "status",
        "next_gate"
      ],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for defect observable; endpoint-defect -> canonical action universal scalar route is LOCKED_NO_GO; use O09 for accumulated action Exact source status is not a new proof audit or physical identification. Consult ARA01 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01"
      ],
      "explicit_references": [
        {
          "ref_id": "O09",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "G07",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "G07",
        "symbol": "kappa_raw^(R)",
        "exact_form": "1/d_R conditional on rewriting unit normalized loop cost as raw trace",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / NOT UNIVERSAL PHYSICAL COUPLING",
        "next_gate": "none as bookkeeping; physical action weight remains G05",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "kappa_raw^(R)",
        "reconciliation_notes": "ALIAS-01: same-symbol/same-form provenance duplicate"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "G07",
        "symbol": "kappa_raw^(R)",
        "exact_form": "1/d_R conditional on rewriting unit normalized loop cost as raw trace",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / NOT UNIVERSAL PHYSICAL COUPLING",
        "next_gate": "none as bookkeeping; physical action weight remains G05"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: none as bookkeeping; physical action weight remains G05",
      "amendment_ids": [],
      "explicit_references": [
        {
          "ref_id": "G05",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "G08",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "G08",
        "symbol": "g_curv,norm^(path)",
        "exact_form": "REJECTED as direct packet-curvature bridge; unit coefficient remains only on declared coarse path obstruction coordinate sigma_C",
        "claim_bin": "EXPELLED",
        "status": "AUTO_FREEZE / DIRECT BRIDGE REJECTED",
        "next_gate": "derive micro->breathing->obstruction coarse-graining; do not reuse G08",
        "use_class": "EXPELLED",
        "claim_bin_meaning": "Rejected route retained only as an append-only risk/history artifact.",
        "display_symbol": "g_curv,norm^(path)",
        "reconciliation_notes": "do not reuse in mainline derivation"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "G08",
        "symbol": "g_curv,norm^(path)",
        "exact_form": "REJECTED as direct packet-curvature bridge; unit coefficient remains only on declared coarse path obstruction coordinate sigma_C",
        "claim_bin": "EXPELLED",
        "status": "AUTO_FREEZE / DIRECT BRIDGE REJECTED",
        "next_gate": "derive micro->breathing->obstruction coarse-graining; do not reuse G08"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "UNQUALIFIED REUSE FROZEN / RETIRED",
      "reuse_limit": "Retain the original EXPELLED claim only within its stated source premises. Current reopening/next gate: derive micro->breathing->obstruction coarse-graining; do not reuse G08",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O06",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O06",
        "symbol": "Vol_mu(Y_n)",
        "exact_form": "OPEN unless internal measure is canonically fixed",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_FREEZE AS HIDDEN NORMALIZATION IF UNFIXED",
        "next_gate": "derive native measure theorem if continuous extra dimension is ever used",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "Vol_mu(Y_n)",
        "reconciliation_notes": "not a tunable coefficient"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "O06",
        "symbol": "Vol_mu(Y_n)",
        "exact_form": "OPEN unless internal measure is canonically fixed",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_FREEZE AS HIDDEN NORMALIZATION IF UNFIXED",
        "next_gate": "derive native measure theorem if continuous extra dimension is ever used"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: derive native measure theorem if continuous extra dimension is ever used",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O07",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O07",
        "symbol": "C_{Sigma<-X}",
        "exact_form": "OPEN",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "SOURCE-BLOCKED / REQUIRED BEFORE ACTION-COEFFICIENT TRANSFER",
        "next_gate": "derive explicit numerical obstruction functions or recover telemetry",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "C_{Sigma<-X}",
        "reconciliation_notes": "not a tunable coefficient"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "O07",
        "symbol": "C_{Sigma<-X}",
        "exact_form": "OPEN",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "SOURCE-BLOCKED / REQUIRED BEFORE ACTION-COEFFICIENT TRANSFER",
        "next_gate": "derive explicit numerical obstruction functions or recover telemetry"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: derive explicit numerical obstruction functions or recover telemetry",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O08",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O08",
        "symbol": "F_O,F_B,F_C",
        "exact_form": "qualitative/monotonic archival mappings; numerical current formulas OPEN",
        "claim_bin": "SOURCE_STRATUM",
        "status": "SEMANTIC/MONOTONIC TYPE INFORMATION PRESERVED / NUMERICAL EXECUTION BLOCKED",
        "next_gate": "derive source-complete formulas or telemetry",
        "use_class": "SOURCE_STRATUM",
        "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.",
        "display_symbol": "F_O,F_B,F_C",
        "reconciliation_notes": "historical/source-layer; not current physical canon"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "O08",
        "symbol": "F_O,F_B,F_C",
        "exact_form": "qualitative/monotonic archival mappings; numerical current formulas OPEN",
        "claim_bin": "SOURCE_STRATUM",
        "status": "SEMANTIC/MONOTONIC TYPE INFORMATION PRESERVED / NUMERICAL EXECUTION BLOCKED",
        "next_gate": "derive source-complete formulas or telemetry"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "HISTORICAL — REBASE REQUIRED",
      "reuse_limit": "Retain the original SOURCE_STRATUM claim only within its stated source premises. Current reopening/next gate: derive source-complete formulas or telemetry",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O09",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O09",
        "symbol": "I_loop->Hodge",
        "exact_form": "I_lift = (1/2) sum_{omega>0} a_omega Delta_phi_tilde_omega; closed history = pi sum_{omega>0} n_omega a_omega",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK / CURRENT MAINLINE LIFTED LOOP-HISTORY TO CANONICAL HODGE ACTION MAP / TEMPORALLY ADDITIVE / ORTHOGONAL-HODGE-INTERTWINER COVARIANT",
        "next_gate": "extend to contractive/open-system action defect; test Q136 as a possible sufficient compression; dimensional physical action remains downstream through G06",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "\\mathcal I_{\\rm loop\\to Hodge}",
        "reconciliation_notes": "NEW v0.40 mainline action map replacing universal scalar G05 use; physical promotion 0."
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: extend to contractive/open-system action defect; test Q136 as a possible sufficient compression; dimensional physical action remains downstream through G06 Consult ARA01 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01"
      ],
      "explicit_references": [
        {
          "ref_id": "Q136",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        },
        {
          "ref_id": "G06",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        },
        {
          "ref_id": "G05",
          "field": "reconciliation_notes",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q36",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q36",
        "symbol": "S_path vs S_pkt scale relation",
        "exact_form": "distinct declared scale functionals; equality not currently derived",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / DIRECT EQUALITY FROZEN",
        "next_gate": "derive aggregation/coarse-graining theorem",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "S_path vs S_pkt scale relation",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q36",
        "symbol": "S_path vs S_pkt scale relation",
        "exact_form": "distinct declared scale functionals; equality not currently derived",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / DIRECT EQUALITY FROZEN",
        "next_gate": "derive aggregation/coarse-graining theorem"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: derive aggregation/coarse-graining theorem Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q37",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q37",
        "symbol": "f_tern->pair,compatible",
        "exact_form": "19/25",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / STRUCTURAL FRACTION ONLY",
        "next_gate": "none for count; physical interpretation blocked",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "f_tern->pair,compatible",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q37",
        "symbol": "f_tern->pair,compatible",
        "exact_form": "19/25",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / STRUCTURAL FRACTION ONLY",
        "next_gate": "none for count; physical interpretation blocked"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for count; physical interpretation blocked Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q38",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q38",
        "symbol": "f_tern->pair,defect",
        "exact_form": "6/25",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT PROBABILITY OR COUPLING",
        "next_gate": "none structurally",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "f_tern->pair,defect",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q38",
        "symbol": "f_tern->pair,defect",
        "exact_form": "6/25",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT PROBABILITY OR COUPLING",
        "next_gate": "none structurally"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none structurally Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q39",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q39",
        "symbol": "C_pair^(tern-corrected,600)",
        "exact_form": "432",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / STRUCTURAL CURVATURE ONLY",
        "next_gate": "physical sector selection remains open",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "C_pair^(tern-corrected,600)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q39",
        "symbol": "C_pair^(tern-corrected,600)",
        "exact_form": "432",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / STRUCTURAL CURVATURE ONLY",
        "next_gate": "physical sector selection remains open"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: physical sector selection remains open",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q40",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q40",
        "symbol": "C_pair^(tern)/C_pair^(binary)",
        "exact_form": "3/5",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / NOT SECTOR PROBABILITY",
        "next_gate": "requires selection action for physical meaning",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "C_pair^(tern)/C_pair^(binary)",
        "reconciliation_notes": "COLLISION-05: same 3/5 value, collision-guarded"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q40",
        "symbol": "C_pair^(tern)/C_pair^(binary)",
        "exact_form": "3/5",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / NOT SECTOR PROBABILITY",
        "next_gate": "requires selection action for physical meaning"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: requires selection action for physical meaning",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q41",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q41",
        "symbol": "Delta C_pair/C_pair^(binary)",
        "exact_form": "2/5",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / NOT PHYSICAL ENERGY SAVING",
        "next_gate": "cross-cell-degree selection measure required",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "Delta C_pair/C_pair^(binary)",
        "reconciliation_notes": "COLLISION-06: same 2/5 value, distinct roles"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q41",
        "symbol": "Delta C_pair/C_pair^(binary)",
        "exact_form": "2/5",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / NOT PHYSICAL ENERGY SAVING",
        "next_gate": "cross-cell-degree selection measure required"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: cross-cell-degree selection measure required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q42",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q42",
        "symbol": "N_delta^(tern->pair)",
        "exact_form": "288",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT ACTION COST",
        "next_gate": "derive cell-degree measure before action use",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "N_delta^(tern->pair)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q42",
        "symbol": "N_delta^(tern->pair)",
        "exact_form": "288",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT ACTION COST",
        "next_gate": "derive cell-degree measure before action use"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: derive cell-degree measure before action use Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q43",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q43",
        "symbol": "R_boundary,shift2",
        "exact_form": "3",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / OBSERVABLE-FACING DIMENSIONLESS SHAPE; NOT PHYSICAL CONSTANT",
        "next_gate": "independent retained-mode telemetry",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "R_boundary,shift2",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q43",
        "symbol": "R_boundary,shift2",
        "exact_form": "3",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / OBSERVABLE-FACING DIMENSIONLESS SHAPE; NOT PHYSICAL CONSTANT",
        "next_gate": "independent retained-mode telemetry"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: independent retained-mode telemetry",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q44",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q44",
        "symbol": "R_boundary,gap2",
        "exact_form": "2",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / OBSERVABLE-FACING DIMENSIONLESS SHAPE",
        "next_gate": "independent retained-mode telemetry",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "R_boundary,gap2",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q44",
        "symbol": "R_boundary,gap2",
        "exact_form": "2",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / OBSERVABLE-FACING DIMENSIONLESS SHAPE",
        "next_gate": "independent retained-mode telemetry"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: independent retained-mode telemetry",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q45",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q45",
        "symbol": "S_boundary,tf",
        "exact_form": "(-4,-1,5) up to common scale",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / SHAPE VECTOR; NOT COEFFICIENT",
        "next_gate": "independent retained-mode telemetry and protected mode identification",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "S_boundary,tf",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q45",
        "symbol": "S_boundary,tf",
        "exact_form": "(-4,-1,5) up to common scale",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / SHAPE VECTOR; NOT COEFFICIENT",
        "next_gate": "independent retained-mode telemetry and protected mode identification"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: independent retained-mode telemetry and protected mode identification",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q46",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q46",
        "symbol": "tau_blind^K",
        "exact_form": "4*pi*sqrt(2/33)",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / INTERNAL KÄHLER PARAMETER; NOT PHYSICAL TIME",
        "next_gate": "derive unit/measurement map before physical time interpretation",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "tau_blind^K",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q46",
        "symbol": "tau_blind^K",
        "exact_form": "4*pi*sqrt(2/33)",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / INTERNAL KÄHLER PARAMETER; NOT PHYSICAL TIME",
        "next_gate": "derive unit/measurement map before physical time interpretation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: derive unit/measurement map before physical time interpretation Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q47",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q47",
        "symbol": "chi_blind^(boundary)",
        "exact_form": "0",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / STRUCTURAL NULL RESPONSE; NOT EMPIRICAL SUSCEPTIBILITY",
        "next_gate": "projective/observable factorization or independent dynamics test",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "chi_blind^(boundary)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q47",
        "symbol": "chi_blind^(boundary)",
        "exact_form": "0",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / STRUCTURAL NULL RESPONSE; NOT EMPIRICAL SUSCEPTIBILITY",
        "next_gate": "projective/observable factorization or independent dynamics test"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: projective/observable factorization or independent dynamics test Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q48",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q48",
        "symbol": "k_K4,continuity",
        "exact_form": "1/4",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT DYNAMICAL OR PHYSICAL COUPLING",
        "next_gate": "physical current units remain open",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "k_K4,continuity",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q48",
        "symbol": "k_K4,continuity",
        "exact_form": "1/4",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT DYNAMICAL OR PHYSICAL COUPLING",
        "next_gate": "physical current units remain open"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: physical current units remain open Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q49",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q49",
        "symbol": "omega_K4^chain",
        "exact_form": "2",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT PHYSICAL FREQUENCY",
        "next_gate": "derive unit/evolution-parameter map before physical-frequency use",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "omega_K4^chain",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q49",
        "symbol": "omega_K4^chain",
        "exact_form": "2",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT PHYSICAL FREQUENCY",
        "next_gate": "derive unit/evolution-parameter map before physical-frequency use"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: derive unit/evolution-parameter map before physical-frequency use Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q50",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q50",
        "symbol": "s_rec^K4_chain",
        "exact_form": "pi",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT PHYSICAL TIME",
        "next_gate": "evolution-parameter/unit map",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "s_rec^K4_chain",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q50",
        "symbol": "s_rec^K4_chain",
        "exact_form": "pi",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT PHYSICAL TIME",
        "next_gate": "evolution-parameter/unit map"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: evolution-parameter/unit map Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q51",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q51",
        "symbol": "N_active^chain",
        "exact_form": "14",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT SPACETIME DIMENSION",
        "next_gate": "none for count; physical interpretation separately gated",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "N_active^chain",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q51",
        "symbol": "N_active^chain",
        "exact_form": "14",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT SPACETIME DIMENSION",
        "next_gate": "none for count; physical interpretation separately gated"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for count; physical interpretation separately gated Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q52",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q52",
        "symbol": "dim C1_grad : dim C1_cycle",
        "exact_form": "3:3",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NO AUTOMATIC IDENTIFICATION WITH OTHER 3+3 SPLITS",
        "next_gate": "typed intertwiner required for any identification with named packet sectors",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "dim C1_grad : dim C1_cycle",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q52",
        "symbol": "dim C1_grad : dim C1_cycle",
        "exact_form": "3:3",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NO AUTOMATIC IDENTIFICATION WITH OTHER 3+3 SPLITS",
        "next_gate": "typed intertwiner required for any identification with named packet sectors"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: typed intertwiner required for any identification with named packet sectors Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q53",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q53",
        "symbol": "N_twisted,local",
        "exact_form": "30",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / INTERNAL-FIBER DIMENSION ONLY",
        "next_gate": "none for count",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "N_twisted,local",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q53",
        "symbol": "N_twisted,local",
        "exact_form": "30",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / INTERNAL-FIBER DIMENSION ONLY",
        "next_gate": "none for count"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none for count Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q54",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q54",
        "symbol": "N_twisted,active,local",
        "exact_form": "28",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / INTERNAL-FIBER DIMENSION ONLY",
        "next_gate": "global holonomy modifies parallel-zero-mode structure",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "N_twisted,active,local",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q54",
        "symbol": "N_twisted,active,local",
        "exact_form": "28",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / INTERNAL-FIBER DIMENSION ONLY",
        "next_gate": "global holonomy modifies parallel-zero-mode structure"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: global holonomy modifies parallel-zero-mode structure Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q55",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q55",
        "symbol": "N_parallel^(full S3)",
        "exact_form": "0",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT PHYSICAL VACUUM DEGENERACY",
        "next_gate": "observable/measurement interpretation",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "N_parallel^(full S3)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q55",
        "symbol": "N_parallel^(full S3)",
        "exact_form": "0",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT PHYSICAL VACUUM DEGENERACY",
        "next_gate": "observable/measurement interpretation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: observable/measurement interpretation Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q56",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q56",
        "symbol": "N_parallel^(corrected Z2)",
        "exact_form": "1",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT PHYSICAL VACUUM DEGENERACY",
        "next_gate": "observable/measurement interpretation",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "N_parallel^(corrected Z2)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q56",
        "symbol": "N_parallel^(corrected Z2)",
        "exact_form": "1",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NOT PHYSICAL VACUUM DEGENERACY",
        "next_gate": "observable/measurement interpretation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: observable/measurement interpretation Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q57",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q57",
        "symbol": "f_split^(twisted,Z2 corrected)",
        "exact_form": "3/5",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / DISTINCT FROM CURVATURE 3/5 COLLISION",
        "next_gate": "protected twisted-monodromy observable",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "f_split^(twisted,Z2 corrected)",
        "reconciliation_notes": "COLLISION-05: same 3/5 value, collision-guarded"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q57",
        "symbol": "f_split^(twisted,Z2 corrected)",
        "exact_form": "3/5",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / DISTINCT FROM CURVATURE 3/5 COLLISION",
        "next_gate": "protected twisted-monodromy observable"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: protected twisted-monodromy observable",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q58",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q58",
        "symbol": "C_ret(H)",
        "exact_form": "(1/2) Re Tr rho_pair(H)",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / INTERNAL RETURN OBSERVABLE; NOT PHYSICAL AUTOCORRELATION",
        "next_gate": "empirical carrier/measurement map",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "C_ret(H)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q58",
        "symbol": "C_ret(H)",
        "exact_form": "(1/2) Re Tr rho_pair(H)",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / INTERNAL RETURN OBSERVABLE; NOT PHYSICAL AUTOCORRELATION",
        "next_gate": "empirical carrier/measurement map"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: empirical carrier/measurement map Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q59",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q59",
        "symbol": "Cbar_ret^(600,S3)",
        "exact_form": "0",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / INTERNAL CONNECTION FINGERPRINT",
        "next_gate": "protected report/measurement bridge",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "Cbar_ret^(600,S3)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q59",
        "symbol": "Cbar_ret^(600,S3)",
        "exact_form": "0",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / INTERNAL CONNECTION FINGERPRINT",
        "next_gate": "protected report/measurement bridge"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: protected report/measurement bridge",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q60",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q60",
        "symbol": "Cbar_ret^(600,Z2corr)",
        "exact_form": "2/5",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / INTERNAL CONNECTION FINGERPRINT; COLLISION-GUARDED",
        "next_gate": "protected report/measurement bridge",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "Cbar_ret^(600,Z2corr)",
        "reconciliation_notes": "COLLISION-06: same 2/5 value, distinct roles"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q60",
        "symbol": "Cbar_ret^(600,Z2corr)",
        "exact_form": "2/5",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / INTERNAL CONNECTION FINGERPRINT; COLLISION-GUARDED",
        "next_gate": "protected report/measurement bridge"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: protected report/measurement bridge",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q61",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q61",
        "symbol": "P_Bell^proxy([H])",
        "exact_form": "{1,0,1/4} for {e,t,r}",
        "claim_bin": "EXACT_PROXY",
        "status": "AUTO_LOCK / IDEAL PROXY; NOT EMPIRICAL DATA",
        "next_gate": "apparatus qualification under independent uncertainty",
        "use_class": "PROXY",
        "claim_bin_meaning": "Exact in a declared proxy/idealization; does not establish a natural or physical carrier.",
        "display_symbol": "P_Bell^proxy([H])",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q61",
        "symbol": "P_Bell^proxy([H])",
        "exact_form": "{1,0,1/4} for {e,t,r}",
        "claim_bin": "EXACT_PROXY",
        "status": "AUTO_LOCK / IDEAL PROXY; NOT EMPIRICAL DATA",
        "next_gate": "apparatus qualification under independent uncertainty"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SOURCE SCOPE REQUIRED",
      "reuse_limit": "Retain the original EXACT_PROXY claim only within its stated source premises. Current reopening/next gate: apparatus qualification under independent uncertainty",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q62",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q62",
        "symbol": "Tr P3([H])",
        "exact_form": "{3,1,0} for {e,t,r}",
        "claim_bin": "EXACT_PROXY",
        "status": "AUTO_LOCK / IDEAL PROXY; NOT NATURAL CARRIER PROOF",
        "next_gate": "apparatus qualification or endogenous carrier theorem",
        "use_class": "PROXY",
        "claim_bin_meaning": "Exact in a declared proxy/idealization; does not establish a natural or physical carrier.",
        "display_symbol": "Tr P3([H])",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q62",
        "symbol": "Tr P3([H])",
        "exact_form": "{3,1,0} for {e,t,r}",
        "claim_bin": "EXACT_PROXY",
        "status": "AUTO_LOCK / IDEAL PROXY; NOT NATURAL CARRIER PROOF",
        "next_gate": "apparatus qualification or endogenous carrier theorem"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SOURCE SCOPE REQUIRED",
      "reuse_limit": "Retain the original EXACT_PROXY claim only within its stated source premises. Current reopening/next gate: apparatus qualification or endogenous carrier theorem",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q63",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q63",
        "symbol": "K_ctx(alpha,beta)",
        "exact_form": "Tr(sigma_E V_beta^dagger V_alpha)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / microscopic packet source open",
        "next_gate": "derive V_alpha from Omega0 / packet transport / holonomy",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "K_ctx(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q63",
        "symbol": "K_ctx(alpha,beta)",
        "exact_form": "Tr(sigma_E V_beta^dagger V_alpha)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / microscopic packet source open",
        "next_gate": "derive V_alpha from Omega0 / packet transport / holonomy"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive V_alpha from Omega0 / packet transport / holonomy",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q64",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q64",
        "symbol": "Gamma(alpha,beta)",
        "exact_form": "\\|K_ctx(alpha,beta)\\|",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / resolves prior abstract Gamma form at bridge level",
        "next_gate": "microscopic packet derivation",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Gamma(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q64",
        "symbol": "Gamma(alpha,beta)",
        "exact_form": "\\|K_ctx(alpha,beta)\\|",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / resolves prior abstract Gamma form at bridge level",
        "next_gate": "microscopic packet derivation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: microscopic packet derivation",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q65",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q65",
        "symbol": "D_dec(alpha,beta)",
        "exact_form": "-ln Gamma(alpha,beta)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / Gamma>0; +infinity at zero",
        "next_gate": "derive elementary contact overlap from packet dynamics",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "D_dec(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q65",
        "symbol": "D_dec(alpha,beta)",
        "exact_form": "-ln Gamma(alpha,beta)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / Gamma>0; +infinity at zero",
        "next_gate": "derive elementary contact overlap from packet dynamics"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: derive elementary contact overlap from packet dynamics",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q66",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q66",
        "symbol": "V_slit",
        "exact_form": "Gamma_LR",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / balanced equal-envelope idealization",
        "next_gate": "packet-level context overlap prediction",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "V_slit",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q66",
        "symbol": "V_slit",
        "exact_form": "Gamma_LR",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / balanced equal-envelope idealization",
        "next_gate": "packet-level context overlap prediction"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: packet-level context overlap prediction",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q67",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q67",
        "symbol": "C_Bell",
        "exact_form": "Gamma",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / pure-dephasing Bell family",
        "next_gate": "packet-level context overlap prediction",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "C_Bell",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q67",
        "symbol": "C_Bell",
        "exact_form": "Gamma",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / pure-dephasing Bell family",
        "next_gate": "packet-level context overlap prediction"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: packet-level context overlap prediction",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q68",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q68",
        "symbol": "S_CHSH,max(Gamma)",
        "exact_form": "2 sqrt(1+Gamma^2)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / not a novel Bell bound",
        "next_gate": "derive Gamma from packet dynamics before UD-specific prediction",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "S_CHSH,max(Gamma)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q68",
        "symbol": "S_CHSH,max(Gamma)",
        "exact_form": "2 sqrt(1+Gamma^2)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / not a novel Bell bound",
        "next_gate": "derive Gamma from packet dynamics before UD-specific prediction"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive Gamma from packet dynamics before UD-specific prediction",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q69",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q69",
        "symbol": "sigma_pair^*",
        "exact_form": "I_2/2",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / unbiased full-S3 context condition",
        "next_gate": "derive whether physical packet context realizes full pairing-unbiased state",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "sigma_pair^*",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q69",
        "symbol": "sigma_pair^*",
        "exact_form": "I_2/2",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / unbiased full-S3 context condition",
        "next_gate": "derive whether physical packet context realizes full pairing-unbiased state"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive whether physical packet context realizes full pairing-unbiased state",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q70",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q70",
        "symbol": "K_pair(alpha,beta)",
        "exact_form": "(1/2) Tr rho_pair(H_beta^-1 alpha)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / gauge-invariant relative-loop kernel",
        "next_gate": "physical branch-to-relative-holonomy map",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "K_pair(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q70",
        "symbol": "K_pair(alpha,beta)",
        "exact_form": "(1/2) Tr rho_pair(H_beta^-1 alpha)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / gauge-invariant relative-loop kernel",
        "next_gate": "physical branch-to-relative-holonomy map"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: physical branch-to-relative-holonomy map",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q71",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q71",
        "symbol": "Gamma_pair([H])",
        "exact_form": "{1,0,1/2} for {e,t,r}",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / discrete topological coherence factor",
        "next_gate": "continuous context factor derivation",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Gamma_pair([H])",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q71",
        "symbol": "Gamma_pair([H])",
        "exact_form": "{1,0,1/2} for {e,t,r}",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / discrete topological coherence factor",
        "next_gate": "continuous context factor derivation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: continuous context factor derivation",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q72",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q72",
        "symbol": "D_pair([H])",
        "exact_form": "{0,+infinity,ln(2)} for {e,t,r}",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / topological burden",
        "next_gate": "combine with continuous packet burden",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "D_pair([H])",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q72",
        "symbol": "D_pair([H])",
        "exact_form": "{0,+infinity,ln(2)} for {e,t,r}",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / topological burden",
        "next_gate": "combine with continuous packet burden"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: combine with continuous packet burden",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q73",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q73",
        "symbol": "S_CHSH,max^(pair,3cycle)",
        "exact_form": "sqrt(5)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / collision-guarded bridge value",
        "next_gate": "actual physical branch-to-holonomy mapping",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "S_CHSH,max^(pair,3cycle)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q73",
        "symbol": "S_CHSH,max^(pair,3cycle)",
        "exact_form": "sqrt(5)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / collision-guarded bridge value",
        "next_gate": "actual physical branch-to-holonomy mapping"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: actual physical branch-to-holonomy mapping",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q74",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q74",
        "symbol": "Gamma_total",
        "exact_form": "Gamma_pair Gamma_cont",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / continuous factor source-open",
        "next_gate": "derive Gamma_cont from packet/transport dynamics",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Gamma_total",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q74",
        "symbol": "Gamma_total",
        "exact_form": "Gamma_pair Gamma_cont",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / continuous factor source-open",
        "next_gate": "derive Gamma_cont from packet/transport dynamics"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive Gamma_cont from packet/transport dynamics",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q75",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q75",
        "symbol": "Gamma_pair,N",
        "exact_form": "0 or 2^(-m), m in N_0",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / continuum no-go witness",
        "next_gate": "derive non-pairing continuous context channel",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "Gamma_pair,N",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q75",
        "symbol": "Gamma_pair,N",
        "exact_form": "0 or 2^(-m), m in N_0",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / continuum no-go witness",
        "next_gate": "derive non-pairing continuous context channel"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: derive non-pairing continuous context channel",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q76",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q76",
        "symbol": "K_chain(alpha,beta)",
        "exact_form": "cos(Delta phi_chain)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / branch-to-s map open",
        "next_gate": "derive physical branch history -> s_alpha",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "K_chain(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q76",
        "symbol": "K_chain(alpha,beta)",
        "exact_form": "cos(Delta phi_chain)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / branch-to-s map open",
        "next_gate": "derive physical branch history -> s_alpha"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive physical branch history -> s_alpha",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q77",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q77",
        "symbol": "Gamma_chain(alpha,beta)",
        "exact_form": "\\|cos(Delta phi_chain)\\|",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / spans [0,1]",
        "next_gate": "derive branch-to-chain-phase map",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Gamma_chain(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q77",
        "symbol": "Gamma_chain(alpha,beta)",
        "exact_form": "\\|cos(Delta phi_chain)\\|",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / spans [0,1]",
        "next_gate": "derive branch-to-chain-phase map"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive branch-to-chain-phase map",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q78",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q78",
        "symbol": "D_chain(alpha,beta)",
        "exact_form": "-ln\\|cos(Delta phi_chain)\\|",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / finite away from cosine zeros",
        "next_gate": "derive physical chain-phase increments",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "D_chain(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q78",
        "symbol": "D_chain(alpha,beta)",
        "exact_form": "-ln\\|cos(Delta phi_chain)\\|",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / finite away from cosine zeros",
        "next_gate": "derive physical chain-phase increments"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: derive physical chain-phase increments",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q79",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q79",
        "symbol": "D_chain^(small phase)",
        "exact_form": "(1/2) sum_r (Delta phi_r)^2 + (1/12) sum_r (Delta phi_r)^4 + O(Delta phi^6)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / local small-phase regime only",
        "next_gate": "derive distribution/history of Delta phi_r",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "D_chain^(small phase)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q79",
        "symbol": "D_chain^(small phase)",
        "exact_form": "(1/2) sum_r (Delta phi_r)^2 + (1/12) sum_r (Delta phi_r)^4 + O(Delta phi^6)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / local small-phase regime only",
        "next_gate": "derive distribution/history of Delta phi_r"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: derive distribution/history of Delta phi_r",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q80",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q80",
        "symbol": "Gamma_pair+chain",
        "exact_form": "Gamma_pair \\|cos(Delta phi_chain)\\|",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / physical branch phase map open",
        "next_gate": "derive physical branch-to-holonomy and branch-to-chain-phase maps",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Gamma_pair+chain",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q80",
        "symbol": "Gamma_pair+chain",
        "exact_form": "Gamma_pair \\|cos(Delta phi_chain)\\|",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / physical branch phase map open",
        "next_gate": "derive physical branch-to-holonomy and branch-to-chain-phase maps"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive physical branch-to-holonomy and branch-to-chain-phase maps",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q81",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q81",
        "symbol": "Delta Phi_E(alpha,beta)",
        "exact_form": "Arg[u(P_beta)^(-1) u(P_alpha)] mod 2pi",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / context-side phase receipt; system/context typing enforced",
        "next_gate": "derive concrete packet context forcing that generates Phi_E",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Delta Phi_E(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q81",
        "symbol": "Delta Phi_E(alpha,beta)",
        "exact_form": "Arg[u(P_beta)^(-1) u(P_alpha)] mod 2pi",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / context-side phase receipt; system/context typing enforced",
        "next_gate": "derive concrete packet context forcing that generates Phi_E"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive concrete packet context forcing that generates Phi_E",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q82",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q82",
        "symbol": "n_seam->chain",
        "exact_form": "+1 or -1",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / orientation convention, not tunable continuous coefficient",
        "next_gate": "none for cosine kernel; signed orientation matters only if a later oriented observable is introduced",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "n_seam->chain",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q82",
        "symbol": "n_seam->chain",
        "exact_form": "+1 or -1",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / orientation convention, not tunable continuous coefficient",
        "next_gate": "none for cosine kernel; signed orientation matters only if a later oriented observable is introduced"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: none for cosine kernel; signed orientation matters only if a later oriented observable is introduced",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q83",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q83",
        "symbol": "phi_chain(P_alpha)",
        "exact_form": "n_seam->chain Phi_E(P_alpha) mod 2pi; s_alpha=n_seam->chain Phi_E(P_alpha)/2 mod pi",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / normalization closed; context sourcing open",
        "next_gate": "derive Phi_E from packet apparatus/environment interaction",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "phi_chain(P_alpha)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q83",
        "symbol": "phi_chain(P_alpha)",
        "exact_form": "n_seam->chain Phi_E(P_alpha) mod 2pi; s_alpha=n_seam->chain Phi_E(P_alpha)/2 mod pi",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / normalization closed; context sourcing open",
        "next_gate": "derive Phi_E from packet apparatus/environment interaction"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive Phi_E from packet apparatus/environment interaction",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q84",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q84",
        "symbol": "K_seam->chain(alpha,beta)",
        "exact_form": "cos(Delta Phi_E(alpha,beta))",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / apparatus context phase source remains open",
        "next_gate": "derive E_theta_env / packet context-phase forcing",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "K_seam->chain(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q84",
        "symbol": "K_seam->chain(alpha,beta)",
        "exact_form": "cos(Delta Phi_E(alpha,beta))",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / apparatus context phase source remains open",
        "next_gate": "derive E_theta_env / packet context-phase forcing"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive E_theta_env / packet context-phase forcing",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q85",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q85",
        "symbol": "R_E,alpha",
        "exact_form": "P_perp(rho_E,alpha^post-rho_E^0)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / context record, not new packet dynamics",
        "next_gate": "derive apparatus-specific postinteraction burden state from current packet engine",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "R_E,alpha",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q85",
        "symbol": "R_E,alpha",
        "exact_form": "P_perp(rho_E,alpha^post-rho_E^0)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / context record, not new packet dynamics",
        "next_gate": "derive apparatus-specific postinteraction burden state from current packet engine"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive apparatus-specific postinteraction burden state from current packet engine",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q86",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q86",
        "symbol": "J_E,alpha",
        "exact_form": "-(1/4) D^T R_E,alpha",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / structural current representation",
        "next_gate": "apparatus-specific burden record generation",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "J_E,alpha",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q86",
        "symbol": "J_E,alpha",
        "exact_form": "-(1/4) D^T R_E,alpha",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / structural current representation",
        "next_gate": "apparatus-specific burden record generation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: apparatus-specific burden record generation",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q87",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q87",
        "symbol": "K_B(alpha,beta)",
        "exact_form": "(R_E,beta^T R_E,alpha)/(\\|\\|R_E,beta\\|\\| \\|\\|R_E,alpha\\|\\|)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / requires nonzero records",
        "next_gate": "derive null-record and magnitude-sensitive completion",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "K_B(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q87",
        "symbol": "K_B(alpha,beta)",
        "exact_form": "(R_E,beta^T R_E,alpha)/(\\|\\|R_E,beta\\|\\| \\|\\|R_E,alpha\\|\\|)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / requires nonzero records",
        "next_gate": "derive null-record and magnitude-sensitive completion"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive null-record and magnitude-sensitive completion",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q88",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q88",
        "symbol": "Gamma_B(alpha,beta)",
        "exact_form": "\\|K_B(alpha,beta)\\|",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / spans [0,1] for nonzero record directions",
        "next_gate": "magnitude/null-record completion and apparatus source model",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Gamma_B(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q88",
        "symbol": "Gamma_B(alpha,beta)",
        "exact_form": "\\|K_B(alpha,beta)\\|",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / spans [0,1] for nonzero record directions",
        "next_gate": "magnitude/null-record completion and apparatus source model"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: magnitude/null-record completion and apparatus source model",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q89",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q89",
        "symbol": "Gamma_pair+B",
        "exact_form": "Gamma_pair Gamma_B",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / E_theta_env not required for magnitude channel",
        "next_gate": "derive apparatus-specific burden record; phase-sensitive E_theta_env remains separate",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Gamma_pair+B",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q89",
        "symbol": "Gamma_pair+B",
        "exact_form": "Gamma_pair Gamma_B",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / E_theta_env not required for magnitude channel",
        "next_gate": "derive apparatus-specific burden record; phase-sensitive E_theta_env remains separate"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive apparatus-specific burden record; phase-sensitive E_theta_env remains separate",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q90",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q90",
        "symbol": "Delta q_B(alpha,beta)",
        "exact_form": "ln(\\|\\|R_E,alpha\\|\\|/\\|\\|R_E,beta\\|\\|)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / nonzero records only",
        "next_gate": "smooth null/absolute capacity normalization",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "Delta q_B(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q90",
        "symbol": "Delta q_B(alpha,beta)",
        "exact_form": "ln(\\|\\|R_E,alpha\\|\\|/\\|\\|R_E,beta\\|\\|)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / nonzero records only",
        "next_gate": "smooth null/absolute capacity normalization"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: smooth null/absolute capacity normalization",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q91",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q91",
        "symbol": "M_RB(alpha,beta)",
        "exact_form": "sech(Delta q_B)=2\\|\\|R_a\\|\\|\\|\\|R_b\\|\\|/(\\|\\|R_a\\|\\|^2+\\|\\|R_b\\|\\|^2)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / equals 1 for equal magnitudes and tends to 0 for extreme ratios",
        "next_gate": "smooth null completion",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "M_RB(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q91",
        "symbol": "M_RB(alpha,beta)",
        "exact_form": "sech(Delta q_B)=2\\|\\|R_a\\|\\|\\|\\|R_b\\|\\|/(\\|\\|R_a\\|\\|^2+\\|\\|R_b\\|\\|^2)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / equals 1 for equal magnitudes and tends to 0 for extreme ratios",
        "next_gate": "smooth null completion"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: smooth null completion",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q92",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q92",
        "symbol": "K_RB(alpha,beta)",
        "exact_form": "2 R_a^T R_b/(\\|\\|R_a\\|\\|^2+\\|\\|R_b\\|\\|^2)=M_RB (u_a^T u_b)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / nonzero burden records; common-scale invariant",
        "next_gate": "physical null completion / apparatus burden-record generation",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "K_RB(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q92",
        "symbol": "K_RB(alpha,beta)",
        "exact_form": "2 R_a^T R_b/(\\|\\|R_a\\|\\|^2+\\|\\|R_b\\|\\|^2)=M_RB (u_a^T u_b)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / nonzero burden records; common-scale invariant",
        "next_gate": "physical null completion / apparatus burden-record generation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: physical null completion / apparatus burden-record generation",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q93",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q93",
        "symbol": "Gamma_RB(alpha,beta)",
        "exact_form": "\\|K_RB(alpha,beta)\\|",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / nonzero records; spans [0,1]",
        "next_gate": "smooth null completion and apparatus source model",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Gamma_RB(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q93",
        "symbol": "Gamma_RB(alpha,beta)",
        "exact_form": "\\|K_RB(alpha,beta)\\|",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / nonzero records; spans [0,1]",
        "next_gate": "smooth null completion and apparatus source model"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: smooth null completion and apparatus source model",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q94",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q94",
        "symbol": "Gamma_pair+RB",
        "exact_form": "Gamma_pair sech(Delta q_B)\\|u_a^T u_b\\|",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / nonzero burden records",
        "next_gate": "physical burden-record generation and null completion",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Gamma_pair+RB",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q94",
        "symbol": "Gamma_pair+RB",
        "exact_form": "Gamma_pair sech(Delta q_B)\\|u_a^T u_b\\|",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / nonzero burden records",
        "next_gate": "physical burden-record generation and null completion"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: physical burden-record generation and null completion",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q95",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q95",
        "symbol": "Sigma_B^0",
        "exact_form": "Cov_0[(1/M_B) sum_c r_c] = (1/M_B^2) sum_cd Cov_0(r_c,r_d)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / state- and scale-dependent baseline, not universal coefficient",
        "next_gate": "generate from target-blind packet simulation or apparatus null calibration",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Sigma_B^0",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q95",
        "symbol": "Sigma_B^0",
        "exact_form": "Cov_0[(1/M_B) sum_c r_c] = (1/M_B^2) sum_cd Cov_0(r_c,r_d)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / state- and scale-dependent baseline, not universal coefficient",
        "next_gate": "generate from target-blind packet simulation or apparatus null calibration"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: generate from target-blind packet simulation or apparatus null calibration",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q96",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q96",
        "symbol": "epsilon_B^2",
        "exact_form": "(1/3) Tr Sigma_B^0 when null context is S4-unbiased",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / changes with scale and context state",
        "next_gate": "measure/derive scale flow of Sigma_B^0",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "epsilon_B^2",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q96",
        "symbol": "epsilon_B^2",
        "exact_form": "(1/3) Tr Sigma_B^0 when null context is S4-unbiased",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / changes with scale and context state",
        "next_gate": "measure/derive scale flow of Sigma_B^0"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: measure/derive scale flow of Sigma_B^0",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q97",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q97",
        "symbol": "K_scale,B(alpha,beta)",
        "exact_form": "2[1+R_a^T(Sigma_B^0)^-1R_b]/[2+R_a^T(Sigma_B^0)^-1R_a+R_b^T(Sigma_B^0)^-1R_b]",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / positive null covariance required",
        "next_gate": "empirical/simulation coarse-scale flow test",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "K_scale,B(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q97",
        "symbol": "K_scale,B(alpha,beta)",
        "exact_form": "2[1+R_a^T(Sigma_B^0)^-1R_b]/[2+R_a^T(Sigma_B^0)^-1R_a+R_b^T(Sigma_B^0)^-1R_b]",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / positive null covariance required",
        "next_gate": "empirical/simulation coarse-scale flow test"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: empirical/simulation coarse-scale flow test",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q98",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q98",
        "symbol": "chi_B^2(alpha,beta)",
        "exact_form": "(R_a-R_b)^T(Sigma_B^0)^-1(R_a-R_b)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / chi=1 is an operational resolution crossing, not collapse law",
        "next_gate": "derive/test monotonic scale flow for concrete contexts",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "chi_B^2(alpha,beta)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q98",
        "symbol": "chi_B^2(alpha,beta)",
        "exact_form": "(R_a-R_b)^T(Sigma_B^0)^-1(R_a-R_b)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / chi=1 is an operational resolution crossing, not collapse law",
        "next_gate": "derive/test monotonic scale flow for concrete contexts"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: derive/test monotonic scale flow for concrete contexts",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q99",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q99",
        "symbol": "gamma_null^(bulk)",
        "exact_form": "1/2 in epsilon_M proportional M^(-gamma_null); equivalently epsilon_L proportional L^(-3/2)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / control model only",
        "next_gate": "compare against simulated/measured covariance flow",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "gamma_null^(bulk)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q99",
        "symbol": "gamma_null^(bulk)",
        "exact_form": "1/2 in epsilon_M proportional M^(-gamma_null); equivalently epsilon_L proportional L^(-3/2)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / control model only",
        "next_gate": "compare against simulated/measured covariance flow"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: compare against simulated/measured covariance flow",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q100",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q100",
        "symbol": "gamma_null^(boundary)",
        "exact_form": "2/3 in epsilon_N3 proportional N3^(-2/3); equivalently epsilon_L proportional L^(-2)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / boundary-dominated control only",
        "next_gate": "compare against simulated/measured covariance flow",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "gamma_null^(boundary)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q100",
        "symbol": "gamma_null^(boundary)",
        "exact_form": "2/3 in epsilon_N3 proportional N3^(-2/3); equivalently epsilon_L proportional L^(-2)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / boundary-dominated control only",
        "next_gate": "compare against simulated/measured covariance flow"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: compare against simulated/measured covariance flow",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q101",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q101",
        "symbol": "g_ctx,B",
        "exact_form": "(Sigma_B^0)^-1",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / distinct type from spacetime metric",
        "next_gate": "derive any bridge to geometry only if independently justified",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "g_ctx,B",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q101",
        "symbol": "g_ctx,B",
        "exact_form": "(Sigma_B^0)^-1",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / distinct type from spacetime metric",
        "next_gate": "derive any bridge to geometry only if independently justified"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: derive any bridge to geometry only if independently justified Consult ARA06, ARA07 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA06",
        "ARA07"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q102",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q102",
        "symbol": "C_nu^LCX",
        "exact_form": "q_B L_nabla = q_B B_nabla B_nabla^*",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / q_B state amplitude, covariance shape source-derived",
        "next_gate": "derive/test later-time covariance propagation and primitive source validity",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "C_nu^LCX",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q102",
        "symbol": "C_nu^LCX",
        "exact_form": "q_B L_nabla = q_B B_nabla B_nabla^*",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / q_B state amplitude, covariance shape source-derived",
        "next_gate": "derive/test later-time covariance propagation and primitive source validity"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive/test later-time covariance propagation and primitive source validity",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q103",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q103",
        "symbol": "corr_nn^LCX",
        "exact_form": "-1/4",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / source-tick, after parallel transport",
        "next_gate": "test SA-018 in packet simulations or null apparatus data",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "corr_nn^LCX",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q103",
        "symbol": "corr_nn^LCX",
        "exact_form": "-1/4",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / source-tick, after parallel transport",
        "next_gate": "test SA-018 in packet simulations or null apparatus data"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: test SA-018 in packet simulations or null apparatus data",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q104",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q104",
        "symbol": "Sigma_B^LCX",
        "exact_form": "q_B \\|partial_E B\\|/M_B^2 I3",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / flat common-frame block or covariantly trivialized block",
        "next_gate": "extend to nontrivial connection/holonomy coarse blocks",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Sigma_B^LCX",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q104",
        "symbol": "Sigma_B^LCX",
        "exact_form": "q_B \\|partial_E B\\|/M_B^2 I3",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / flat common-frame block or covariantly trivialized block",
        "next_gate": "extend to nontrivial connection/holonomy coarse blocks"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: extend to nontrivial connection/holonomy coarse blocks",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q105",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q105",
        "symbol": "gamma_null^LCX",
        "exact_form": "2/3 in epsilon_M proportional M^(-2/3)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / promoted from control only under SA-018",
        "next_gate": "test primitive exchange source and connection effects",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "gamma_null^LCX",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q105",
        "symbol": "gamma_null^LCX",
        "exact_form": "2/3 in epsilon_M proportional M^(-2/3)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / promoted from control only under SA-018",
        "next_gate": "test primitive exchange source and connection effects"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: test primitive exchange source and connection effects",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q106",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q106",
        "symbol": "epsilon_L^LCX/epsilon_cell",
        "exact_form": "1/(2sqrt(3)) L^(-2)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / q_B cancels",
        "next_gate": "simulation/empirical scale-flow test under SA-018",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "epsilon_L^LCX/epsilon_cell",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q106",
        "symbol": "epsilon_L^LCX/epsilon_cell",
        "exact_form": "1/(2sqrt(3)) L^(-2)",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / q_B cancels",
        "next_gate": "simulation/empirical scale-flow test under SA-018"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DERIVED — SOURCE PREMISES RETAINED",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: simulation/empirical scale-flow test under SA-018",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q107",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q107",
        "symbol": "f(Delta4)",
        "exact_form": "(5,10,10,5)",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK / mathematical event geometry only",
        "next_gate": "none for combinatorics; physical spacetime mapping remains separate",
        "use_class": "CURRENT_LOCKED_GEOMETRY",
        "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.",
        "display_symbol": "f(Delta4)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q107",
        "symbol": "f(Delta4)",
        "exact_form": "(5,10,10,5)",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK / mathematical event geometry only",
        "next_gate": "none for combinatorics; physical spacetime mapping remains separate"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_MATHEMATICAL_GEOMETRY claim only within its stated source premises. Current reopening/next gate: none for combinatorics; physical spacetime mapping remains separate Exact source status is not a new proof audit or physical identification. Consult ARA06 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA06"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q108",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q108",
        "symbol": "r_5seat^(S5)",
        "exact_form": "beta/alpha = 3/2",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK / not a physical coupling",
        "next_gate": "physical action/dynamics bridge if ever promoted",
        "use_class": "CURRENT_LOCKED_GEOMETRY",
        "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.",
        "display_symbol": "r_5seat^(S5)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q108",
        "symbol": "r_5seat^(S5)",
        "exact_form": "beta/alpha = 3/2",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK / not a physical coupling",
        "next_gate": "physical action/dynamics bridge if ever promoted"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_MATHEMATICAL_GEOMETRY claim only within its stated source premises. Current reopening/next gate: physical action/dynamics bridge if ever promoted Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q109",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q109",
        "symbol": "lambda_L(T5)\\|_W5",
        "exact_form": "8",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / response-edge local-exchange source geometry",
        "next_gate": "derive physical exchange-rate amplitude",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "lambda_L(T5)\\|_W5",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q109",
        "symbol": "lambda_L(T5)\\|_W5",
        "exact_form": "8",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / response-edge local-exchange source geometry",
        "next_gate": "derive physical exchange-rate amplitude"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive physical exchange-rate amplitude",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q110",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q110",
        "symbol": "Mhat_5, Mhat_10",
        "exact_form": "Mhat_5=I5; Mhat_10=I10",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / shape closed, rate open",
        "next_gate": "derive mu_t and fluctuation-dissipation bridge",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Mhat_5, Mhat_10",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q110",
        "symbol": "Mhat_5, Mhat_10",
        "exact_form": "Mhat_5=I5; Mhat_10=I10",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / shape closed, rate open",
        "next_gate": "derive mu_t and fluctuation-dissipation bridge"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive mu_t and fluctuation-dissipation bridge",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q111",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q111",
        "symbol": "corr_edge_nn",
        "exact_form": "-1/6",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / source-law conditional, not empirical",
        "next_gate": "source validation / physical rate bridge",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "corr_edge_nn",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q111",
        "symbol": "corr_edge_nn",
        "exact_form": "-1/6",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / source-law conditional, not empirical",
        "next_gate": "source validation / physical rate bridge"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: source validation / physical rate bridge",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q112",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q112",
        "symbol": "k_event^(S5-neutral)",
        "exact_form": "(6/5) kappa_loop",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / master kappa_loop remains source-open",
        "next_gate": "derive master loop normalization G05",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "k_event^(S5-neutral)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q112",
        "symbol": "k_event^(S5-neutral)",
        "exact_form": "(6/5) kappa_loop",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / master kappa_loop remains source-open",
        "next_gate": "derive master loop normalization G05"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL SCALAR FAMILY — MAINLINE REUSE HELD",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive master loop normalization G05 Consult ARA01 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01"
      ],
      "explicit_references": [
        {
          "ref_id": "G05",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q113",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q113",
        "symbol": "lambda_E",
        "exact_form": "kappa_loop",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / master kappa_loop remains source-open",
        "next_gate": "derive master loop normalization G05",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "lambda_E",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q113",
        "symbol": "lambda_E",
        "exact_form": "kappa_loop",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / master kappa_loop remains source-open",
        "next_gate": "derive master loop normalization G05"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL SCALAR FAMILY — MAINLINE REUSE HELD",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive master loop normalization G05 Consult ARA01 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01"
      ],
      "explicit_references": [
        {
          "ref_id": "G05",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q114",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q114",
        "symbol": "lambda_E/k_event",
        "exact_form": "5/6",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / source-addendum conditional",
        "next_gate": "validate constitutive action; no coefficient fit",
        "use_class": "CURRENT_DERIVED",
        "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.",
        "display_symbol": "lambda_E/k_event",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q114",
        "symbol": "lambda_E/k_event",
        "exact_form": "5/6",
        "claim_bin": "DERIVED_STRUCTURAL",
        "status": "AUTO_LOCK / source-addendum conditional",
        "next_gate": "validate constitutive action; no coefficient fit"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL SCALAR FAMILY — MAINLINE REUSE HELD",
      "reuse_limit": "Retain the original DERIVED_STRUCTURAL claim only within its stated source premises. Current reopening/next gate: validate constitutive action; no coefficient fit Consult ARA01 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q115",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q115",
        "symbol": "spec(K_B/kappa_loop)=spec(K_C/kappa_loop)",
        "exact_form": "{2/3,1,1,5/3,5/3}",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / positive for kappa_loop>0; not empirical spectrum",
        "next_gate": "derive/sign master kappa_loop and validate action source",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "spec(K_B/kappa_loop)=spec(K_C/kappa_loop)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q115",
        "symbol": "spec(K_B/kappa_loop)=spec(K_C/kappa_loop)",
        "exact_form": "{2/3,1,1,5/3,5/3}",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / positive for kappa_loop>0; not empirical spectrum",
        "next_gate": "derive/sign master kappa_loop and validate action source"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL SCALAR FAMILY — MAINLINE REUSE HELD",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive/sign master kappa_loop and validate action source Consult ARA01 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q116",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q116",
        "symbol": "gamma_E^(FDT) [notation repair of prior mu_t]",
        "exact_form": "4 q_E / sigma_E^2",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_REPAIR / supersedes interpreting prior mu_t symbol as dissipative-operator coefficient",
        "next_gate": "derive q_E and sigma_E^2; then divide by event stiffness k to obtain co-adapted dissipative coefficient",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "gamma_E^(FDT) [notation repair of prior mu_t]",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q116",
        "symbol": "gamma_E^(FDT) [notation repair of prior mu_t]",
        "exact_form": "4 q_E / sigma_E^2",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_REPAIR / supersedes interpreting prior mu_t symbol as dissipative-operator coefficient",
        "next_gate": "derive q_E and sigma_E^2; then divide by event stiffness k to obtain co-adapted dissipative coefficient"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive q_E and sigma_E^2; then divide by event stiffness k to obtain co-adapted dissipative coefficient",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q117",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q117",
        "symbol": "sigma_E^2",
        "exact_form": "1/10",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / normalized mathematical null ensemble",
        "next_gate": "physical source/measurement bridge if desired",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "sigma_E^2",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q117",
        "symbol": "sigma_E^2",
        "exact_form": "1/10",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / normalized mathematical null ensemble",
        "next_gate": "physical source/measurement bridge if desired"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: physical source/measurement bridge if desired",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q118",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q118",
        "symbol": "q_E",
        "exact_form": "1/30 per unit normalized response-jump parameter",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / dimensionless jump-count normalization",
        "next_gate": "physical clock bridge",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "q_E",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q118",
        "symbol": "q_E",
        "exact_form": "1/30 per unit normalized response-jump parameter",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / dimensionless jump-count normalization",
        "next_gate": "physical clock bridge"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: physical clock bridge",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q119",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q119",
        "symbol": "gamma_E",
        "exact_form": "4/3",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / per unit normalized Poisson jump-count parameter",
        "next_gate": "map event parameter to physical time",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "gamma_E",
        "reconciliation_notes": "COLLISION-02: same rational value, different types"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q119",
        "symbol": "gamma_E",
        "exact_form": "4/3",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / per unit normalized Poisson jump-count parameter",
        "next_gate": "map event parameter to physical time"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: map event parameter to physical time",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q120",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q120",
        "symbol": "mu_Y^(overdamped response)",
        "exact_form": "gamma_E/k_Y; 32/99 only if k_Y=33/8",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_REPAIR / full 10D cotangent damping remains separate",
        "next_gate": "derive full phase-space stochastic/dissipative bridge",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "mu_Y^(overdamped response)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q120",
        "symbol": "mu_Y^(overdamped response)",
        "exact_form": "gamma_E/k_Y; 32/99 only if k_Y=33/8",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_REPAIR / full 10D cotangent damping remains separate",
        "next_gate": "derive full phase-space stochastic/dissipative bridge"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive full phase-space stochastic/dissipative bridge",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q121",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q121",
        "symbol": "X_evt,3 ≃_sympl X_qm",
        "exact_form": "(W3_Q⊕W3_P) symplectically S4-equivalent to (V3_q⊕V3_m)",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK / dynamical identity separate",
        "next_gate": "SA-023 Hamiltonian identity",
        "use_class": "CURRENT_LOCKED_GEOMETRY",
        "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.",
        "display_symbol": "X_evt,3 ≃_sympl X_qm",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q121",
        "symbol": "X_evt,3 ≃_sympl X_qm",
        "exact_form": "(W3_Q⊕W3_P) symplectically S4-equivalent to (V3_q⊕V3_m)",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK / dynamical identity separate",
        "next_gate": "SA-023 Hamiltonian identity"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_MATHEMATICAL_GEOMETRY claim only within its stated source premises. Current reopening/next gate: SA-023 Hamiltonian identity Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q122",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q122",
        "symbol": "c_bridge^2",
        "exact_form": "c^2=5/(4 kappa_loop)=4 b_E/11; reduces to 4/11 only if b_E=1 and kappa_loop=55/16",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_REPAIR CONDITIONAL / cotangent kinetic normalization explicit",
        "next_gate": "derive b_E or a canonical action-unit normalization",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "c_bridge^2",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q122",
        "symbol": "c_bridge^2",
        "exact_form": "c^2=5/(4 kappa_loop)=4 b_E/11; reduces to 4/11 only if b_E=1 and kappa_loop=55/16",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_REPAIR CONDITIONAL / cotangent kinetic normalization explicit",
        "next_gate": "derive b_E or a canonical action-unit normalization"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive b_E or a canonical action-unit normalization",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q123",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q123",
        "symbol": "kappa_loop^(SA023)",
        "exact_form": "kappa_loop b_E=55/16; equivalently kappa_loop=55/(16 b_E)",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "HISTORICAL CONDITIONAL NORMALIZATION BRANCH / b_E=1 required",
        "next_gate": "do not promote; compare with self-dual SA-024 branch",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "kappa_loop^(SA023)",
        "reconciliation_notes": "quarantined; blocked from settled mainline use"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q123",
        "symbol": "kappa_loop^(SA023)",
        "exact_form": "kappa_loop b_E=55/16; equivalently kappa_loop=55/(16 b_E)",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "HISTORICAL CONDITIONAL NORMALIZATION BRANCH / b_E=1 required",
        "next_gate": "do not promote; compare with self-dual SA-024 branch"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL SCALAR FAMILY — MAINLINE REUSE HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: do not promote; compare with self-dual SA-024 branch Consult ARA01 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q124",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q124",
        "symbol": "s_rec^(evt,3)",
        "exact_form": "4 pi sqrt(2/33)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / internal parameter only",
        "next_gate": "physical clock bridge; do not identify with N4",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "s_rec^(evt,3)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q124",
        "symbol": "s_rec^(evt,3)",
        "exact_form": "4 pi sqrt(2/33)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / internal parameter only",
        "next_gate": "physical clock bridge; do not identify with N4"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: physical clock bridge; do not identify with N4",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q125",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q125",
        "symbol": "tau_E",
        "exact_form": "3/4",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK / not physical seconds",
        "next_gate": "physical clock bridge",
        "use_class": "CURRENT_LOCKED_GEOMETRY",
        "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.",
        "display_symbol": "tau_E",
        "reconciliation_notes": "COLLISION-03: repeated 3/4 value on different carriers"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q125",
        "symbol": "tau_E",
        "exact_form": "3/4",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK / not physical seconds",
        "next_gate": "physical clock bridge"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_MATHEMATICAL_GEOMETRY claim only within its stated source premises. Current reopening/next gate: physical clock bridge Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q126",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q126",
        "symbol": "C3_tet-center = tau_E",
        "exact_form": "3/4 = (4/3)^(-1)",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK",
        "next_gate": "none for mathematics",
        "use_class": "CURRENT_LOCKED_GEOMETRY",
        "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.",
        "display_symbol": "C3_tet-center = tau_E",
        "reconciliation_notes": "COLLISION-03: repeated 3/4 value on different carriers"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q126",
        "symbol": "C3_tet-center = tau_E",
        "exact_form": "3/4 = (4/3)^(-1)",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK",
        "next_gate": "none for mathematics"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_MATHEMATICAL_GEOMETRY claim only within its stated source premises. Current reopening/next gate: none for mathematics Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q127",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q127",
        "symbol": "E_3,resp->att",
        "exact_form": "T_hat^(-1) o (F\\|_3)^(-1); \\|\\|E(Y)\\|\\|^2=(3/4)\\|\\|Y\\|\\|^2",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK / source-to-retained amplitude identity still open",
        "next_gate": "event amplitude/Hamiltonian identity",
        "use_class": "CURRENT_LOCKED_GEOMETRY",
        "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.",
        "display_symbol": "E_3,resp->att",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q127",
        "symbol": "E_3,resp->att",
        "exact_form": "T_hat^(-1) o (F\\|_3)^(-1); \\|\\|E(Y)\\|\\|^2=(3/4)\\|\\|Y\\|\\|^2",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK / source-to-retained amplitude identity still open",
        "next_gate": "event amplitude/Hamiltonian identity"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_MATHEMATICAL_GEOMETRY claim only within its stated source premises. Current reopening/next gate: event amplitude/Hamiltonian identity Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q128",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q128",
        "symbol": "mu_Y^(-1)/k_Y",
        "exact_form": "3/4",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / overdamped response scope only",
        "next_gate": "do not reuse for full cotangent damping without bridge",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "mu_Y^(-1)/k_Y",
        "reconciliation_notes": "COLLISION-03: repeated 3/4 value on different carriers"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q128",
        "symbol": "mu_Y^(-1)/k_Y",
        "exact_form": "3/4",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / overdamped response scope only",
        "next_gate": "do not reuse for full cotangent damping without bridge"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: do not reuse for full cotangent damping without bridge",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q129",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q129",
        "symbol": "kappa_loop b_E",
        "exact_form": "55/16 under SA-021 + SA-023 Hamiltonian matching",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / b_E open; G05 not closed",
        "next_gate": "derive b_E",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "kappa_loop b_E",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q129",
        "symbol": "kappa_loop b_E",
        "exact_form": "55/16 under SA-021 + SA-023 Hamiltonian matching",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / b_E open; G05 not closed",
        "next_gate": "derive b_E"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL SCALAR FAMILY — MAINLINE REUSE HELD",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive b_E Consult ARA01 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01"
      ],
      "explicit_references": [
        {
          "ref_id": "G05",
          "field": "status",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q130",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q130",
        "symbol": "b_E/a_E",
        "exact_form": "1",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / common frequency remains open",
        "next_gate": "SA-025 reversible frequency inheritance",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "b_E/a_E",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q130",
        "symbol": "b_E/a_E",
        "exact_form": "1",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / common frequency remains open",
        "next_gate": "SA-025 reversible frequency inheritance"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: SA-025 reversible frequency inheritance",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q131",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q131",
        "symbol": "Q_10^(null)",
        "exact_form": "(4/15) I10",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / second-moment bridge only",
        "next_gate": "physical stochastic model validation",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "Q_10^(null)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q131",
        "symbol": "Q_10^(null)",
        "exact_form": "(4/15) I10",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / second-moment bridge only",
        "next_gate": "physical stochastic model validation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: physical stochastic model validation",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q132",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q132",
        "symbol": "c_Kahler^2, omega_star",
        "exact_form": "c^2=sqrt(6/11); omega_star=sqrt(33/8)=sqrt(66)/4",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "none for internal mathematics; physical clock bridge separate",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "c_Kahler^2, omega_star",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q132",
        "symbol": "c_Kahler^2, omega_star",
        "exact_form": "c^2=sqrt(6/11); omega_star=sqrt(33/8)=sqrt(66)/4",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "none for internal mathematics; physical clock bridge separate"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none for internal mathematics; physical clock bridge separate Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q133",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q133",
        "symbol": "kappa_loop^(selfdual candidate)",
        "exact_form": "5sqrt(66)/24",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "REPLAYABLE CONDITIONAL ONLY / SA-025 RETIRED",
        "next_gate": "requires future independent generator-pushforward theorem; not active",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "kappa_loop^(selfdual candidate)",
        "reconciliation_notes": "quarantined; blocked from settled mainline use"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q133",
        "symbol": "kappa_loop^(selfdual candidate)",
        "exact_form": "5sqrt(66)/24",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "REPLAYABLE CONDITIONAL ONLY / SA-025 RETIRED",
        "next_gate": "requires future independent generator-pushforward theorem; not active"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL SCALAR FAMILY — MAINLINE REUSE HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: requires future independent generator-pushforward theorem; not active Consult ARA01 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q134",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q134",
        "symbol": "mu_K^(selfdual phase space)",
        "exact_form": "8sqrt(66)/99",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / not physical inverse time",
        "next_gate": "SA-025 admission and physical clock bridge",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "mu_K^(selfdual phase space)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q134",
        "symbol": "mu_K^(selfdual phase space)",
        "exact_form": "8sqrt(66)/99",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / not physical inverse time",
        "next_gate": "SA-025 admission and physical clock bridge"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL SCALAR FAMILY — MAINLINE REUSE HELD",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: SA-025 admission and physical clock bridge Consult ARA01 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q135",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q135",
        "symbol": "C_10(s)",
        "exact_form": "(1/10)e^(-4s/3)e^(omega_E J10 s)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / second-moment equivalence only",
        "next_gate": "pathwise stochastic model remains separate",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "C_10(s)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q135",
        "symbol": "C_10(s)",
        "exact_form": "(1/10)e^(-4s/3)e^(omega_E J10 s)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / second-moment equivalence only",
        "next_gate": "pathwise stochastic model remains separate"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: pathwise stochastic model remains separate",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q136",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q136",
        "symbol": "Delta L_hist",
        "exact_form": "sum_k (sigma_O,k + sigma_B,k + sigma_C,k)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK HISTORY SCALAR / SUFFICIENCY FOR CANONICAL ACTION OPEN",
        "next_gate": "test whether Delta L_hist can be refined/proved sufficient for typed lifted history {a_omega, Delta phi_tilde_omega} on a declared restricted domain",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "Delta L_hist",
        "reconciliation_notes": "v0.40: O09 specifies the exact information a lossless compressed history statistic must preserve."
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q136",
        "symbol": "Delta L_hist",
        "exact_form": "sum_k (sigma_O,k + sigma_B,k + sigma_C,k)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "packet-master action identity"
      },
      "version_relation": "VERSIONED_FIELDS_CHANGED",
      "changed_fields": [
        "status",
        "next_gate"
      ],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: test whether Delta L_hist can be refined/proved sufficient for typed lifted history {a_omega, Delta phi_tilde_omega} on a declared restricted domain Exact source status is not a new proof audit or physical identification. Consult ARA01 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01"
      ],
      "explicit_references": [
        {
          "ref_id": "O09",
          "field": "reconciliation_notes",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q137",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q137",
        "symbol": "g_loop^normalized",
        "exact_form": "1 conditional on SA-026 and sigma_C=normalized loop obstruction",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "EXACT CONDITIONAL / NORMALIZED PATH COORDINATE ONLY / NOT UNIVERSAL ACTION",
        "next_gate": "scalar action conversion allowed only on a restricted domain after proving proportionality to O09; micro-to-sigma source map remains separately open",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "g_loop^normalized",
        "reconciliation_notes": "v0.40: g_loop=1 cannot determine universal G05 or G06."
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q137",
        "symbol": "g_loop^normalized",
        "exact_form": "1 conditional on SA-026 and sigma_C=normalized loop obstruction",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "EXACT CONDITIONAL / NORMALIZED PATH COORDINATE ONLY; MICRO-TO-SIGMA MAP OPEN",
        "next_gate": "derive precursor->breathing->sigma map"
      },
      "version_relation": "VERSIONED_FIELDS_CHANGED",
      "changed_fields": [
        "status",
        "next_gate"
      ],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: scalar action conversion allowed only on a restricted domain after proving proportionality to O09; micro-to-sigma source map remains separately open Consult ARA01 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01"
      ],
      "explicit_references": [
        {
          "ref_id": "O09",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        },
        {
          "ref_id": "G05",
          "field": "reconciliation_notes",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        },
        {
          "ref_id": "G06",
          "field": "reconciliation_notes",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q138",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q138",
        "symbol": "kappa_raw^(R)",
        "exact_form": "1/d_R conditional on SA-026 normalized loop action",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / not universal physical coupling",
        "next_gate": "none as bookkeeping; master action identity remains open",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "kappa_raw^(R)",
        "reconciliation_notes": "ALIAS-01: same-symbol/same-form provenance duplicate"
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q138",
        "symbol": "kappa_raw^(R)",
        "exact_form": "1/d_R conditional on SA-026 normalized loop action",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / not universal physical coupling",
        "next_gate": "none as bookkeeping; master action identity remains open"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL SCALAR FAMILY — MAINLINE REUSE HELD",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: none as bookkeeping; master action identity remains open Consult ARA01 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q139",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q139",
        "symbol": "omega_E",
        "exact_form": "NONIDENTIFIABLE from current geometry/second moments",
        "claim_bin": "OPEN_GAP",
        "status": "SCOPED NO-GO REFINED / INTERNAL GENERATOR-ACTION FORM RESOLVED; DIMENSIONAL ACTION SCALE STILL NONIDENTIFIABLE",
        "next_gate": "derive the dimensional native action anchor; do not reactivate retired self-dual numerical routes",
        "use_class": "OPEN_GAP",
        "claim_bin_meaning": "Current derivation/source is missing or nonidentifiable.",
        "display_symbol": "omega_E",
        "reconciliation_notes": "v0.40: internal generator/action-form obstruction narrowed; dimensional unit-scale nonidentifiability remains."
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q139",
        "symbol": "omega_E",
        "exact_form": "NONIDENTIFIABLE from current geometry/second moments",
        "claim_bin": "OPEN_GAP",
        "status": "AUTO_LOCK NO-GO / SA-025 retired",
        "next_gate": "derive independent generator pushforward or other action-unit bridge"
      },
      "version_relation": "VERSIONED_FIELDS_CHANGED",
      "changed_fields": [
        "status",
        "next_gate"
      ],
      "current_disposition": "OPEN — SOURCE DEPENDENCY",
      "reuse_limit": "Retain the original OPEN_GAP claim only within its stated source premises. Current reopening/next gate: derive the dimensional native action anchor; do not reactivate retired self-dual numerical routes Consult ARA01, ARA06, ARA07 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA01",
        "ARA06",
        "ARA07"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q140",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q140",
        "symbol": "delta_U(U)",
        "exact_form": "1-ReTr(U)/d = \\|\\|I-U\\|\\|_F^2/(2d)",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK",
        "next_gate": "coarse-grain into breathing/obstruction variables",
        "use_class": "CURRENT_LOCKED_GEOMETRY",
        "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.",
        "display_symbol": "delta_U(U)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q140",
        "symbol": "delta_U(U)",
        "exact_form": "1-ReTr(U)/d = \\|\\|I-U\\|\\|_F^2/(2d)",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK",
        "next_gate": "coarse-grain into breathing/obstruction variables"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_MATHEMATICAL_GEOMETRY claim only within its stated source premises. Current reopening/next gate: coarse-grain into breathing/obstruction variables Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q141",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q141",
        "symbol": "delta_B(R)",
        "exact_form": "ln(1 + (1/2) R^T (Sigma_B^0)^(-1) R)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / null covariance state statistic required",
        "next_gate": "coarse-grain into sigma_B or other obstruction only through breathing map",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "delta_B(R)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q141",
        "symbol": "delta_B(R)",
        "exact_form": "ln(1 + (1/2) R^T (Sigma_B^0)^(-1) R)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / null covariance state statistic required",
        "next_gate": "coarse-grain into sigma_B or other obstruction only through breathing map"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: coarse-grain into sigma_B or other obstruction only through breathing map",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q142",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q142",
        "symbol": "A_K^(BC)",
        "exact_form": "1/3",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / orientation-even diagnostic",
        "next_gate": "do not identify directly with sigma_C",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "A_K^(BC)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q142",
        "symbol": "A_K^(BC)",
        "exact_form": "1/3",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / orientation-even diagnostic",
        "next_gate": "do not identify directly with sigma_C"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: do not identify directly with sigma_C",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q143",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q143",
        "symbol": "K_facecomp != sigma_C",
        "exact_form": "operator/scalar and micro/coarse type no-go; B,C isospectral while K_C-K_B=2 kappa_loop T5(t) is nonzero trace-free",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK",
        "next_gate": "derive micro precursor -> breathing response -> sigma_C",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "K_facecomp != sigma_C",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q143",
        "symbol": "K_facecomp != sigma_C",
        "exact_form": "operator/scalar and micro/coarse type no-go; B,C isospectral while K_C-K_B=2 kappa_loop T5(t) is nonzero trace-free",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK",
        "next_gate": "derive micro precursor -> breathing response -> sigma_C"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: derive micro precursor -> breathing response -> sigma_C",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q144",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q144",
        "symbol": "Xi_micro",
        "exact_form": "(delta_U, delta_B, normalized response operator/aniso, ...)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / coarse obstruction map remains open",
        "next_gate": "derive B:Xi_micro->Y_breathing and F:Y_breathing->Sigma",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "Xi_micro",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q144",
        "symbol": "Xi_micro",
        "exact_form": "(delta_U, delta_B, normalized response operator/aniso, ...)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / coarse obstruction map remains open",
        "next_gate": "derive B:Xi_micro->Y_breathing and F:Y_breathing->Sigma"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: derive B:Xi_micro->Y_breathing and F:Y_breathing->Sigma Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q145",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q145",
        "symbol": "Xi_defect -> Y_breathing no-go",
        "exact_form": "no unique map from normalized defect/shape precursors to full (S,B,P,K,g,V,R,Lambda)",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK",
        "next_gate": "derive positive flow/source receipts",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "Xi_defect -> Y_breathing no-go",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q145",
        "symbol": "Xi_defect -> Y_breathing no-go",
        "exact_form": "no unique map from normalized defect/shape precursors to full (S,B,P,K,g,V,R,Lambda)",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK",
        "next_gate": "derive positive flow/source receipts"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: derive positive flow/source receipts",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q146",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q146",
        "symbol": "B_mu",
        "exact_form": "delta_B = ln(1 + (1/2)R^T(Sigma_B^0)^(-1)R)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / not aggregate breathing burden stock",
        "next_gate": "derive burden stock/flow aggregation",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "B_mu",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q146",
        "symbol": "B_mu",
        "exact_form": "delta_B = ln(1 + (1/2)R^T(Sigma_B^0)^(-1)R)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / not aggregate breathing burden stock",
        "next_gate": "derive burden stock/flow aggregation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive burden stock/flow aggregation",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q147",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q147",
        "symbol": "K_mu",
        "exact_form": "Gamma=\\|K_{alpha beta}\\|",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / layer-level K_n identification open",
        "next_gate": "derive breathing-layer coherence aggregation",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "K_mu",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q147",
        "symbol": "K_mu",
        "exact_form": "Gamma=\\|K_{alpha beta}\\|",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / layer-level K_n identification open",
        "next_gate": "derive breathing-layer coherence aggregation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: derive breathing-layer coherence aggregation Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q148",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q148",
        "symbol": "P_mu^tr",
        "exact_form": "delta_U = 1-ReTr(U)/d",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / not pressure stock",
        "next_gate": "derive flux imbalance / pressure law",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "P_mu^tr",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q148",
        "symbol": "P_mu^tr",
        "exact_form": "delta_U = 1-ReTr(U)/d",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / not pressure stock",
        "next_gate": "derive flux imbalance / pressure law"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: derive flux imbalance / pressure law Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q149",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q149",
        "symbol": "V_mu^E",
        "exact_form": "5/6",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / event-scale precursor only",
        "next_gate": "derive general breathing V_n from packet redistribution flows",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "V_mu^E",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q149",
        "symbol": "V_mu^E",
        "exact_form": "5/6",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / event-scale precursor only",
        "next_gate": "derive general breathing V_n from packet redistribution flows"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive general breathing V_n from packet redistribution flows",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q150",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q150",
        "symbol": "C_O,C_B,C_C monotonicity cones",
        "exact_form": "z_O=(B,P,-g,-R); z_B=(B,-V,M,I_inh); z_C=(-K,-R,Lambda,\\|gdot\\|)",
        "claim_bin": "LOCKED_SOURCE_STRUCTURE",
        "status": "AUTO_LOCK",
        "next_gate": "derive numerical F_O,F_B,F_C only after breathing flow laws",
        "use_class": "LOCKED_SOURCE_STRUCTURE",
        "claim_bin_meaning": "Source/flow structure is locked while constitutive numerical laws may remain open.",
        "display_symbol": "C_O,C_B,C_C monotonicity cones",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q150",
        "symbol": "C_O,C_B,C_C monotonicity cones",
        "exact_form": "z_O=(B,P,-g,-R); z_B=(B,-V,M,I_inh); z_C=(-K,-R,Lambda,\\|gdot\\|)",
        "claim_bin": "LOCKED_SOURCE_STRUCTURE",
        "status": "AUTO_LOCK",
        "next_gate": "derive numerical F_O,F_B,F_C only after breathing flow laws"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SOURCE STRUCTURE — CONSTITUTIVE LAW OPEN",
      "reuse_limit": "Retain the original LOCKED_SOURCE_STRUCTURE claim only within its stated source premises. Current reopening/next gate: derive numerical F_O,F_B,F_C only after breathing flow laws",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q151",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q151",
        "symbol": "block continuity",
        "exact_form": "dX_S/dt = J_boundary + S_local",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "source actual support/burden fluxes and source/sink terms",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "block continuity",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q151",
        "symbol": "block continuity",
        "exact_form": "dX_S/dt = J_boundary + S_local",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "source actual support/burden fluxes and source/sink terms"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: source actual support/burden fluxes and source/sink terms Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q152",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q152",
        "symbol": "F_O,F_B,F_C nonidentifiability",
        "exact_form": "dependency signs + F(0)=0 admit infinitely many monotone functions",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK",
        "next_gate": "derive flow/balance dynamics or independent target-blind calibration",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "F_O,F_B,F_C nonidentifiability",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q152",
        "symbol": "F_O,F_B,F_C nonidentifiability",
        "exact_form": "dependency signs + F(0)=0 admit infinitely many monotone functions",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK",
        "next_gate": "derive flow/balance dynamics or independent target-blind calibration"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: derive flow/balance dynamics or independent target-blind calibration",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q153",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q153",
        "symbol": "Delta rho = B j_B + s_B",
        "exact_form": "Delta rho = incidence(edge burden flux) + local nonconservative source/sink",
        "claim_bin": "LOCKED_SOURCE_STRUCTURE",
        "status": "AUTO_LOCK / constitutive j_B and s_B laws open",
        "next_gate": "derive predictive edge-flux and source/sink constitutive laws",
        "use_class": "LOCKED_SOURCE_STRUCTURE",
        "claim_bin_meaning": "Source/flow structure is locked while constitutive numerical laws may remain open.",
        "display_symbol": "Delta rho = B j_B + s_B",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q153",
        "symbol": "Delta rho = B j_B + s_B",
        "exact_form": "Delta rho = incidence(edge burden flux) + local nonconservative source/sink",
        "claim_bin": "LOCKED_SOURCE_STRUCTURE",
        "status": "AUTO_LOCK / constitutive j_B and s_B laws open",
        "next_gate": "derive predictive edge-flux and source/sink constitutive laws"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SOURCE STRUCTURE — CONSTITUTIVE LAW OPEN",
      "reuse_limit": "Retain the original LOCKED_SOURCE_STRUCTURE claim only within its stated source premises. Current reopening/next gate: derive predictive edge-flux and source/sink constitutive laws Consult ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q154",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q154",
        "symbol": "Delta B_S",
        "exact_form": "J_B,in - J_B,out + J_B,src+ - J_B,sink",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "tag positive source/sink subtypes",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "Delta B_S",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q154",
        "symbol": "Delta B_S",
        "exact_form": "J_B,in - J_B,out + J_B,src+ - J_B,sink",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "tag positive source/sink subtypes"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: tag positive source/sink subtypes Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q155",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q155",
        "symbol": "R_redist, J_redist^gross",
        "exact_form": "R_redist=B_int j_int, 1^T R_redist=0; J_redist^gross=sum_eint \\|j_e\\|",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "derive constitutive internal flux law",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "R_redist, J_redist^gross",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q155",
        "symbol": "R_redist, J_redist^gross",
        "exact_form": "R_redist=B_int j_int, 1^T R_redist=0; J_redist^gross=sum_eint \\|j_e\\|",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "derive constitutive internal flux law"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: derive constitutive internal flux law Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q156",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q156",
        "symbol": "g_boundary^hard",
        "exact_form": "(1/\\|partial_E S\\|) sum_{e in boundary} h_e, h_e=C_cl^hard T_int^hard",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / smooth conductance open",
        "next_gate": "source soft margins or conductance amplitude",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "g_boundary^hard",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q156",
        "symbol": "g_boundary^hard",
        "exact_form": "(1/\\|partial_E S\\|) sum_{e in boundary} h_e, h_e=C_cl^hard T_int^hard",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / smooth conductance open",
        "next_gate": "source soft margins or conductance amplitude"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: source soft margins or conductance amplitude Exact source status is not a new proof audit or physical identification. Consult ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q157",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q157",
        "symbol": "J_S^in factorization",
        "exact_form": "micro cell-core support ingress now exact from J23; recursive/coarse support ingress remains open-system bridge",
        "claim_bin": "OPEN_GAP",
        "status": "PASS at micro cell-core level / recursive S_n bridge open",
        "next_gate": "open-system support source/sink and coarse breathing semantics",
        "use_class": "OPEN_GAP",
        "claim_bin_meaning": "Current derivation/source is missing or nonidentifiable.",
        "display_symbol": "J_S^in factorization",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q157",
        "symbol": "J_S^in factorization",
        "exact_form": "micro cell-core support ingress now exact from J23; recursive/coarse support ingress remains open-system bridge",
        "claim_bin": "OPEN_GAP",
        "status": "PASS at micro cell-core level / recursive S_n bridge open",
        "next_gate": "open-system support source/sink and coarse breathing semantics"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "OPEN — SOURCE DEPENDENCY",
      "reuse_limit": "Retain the original OPEN_GAP claim only within its stated source premises. Current reopening/next gate: open-system support source/sink and coarse breathing semantics Consult ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q158",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q158",
        "symbol": "s_B residual receipt",
        "exact_form": "s_B = Delta rho - B j_B",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / predictive law open",
        "next_gate": "derive predictive tagged source law",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "s_B residual receipt",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q158",
        "symbol": "s_B residual receipt",
        "exact_form": "s_B = Delta rho - B j_B",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / predictive law open",
        "next_gate": "derive predictive tagged source law"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: derive predictive tagged source law Exact source status is not a new proof audit or physical identification. Consult ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q159",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q159",
        "symbol": "B_S^pkt",
        "exact_form": "sum_{i in S} rho_i",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / recursive breathing B_n identification remains bridge-level",
        "next_gate": "derive layer/block identification to breathing B_n",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "B_S^pkt",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q159",
        "symbol": "B_S^pkt",
        "exact_form": "sum_{i in S} rho_i",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / recursive breathing B_n identification remains bridge-level",
        "next_gate": "derive layer/block identification to breathing B_n"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: derive layer/block identification to breathing B_n Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q160",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q160",
        "symbol": "breathing flow receipt closure status",
        "exact_form": "J_B,in PASS; J_B,src+ PARTIAL subtype; J_redist PASS; aggregate out/sink PASS; G_gate hard PASS; J_S,in PARTIAL",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK",
        "next_gate": "derive support carrier, source tags, and predictive constitutive fluxes",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "breathing flow receipt closure status",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q160",
        "symbol": "breathing flow receipt closure status",
        "exact_form": "J_B,in PASS; J_B,src+ PARTIAL subtype; J_redist PASS; aggregate out/sink PASS; G_gate hard PASS; J_S,in PARTIAL",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK",
        "next_gate": "derive support carrier, source tags, and predictive constitutive fluxes"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: derive support carrier, source tags, and predictive constitutive fluxes Consult ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q161",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q161",
        "symbol": "w_face-slot^B",
        "exact_form": "1/4",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / dimensionless attempt clock only",
        "next_gate": "physical time map if ever needed",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "w_face-slot^B",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q161",
        "symbol": "w_face-slot^B",
        "exact_form": "1/4",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / dimensionless attempt clock only",
        "next_gate": "physical time map if ever needed"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: physical time map if ever needed Consult ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q162",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q162",
        "symbol": "j_B,e^mix",
        "exact_form": "-(1/4) h_e (B^T b)_e",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / relaxational burden lane only",
        "next_gate": "protected-mode projection and physical clock",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "j_B,e^mix",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q162",
        "symbol": "j_B,e^mix",
        "exact_form": "-(1/4) h_e (B^T b)_e",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / relaxational burden lane only",
        "next_gate": "protected-mode projection and physical clock"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: protected-mode projection and physical clock Consult ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q163",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q163",
        "symbol": "K4 burden mixing",
        "exact_form": "j=(1/3)D^T rho_perp; dot rho_perp=-(4/3)rho_perp",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / not physical damping rate",
        "next_gate": "scope against protected reversible burden modes",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "K4 burden mixing",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q163",
        "symbol": "K4 burden mixing",
        "exact_form": "j=(1/3)D^T rho_perp; dot rho_perp=-(4/3)rho_perp",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / not physical damping rate",
        "next_gate": "scope against protected reversible burden modes"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: scope against protected reversible burden modes Consult ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q164",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q164",
        "symbol": "xi_e^mix",
        "exact_form": "(1/4)h_e(S_ce^-1 b_c - S_de^-1 b_d)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK",
        "next_gate": "joint deterministic/stochastic model if both lanes are retained",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "xi_e^mix",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q164",
        "symbol": "xi_e^mix",
        "exact_form": "(1/4)h_e(S_ce^-1 b_c - S_de^-1 b_d)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK",
        "next_gate": "joint deterministic/stochastic model if both lanes are retained"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: joint deterministic/stochastic model if both lanes are retained",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q165",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q165",
        "symbol": "S_mu^rev",
        "exact_form": "\\|\\|c0\\|\\|^2+\\|\\|c1\\|\\|^2+\\|\\|c2\\|\\|^2+\\|\\|c3\\|\\|^2",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / admitted micro support carrier",
        "next_gate": "global gluing/coarse recursive support bridge",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "S_mu^rev",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q165",
        "symbol": "S_mu^rev",
        "exact_form": "\\|\\|c0\\|\\|^2+\\|\\|c1\\|\\|^2+\\|\\|c2\\|\\|^2+\\|\\|c3\\|\\|^2",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / admitted micro support carrier",
        "next_gate": "global gluing/coarse recursive support bridge"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: global gluing/coarse recursive support bridge Exact source status is not a new proof audit or physical identification. Consult ARA03, ARA06, ARA07 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA03",
        "ARA06",
        "ARA07"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q166",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q166",
        "symbol": "J_support^(01,12,23)",
        "exact_form": "2 B_k component_product between adjacent chain degrees",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "shared-face multi-cell gluing",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "J_support^(01,12,23)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q166",
        "symbol": "J_support^(01,12,23)",
        "exact_form": "2 B_k component_product between adjacent chain degrees",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "shared-face multi-cell gluing"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: shared-face multi-cell gluing Exact source status is not a new proof audit or physical identification. Consult ARA03 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA03"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q167",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q167",
        "symbol": "S_mu,H ; J_ie^S",
        "exact_form": "S_mu,H=\\|\\|x\\|\\|^2+\\|\\|H y\\|\\|^2; J_ie^S=2h_e D_ie x_i y_e",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / 64 binary masks verified",
        "next_gate": "gate-transition receipts and global support gluing",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "S_mu,H ; J_ie^S",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q167",
        "symbol": "S_mu,H ; J_ie^S",
        "exact_form": "S_mu,H=\\|\\|x\\|\\|^2+\\|\\|H y\\|\\|^2; J_ie^S=2h_e D_ie x_i y_e",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / 64 binary masks verified",
        "next_gate": "gate-transition receipts and global support gluing"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: gate-transition receipts and global support gluing Exact source status is not a new proof audit or physical identification. Consult ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q168",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q168",
        "symbol": "predictive burden/support closure status",
        "exact_form": "burden mixing PARTIAL/PREDICTIVE normalized; micro support PASS; coarse support OPEN",
        "claim_bin": "LOCKED_STATUS",
        "status": "UPDATED: normalized burden mixing + global micro support gluing/ownership closed; open-system recursive support remains",
        "next_gate": "glued multi-tetrahedron support continuity and coarse breathing stock bridge",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "predictive burden/support closure status",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q168",
        "symbol": "predictive burden/support closure status",
        "exact_form": "burden mixing PARTIAL/PREDICTIVE normalized; micro support PASS; coarse support OPEN",
        "claim_bin": "LOCKED_STATUS",
        "status": "UPDATED: normalized burden mixing + global micro support gluing/ownership closed; open-system recursive support remains",
        "next_gate": "glued multi-tetrahedron support continuity and coarse breathing stock bridge"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: glued multi-tetrahedron support continuity and coarse breathing stock bridge Consult ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q169",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q169",
        "symbol": "A_K^global",
        "exact_form": "global skew Hodge-Dirac on unique C0⊕C1⊕C2⊕C3 simplices",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK",
        "next_gate": "open-system support terms",
        "use_class": "CURRENT_LOCKED_GEOMETRY",
        "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.",
        "display_symbol": "A_K^global",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q169",
        "symbol": "A_K^global",
        "exact_form": "global skew Hodge-Dirac on unique C0⊕C1⊕C2⊕C3 simplices",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK",
        "next_gate": "open-system support terms"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_MATHEMATICAL_GEOMETRY claim only within its stated source premises. Current reopening/next gate: open-system support terms Exact source status is not a new proof audit or physical identification. Consult ARA05, ARA06, ARA07 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05",
        "ARA06",
        "ARA07"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q170",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q170",
        "symbol": "S_mu(R) Hasse control volume",
        "exact_form": "sum_{sigma in R} c_sigma^2; dS=J_in-J_out across incidence cut",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "choose/source recursive layer ownership semantics",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "S_mu(R) Hasse control volume",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q170",
        "symbol": "S_mu(R) Hasse control volume",
        "exact_form": "sum_{sigma in R} c_sigma^2; dS=J_in-J_out across incidence cut",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "choose/source recursive layer ownership semantics"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: choose/source recursive layer ownership semantics Exact source status is not a new proof audit or physical identification. Consult ARA06, ARA07 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA06",
        "ARA07"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q171",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q171",
        "symbol": "S_tau^core, J23",
        "exact_form": "S_tau^core=c3_tau^2; dot S=sum_f 2 B3_f,tau c2_f c3_tau",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / micro support throughput closed",
        "next_gate": "open-system/coarse recursive support",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "S_tau^core, J23",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q171",
        "symbol": "S_tau^core, J23",
        "exact_form": "S_tau^core=c3_tau^2; dot S=sum_f 2 B3_f,tau c2_f c3_tau",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / micro support throughput closed",
        "next_gate": "open-system/coarse recursive support"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: open-system/coarse recursive support Exact source status is not a new proof audit or physical identification. Consult ARA03 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA03"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q172",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q172",
        "symbol": "S_f^iface",
        "exact_form": "c2_f^2; dot S_f=sum_e J12_e,f - sum_tau J23_f,tau",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "only eliminate reservoir under explicit controlled approximation",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "S_f^iface",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q172",
        "symbol": "S_f^iface",
        "exact_form": "c2_f^2; dot S_f=sum_e J12_e,f - sum_tau J23_f,tau",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "only eliminate reservoir under explicit controlled approximation"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: only eliminate reservoir under explicit controlled approximation Exact source status is not a new proof audit or physical identification. Consult ARA03 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA03"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q173",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q173",
        "symbol": "J23^h",
        "exact_form": "2 h_f B3_f,tau c2_f c3_tau",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / 128 masks verified on A pair",
        "next_gate": "gate-transition receipt",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "J23^h",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q173",
        "symbol": "J23^h",
        "exact_form": "2 h_f B3_f,tau c2_f c3_tau",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / 128 masks verified on A pair",
        "next_gate": "gate-transition receipt"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: gate-transition receipt Exact source status is not a new proof audit or physical identification. Consult ARA03, ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA03",
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q174",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q174",
        "symbol": "Spec_support(A)",
        "exact_form": "0^1, (±i√3)^4, (±i√5)^7; f=(5,9,7,2)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "none for mathematics",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "Spec_support(A)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q174",
        "symbol": "Spec_support(A)",
        "exact_form": "0^1, (±i√3)^4, (±i√5)^7; f=(5,9,7,2)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "none for mathematics"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none for mathematics Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q175",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q175",
        "symbol": "Spec_support(B)=Spec_support(C)",
        "exact_form": "0^1, (±i√2)^2, (±i√5)^11; f=(5,10,9,3)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "none for mathematics",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "Spec_support(B)=Spec_support(C)",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q175",
        "symbol": "Spec_support(B)=Spec_support(C)",
        "exact_form": "0^1, (±i√2)^2, (±i√5)^11; f=(5,10,9,3)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "none for mathematics"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none for mathematics Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q176",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q176",
        "symbol": "global support recurrence",
        "exact_form": "no finite nonzero common period for A,B,C",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK",
        "next_gate": "independent synchronization/coarse clock theorem",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "global support recurrence",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q176",
        "symbol": "global support recurrence",
        "exact_form": "no finite nonzero common period for A,B,C",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK",
        "next_gate": "independent synchronization/coarse clock theorem"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: independent synchronization/coarse clock theorem",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q177",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q177",
        "symbol": "w_sigma,tau^eq",
        "exact_form": "1/n3(sigma) for sigma subset tau",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK",
        "next_gate": "open-system support semantics",
        "use_class": "CURRENT_LOCKED_GEOMETRY",
        "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.",
        "display_symbol": "w_sigma,tau^eq",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q177",
        "symbol": "w_sigma,tau^eq",
        "exact_form": "1/n3(sigma) for sigma subset tau",
        "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY",
        "status": "AUTO_LOCK",
        "next_gate": "open-system support semantics"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_MATHEMATICAL_GEOMETRY claim only within its stated source premises. Current reopening/next gate: open-system support semantics Exact source status is not a new proof audit or physical identification. Consult ARA06 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA06"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q178",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q178",
        "symbol": "S_mu,tau^eq",
        "exact_form": "sum_{sigma subset tau} c_sigma^2/n3(sigma)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / admitted packet-cell micro support stock",
        "next_gate": "environment/dissipation/renewal source terms",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "S_mu,tau^eq",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q178",
        "symbol": "S_mu,tau^eq",
        "exact_form": "sum_{sigma subset tau} c_sigma^2/n3(sigma)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / admitted packet-cell micro support stock",
        "next_gate": "environment/dissipation/renewal source terms"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: environment/dissipation/renewal source terms Exact source status is not a new proof audit or physical identification. Consult ARA05, ARA06 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05",
        "ARA06"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q179",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q179",
        "symbol": "dot S_mu,tau^eq",
        "exact_form": "sum_{sigma⊂eta}(w_eta,tau-w_sigma,tau) J_sigma,eta",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "open-system source/sink terms",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "dot S_mu,tau^eq",
        "reconciliation_notes": ""
      },
      "historical_source_id": "A20",
      "historical_row": {
        "id": "Q179",
        "symbol": "dot S_mu,tau^eq",
        "exact_form": "sum_{sigma⊂eta}(w_eta,tau-w_sigma,tau) J_sigma,eta",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK",
        "next_gate": "open-system source/sink terms"
      },
      "version_relation": "UNCHANGED_FIELDS",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: open-system source/sink terms Exact source status is not a new proof audit or physical identification. Consult ARA05, ARA06 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05",
        "ARA06"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O10",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O10",
        "symbol": "A_0^(native action unit)",
        "exact_form": "A_0 = B_0 a_0^2 / tau_0",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK / NATIVE ACTION-DIMENSION UNIT OBJECT / B0 MASS-LIKE / NO SI IDENTIFICATION",
        "next_gate": "authorize native-to-physical unit mapping only after B_e/normalization provenance gates; B_0,a_0,tau_0 remain native unit anchors rather than empirical targets",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, unit object, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "\\mathcal A_0",
        "reconciliation_notes": "v0.43: A0=B0 a0^2/tau0; dimensional closure requires [B0]=M. Current physical action-ratio direction is eta_A=A0/hbar."
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: authorize native-to-physical unit mapping only after B_e/normalization provenance gates; B_0,a_0,tau_0 remain native unit anchors rather than empirical targets Consult ARA07 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA07"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O11",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O11",
        "symbol": "A_spinor,rec^(native)",
        "exact_form": "pi A_0 = pi B_0 a_0^2 / tau_0, conditional on canonical native-unit lift S_native := A_0 I_loop->Hodge",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK CONDITIONAL / NATIVE UNIT-SPINOR RECURRENCE ACTION ANCHOR / NOT PHYSICAL h OR hbar",
        "next_gate": "compare only through a frozen native-to-physical unit bridge after G06 convention/provenance is resolved; no target backsolve",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, unit object, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "\\mathcal A_{\\rm spinor,rec}^{\\rm native}",
        "reconciliation_notes": "v0.41: O09 gives I_spinor=pi for a unit-support one-winding recurrence. Multiplication by the declared native action unit A_0 gives the parameter-free native dimensional anchor."
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: compare only through a frozen native-to-physical unit bridge after G06 convention/provenance is resolved; no target backsolve",
      "amendment_ids": [],
      "explicit_references": [
        {
          "ref_id": "G06",
          "field": "next_gate",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        },
        {
          "ref_id": "O09",
          "field": "reconciliation_notes",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O12",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O12",
        "symbol": "xi_hbar^[phys/native]",
        "exact_form": "hbar/A_0; equivalently hbar = xi_hbar^[phys/native] A_0",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK AS EXPLICIT CONVENTION ALIAS / SOURCE-STRATUM SEMANTICS ONLY / NUMERICAL VALUE OPEN",
        "next_gate": "may become canonical only via recovered provenance or explicit source amendment; physical unit map remains downstream",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, unit object, convention alias, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "\\xi_\\hbar^{[\\rm phys/native]}",
        "reconciliation_notes": "v0.42 convention-qualified alias C1. Prevents silent reciprocal reuse."
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: may become canonical only via recovered provenance or explicit source amendment; physical unit map remains downstream",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O13",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O13",
        "symbol": "xi_hbar^[native/phys]",
        "exact_form": "A_0/hbar; equivalently A_0 = xi_hbar^[native/phys] hbar = 1/xi_hbar^[phys/native]",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK AS EXPLICIT RECIPROCAL CONVENTION ALIAS / SOURCE-STRATUM SEMANTICS ONLY / NUMERICAL VALUE OPEN",
        "next_gate": "may become canonical only via recovered provenance or explicit source amendment; physical unit map remains downstream",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, unit object, convention alias, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "\\xi_\\hbar^{[\\rm native/phys]}",
        "reconciliation_notes": "v0.42 convention-qualified alias C2. Exact reciprocal of O12."
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: may become canonical only via recovered provenance or explicit source amendment; physical unit map remains downstream",
      "amendment_ids": [],
      "explicit_references": [
        {
          "ref_id": "O12",
          "field": "reconciliation_notes",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O14",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O14",
        "symbol": "eta_A",
        "exact_form": "A_0/hbar; equivalently A_0 = eta_A hbar",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK / CURRENT CANONICAL ACTION-RATIO DIRECTION / NUMERICAL VALUE OPEN / NO PHYSICAL PROMOTION",
        "next_gate": "derive/recover numerical native-to-physical action ratio target-blind and independently reconstruct primitive quantum-holonomy normalization before identifying eta_A with xi_act-related quantities",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, unit object, convention ratio, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "\\eta_{\\mathcal A}",
        "reconciliation_notes": "v0.43 current canonical replacement for unqualified bare xi_hbar; historical xi conventions translate as eta_A and eta_A^(-1)."
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: derive/recover numerical native-to-physical action ratio target-blind and independently reconstruct primitive quantum-holonomy normalization before identifying eta_A with xi_act-related quantities Consult ARA07 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA07"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O15",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O15",
        "symbol": "B_0^(native mass unit)",
        "exact_form": "[B_0]=M; required jointly by A_0=B_0 a_0^2/tau_0 and G_SI=gamma_G a_0^3/(B_0 tau_0^2)",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK / MASS-LIKE NATIVE UNIT TYPE / ENERGY-TYPED B0 BRANCH FROZEN",
        "next_gate": "physical matter-anchor identity and numerical B_e remain downstream/open",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, unit object, convention ratio, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "B_0",
        "reconciliation_notes": "v0.43 dimensional repair from ACTION_UNIT_XI_HBAR_RECIPROCAL_AND_B0_DIMENSION_REPAIR_v0.1."
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: physical matter-anchor identity and numerical B_e remain downstream/open Consult ARA07 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA07"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q180",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q180",
        "symbol": "PSR(c)",
        "exact_form": "({rho_sigma},{chi_sigma,tau}_F,{epsilon_C})",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / SUFFICIENT PROJECTIVE SUPPORT RECEIPT ON NONZERO CHAIN STATE",
        "next_gate": "same-carrier acquisition of the required stock/current/root-sign receipt",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "PSR(c)",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_RAY; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: same-carrier acquisition of the required stock/current/root-sign receipt Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q181",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q181",
        "symbol": "R_PSR(PSR(c))",
        "exact_form": "c/sqrt(S_mu(c))",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT POSITIVE-RAY RECONSTRUCTION THEOREM",
        "next_gate": "physical preparation/measurement realization and independent held-out test",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "R_PSR(PSR(c))",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_RAY; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: physical preparation/measurement realization and independent held-out test Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q182",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q182",
        "symbol": "receipt-only chain-ray identifiability",
        "exact_form": "{event/route/lineage receipts + all Hasse currents + S_mu} not=> [c]",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / PARITY-DEGREE GAUGE WITNESS",
        "next_gate": "reopen only with an independently sufficient support receipt such as PSR",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "receipt-only chain-ray identifiability",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_RAY; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: reopen only with an independently sufficient support receipt such as PSR",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q183",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q183",
        "symbol": "PSR_pre acquisition algebra",
        "exact_form": "q_sigma=c_sigma^2; chi=sgn(BJ); q_r^+-q_r^-=4 alpha c_r",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL ALGEBRA / CANDIDATE MEASUREMENT BRIDGE",
        "next_gate": "real simplex-resolved stock/current telemetry and calibrated restore-equivalent root probe",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "PSR_pre acquisition algebra",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_PRE; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: real simplex-resolved stock/current telemetry and calibrated restore-equivalent root probe",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q184",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q184",
        "symbol": "PSR A->B->C covariance",
        "exact_form": "R_C(PSR(PTc))=PT R_A(PSR(c)); R_C(PSR(Pc))=P R_B(PSR(c))",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT EVENT-RAY COVARIANCE",
        "next_gate": "same-carrier empirical implementation; A->B vulnerable dynamical residual remains separate",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "PSR A->B->C covariance",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_ABC; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: same-carrier empirical implementation; A->B vulnerable dynamical residual remains separate Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q185",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q185",
        "symbol": "PSR forest-choice gauge",
        "exact_form": "R_C(PSR_C^mapped)=R_C(PSR_C^canonical)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / FOREST SERIALIZATION GAUGE EQUIVALENCE",
        "next_gate": "none for ray reconstruction; transport serializers must preserve provenance",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "PSR forest-choice gauge",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_ABC; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none for ray reconstruction; transport serializers must preserve provenance Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q186",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q186",
        "symbol": "PSR schema integrity vs source authenticity",
        "exact_form": "PSR_SCHEMA_PASS not=> intended external source state",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / COHERENT ALTERNATE-STATE WITNESS",
        "next_gate": "trusted source authentication / independent state-identity channel",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "PSR schema integrity vs source authenticity",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_ROBUST; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: trusted source authentication / independent state-identity channel",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q187",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q187",
        "symbol": "PSR authenticated interval receipt",
        "exact_form": "AUTH_PASS -> uncertainty feasibility -> ray enclosure",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "AUTO_LOCK / SOURCE-AUTHENTICATION + UNCERTAINTY INTERFACE",
        "next_gate": "real calibration certificates, trusted signer, same-carrier held-out acquisition",
        "use_class": "BRIDGE",
        "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.",
        "display_symbol": "PSR authenticated interval receipt",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_AUTH; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "BRIDGE — TESTED SCOPE ONLY",
      "reuse_limit": "Retain the original COMPUTED_BRIDGE claim only within its stated source premises. Current reopening/next gate: real calibration certificates, trusted signer, same-carrier held-out acquisition",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q188",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q188",
        "symbol": "PSR log-linear magnitude feasibility",
        "exact_form": "2 ln(J_min/2) <= x_sigma+x_tau <= 2 ln(J_max/2), x_sigma=ln q_sigma",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT POSITIVE-SUPPORT INTERVAL FEASIBILITY TRANSFORM",
        "next_gate": "empirical interval source/coverage validation; zero-crossing cases remain indeterminate",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "PSR log-linear magnitude feasibility",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_AUTH; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: empirical interval source/coverage validation; zero-crossing cases remain indeterminate Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q189",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q189",
        "symbol": "K4 PSR Hasse train/holdout split",
        "exact_form": "28 = 14_train + 14_holdout",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / FULL-SUPPORT FILLED-K4 INTRINSIC SPLIT",
        "next_gate": "real same-carrier acquisition with frozen deterministic tree and hidden complement",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "K4 PSR Hasse train/holdout split",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_SAME; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: real same-carrier acquisition with frozen deterministic tree and hidden complement Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q190",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q190",
        "symbol": "I_sigma,tau^pred",
        "exact_form": "range_{c in F_PSR}(2 B_sigma,tau c_sigma c_tau)",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / PRETARGET HELD-OUT CURRENT PREDICTION SET",
        "next_gate": "authenticated held-out measurement and independent joint-compatibility scorer",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "I_sigma,tau^pred",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_SAME; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: authenticated held-out measurement and independent joint-compatibility scorer",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q191",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q191",
        "symbol": "rho_sigma^(opt)",
        "exact_form": "P_sigma/P_science",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "AUTO_LOCK / COHERENT-PHOTONIC PSR SUPPORT MAP",
        "next_gate": "device-specific detector/source calibration and held-out realization",
        "use_class": "BRIDGE",
        "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.",
        "display_symbol": "rho_sigma^(opt)",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_PLATFORM; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "BRIDGE — TESTED SCOPE ONLY",
      "reuse_limit": "Retain the original COMPUTED_BRIDGE claim only within its stated source premises. Current reopening/next gate: device-specific detector/source calibration and held-out realization",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q192",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q192",
        "symbol": "J_sigma,tau^(opt)",
        "exact_form": "B_sigma,tau (P_+-P_-)/P_science = 2 B_sigma,tau c_hat_sigma c_hat_tau",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "AUTO_LOCK / BALANCED-INTERFERENCE HASSSE-BILINEAR MAP",
        "next_gate": "device-specific 50:50 analyzer calibration, phase reference, uncertainty, held-out test",
        "use_class": "BRIDGE",
        "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.",
        "display_symbol": "J_sigma,tau^(opt)",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_PLATFORM; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "BRIDGE — TESTED SCOPE ONLY",
      "reuse_limit": "Retain the original COMPUTED_BRIDGE claim only within its stated source premises. Current reopening/next gate: device-specific 50:50 analyzer calibration, phase reference, uncertainty, held-out test",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q193",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q193",
        "symbol": "PSR optical root probe",
        "exact_form": "q_r^+-q_r^- = 4 alpha_cert c_r after calibrated 50:50 root/aux normalization",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "AUTO_LOCK / MATCHED COHERENT ROOT-SIGN MAP",
        "next_gate": "mode-17 amplitude/phase calibration and restore/stationarity certificate",
        "use_class": "BRIDGE",
        "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.",
        "display_symbol": "PSR optical root probe",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_OPTICAL; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "BRIDGE — TESTED SCOPE ONLY",
      "reuse_limit": "Retain the original COMPUTED_BRIDGE claim only within its stated source premises. Current reopening/next gate: mode-17 amplitude/phase calibration and restore/stationarity certificate",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O16",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O16",
        "symbol": "PSR optical logical-mode contract",
        "exact_form": "m1-15 science; m16 reference; m17 root auxiliary; m18-20 calibration/guard",
        "claim_bin": "NOT_A_COEFFICIENT",
        "status": "AUTO_LOCK / FROZEN 20-MODE IMPLEMENTATION MAP",
        "next_gate": "serial-device binding and calibration; no target-aware remap",
        "use_class": "NON_COEFFICIENT",
        "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.",
        "display_symbol": "PSR optical logical-mode contract",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_OPTICAL; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "TYPED OBJECT — NOT A UNIVERSAL COEFFICIENT",
      "reuse_limit": "Retain the original NOT_A_COEFFICIENT claim only within its stated source premises. Current reopening/next gate: serial-device binding and calibration; no target-aware remap",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O17",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O17",
        "symbol": "PSR optical pretarget freeze",
        "exact_form": "SHA256 126aa44b4a034d9b4c3d2dc02a6c372659cd3cbe905f1d0b22f877d3e2aa4812",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / PRETARGET IMPLEMENTATION CORE FROZEN",
        "next_gate": "device-session source bundle must validate before acquisition",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "PSR optical pretarget freeze",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_OPTICAL; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: device-session source bundle must validate before acquisition",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O18",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O18",
        "symbol": "PSR QuiX Alquor20 model/lab binding",
        "exact_form": "PUBLIC_MODEL_BINDING=PASS; SERIAL_DEVICE_SESSION=OPEN",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK MODEL/LAB BINDING / ACQUISITION BLOCKED",
        "next_gate": "real device serial, firmware/configuration, detector/source/phase/stationarity certificates",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "PSR QuiX Alquor20 model/lab binding",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_QUIX; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: real device serial, firmware/configuration, detector/source/phase/stationarity certificates",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O19",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O19",
        "symbol": "PSR device-session authorization gate",
        "exact_form": "schema ∧ source_complete ∧ device_contract ∧ frozen_hashes ∧ cert_hashes ∧ trusted_attestation",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / FAIL-CLOSED INTAKE VALIDATOR",
        "next_gate": "real QuiX/lab trust anchor and signed calibration/session return",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "PSR device-session authorization gate",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_VALIDATOR; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: real QuiX/lab trust anchor and signed calibration/session return",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O20",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O20",
        "symbol": "PSR real optical acquisition authorization",
        "exact_form": "FALSE / BLOCKED_PENDING_REAL_DEVICE_SESSION_BUNDLE",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK CURRENT STATUS / NO REAL HELD-OUT OPTICAL RESULT",
        "next_gate": "validator must return ACQUISITION_AUTHORIZED on a real source bundle",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "PSR real optical acquisition authorization",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_VALIDATOR; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: validator must return ACQUISITION_AUTHORIZED on a real source bundle",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O21",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O21",
        "symbol": "PSR vendor/lab attestation handoff",
        "exact_form": "VENDOR_HANDOFF_READY / PUBLIC-KEY-ONLY TRUST ENROLLMENT / HELDOUT DATA EXCLUDED",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / EXTERNAL SOURCE-HANDOFF CONTRACT READY",
        "next_gate": "vendor/lab response with real calibration evidence; then validator intake",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "PSR vendor/lab attestation handoff",
        "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_HANDOFF; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: vendor/lab response with real calibration evidence; then validator intake",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q194",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q194",
        "symbol": "receipt-index continuation-map cancellation",
        "exact_form": "ind F_n = dim L_n^- - dim L_n^+",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / NET Hamming budget independent of continuation-map rank",
        "next_gate": "derive native source construction of L_n^- and L_n^+",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "receipt-index continuation-map cancellation",
        "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: derive native source construction of L_n^- and L_n^+ Exact source status is not a new proof audit or physical identification. Consult ARA02 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q195",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q195",
        "symbol": "minimal receipt-index net budget",
        "exact_form": "mu_Theta,n = dim L_n^- - dim L_n^+",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / SOURCE-COMPLETE PRE-EVENT NET POLARITY AND MULTIPLICITY LAW",
        "next_gate": "held-out endpoint validation on independently sourced receipt-complete events",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "minimal receipt-index net budget",
        "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL RECEIPT MAP — IDLE / INPUT GATES APPLY",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: held-out endpoint validation on independently sourced receipt-complete events Consult ARA02, ARA03, ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02",
        "ARA03",
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q196",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q196",
        "symbol": "receipt-index closure-capacity change",
        "exact_form": "Delta D_cl,n = -2 mu_Theta,n",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / NET CLOSURE POLARITY",
        "next_gate": "same held-out event test",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "receipt-index closure-capacity change",
        "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL RECEIPT MAP — IDLE / INPUT GATES APPLY",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: same held-out event test Consult ARA02 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q197",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q197",
        "symbol": "three-pair burden endpoint selector",
        "exact_form": "argmin_{theta in A_k(T)} sum_p theta_p W_p^B2",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / EXACT THREE-PAIR ADDRESS SELECTOR WITH HOLD ON TIES",
        "next_gate": "held-out exact address validation",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "three-pair burden endpoint selector",
        "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL RECEIPT MAP — IDLE / INPUT GATES APPLY",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: held-out exact address validation Consult ARA02 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q198",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q198",
        "symbol": "constitutive receipt-index event operator E_n^RI",
        "exact_form": "(theta_bar^-,L^-,L^+,T,W^B2) -> theta^+ or HOLD/INFEASIBLE",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "AUTO_LOCK / SOURCE-COMPLETE CONDITIONAL CONSTITUTIVE OPERATOR",
        "next_gate": "independent target-blind joint replay",
        "use_class": "BRIDGE",
        "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.",
        "display_symbol": "constitutive receipt-index event operator E_n^RI",
        "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL RECEIPT MAP — IDLE / INPUT GATES APPLY",
      "reuse_limit": "Retain the original COMPUTED_BRIDGE claim only within its stated source premises. Current reopening/next gate: independent target-blind joint replay Consult ARA02, ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02",
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q199",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q199",
        "symbol": "net/gross parity event identities",
        "exact_form": "|c|-|o|=mu_Theta; |c|+|o|=w_H(a)",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / DIRECTED NET AND GROSS MULTIPLICITY IDENTITIES",
        "next_gate": "none internally; empirical receipt validation downstream",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "net/gross parity event identities",
        "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none internally; empirical receipt validation downstream Exact source status is not a new proof audit or physical identification. Consult ARA02 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q200",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q200",
        "symbol": "lineage provenance from net budget",
        "exact_form": "{dim L^-,dim L^+,mu,endpoint} not=> predecessor/source-renewal provenance",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / CONTINUATION CANCELLATION DOES NOT IDENTIFY LINEAGE",
        "next_gate": "independent predecessor/lineage receipts required",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "lineage provenance from net budget",
        "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: independent predecessor/lineage receipts required Consult ARA02 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O22",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O22",
        "symbol": "signed-support polarity lane under receipt-index availability",
        "exact_form": "SECONDARY_DIAGNOSTIC_ONLY; may not override mu_Theta^RI",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / PRIMARY SOURCE PRECEDENCE REPAIRED",
        "next_gate": "test equality mu_RI = mu_sign as independent falsifier",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "signed-support polarity lane under receipt-index availability",
        "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: test equality mu_RI = mu_sign as independent falsifier Consult ARA02, ARA03 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02",
        "ARA03"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q201",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q201",
        "symbol": "pair hard integrity T_p^pair",
        "exact_form": "product_{e in M_p} T_int,e^hard",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / pair viability derived from edge integrity",
        "next_gate": "none internally",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "pair hard integrity T_p^pair",
        "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none internally Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q202",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q202",
        "symbol": "latent pair support Lambda_p^pair",
        "exact_form": "sum_{e in M_p} 2|c1,e|(|c0,i|+|c0,j|)",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / pre-gate reopening-visible pair activity",
        "next_gate": "empirical/source acquisition if used constitutively",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "latent pair support Lambda_p^pair",
        "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: empirical/source acquisition if used constitutively Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q203",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q203",
        "symbol": "gated-route obligation-source no-go",
        "exact_form": "theta_p=1 can imply Phi_e^S=0 for all e in M_p while Lambda_p^pair>0",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / gated flow reopening blind",
        "next_gate": "use a pre-gate source for reopening-aware constitutive work",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "gated-route obligation-source no-go",
        "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: use a pre-gate source for reopening-aware constitutive work",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q204",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q204",
        "symbol": "latent obligation receipt omega_p^lat",
        "exact_form": "T_p^pair * 1[Lambda_p^pair>0]",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / source-bound binary latent receipt",
        "next_gate": "constitutive interpretation separately gated",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "latent obligation receipt omega_p^lat",
        "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: constitutive interpretation separately gated Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q205",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q205",
        "symbol": "POC-1 obligation saturation",
        "exact_form": "1-theta_tau = omega_tau^lat",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "PREREGISTERED CONSTITUTIVE CANDIDATE / NOT INTERNAL THEOREM",
        "next_gate": "held-out previous-event saturation and endpoint tests",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "POC-1 obligation saturation",
        "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "FROZEN CANDIDATE — NO EMPIRICAL SCORE",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: held-out previous-event saturation and endpoint tests Consult ARA02 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q206",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q206",
        "symbol": "POC-1 obligation spaces",
        "exact_form": "L^- = span{e_p:omega_p(tau)=1}; L^+ = span{e_p:omega_p(n*)=1}",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL ON POC-1",
        "next_gate": "independent event replay",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "POC-1 obligation spaces",
        "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: independent event replay Consult ARA02 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q207",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q207",
        "symbol": "POC-1 first-change trigger",
        "exact_form": "n*=min{n>tau: omega_n^lat != omega_tau^lat}",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / ZERO-THRESHOLD TRIGGER",
        "next_gate": "independent event replay",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "POC-1 first-change trigger",
        "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: independent event replay Consult ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q208",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q208",
        "symbol": "POC-1 endpoint",
        "exact_form": "theta^+ = 1-omega_n*^lat",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "PREREGISTERED PAIR-ADDRESSED CONSTITUTIVE PREDICTOR",
        "next_gate": "held-out exact endpoint test",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "POC-1 endpoint",
        "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "FROZEN CANDIDATE — NO EMPIRICAL SCORE",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: held-out exact endpoint test Consult ARA02 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q209",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q209",
        "symbol": "POC-1 S4 covariance",
        "exact_form": "omega^lat -> P_pi(g) omega^lat",
        "claim_bin": "EXACT_INTERNAL",
        "status": "AUTO_LOCK / EXACT COVARIANCE",
        "next_gate": "none internally",
        "use_class": "CURRENT_EXACT",
        "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.",
        "display_symbol": "POC-1 S4 covariance",
        "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original EXACT_INTERNAL claim only within its stated source premises. Current reopening/next gate: none internally Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q210",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q210",
        "symbol": "closed-carrier obligation nonidentifiability",
        "exact_form": "current exact closed packet/support/route variables do not force omega^lat to be an output obligation",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / CONSTITUTIVE SEMANTICS STILL REQUIRED",
        "next_gate": "held-out test or stronger source theorem",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "closed-carrier obligation nonidentifiability",
        "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: held-out test or stronger source theorem Consult ARA02, ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02",
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O23",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O23",
        "symbol": "burden optimizer under POC-1",
        "exact_form": "SECONDARY_DIAGNOSTIC; cannot overwrite pair-addressed obligation prediction",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / SOURCE PRECEDENCE UPDATED",
        "next_gate": "compare theta_POC1 to Theta_opt^B2 as independent diagnostic",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "burden optimizer under POC-1",
        "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: compare theta_POC1 to Theta_opt^B2 as independent diagnostic Consult ARA02 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q211",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q211",
        "symbol": "public POC-1 corpus source-completeness no-go",
        "exact_form": "surveyed public corpora do not supply all frozen R1-R8 POC-1 source fields on native/pre-frozen types",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / NO PUBLIC SOURCE-COMPLETE POC-1 CORPUS IDENTIFIED",
        "next_gate": "purpose-built independent corpus or pre-frozen new correspondence before target exposure",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "public POC-1 corpus source-completeness no-go",
        "reconciliation_notes": "v0.47 POC-1 corpus-admissibility no-go; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: purpose-built independent corpus or pre-frozen new correspondence before target exposure Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O24",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O24",
        "symbol": "POC-1 public empirical score status",
        "exact_form": "NO_SCORE / SOURCE_ADMISSION_FAIL",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / EMPIRICAL VERDICT WITHHELD RATHER THAN PROXY-FITTED",
        "next_gate": "admit a corpus passing R1-R8 then execute frozen predictor",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "POC-1 public empirical score status",
        "reconciliation_notes": "v0.47 POC-1 corpus-admissibility no-go; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: admit a corpus passing R1-R8 then execute frozen predictor",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O25",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O25",
        "symbol": "POC-1 native event bench carrier contract",
        "exact_form": "4 C0 + 6 C1 + 6 hard-integrity + 3 theta endpoint latches",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / PURPOSE-BUILT NATIVE SOURCE CONTRACT FROZEN",
        "next_gate": "bind a real independent apparatus",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "POC-1 native event bench carrier contract",
        "reconciliation_notes": "v0.48 purpose-built POC-1 experiment preregistration; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: bind a real independent apparatus",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O26",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O26",
        "symbol": "POC-1 event-engine independence contract",
        "exact_form": "independent authoring + pretarget mechanism hash + no predictor read access",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_LOCK / NONTAUTOLOGY CONTROL",
        "next_gate": "independent lab execution",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "POC-1 event-engine independence contract",
        "reconciliation_notes": "v0.48 purpose-built POC-1 experiment preregistration; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: independent lab execution",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O27",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O27",
        "symbol": "POC-1 endpoint custody order",
        "exact_form": "source packet < prediction freeze < endpoint release < score",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_LOCK / BLIND ENDPOINT CUSTODY",
        "next_gate": "real run with independent custody",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "POC-1 endpoint custody order",
        "reconciliation_notes": "v0.48 purpose-built POC-1 experiment preregistration; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: real run with independent custody",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q212",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q212",
        "symbol": "POC-1 purpose-built endpoint test",
        "exact_form": "theta_hat^+ = 1-omega_lat; exact equality to hidden theta+",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "PRETARGET FROZEN / DETERMINISTIC HELD-OUT CONSTITUTIVE TEST",
        "next_gate": "independent purpose-built run",
        "use_class": "BRIDGE",
        "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.",
        "display_symbol": "POC-1 purpose-built endpoint test",
        "reconciliation_notes": "v0.48 purpose-built POC-1 experiment preregistration; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "BRIDGE — TESTED SCOPE ONLY",
      "reuse_limit": "Retain the original COMPUTED_BRIDGE claim only within its stated source premises. Current reopening/next gate: independent purpose-built run Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O28",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O28",
        "symbol": "POC-1 purpose-built experiment status",
        "exact_form": "FROZEN_SPEC / REAL_RUN_NOT_EXECUTED",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / NO EMPIRICAL CLAIM YET",
        "next_gate": "independent apparatus binding and execution",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "POC-1 purpose-built experiment status",
        "reconciliation_notes": "v0.48 purpose-built POC-1 experiment preregistration; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: independent apparatus binding and execution",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O29",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O29",
        "symbol": "POC-1 lab hardware channel contract",
        "exact_form": "4 C0 + 6 independent C1 + 6 hard integrity + 3 endpoint latches",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / LAB IMPLEMENTATION CONTRACT READY",
        "next_gate": "real bench binding",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "POC-1 lab hardware channel contract",
        "reconciliation_notes": "v0.49 POC-1 mixed-signal lab implementation patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: real bench binding",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O30",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O30",
        "symbol": "POC-1 timing/custody barrier",
        "exact_form": "calibration < engine commit < source seal < prediction freeze < endpoint release < score",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_LOCK / TARGET-BLIND OFFLINE CUSTODY",
        "next_gate": "real lab custody verification",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "POC-1 timing/custody barrier",
        "reconciliation_notes": "v0.49 POC-1 mixed-signal lab implementation patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: real lab custody verification",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q213",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q213",
        "symbol": "interval-safe latent receipt implementation",
        "exact_form": "interval arithmetic -> omega_lat or SOURCE_INDETERMINATE; no epsilon",
        "claim_bin": "COMPUTED_BRIDGE",
        "status": "AUTO_LOCK / MEASUREMENT-SAFE POC-1 SOURCE MAP",
        "next_gate": "real calibration coverage",
        "use_class": "BRIDGE",
        "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.",
        "display_symbol": "interval-safe latent receipt implementation",
        "reconciliation_notes": "v0.49 POC-1 mixed-signal lab implementation patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "BRIDGE — TESTED SCOPE ONLY",
      "reuse_limit": "Retain the original COMPUTED_BRIDGE claim only within its stated source premises. Current reopening/next gate: real calibration coverage",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q214",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q214",
        "symbol": "real-time race requirement",
        "exact_form": "endpoint write need not follow prediction freeze; endpoint content release must follow freeze",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / REAL-TIME PREDICTOR RACE NOT REQUIRED FOR TARGET BLINDNESS",
        "next_gate": "none; preserve custody separation",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "real-time race requirement",
        "reconciliation_notes": "v0.49 POC-1 mixed-signal lab implementation patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: none; preserve custody separation",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O31",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O31",
        "symbol": "independent engine input firewall",
        "exact_form": "engine receives neither omega_lat nor POC-1 prediction",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_LOCK / NONTAUTOLOGY INTERFACE",
        "next_gate": "real engine qualification",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "independent engine input firewall",
        "reconciliation_notes": "v0.49 POC-1 mixed-signal lab implementation patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: real engine qualification",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O32",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O32",
        "symbol": "POC-1 lab implementation authorization status",
        "exact_form": "IMPLEMENTATION_PACKET_READY / REAL_HARDWARE_UNBOUND",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / NO EMPIRICAL CLAIM",
        "next_gate": "bind real lab hardware and certificates",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "POC-1 lab implementation authorization status",
        "reconciliation_notes": "v0.49 POC-1 mixed-signal lab implementation patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: bind real lab hardware and certificates",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O33",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O33",
        "symbol": "POC-1 lab-response feasibility criteria",
        "exact_form": "F01-F12 frozen before UdeG/IPN reply ingestion",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_LOCK / PRE-RESPONSE FEASIBILITY GATE",
        "next_gate": "score direct lab replies",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "POC-1 lab-response feasibility criteria",
        "reconciliation_notes": "v0.50 lab-response feasibility gate; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: score direct lab replies Consult ARA10 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA10"
      ],
      "explicit_references": [
        {
          "ref_id": "F01",
          "field": "exact_form",
          "namespace": "lab-feasibility-criteria",
          "in_ledger": false,
          "kind": "explicit text reference; dependency role not inferred"
        },
        {
          "ref_id": "F12",
          "field": "exact_form",
          "namespace": "lab-feasibility-criteria",
          "in_ledger": false,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O34",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O34",
        "symbol": "POC-1 lab-response verdict rule",
        "exact_form": "NO=>NO_GO; UNKNOWN=>INCOMPLETE; CONDITIONAL=>CONDITIONAL; all YES=>PASS",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_LOCK / CATEGORICAL SCORER",
        "next_gate": "apply to first-pass replies",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "POC-1 lab-response verdict rule",
        "reconciliation_notes": "v0.50 lab-response feasibility gate; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: apply to first-pass replies",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O35",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O35",
        "symbol": "POC-1 lab-response evidence rule",
        "exact_form": "direct lab evidence required; public capability evidence cannot upgrade UNKNOWN",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_LOCK / ANTI-INFERENCE NORMALIZATION",
        "next_gate": "preserve reply provenance",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "POC-1 lab-response evidence rule",
        "reconciliation_notes": "v0.50 lab-response feasibility gate; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: preserve reply provenance",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O36",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O36",
        "symbol": "POC-1 parallel-lab comparison rule",
        "exact_form": "multiple PASS labs remain independent paths; no cross-lab criterion mutation",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_LOCK / REPLICATION PRESERVATION",
        "next_gate": "compare after separate first-pass freezes",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "POC-1 parallel-lab comparison rule",
        "reconciliation_notes": "v0.50 lab-response feasibility gate; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: compare after separate first-pass freezes",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O37",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O37",
        "symbol": "POC-1 external lab feasibility status",
        "exact_form": "UdeG=PENDING; IPN=PENDING; criteria frozen",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / NO FEASIBILITY RESULT YET",
        "next_gate": "ingest first direct responses",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "POC-1 external lab feasibility status",
        "reconciliation_notes": "v0.50 lab-response feasibility gate; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: ingest first direct responses",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q215",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q215",
        "symbol": "R_e latent-support witness",
        "exact_form": "c1,e^2(c0,i^2+c0,j^2); R_e>0 iff Lambda_e^S>0",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / POLYNOMIAL ZERO-SET EQUIVALENT TO LATENT ACTIVITY",
        "next_gate": "none internally",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "R_e latent-support witness",
        "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none internally Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q216",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q216",
        "symbol": "dot R_e",
        "exact_form": "2 c1,e dotc1,e(c0,i^2+c0,j^2)+2 c1,e^2(c0,i dotc0,i+c0,j dotc0,j) with Hodge substitutions",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT PRE-GATE LATENT-SUPPORT RATE",
        "next_gate": "empirical source acquisition only",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "dot R_e",
        "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: empirical source acquisition only Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q217",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q217",
        "symbol": "L_p latent occupancy",
        "exact_form": "1[sum_{e in M_p} R_e > 0]",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT PAIR LATENT-SUPPORT RECEIPT",
        "next_gate": "none internally",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "L_p latent occupancy",
        "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none internally Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q218",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q218",
        "symbol": "A_p,S_p viable-lane receipts",
        "exact_form": "A=(1-omega^-)omega^+; S=omega^-(1-omega^+)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT PAIR SOURCE-SINK RECEIPTS",
        "next_gate": "response law separately gated",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "A_p,S_p viable-lane receipts",
        "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: response law separately gated Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q219",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q219",
        "symbol": "viable-lane source/sink subtype partition",
        "exact_form": "A=A^L+A^T+A^LT; S=S^L+S^T+S^LT",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / LATENT ONSET-INTEGRITY RESTORATION-EXTINCTION-LOSS TAGS",
        "next_gate": "do not alias to physical support source/sink",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "viable-lane source/sink subtype partition",
        "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: do not alias to physical support source/sink Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q220",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q220",
        "symbol": "F_omega canonical pair continuation",
        "exact_form": "persistent e_p->e_p; disappearing e_p->0 on fixed A/B/C basis",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / NO PAIR PREDECESSOR AMBIGUITY",
        "next_gate": "general packet lineage remains separate",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "F_omega canonical pair continuation",
        "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: general packet lineage remains separate Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q221",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q221",
        "symbol": "ind F_omega",
        "exact_form": "N_sink-N_add=|omega^-|-|omega^+|",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT VIABLE-LANE SOURCE-SINK INDEX",
        "next_gate": "Theta response separately gated",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "ind F_omega",
        "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: Theta response separately gated Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q222",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q222",
        "symbol": "lane source/sink vs physical source/sink identity",
        "exact_form": "viable-lane A,S are not by equality support s_B, environment leakage, or physical creation/destruction",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / TYPED SOURCE-SINK NONIDENTITY",
        "next_gate": "independent bridge required for any physical alias",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "lane source/sink vs physical source/sink identity",
        "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: independent bridge required for any physical alias",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q223",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q223",
        "symbol": "source/sink receipts -> Theta endpoint",
        "exact_form": "{pre-event c,T,A,S} not=> theta+",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / CONSTITUTIVE RESPONSE NONIDENTIFIABILITY",
        "next_gate": "derive or empirically validate response coupling",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "source/sink receipts -> Theta endpoint",
        "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: derive or empirically validate response coupling Consult ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q224",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q224",
        "symbol": "POC-1 response in source/sink form",
        "exact_form": "c_Theta=S; o_Theta=A; equivalently theta+=1-omega+ on saturation domain",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "PREREGISTERED CONSTITUTIVE RESPONSE / SOURCE-SINK LAYER NOW EXACT",
        "next_gate": "independent held-out response test",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "POC-1 response in source/sink form",
        "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "FROZEN CANDIDATE — NO EMPIRICAL SCORE",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: independent held-out response test Consult ARA02 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O38",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O38",
        "symbol": "remaining POC-1 constitutive gap",
        "exact_form": "SOURCE/SINK RECEIPTS CLOSED; THETA RESPONSE COUPLING OPEN",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / CONSTITUTIVE GAP NARROWED",
        "next_gate": "independent response experiment or deeper response theorem",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "remaining POC-1 constitutive gap",
        "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: independent response experiment or deeper response theorem Consult ARA02 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q225",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q225",
        "symbol": "V_pair(theta|omega)",
        "exact_form": "sum_p (1-theta_p) omega_p",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / PAIR VIABLE-TRANSPORT OBJECTIVE",
        "next_gate": "selection principle itself separately gated",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "V_pair(theta|omega)",
        "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: selection principle itself separately gated Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q226",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q226",
        "symbol": "argmax V_pair",
        "exact_form": "theta_p=0 for omega_p=1; free for omega_p=0; cardinality 2^(3-|omega|)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT MAXIMIZER SET",
        "next_gate": "none mathematically",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "argmax V_pair",
        "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none mathematically Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q227",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q227",
        "symbol": "source->reopen under maximal pair transport",
        "exact_form": "A_p=1 => o_Theta,p=1 on previous-saturation domain",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / MAX-TRANSPORT HALF-RESPONSE",
        "next_gate": "justify maximal pair transport constitutively or test it",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "source->reopen under maximal pair transport",
        "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: justify maximal pair transport constitutively or test it",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q228",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q228",
        "symbol": "sink->closure under maximal transport",
        "exact_form": "S_p=1 not=> c_Theta,p=1",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / MAXIMAL TRANSPORT DOES NOT FORCE POC1 CLOSURE",
        "next_gate": "additional closure-economy principle or empirical test",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "sink->closure under maximal transport",
        "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: additional closure-economy principle or empirical test",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q229",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q229",
        "symbol": "G_p edge-admitted latent activity",
        "exact_form": "sum_{e in M_p} T_e Lambda_e^S",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EDGE-LEVEL MAX-TRANSPORT SOURCE OBJECT",
        "next_gate": "none internally",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "G_p edge-admitted latent activity",
        "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none internally Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q230",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q230",
        "symbol": "partial-integrity POC1/max-transport divergence",
        "exact_form": "omega_p=0 and G_p>0 => theta_POC1=1 while edge-max theta=0",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / POC1 CAN CONFLICT WITH EDGE-LEVEL MAX TRANSPORT",
        "next_gate": "target-blind discriminating event",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "partial-integrity POC1/max-transport divergence",
        "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: target-blind discriminating event",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q231",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q231",
        "symbol": "support-continuity response selection",
        "exact_form": "support continuity not=> theta_p or c_Theta=S",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / CONTROL-VOLUME BALANCE IS GATE-PARAMETRIC",
        "next_gate": "new constitutive response principle required",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "support-continuity response selection",
        "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: new constitutive response principle required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q232",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q232",
        "symbol": "POC1 logical decomposition",
        "exact_form": "1-theta=omega iff [omega<=1-theta] and [1-theta<=omega]",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / VIABLE COMPLETENESS + NO-IDLE-OPEN EQUIVALENCE",
        "next_gate": "derive second inequality",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "POC1 logical decomposition",
        "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: derive second inequality Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q233",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q233",
        "symbol": "closure-economy principle",
        "exact_form": "among maximal pair-transport states maximize w_H(theta)",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "CANDIDATE / UNIQUELY RECOVERS POC1",
        "next_gate": "independent derivation or held-out discrimination",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "closure-economy principle",
        "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: independent derivation or held-out discrimination",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q234",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q234",
        "symbol": "MTA response",
        "exact_form": "theta_p^MTA = 1[G_p=0] from edge-max transport then max closure",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "CANDIDATE COMPETITOR / DIFFERS FROM POC1 ON PARTIAL INTEGRITY",
        "next_gate": "held-out partial-integrity events",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "MTA response",
        "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: held-out partial-integrity events",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O39",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O39",
        "symbol": "remaining response-coupling gap",
        "exact_form": "reopening half conditionally supported; sink closure requires no-idle-open/closure-economy principle",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / RESPONSE GAP SHARPENED",
        "next_gate": "derive/falsify closure-economy principle",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "remaining response-coupling gap",
        "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: derive/falsify closure-economy principle",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q235",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q235",
        "symbol": "S3-equivariant response-map count",
        "exact_form": "64 maps Omega->Q",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT RESPONSE MAP ENUMERATION",
        "next_gate": "none internally",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "S3-equivariant response-map count",
        "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none internally Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q236",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q236",
        "symbol": "equivariant transport-complete response count",
        "exact_form": "8 of 64 satisfy omega<=R(omega)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / SYMMETRY+COMPLETENESS NONUNIQUENESS",
        "next_gate": "additional response principle required",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "equivariant transport-complete response count",
        "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: additional response principle required Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q237",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q237",
        "symbol": "formal reset-idempotence count",
        "exact_form": "all 8 complete maps satisfy R o iota o R = R",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / IDEMPOTENCE HAS ZERO DISCRIMINATION",
        "next_gate": "do not use idempotence as independent POC1 support",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "formal reset-idempotence count",
        "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: do not use idempotence as independent POC1 support",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q238",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q238",
        "symbol": "symmetric monotone complete response classification",
        "exact_form": "exactly R0,R2,R1,Rtop",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / FOUR MEMORYLESS RESPONSE LAWS",
        "next_gate": "additional selector required",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "symmetric monotone complete response classification",
        "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: additional selector required Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q239",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q239",
        "symbol": "POC1 least-response theorem",
        "exact_form": "R_POC1=pointwise least complete response; argmin_{q>=omega} w_H(q)=omega",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / ORDER-THEORETIC CHARACTERIZATION",
        "next_gate": "derivation of least-response selection remains open",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "POC1 least-response theorem",
        "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: derivation of least-response selection remains open Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q240",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q240",
        "symbol": "minimal-state ambiguity",
        "exact_form": "minimal open count=>POC1; minimal gate change on sink=>hold-open; minimal theta Hamming=>fully open",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / UNTYPED MINIMALITY CANNOT SELECT RESPONSE",
        "next_gate": "specify independently sourced objective",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "minimal-state ambiguity",
        "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: specify independently sourced objective",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q241",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q241",
        "symbol": "pair-local response classification",
        "exact_form": "g(1)=1 leaves g(0)=0 POC1 or g(0)=1 fully-open",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / PAIR LOCALITY DOES NOT CLOSE NO-IDLE BIT",
        "next_gate": "derive g(0) from new principle",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "pair-local response classification",
        "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: derive g(0) from new principle",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q242",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q242",
        "symbol": "gate-history composition nonuniqueness",
        "exact_form": "close-on-sink and hold-on-sink both local symmetric deterministic repeated-idempotent commuting rules",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / ORDINARY COMPOSITION DOES NOT SELECT CLOSURE",
        "next_gate": "zero-holonomy or other response principle required",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "gate-history composition nonuniqueness",
        "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: zero-holonomy or other response principle required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q243",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q243",
        "symbol": "zero-holonomy sink closure",
        "exact_form": "source-state loop return=>gate-state loop return forces close-on-sink for elementary 0->1->0 loop",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "CANDIDATE / WOULD SUPPORT CLOSURE BUT IS NOT CURRENT NATIVE THEOREM",
        "next_gate": "derive global gate-loop return independently",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "zero-holonomy sink closure",
        "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: derive global gate-loop return independently",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q244",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q244",
        "symbol": "recurrence response selector",
        "exact_form": "chain/source recurrence plus memoryless response does not distinguish R0,R2,R1,Rtop",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / RECURRENCE DOES NOT UNIQUELY SELECT POC1",
        "next_gate": "new coupling between chain recurrence and gate state required",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "recurrence response selector",
        "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: new coupling between chain recurrence and gate state required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O40",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O40",
        "symbol": "closure-economy derivation status",
        "exact_form": "POC1 characterized as least complete response; least-element selection remains constitutive",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / SINGLE EARLIEST RESPONSE GAP RETAINED",
        "next_gate": "derive/test least-response selection",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "closure-economy derivation status",
        "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: derive/test least-response selection",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q245",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q245",
        "symbol": "N_open(q)",
        "exact_form": "6-2w_H(theta)=2w_H(q)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT HARD OPEN-SLOT COUNT",
        "next_gate": "no existing minimization law",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "N_open(q)",
        "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: no existing minimization law Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q246",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q246",
        "symbol": "open-slot minimizer under completeness",
        "exact_form": "argmin_{q>=omega} N_open(q)=omega",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT LEAST-RESPONSE SCALAR CHARACTERIZATION",
        "next_gate": "cannot count as independent closure-economy derivation",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "open-slot minimizer under completeness",
        "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: cannot count as independent closure-economy derivation Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q247",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q247",
        "symbol": "quadratic burden response direction",
        "exact_form": "R_B=(1/4) sum q_p W_p^B2 is currently maximized under fixed Hamming",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / GENERIC POSITIVE BURDEN REWARD FAVORS OPENNESS",
        "next_gate": "do not reverse sign post hoc",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "quadratic burden response direction",
        "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: do not reverse sign post hoc",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q248",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q248",
        "symbol": "reversed burden cost candidate",
        "exact_form": "min sum q_p W_p gives q=omega only for strictly positive idle weights; zero weights yield ties",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "AUTO_FREEZE AS RETROACTIVE DERIVATION / NEW RESPONSE COST IF EVER USED",
        "next_gate": "independent sign/direction theorem required",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "reversed burden cost candidate",
        "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: independent sign/direction theorem required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q249",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q249",
        "symbol": "burden relaxation power vs response",
        "exact_form": "-dot E_B=(1/4) sum_e q_p(e)T_e(B^Tb)_e^2",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / STEEPEST BURDEN RELAXATION FAVORS ADDITIONAL OPEN GRADIENT LANES",
        "next_gate": "cannot derive closure economy",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "burden relaxation power vs response",
        "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: cannot derive closure economy",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q250",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q250",
        "symbol": "canonical Hodge action gate-response dependence",
        "exact_form": "current J_nu=pi||P_nu x||^2 has no q/H response argument",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / CURRENT ACTION IS RESPONSE-BLIND",
        "next_gate": "new gate-masked action would require separate derivation",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "canonical Hodge action gate-response dependence",
        "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: new gate-masked action would require separate derivation",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q251",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q251",
        "symbol": "fixed-cardinality completeness",
        "exact_form": "q>=omega and w_H(q)=w_H(omega) => q=omega",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / BURDEN ADDRESS OPTIMIZER UNNEEDED ONCE SHELL EQUALITY IS GIVEN",
        "next_gate": "derive shell response independently",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "fixed-cardinality completeness",
        "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: derive shell response independently Exact source status is not a new proof audit or physical identification. Consult ARA02 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA02"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q252",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q252",
        "symbol": "post-event action/contraction as pre-event selector",
        "exact_form": "lifted loop action and D_evt are source-late for q selection",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / CAUSAL ORDER BLOCK",
        "next_gate": "pre-event predictive bridge required",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "post-event action/contraction as pre-event selector",
        "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: pre-event predictive bridge required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q253",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q253",
        "symbol": "integrity/open-slot fraction response selector",
        "exact_form": "Q_T,T_e filter admissibility; g_hard maximization favors openness; no minimization law",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / INTEGRITY IS NOT CLOSURE COST",
        "next_gate": "independent gate-cost law required",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "integrity/open-slot fraction response selector",
        "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: independent gate-cost law required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q254",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q254",
        "symbol": "native response functional closure status",
        "exact_form": "no existing independently directed burden/action/gate scalar selects least complete response",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / FUNCTIONAL ROUTE CURRENTLY CLOSED",
        "next_gate": "derive new upstream cost/order or test response empirically",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "native response functional closure status",
        "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: derive new upstream cost/order or test response empirically",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O41",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O41",
        "symbol": "earliest response theorem gap after functional audit",
        "exact_form": "derive optimization direction for least response; scalar form N_open already exact but direction open",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / CLOSURE-ECONOMY GAP REDUCED TO SELECTION DIRECTION",
        "next_gate": "new source principle or held-out discrimination",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "earliest response theorem gap after functional audit",
        "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: new source principle or held-out discrimination",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q255",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q255",
        "symbol": "typed zero triad",
        "exact_form": "0_Omega=000, 0_Q=000, 0_Theta=000 are distinct typed objects",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EQUAL BIT TRIPLES DO NOT IMPLY EQUAL ZERO OBJECTS",
        "next_gate": "explicit cross-type bridge required",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "typed zero triad",
        "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: explicit cross-type bridge required Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q256",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q256",
        "symbol": "Theta-zero gate image",
        "exact_form": "q=1-theta gives 0_Theta -> 111_Q and 0_Q -> 111_Theta",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / THETA REFERENCE ZERO IS FULLY GATE-OPEN",
        "next_gate": "none internally",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "Theta-zero gate image",
        "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none internally Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q257",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q257",
        "symbol": "breathing restore as gate selector",
        "exact_form": "current compress-orient-evaluate-act-record-restore source provides no q response projection",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / PROCEDURAL RESTORE NONSELECTION",
        "next_gate": "new typed restore law required",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "breathing restore as gate selector",
        "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: new typed restore law required Consult ARA05 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA05"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q258",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q258",
        "symbol": "history-preserving restore",
        "exact_form": "q_plus=q_prev OR omega_plus",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / COMPLETE MONOTONE IDEMPOTENT HOLD-ON-SINK RESTORE",
        "next_gate": "not POC1 closure response",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "history-preserving restore",
        "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: not POC1 closure response Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q259",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q259",
        "symbol": "least-current-support reset",
        "exact_form": "min_{q>=omega} q = omega / argmin Hamming gives POC1",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT BUT CLOSURE-ECONOMY-EQUIVALENT RESET",
        "next_gate": "optimization direction not independently derived",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "least-current-support reset",
        "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: optimization direction not independently derived Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q260",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q260",
        "symbol": "completed-event saturation as derivation",
        "exact_form": "POC1 saturation receipt q=omega cannot independently prove q=omega",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / CIRCULARITY FIREWALL",
        "next_gate": "retain saturation as domain/test receipt",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "completed-event saturation as derivation",
        "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: retain saturation as domain/test receipt",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q261",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q261",
        "symbol": "pair-local zero-source-silence uniqueness",
        "exact_form": "pair locality + completeness + R(0_Omega)=0_Q => q=omega",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / ZERO-SILENCE HINGE",
        "next_gate": "derive typed zero bridge independently",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "pair-local zero-source-silence uniqueness",
        "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive typed zero bridge independently",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q262",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q262",
        "symbol": "Theta-reference restore vs POC1",
        "exact_form": "restore theta->000 implies q->111, not q=omega generally",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / REFERENCE RESTORE DOES NOT SUPPORT CLOSURE ECONOMY",
        "next_gate": "do not conflate reference zero and gate zero",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "Theta-reference restore vs POC1",
        "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: do not conflate reference zero and gate zero",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q263",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q263",
        "symbol": "structured-zero cross-type bridge status",
        "exact_form": "no audited source theorem establishes 0_Omega -> 0_Q",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / ZERO BRIDGE SOURCE GAP",
        "next_gate": "derive typed zero-source-silence law",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "structured-zero cross-type bridge status",
        "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: derive typed zero-source-silence law",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q264",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q264",
        "symbol": "restore-semantic trilemma",
        "exact_form": "Theta-reference restore=>111; history restore=>q_prev OR omega; least-current reset=>omega",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / WORD RESTORE IS RESPONSE-UNDERDETERMINED",
        "next_gate": "carrier-specific restore semantics required",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "restore-semantic trilemma",
        "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: carrier-specific restore semantics required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O42",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O42",
        "symbol": "earliest response gap after zero/restore audit",
        "exact_form": "derive why 0 viable lanes imply 0 open gates on typed Q carrier",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / SINGLE ZERO-SOURCE-SILENCE HINGE",
        "next_gate": "structured-zero theorem or held-out response discrimination",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "earliest response gap after zero/restore audit",
        "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: structured-zero theorem or held-out response discrimination",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q265",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q265",
        "symbol": "R0 response model",
        "exact_form": "q=omega",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "FROZEN PRETARGET / POC1 PRIMARY RESPONSE",
        "next_gate": "blinded endpoint test",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "R0 response model",
        "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "FROZEN CANDIDATE — NO EMPIRICAL SCORE",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: blinded endpoint test Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q266",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q266",
        "symbol": "R2 response model",
        "exact_form": "q=omega for w<=1; q=111 for w>=2",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "FROZEN PRETARGET ALTERNATIVE",
        "next_gate": "blinded endpoint test",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "R2 response model",
        "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "FROZEN CANDIDATE — NO EMPIRICAL SCORE",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: blinded endpoint test Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q267",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q267",
        "symbol": "R1 response model",
        "exact_form": "q=000 for w=0; q=111 for w>=1",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "FROZEN PRETARGET ALTERNATIVE",
        "next_gate": "blinded endpoint test",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "R1 response model",
        "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "FROZEN CANDIDATE — NO EMPIRICAL SCORE",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: blinded endpoint test Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q268",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q268",
        "symbol": "Rtop response model",
        "exact_form": "q=111",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "FROZEN PRETARGET ALTERNATIVE",
        "next_gate": "blinded endpoint test",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "Rtop response model",
        "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "FROZEN CANDIDATE — NO EMPIRICAL SCORE",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: blinded endpoint test Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q269",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q269",
        "symbol": "MTA response model",
        "exact_form": "q_p=1[G_p>0], G_p=sum T_e Lambda_e^S",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "FROZEN PRETARGET ALTERNATIVE / G MUST RESOLVE",
        "next_gate": "partial-integrity held-out test",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "MTA response model",
        "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "FROZEN CANDIDATE — NO EMPIRICAL SCORE",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: partial-integrity held-out test Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q270",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q270",
        "symbol": "omega-shell model discrimination",
        "exact_form": "w0,w1,w2 each split omega-only models; w3 is nondiscriminating",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT RESPONSE EQUIVALENCE CLASSES",
        "next_gate": "none internally",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "omega-shell model discrimination",
        "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none internally Exact source status is not a new proof audit or physical identification. Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q271",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q271",
        "symbol": "partial-integrity model discriminator",
        "exact_form": "omega_p=0 and G_p>0 => R0 q_p=0 while MTA q_p=1",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / TARGET-BLIND POC1-MTA DISCRIMINATOR",
        "next_gate": "held-out endpoint",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "partial-integrity model discriminator",
        "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: held-out endpoint Exact source status is not a new proof audit or physical identification. Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O43",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O43",
        "symbol": "multi-model sidecar freeze",
        "exact_form": "R0,R2,R1,Rtop,MTA registry frozen pretarget",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_LOCK / NO MODEL ADDITION AFTER ENDPOINT",
        "next_gate": "activate only under versioned lab amendment",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "multi-model sidecar freeze",
        "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: activate only under versioned lab amendment Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O44",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O44",
        "symbol": "primary POC1 verdict nonmutation",
        "exact_form": "sidecar cannot alter/repair already-sent POC1 primary verdict",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_LOCK / PRIMARY FIREWALL",
        "next_gate": "preserve separate score receipts",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "primary POC1 verdict nonmutation",
        "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: preserve separate score receipts Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O45",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O45",
        "symbol": "multi-model empirical status",
        "exact_form": "PRETARGET FROZEN / NOT DISTRIBUTED TO LABS / NO ENDPOINT DATA",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / NO EMPIRICAL RESULT",
        "next_gate": "versioned distribution or future run",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "multi-model empirical status",
        "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "HISTORICAL STATUS — LATER DISTRIBUTION AMENDMENT",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: versioned distribution or future run Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q272",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q272",
        "symbol": "P2 zero-source certificate",
        "exact_form": "P2 c=0 => c1=0 => omega=0_Omega",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / ACTIVE-HODGE ANNIHILATION IMPLIES LATENT SOURCE ZERO",
        "next_gate": "gate response separately gated",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "P2 zero-source certificate",
        "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: gate response separately gated Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q273",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q273",
        "symbol": "global gate degeneracy at P2 c=0",
        "exact_form": "Phi_e^S=0 for all 8 q masks and all integrity masks",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / ZERO ACTIVE SOURCE MAKES GATE UNIDENTIFIABLE",
        "next_gate": "independent zero-response principle required",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "global gate degeneracy at P2 c=0",
        "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: independent zero-response principle required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q274",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q274",
        "symbol": "pair-projector annihilation",
        "exact_form": "P_p^(1)c1=0 => L_p=omega_p=0",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / PAIR SUPPORT ZERO CERTIFICATE",
        "next_gate": "q_p separately gated",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "pair-projector annihilation",
        "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: q_p separately gated Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q275",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q275",
        "symbol": "pair gate degeneracy on projector kernel",
        "exact_form": "P_p^(1)c1=0 => pair throughput identical for q_p=0,1",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / PAIR PROJECTOR DOES NOT SELECT CLOSURE",
        "next_gate": "independent response selector required",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "pair gate degeneracy on projector kernel",
        "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: independent response selector required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q276",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q276",
        "symbol": "bilinear source annihilator",
        "exact_form": "R_p=0 can hold with P_p^(1)c1 !=0 when endpoint support vanishes",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / SOURCE ANNIHILATOR BROADER THAN LINEAR PROJECTOR KERNEL",
        "next_gate": "factor provenance preserved",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "bilinear source annihilator",
        "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: factor provenance preserved Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q277",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q277",
        "symbol": "zero contact projector inversion",
        "exact_form": "Xi_e P_e,w=0 not=> q_p=0 because Xi factors q,T,c1,c0-support",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / CONTACT ZERO FACTOR-NONIDENTIFIABILITY",
        "next_gate": "do not backsolve closure",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "zero contact projector inversion",
        "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: do not backsolve closure",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q278",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q278",
        "symbol": "gate-masked support flat direction",
        "exact_form": "if gate-difference coordinates annihilate y then Hy=H'y and S_mu,H=S_mu,H'",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / SUPPORT FUNCTIONAL FLAT ON ANNIHILATED GATE DIRECTIONS",
        "next_gate": "new selector required",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "gate-masked support flat direction",
        "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: new selector required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q279",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q279",
        "symbol": "Hodge ray projector zero extension",
        "exact_form": "Q_[x] has no ray-independent continuous extension at x=0",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / CANNOT DEFINE ZERO PROJECTOR FROM NONZERO-RAY FORMULA",
        "next_gate": "new convention would require versioned addendum",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "Hodge ray projector zero extension",
        "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: new convention would require versioned addendum",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q280",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q280",
        "symbol": "multiplicative gate null-direction theorem",
        "exact_form": "K_p(s)=0 in F=F_rest+q_p K_p => F(q_p=0)=F(q_p=1)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / GENERAL GATE-UNIDENTIFIABILITY ON SOURCE ANNIHILATOR",
        "next_gate": "applies to route/support/burden gated observables",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "multiplicative gate null-direction theorem",
        "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: applies to route/support/burden gated observables Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q281",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q281",
        "symbol": "annihilator-silence response",
        "exact_form": "omega_p=0 => q_p=0",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "CANDIDATE / EQUIVALENT TO ZERO-SOURCE SILENCE ON PAIR-LOCAL DOMAIN",
        "next_gate": "independent theorem required",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "annihilator-silence response",
        "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: independent theorem required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O46",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O46",
        "symbol": "projector zero-bridge status",
        "exact_form": "SUPPORT ZERO CERTIFICATE CLOSED; GATE ZERO RESPONSE NOT DERIVED",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / PROJECTOR ROUTE CLOSED AS NATIVE DERIVATION",
        "next_gate": "empirical discrimination or new independent response principle",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "projector zero-bridge status",
        "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: empirical discrimination or new independent response principle",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O47",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O47",
        "symbol": "multi-model sidecar external distribution",
        "exact_form": "same frozen v0.1 sidecar sent to UdeG, IPN, URJC",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_LOCK / THREE-LAB PRETARGET DISTRIBUTION",
        "next_gate": "lab acknowledgement/activation before scored use",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "multi-model sidecar external distribution",
        "reconciliation_notes": "v0.58 sidecar three-lab distribution; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: lab acknowledgement/activation before scored use Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O48",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O48",
        "symbol": "multi-model sidecar primary-protocol firewall",
        "exact_form": "supplement does not modify primary POC1 protocol, scorer, custody or verdict",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_LOCK / PRIMARY NONMUTATION",
        "next_gate": "preserve separate freeze/score receipts",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "multi-model sidecar primary-protocol firewall",
        "reconciliation_notes": "v0.58 sidecar three-lab distribution; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: preserve separate freeze/score receipts Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O49",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O49",
        "symbol": "multi-model external empirical status",
        "exact_form": "DISTRIBUTED / NO LAB ACTIVATION / NO ENDPOINT DATA",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / NO EMPIRICAL RESULT",
        "next_gate": "direct lab response and versioned activation",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "multi-model external empirical status",
        "reconciliation_notes": "v0.58 sidecar three-lab distribution; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: direct lab response and versioned activation Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O50",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O50",
        "symbol": "response-theorem internal frontier checkpoint",
        "exact_form": "current response-selector route catalog consolidated and frozen against reformulation",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / INTERNAL RESPONSE FRONTIER v1.0 FROZEN",
        "next_gate": "reopen only under explicit re-entry condition",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "response-theorem internal frontier checkpoint",
        "reconciliation_notes": "v0.59 response-theorem frontier checkpoint; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: reopen only under explicit re-entry condition",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O51",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O51",
        "symbol": "closure-economy reformulation family",
        "exact_form": "least response / no-idle-open / min open count / max closure / least-support restore treated as one unresolved family",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_FREEZE / REFORMULATION NONINDEPENDENCE",
        "next_gate": "new source theorem required",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "closure-economy reformulation family",
        "reconciliation_notes": "v0.59 response-theorem frontier checkpoint; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: new source theorem required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O52",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O52",
        "symbol": "response-frontier re-entry gate",
        "exact_form": "requires new q dynamics, typed zero bridge, gate holonomy, independently directed functional, new receipt, or new blinded evidence",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "AUTO_LOCK / GENUINE-NEWNESS ADMISSION",
        "next_gate": "audit every future internal response route",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "response-frontier re-entry gate",
        "reconciliation_notes": "v0.59 response-theorem frontier checkpoint; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: audit every future internal response route",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O53",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O53",
        "symbol": "active response-selection frontier",
        "exact_form": "internal selector unresolved; frozen five-model external discrimination is primary independent route",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / EXTERNAL BLINDED FRONTIER ACTIVE",
        "next_gate": "lab feasibility reply then blinded acquisition",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "active response-selection frontier",
        "reconciliation_notes": "v0.59 response-theorem frontier checkpoint; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: lab feasibility reply then blinded acquisition Consult ARA04 before extending or reusing this statement.",
      "amendment_ids": [
        "ARA04"
      ],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q282",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q282",
        "symbol": "alpha_A specific native action-phase scale",
        "exact_form": "S_native/(a Delta_phi)=A0/2",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / SINGLE-K4 ACTIVE-SECTOR EXACT",
        "next_gate": "physical hbar identification separately gated",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "alpha_A specific native action-phase scale",
        "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: physical hbar identification separately gated Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q283",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q283",
        "symbol": "K4 active spectral Hamiltonian",
        "exact_form": "H_Hodge=(1/2)<x,Omega x>=a on E2",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / OMEGA=2P2",
        "next_gate": "physical energy map separately gated",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "K4 active spectral Hamiltonian",
        "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: physical energy map separately gated Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q284",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q284",
        "symbol": "native Hodge phase rate",
        "exact_form": "Delta_phi/dt=2/tau0 under t=tau0 s",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / NATIVE TIME DIMENSIONALIZATION",
        "next_gate": "physical clock identification open",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "native Hodge phase rate",
        "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: physical clock identification open",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q285",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q285",
        "symbol": "energy-frequency specific action cross-check",
        "exact_form": "E_native/(a omega_phase)=A0/2",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK / INDEPENDENT CROSS-CHECK OF Q282",
        "next_gate": "physical energy/time identity open",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "energy-frequency specific action cross-check",
        "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: physical energy/time identity open",
      "amendment_ids": [],
      "explicit_references": [
        {
          "ref_id": "Q282",
          "field": "status",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q286",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q286",
        "symbol": "normalized-ray recurrence action",
        "exact_form": "a=1 => S_spinor,rec^native=pi A0",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXPLICIT PROJECTIVE REPRESENTATIVE / NOT SUPPORT QUANTIZATION",
        "next_gate": "physical normalized-state bridge open",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "normalized-ray recurrence action",
        "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: physical normalized-state bridge open Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q287",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q287",
        "symbol": "QPB1 action-phase bridge",
        "exact_form": "normalized Hodge ray + J complex structure + phase map; hbar <-> A0/2",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "FROZEN POSTULATED_BRIDGE / BML-1 / ZERO FIT PARAMETERS",
        "next_gate": "independent non-hbar A0 anchor",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "QPB1 action-phase bridge",
        "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "FROZEN CANDIDATE — NO EMPIRICAL SCORE",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: independent non-hbar A0 anchor",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q288",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q288",
        "symbol": "QPB1 eta_A prediction",
        "exact_form": "eta_A=A0/hbar=2=2/1",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "FROZEN PRETARGET BRIDGE PREDICTION / NUMERICAL HBAR NOT USED",
        "next_gate": "score after independent A0 anchor",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "QPB1 eta_A prediction",
        "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "FROZEN CANDIDATE — NO EMPIRICAL SCORE",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: score after independent A0 anchor",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q289",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q289",
        "symbol": "QPB1 convention aliases",
        "exact_form": "xi_native/phys=2; xi_phys/native=1/2 inside QPB1 only",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL ON QPB1 / BARE xi_hbar REMAINS FROZEN",
        "next_gate": "do not rewrite historical provenance",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "QPB1 convention aliases",
        "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: do not rewrite historical provenance",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O54",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O54",
        "symbol": "action-phase frontier status",
        "exact_form": "native specific action-phase scale CLOSED; physical hbar identification POSTULATED; A0 physical anchor OPEN",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / INDEPENDENT OF POC1 RESPONSE FRONTIER",
        "next_gate": "derive non-hbar A0 anchor",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "action-phase frontier status",
        "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: derive non-hbar A0 anchor",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O55",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O55",
        "symbol": "QPB1 independent test preregistration",
        "exact_form": "freeze eta_A=2 before independent A0 physical anchor",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "FROZEN PRETARGET / NO EMPIRICAL SCORE",
        "next_gate": "future non-hbar action-anchor packet",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "QPB1 independent test preregistration",
        "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: future non-hbar action-anchor packet",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q290",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q290",
        "symbol": "K4 burden positive-affine symmetry",
        "exact_form": "b -> lambda b + beta 1, lambda>0, preserves homogeneous burden flow",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT FOR ANY HARD GATE MASK",
        "next_gate": "source initial burden normalization remains external to flow",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "K4 burden positive-affine symmetry",
        "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: source initial burden normalization remains external to flow Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q291",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q291",
        "symbol": "uniform burden zero-mode",
        "exact_form": "D_B(H)1=0 and mean burden conserved",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / ABSOLUTE BURDEN OFFSET UNSELECTED BY MIXING",
        "next_gate": "background/zero receipt required",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "uniform burden zero-mode",
        "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: background/zero receipt required Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q292",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q292",
        "symbol": "burden multiplicative normalization no-go",
        "exact_form": "topology + homogeneous mixing + normalized shape do not fix lambda",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / ABSOLUTE BURDEN SCALE NONIDENTIFIABLE",
        "next_gate": "independent burden-unit source required",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "burden multiplicative normalization no-go",
        "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: independent burden-unit source required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q293",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q293",
        "symbol": "minimality normalization no-go",
        "exact_form": "positive-affine transformation preserves lower-burden ordering",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / COMPETITOR EXCLUSION DOES NOT FIX NUMERIC ANCHOR",
        "next_gate": "source burden normalization required",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "minimality normalization no-go",
        "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: source burden normalization required",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q294",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q294",
        "symbol": "matched-background excess burden",
        "exact_form": "B_X^exc=1^T(b_X-b_bg); uniform-shift invariant and conserved under homogeneous mixing",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / ADDITIVE-GAUGE-INVARIANT DEFECT BURDEN",
        "next_gate": "multiplicative normalization still open",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "matched-background excess burden",
        "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: multiplicative normalization still open",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q295",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q295",
        "symbol": "B_e correction decomposition",
        "exact_form": "B_e=101/6+DeltaB_frame+DeltaB_closure+DeltaB_holonomy+DeltaB_transport-DeltaB_coherence",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / GOVERNED MATTER-RAIL DECOMPOSITION",
        "next_gate": "derive every correction source-completely",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "B_e correction decomposition",
        "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: derive every correction source-completely Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q296",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q296",
        "symbol": "BE0 baseline candidate",
        "exact_form": "B_e=101/6 iff Delta_B_net=0",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "FROZEN TARGET-BLIND / ZERO EMPIRICAL TARGET INPUT",
        "next_gate": "score only after correction ledger complete",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "BE0 baseline candidate",
        "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: score only after correction ledger complete",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q297",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q297",
        "symbol": "H_seed factor/clock structure",
        "exact_form": "101/6=2^4+1-1/(2*3); 101 prime; 101=16*6+5; 101 mod 6=5",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / ARITHMETIC ONLY / NO PHYSICAL IDENTITY",
        "next_gate": "none internally",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "H_seed factor/clock structure",
        "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none internally Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O56",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O56",
        "symbol": "B_e source completeness",
        "exact_form": "H_seed CLOSED; five correction laws SOURCE_INCOMPLETE; numerical B_e OPEN",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / NO NUMERICAL B_e PROMOTION",
        "next_gate": "construct correction ledger target-blind",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "B_e source completeness",
        "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: construct correction ledger target-blind",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O57",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O57",
        "symbol": "B_e correction-ledger protocol",
        "exact_form": "unresolved correction != zero; all terms require provenance/sign/normalization/conjugation/competitor checks",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "FROZEN PRE-CORRECTION",
        "next_gate": "execute source-complete correction derivations",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "B_e correction-ledger protocol",
        "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: execute source-complete correction derivations",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q298",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q298",
        "symbol": "direct frame mixing correction",
        "exact_form": "Delta_B_frame^mix=0 at fixed B,H(s),b(0)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / CURRENT BURDEN GENERATOR HAS NO M_sigma ARGUMENT",
        "next_gate": "static/topological framing burden remains open",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "direct frame mixing correction",
        "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: static/topological framing burden remains open Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q299",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q299",
        "symbol": "direct holonomy mixing correction",
        "exact_form": "Delta_B_holonomy^mix=0 at fixed B,H(s),b(0)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / CURRENT BURDEN GENERATOR HAS NO LOOP-HOLONOMY ARGUMENT",
        "next_gate": "static/topological holonomy burden remains open",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "direct holonomy mixing correction",
        "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: static/topological holonomy burden remains open Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q300",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q300",
        "symbol": "odd-framing indicator",
        "exact_form": "p_sigma=(1-M_sigma)/2 in {0,1}",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / TYPED FRAMING RECEIPT",
        "next_gate": "not a burden value",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "odd-framing indicator",
        "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: not a burden value Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q301",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q301",
        "symbol": "pure Z2 framing correction family",
        "exact_form": "Delta_B_frame^(Z2)=kappa_frame p_sigma if class-only and trivial-frame zero",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / SHAPE CLOSED, AMPLITUDE OPEN",
        "next_gate": "derive kappa_frame source-completely",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "pure Z2 framing correction family",
        "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive kappa_frame source-completely",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q302",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q302",
        "symbol": "endpoint holonomy inversion symmetry",
        "exact_form": "Phi_hat_R(U^-1)=Phi_hat_R(U) for unitary representation",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / CONJUGATION-EVEN STRUCTURAL DEFECT",
        "next_gate": "not a burden coefficient",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "endpoint holonomy inversion symmetry",
        "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: not a burden coefficient Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q303",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q303",
        "symbol": "scalar Z2 holonomy indicator",
        "exact_form": "p_H=Phi_hat_R/2; p_H=0 trivial,1 odd scalar one-cycle",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / SCALAR Z2 CARRIER ONLY",
        "next_gate": "not a burden value",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "scalar Z2 holonomy indicator",
        "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: not a burden value",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q304",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q304",
        "symbol": "pure scalar-Z2 holonomy correction family",
        "exact_form": "Delta_B_holonomy^(Z2)=kappa_hol p_H if class-only and trivial-holonomy zero",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / SHAPE CLOSED, AMPLITUDE OPEN",
        "next_gate": "derive kappa_hol source-completely",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "pure scalar-Z2 holonomy correction family",
        "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive kappa_hol source-completely",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q305",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q305",
        "symbol": "frame-holonomy correction decomposition identifiability",
        "exact_form": "current odd scalar carrier has feature row (1,1), rank1; cannot separately identify two coefficients",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / NEED INDEPENDENT CONTROL CARRIERS",
        "next_gate": "construct rank-2 framing/holonomy controls",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "frame-holonomy correction decomposition identifiability",
        "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: construct rank-2 framing/holonomy controls",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q306",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q306",
        "symbol": "endpoint defect to burden/action reuse",
        "exact_form": "Q35/QPB1 action normalization does not supply holonomy burden coefficient",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / TYPED ACTION/BURDEN FIREWALL",
        "next_gate": "derive separate burden-holonomy bridge",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "endpoint defect to burden/action reuse",
        "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: derive separate burden-holonomy bridge",
      "amendment_ids": [],
      "explicit_references": [
        {
          "ref_id": "Q35",
          "field": "exact_form",
          "namespace": "coefficient-ledger-reference",
          "in_ledger": true,
          "kind": "explicit text reference; dependency role not inferred"
        }
      ],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O58",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O58",
        "symbol": "frame/holonomy correction status",
        "exact_form": "direct mixing subterms ZERO; static/topological kappa_frame,kappa_hol OPEN",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / PARTIAL CORRECTION-LANE CLOSURE",
        "next_gate": "derive independent controls and amplitudes",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "frame/holonomy correction status",
        "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: derive independent controls and amplitudes",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O59",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O59",
        "symbol": "frame/holonomy correction identification protocol",
        "exact_form": "rank-2 feature controls required to separate kappa_frame and kappa_hol; zero only by theorem",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "FROZEN PRE-COEFFICIENT",
        "next_gate": "source independent framing/holonomy controls",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "frame/holonomy correction identification protocol",
        "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: source independent framing/holonomy controls",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q307",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q307",
        "symbol": "odd one-cycle frame/holonomy feature",
        "exact_form": "(p_sigma,p_H)=(1,1)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / ODD SCALAR ONE-CYCLE CONTROL",
        "next_gate": "none internally",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "odd one-cycle frame/holonomy feature",
        "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none internally Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q308",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q308",
        "symbol": "odd two-cycle frame/holonomy feature",
        "exact_form": "(p_sigma,p_H)=(1,0) with intrinsic odd framing fixed",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / DOUBLED-HISTORY CONTROL",
        "next_gate": "do not relabel as even framing",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "odd two-cycle frame/holonomy feature",
        "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: do not relabel as even framing Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q309",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q309",
        "symbol": "rank-2 frame-holonomy history matrix",
        "exact_form": "X=[[1,1],[1,0]], det=-1, rank=2",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT IDENTIFIABILITY MATRIX",
        "next_gate": "requires matched burden residuals for coefficient scoring",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "rank-2 frame-holonomy history matrix",
        "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: requires matched burden residuals for coefficient scoring Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q310",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q310",
        "symbol": "rank-2 coefficient inversion",
        "exact_form": "kappa_frame=y2; kappa_hol=y1-y2",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / TWO-FEATURE MATCHED RESIDUAL MODEL",
        "next_gate": "source y1,y2 without target fitting",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "rank-2 coefficient inversion",
        "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: source y1,y2 without target fitting",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q311",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q311",
        "symbol": "static endpoint-defect holonomy burden",
        "exact_form": "same-state traversal invariance y1=y2 => kappa_hol=0",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / ENDPOINT-DEFECT-ONLY STATIC BURDEN COEFFICIENT ZERO UNDER SAME-STATE MODE",
        "next_gate": "richer holonomy burden object may remain",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "static endpoint-defect holonomy burden",
        "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: richer holonomy burden object may remain",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q312",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q312",
        "symbol": "higher-winding use of rank-2 control",
        "exact_form": "two-cycle state can isolate holonomy only after all other winding-dependent burden differences are matched",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / CONTROL LEDGER REQUIRED",
        "next_gate": "derive higher-winding matched ledger",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "higher-winding use of rank-2 control",
        "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive higher-winding matched ledger",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q313",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q313",
        "symbol": "even-framed carrier rank-2 criterion",
        "exact_form": "X=[[1,h_odd],[0,h_even]] rank2 iff h_even !=0",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / CONTROL DESIGN THEOREM",
        "next_gate": "construct source-valid h_even nonzero carrier",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "even-framed carrier rank-2 criterion",
        "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: construct source-valid h_even nonzero carrier Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q314",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q314",
        "symbol": "even-framed primitive-winding control",
        "exact_form": "M_sigma=+1 with matched primitive winding and source-resolved nonzero holonomy",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "CANDIDATE CONTROL / REQUIRED CLASS EXISTS, HOLONOMY SOURCE OPEN",
        "next_gate": "source construct and validate carrier",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "even-framed primitive-winding control",
        "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: source construct and validate carrier",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O60",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O60",
        "symbol": "frame-holonomy rank2 control status",
        "exact_form": "EXACT history-control rank2 CLOSED; independent carrier-control rank2 OPEN",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / CONTROL DISTINCTION",
        "next_gate": "obtain matched residual burden or even-framed carrier",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "frame-holonomy rank2 control status",
        "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: obtain matched residual burden or even-framed carrier",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O61",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O61",
        "symbol": "rank2 control scoring protocol",
        "exact_form": "same-state diagnostic and higher-winding carrier modes must not be mixed",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "FROZEN / TWO-MODE FIREWALL",
        "next_gate": "apply source-complete mode-specific score",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "rank2 control scoring protocol",
        "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: apply source-complete mode-specific score",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q315",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q315",
        "symbol": "direct closure mixing total-burden correction",
        "exact_form": "Delta_B_closure^mix,total=0 for arbitrary hard gate history",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / TOTAL BURDEN CONSERVATION",
        "next_gate": "static closure burden remains open",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "direct closure mixing total-burden correction",
        "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: static closure burden remains open Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q316",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q316",
        "symbol": "closure deficit receipts",
        "exact_form": "N_closed=2 w_H(theta); c_cl=w_H(theta)/3",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT CLOSURE FEATURES",
        "next_gate": "not burden values",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "closure deficit receipts",
        "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: not burden values Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q317",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q317",
        "symbol": "S3-invariant static closure family",
        "exact_form": "Delta_B_closure^static=f_cl(w), f_cl(0)=0; three nontrivial shell values remain",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / SYMMETRY DOES NOT FIX ONE COEFFICIENT",
        "next_gate": "derive shell law or additivity",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "S3-invariant static closure family",
        "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: derive shell law or additivity",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q318",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q318",
        "symbol": "pair-additive closure burden candidate",
        "exact_form": "Delta_B_closure=kappa_cl w_H(theta) under equal-pair additivity",
        "claim_bin": "QUARANTINED_CANDIDATE",
        "status": "CANDIDATE / ADDITIVITY NOT DERIVED",
        "next_gate": "derive kappa_cl and actual C3_7 closure branch",
        "use_class": "QUARANTINED",
        "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.",
        "display_symbol": "pair-additive closure burden candidate",
        "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CANDIDATE — UNTESTED / HELD",
      "reuse_limit": "Retain the original QUARANTINED_CANDIDATE claim only within its stated source premises. Current reopening/next gate: derive kappa_cl and actual C3_7 closure branch",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q319",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q319",
        "symbol": "direct transport gate-mixing total-burden correction",
        "exact_form": "Delta_B_transport^gate-mix,total=0 for arbitrary integrity gate history",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / GATE CHANGES REDISTRIBUTION NOT TOTAL",
        "next_gate": "transport residual cross-carrier map open",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "direct transport gate-mixing total-burden correction",
        "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: transport residual cross-carrier map open Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q320",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q320",
        "symbol": "unitary transport loss null",
        "exact_form": "U^dagger U=I => Q_T=0, ell_T=0, D_evt=0",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / LOSS-ASSOCIATED TRANSPORT NULL",
        "next_gate": "reversible transport burden separately typed",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "unitary transport loss null",
        "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: reversible transport burden separately typed Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q321",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q321",
        "symbol": "transport receipt to burden map",
        "exact_form": "{Q_T,ell_T,D_evt,rank loss} not=> Delta_B_transport without M_T_to_B",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / TRANSPORT-BURDEN TYPE FIREWALL",
        "next_gate": "derive receipt/aggregation/intertwiner",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "transport receipt to burden map",
        "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: derive receipt/aggregation/intertwiner",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q322",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q322",
        "symbol": "direct coherence mixing total-burden correction",
        "exact_form": "Delta_B_coherence^mix,total=0 because K_ctx/sigma_E/V_alpha absent from D_B(H)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / CURRENT BURDEN FLOW CONTEXT-BLIND",
        "next_gate": "residual context burden open",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "direct coherence mixing total-burden correction",
        "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: residual context burden open Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q323",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q323",
        "symbol": "context coherence to burden map",
        "exact_form": "K_ctx not=> Delta_B_coherence without environment-state/burden-record map M_B",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / CONTEXT-BURDEN TYPE FIREWALL",
        "next_gate": "derive M_B or alternate coherence-burden law",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "context coherence to burden map",
        "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: derive M_B or alternate coherence-burden law",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q324",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q324",
        "symbol": "seed coherence rebate",
        "exact_form": "B_coh^seed=1/6 already included in H_seed=17-1/6=101/6",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / TYPED BASELINE REBATE",
        "next_gate": "do not count again",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "seed coherence rebate",
        "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: do not count again Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q325",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q325",
        "symbol": "residual coherence ledger repair",
        "exact_form": "later term typed Delta_B_coherence^res; B_e=101/6+...-Delta_B_coherence^res",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / PROVENANCE REPAIR / NUMERIC BASELINE UNCHANGED",
        "next_gate": "derive residual coherence law",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "residual coherence ledger repair",
        "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: derive residual coherence law Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O62",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O62",
        "symbol": "remaining B_e correction status",
        "exact_form": "all direct homogeneous-mixing total corrections ZERO; residual/static cross-carrier terms OPEN",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / MATTER LEDGER NARROWED",
        "next_gate": "derive residual maps and closure branch",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "remaining B_e correction status",
        "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: derive residual maps and closure branch",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O63",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O63",
        "symbol": "remaining B_e correction protocol",
        "exact_form": "closure shell/additivity, transport-to-burden, and coherence-to-burden admission rules frozen",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "FROZEN PRE-RESIDUAL",
        "next_gate": "execute source-complete residual derivations",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "remaining B_e correction protocol",
        "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: execute source-complete residual derivations",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q326",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q326",
        "symbol": "Theta closure branch index",
        "exact_form": "chi=w_H(theta) under current endogenous Theta branch realization",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / P_w^Theta ARE HAMMING BRANCH PROJECTORS",
        "next_gate": "physical branch interpretation separately gated",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "Theta closure branch index",
        "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: physical branch interpretation separately gated Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q327",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q327",
        "symbol": "closure-open graph cycle ranks",
        "exact_form": "beta1(w=0,1,2,3)=(3,1,0,0)",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / HARD K4 CLOSURE GRAPH",
        "next_gate": "none internally",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "closure-open graph cycle ranks",
        "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: none internally Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q328",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q328",
        "symbol": "C3_7 closure shell",
        "exact_form": "nonreference + nonzero edge-supported winding => chi=w=1",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / CURRENT HARD-GATE WINDING REALIZATION",
        "next_gate": "specific address remains open",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "C3_7 closure shell",
        "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: specific address remains open",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q329",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q329",
        "symbol": "C3_7 w1 address orbit",
        "exact_form": "theta in {100,010,001}; one S4 orbit",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / ADDRESS DEGENERACY",
        "next_gate": "localized pair-address receipt required",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "C3_7 w1 address orbit",
        "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: localized pair-address receipt required Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q330",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q330",
        "symbol": "C3_7 closure receipts",
        "exact_form": "w=1 => 2 closed,4 open,c_cl=1/3,g_open=2/3,beta1=1,C4 open graph",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / EXACT BRANCH FEATURES",
        "next_gate": "closure burden coefficient separately open",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "C3_7 closure receipts",
        "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: closure burden coefficient separately open Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q331",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q331",
        "symbol": "C3_7 closure static evaluation",
        "exact_form": "Delta_B_closure^static=f_cl(1); pair-additive candidate gives kappa_cl",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / BRANCH ARGUMENT CLOSED",
        "next_gate": "derive f_cl(1) numerically",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "C3_7 closure static evaluation",
        "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: derive f_cl(1) numerically",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q332",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q332",
        "symbol": "matched n1/n2 closure cancellation",
        "exact_form": "same chi=1 => Delta closure static difference=0",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / DIFFERENTIAL CONTROL DOES NOT NEED NUMERIC CLOSURE COEFFICIENT",
        "next_gate": "construct true n2 carrier",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "matched n1/n2 closure cancellation",
        "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: construct true n2 carrier Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q333",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q333",
        "symbol": "matched n1/n2 burden difference",
        "exact_form": "B2-B1=delta_hol+delta_transport-delta_coherence under same seed/frame/closure",
        "claim_bin": "EXACT_CONDITIONAL",
        "status": "AUTO_LOCK CONDITIONAL / SOURCE-MATCHED CONTROL",
        "next_gate": "source residual transport/coherence",
        "use_class": "CURRENT_CONDITIONAL",
        "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.",
        "display_symbol": "matched n1/n2 burden difference",
        "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "CONDITIONAL — PREMISES REQUIRED",
      "reuse_limit": "Retain the original EXACT_CONDITIONAL claim only within its stated source premises. Current reopening/next gate: source residual transport/coherence",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q334",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q334",
        "symbol": "true higher-winding rank2 determinant",
        "exact_form": "X=[[1,h1],[1,h2]], det=h2-h1",
        "claim_bin": "LOCKED_INTERNAL_MATHEMATICS",
        "status": "AUTO_LOCK / RANK2 IFF h1!=h2",
        "next_gate": "source true h1,h2",
        "use_class": "CURRENT_LOCKED_MATH",
        "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.",
        "display_symbol": "true higher-winding rank2 determinant",
        "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "SCOPED INTERNAL — SOURCE RECORDED",
      "reuse_limit": "Retain the original LOCKED_INTERNAL_MATHEMATICS claim only within its stated source premises. Current reopening/next gate: source true h1,h2 Exact source status is not a new proof audit or physical identification.",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "Q335",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "Q335",
        "symbol": "true n2 vs doubled diagnostic identity",
        "exact_form": "two traversals of n1 not=> genuine winding n=2 carrier",
        "claim_bin": "LOCKED_NO_GO",
        "status": "AUTO_LOCK / HISTORY-WINDING TYPE FIREWALL",
        "next_gate": "construct n2 source state independently",
        "use_class": "LOCKED_NO_GO",
        "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.",
        "display_symbol": "true n2 vs doubled diagnostic identity",
        "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "NO-GO — EXACT SOURCE HYPOTHESES",
      "reuse_limit": "Retain the original LOCKED_NO_GO claim only within its stated source premises. Current reopening/next gate: construct n2 source state independently",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O64",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O64",
        "symbol": "C3_7 closure branch status",
        "exact_form": "SHELL CLOSED chi=1 / ADDRESS OPEN",
        "claim_bin": "LOCKED_STATUS",
        "status": "AUTO_LOCK / ACTUAL C3_7 BRANCH NARROWED TO W1 ORBIT",
        "next_gate": "source localized address if needed",
        "use_class": "LOCKED_STATUS",
        "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.",
        "display_symbol": "C3_7 closure branch status",
        "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "DATED STATUS — NOT NEW EVIDENCE",
      "reuse_limit": "Retain the original LOCKED_STATUS claim only within its stated source premises. Current reopening/next gate: source localized address if needed",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    },
    {
      "row_id": "O65",
      "namespace": "coefficient-ledger",
      "source_id": "L65",
      "source_row": {
        "id": "O65",
        "symbol": "matched n1/n2 control status",
        "exact_form": "CONTROL SPECIFIED / SCORE SOURCE INCOMPLETE",
        "claim_bin": "PROTOCOL_CONTROL",
        "status": "FROZEN HIGHER-WINDING CONTROL",
        "next_gate": "construct n2,h1,h2,B1,B2,residual maps",
        "use_class": "PROTOCOL_CONTROL",
        "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.",
        "display_symbol": "matched n1/n2 control status",
        "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0"
      },
      "historical_source_id": null,
      "historical_row": null,
      "version_relation": "ADDED_AFTER_V0.39",
      "changed_fields": [],
      "current_disposition": "PROTOCOL ONLY — NOT A THEORY CONSTANT",
      "reuse_limit": "Retain the original PROTOCOL_CONTROL claim only within its stated source premises. Current reopening/next gate: construct n2,h1,h2,B1,B2,residual maps",
      "amendment_ids": [],
      "explicit_references": [],
      "dependency_graph_status": "OPEN_GATED: textual references are not a complete proof-dependency DAG",
      "verification": "source-field comparison and explicit scope reconciliation; full reproof not performed",
      "physical_promotion": 0
    }
  ]
}