repair-evidence.json

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10715 bytes, as of the version from 2026-10-26 19:01 (current). Recorded here, not run.

{
  "table": "T523",
  "stage": "repair",
  "scope": "Presentation-only repair. Rerun of the attached builder checks, not an independent critique.",
  "skill_evidence": {
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      "3": "15/64",
      "4": "221/1008",
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    "independent_graph_comparisons": 11,
    "gamma_formula_comparisons": 12,
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    "exact_rationals": 6,
    "100_digit_enclosures_contain_independent_values": 6,
    "stored_recurrence_residuals_contain_zero": 12,
    "stored_log_convexity_margins_positive": 11
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  "verify_report": "<VerifyReport T523: 12/12 matched, 0 differing, 0 missing, 0 extra>",
  "argument_uncertainty": "Positive integer moment orders and rational recurrence coefficients are exact. Rational prefactors and pi are enclosed in Arb; sqrt(pi/2) and all subsequent operations propagate their ball radii. No rounded external arguments enter the computation.",
  "parity_reason": "K_n is rational by induction on its rational recurrence. For n=2m, Gamma(3m-1/2)=(6m-2)!*sqrt(pi)/(4^(3m-1)*(3m-1)!), cancelling sqrt(pi). For n=2m+1, Gamma(3m+1)=(3m)!, leaving a rational multiple of sqrt(pi/2). No new mathematical claim was added.",
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  "unchanged_programs": true,
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  "fresh_independent_critique_required": true,
  "reason": "The Gamma hyperlink changes Comments, which belongs to the full mathematical-context fingerprint. The actual selected orders and their definition are unchanged. The repair neither rewrote nor accepted the independent sidecar.",
  "original_sidecar_sha256": "98c30cbc39613f4dd24ce85a2a89e9b3f94057327bf58aad9daef9100c05d412",
  "browser": {
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    "chromium": "156.0.8078.4"
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    "title": "Moments of the Brownian excursion area",
    "findings": [],
    "clean": true
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