numerical-evidence.json

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5081 bytes, as of the version from 2026-10-26 19:01 (current). Recorded here, not run.

{
  "independent_exact_factors": {
    "0": "1",
    "1": "1/2",
    "2": "5/12",
    "3": "15/64",
    "4": "221/1008",
    "5": "565/4096",
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  "controls": [
    "log(1+z)",
    "log(exp(z))",
    "graph c1,c2,c3",
    "Gamma(1)=Gamma(2)=1",
    "M0=1",
    "Table 1 moments n=1..4",
    "Maxwell/Beta mean"
  ],
  "independent_graph_comparisons": 11,
  "gamma_formula_comparisons": 12,
  "strict_log_convexity": 11,
  "minimum_odd_accuracy_bits": 510,
  "working_precision_bits": 513,
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  "table": "T523",
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    "stored_recurrence_residuals_contain_zero": 12,
    "stored_log_convexity_margins_positive": 11
  },
  "verify": "12/12 matched, 0 differing, 0 missing, 0 extra",
  "versions": {
    "Sage": "10.9",
    "numberdb": "0.1.10"
  },
  "method_limits": "Independent graph-factor computation shares the cited mathematical source, but no recurrence or arithmetic helper with the generator. No stochastic simulation was used; exact rational arithmetic plus Arb enclosures supports the claimed rigour.",
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  "site_audit": {
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    "title": "Moments of the Brownian excursion area",
    "findings": [],
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