{
  "audit_date": "2026-09-01",
  "review_units": [
    {
      "claims": ["FPRD-SH-T22", "FPRD-SH-T23", "FPRD-SH-C11"],
      "title": "Uniform zero-overhead thresholds"
    },
    {
      "claims": ["FPRD-SH-T19", "FPRD-SH-T20", "FPRD-SH-T21", "FPRD-SH-C10"],
      "title": "Colored exact-cover and matching boundary"
    }
  ],
  "source_replays": {
    "dancing_links_checker": {
      "sha256": "76fd243c2b1d13c543495c852c9db4d15e173e309c713e62ddd827dec887cbde",
      "status": "pass",
      "source_output_reproduced_exactly": true
    },
    "uniform_support_checker": {
      "sha256": "8e6e021eff51b3f7cae84783432b27e420b3e3c5b4b13e3e9cf6fd9e0bae10ab",
      "status": "pass",
      "source_output_reproduced_exactly": true
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  },
  "independent_review": {
    "checker": "uniform_xcc_independent_review.py",
    "checker_sha256": "29c9b02d8d3d2ad1dcff75f1ef85fc80d4bcd1c7ef7aab4f404929c864311690",
    "output": "independent-output.json",
    "output_sha256": "53fe3c51cec4727089f5f3a93da6ca542282ef725b5583af4362bb8f4ebaf0cf",
    "status": "pass"
  },
  "mathematical_corrections": [
    "The EKR ceiling now carries the required n >= 2r hypothesis.",
    "The n < 2r regime is stated separately: every r-set family is intersecting.",
    "The Hilton--Milner empty-core clause now carries r >= 2 and n > 2r.",
    "The Kneser spectral receipt now carries 1 <= r <= n/2.",
    "The public counting-complexity proof now states its #P witness and Turing-reduction scope."
  ],
  "hostile_boundaries": {
    "below_ekr_range": "For (n,r)=(5,3), the full ten-set family is intersecting, exceeding the misapplied value six.",
    "r_equals_one": "For (n,r)=(3,1), the largest empty-core intersecting family has size zero.",
    "critical_range": "For (n,r)=(6,3), the twenty supports form ten complementary pairs."
  },
  "primary_sources_checked": [
    "Erdos--Ko--Rado, Quarterly Journal of Mathematics 12 (1961), 313--320, DOI 10.1093/qmath/12.1.313",
    "Hilton--Milner, Quarterly Journal of Mathematics 18 (1967), 369--384, DOI 10.1093/qmath/18.1.369",
    "Knuth, DLX2 Algorithm 7.2.2.1C color-controlled exact cover implementation",
    "Valiant, SIAM Journal on Computing 8 (1979), 410--421, DOI 10.1137/0208032",
    "Broda--Machiavelo--Moreira--Reis, CIAA 2026, LNCS 16695, 16--31, DOI 10.1007/978-3-032-31176-4_2"
  ],
  "maturity_changes": [],
  "status": "pass"
}