{
  "step": "C316",
  "status": "completed",
  "date": "2026-09-24",
  "title": "Fixed paths with distinct cumulative antecedents",
  "previous_certificate_sha256": "0259e7f3c63444d7470cd6434db3903babe1ba21f97f924899c1faf9d801e8e7",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C316_Distinct_Antecedents_for_Fixed_17K_and_8395_20260924.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C316_20260924.md",
    "data": "evidence/DATA.json",
    "results": "evidence/RESULTS.json",
    "calculation": "evidence/CALCULATION.py",
    "verifier": "evidence/check.py",
    "next_step_decision": "NEXT_STEP_DECISION.json",
    "replay": "REPLAY.json",
    "control_integrity": "CONTROL_INTEGRITY.json",
    "readme": "README.md",
    "review_0": "evidence/C316_Independent_Math.py",
    "review_1": "evidence/C316_Independent_Math_Results.json",
    "review_2": "evidence/C316_Source_Review.md"
  },
  "step_sha256": "dabd4a0834f9a2732620987abd6bb814bab50689dd0d544e2167da8db647e78d",
  "source_manifest_sha256": "b69863310d2e2adf32d653fb8aa2cfcebbd3eb1b2c7737f445e2636ba3a25de9",
  "report_sha256": "86602cce69fee2115c55062749fca0f2035e1fa64aab63392c710df7aafac363",
  "checkpoint_sha256": "8be719bafb4b5a431fbdd8b93caefe743553f4a4e119ca36a6bc819c1d20e143",
  "data_sha256": "161fe982b41a30d69b9130bd247062e80e710bdb9a199d06ad88e11d68ce8b33",
  "results_sha256": "eda83b360a614d3603cdabf318f999eda433008f37f53ac79574c24234941cdd",
  "calculation_sha256": "0724fb2dcf0eced1b68a64506dddf6896acb11e99fb101fde6f0a0c724df0a44",
  "verifier_sha256": "9f175670abb70f7819dd7f6d997ff0bef2e58df8dffd763b433f6c6cd62e332d",
  "next_step_decision_sha256": "4a93ed431cbb7023c81db9f3da63b9d4c629132049a12f9dc9cc56aa13142cef",
  "replay_sha256": "9a80c459bf92ffe638e4da437edca3ad8e8c582b65023a521243f73fd2f5ffd8",
  "control_integrity_sha256": "9810807cb07b02f43f568f68bb82cb41a6eeff6799902254b4932e5c350ac838",
  "readme_sha256": "00f0e53e6a117904fda9e968c5d0d3013402e5fe2a40a094b944667f3051179c",
  "review_0_sha256": "de7eec616891ad589406685357d17df56b8a4d3dd8cfe24587818371d50142ac",
  "review_1_sha256": "296cb1632369330011b2c8f4083c35c00ae6b91fcbfc7526391792f4a1676e70",
  "review_2_sha256": "644b872421183c40989940ba74dee81771f84f393c9334f01154e7bf1ae8ab24",
  "assertions_passed": 54,
  "source_checks_passed": 15,
  "main_result": "All five8395 routes work uniquely with h=i−2 and matching Noah ancestry phase. The existingC271 route instead starts at cumulativeShem_i via17K. Equal outputs do not merge these antecedents. RegularGear descent agrees in only three cases.",
  "limits": "No common-ancestor repair, source-role replacement or cumulative Gear. Direct rectangles and stronger all-K C287 membership must be distinguished.",
  "canonical_or_graph_edits": false,
  "new_independent_agent_review": true,
  "next_proposed_step": "Verify the five inherited same17K rectangles using cumulativeShem_i/Flood_i and source regularSP Flood/Noah, with exact phases and comparison to the strongerC287 form.",
  "next_step_executed": false
}