{
  "step": "C399",
  "status": "completed",
  "date": "2026-09-24",
  "title": "Complete inverse-E closure test of common P/J source edges",
  "previous_certificate_sha256": "12d00a10a6099cf525a656d9fbdb0a038116dc391024bf164a567e2f3ab97134",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C399_Complete_Return_E_Closure_of_Common_P_J_Source_Edges_20260924.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C399_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"
  },
  "step_sha256": "f07bf1bb7684bdf10b4734d9a6c2c41c0cd0e1da8f31fa71928bda4d8745b041",
  "source_manifest_sha256": "ad5b6e7f0d6286c8f9f063ee48454ad587632573a68eae0a26109311fcaea78b",
  "report_sha256": "cfde901fe1ab1ba9ab3fa9143fc43fc4843d87f419724a7e723c77f3b806ca53",
  "checkpoint_sha256": "558ccf3996aad9628fa918a06685c415fce7216c2b00688d6d1e7023740cd734",
  "data_sha256": "a064528edb36c9bdd10885bb7f49195a14922ade54b66e7ed28d88fd67b922fb",
  "results_sha256": "005571f5c08f7d60c755029b76fe09e56758d8ae7b361e72400e12f47a104b1a",
  "calculation_sha256": "b1f32a5c910895865370dd204862737a59ae8f8e961f34cd33daef1c8eca6883",
  "verifier_sha256": "9f175670abb70f7819dd7f6d997ff0bef2e58df8dffd763b433f6c6cd62e332d",
  "next_step_decision_sha256": "f93f0456cee3800c838731134aa8ffce64e49ea12e2d69572bd5294936c32021",
  "replay_sha256": "a63d6dc3058c784be24888f9b77e2bb1964491fb4708cd5fb9bd402be0e0806d",
  "control_integrity_sha256": "9810807cb07b02f43f568f68bb82cb41a6eeff6799902254b4932e5c350ac838",
  "readme_sha256": "89bb5d67042d8313831042b43a08963cc0dfa0ebbfbf3d1f336de559459ebd8a",
  "assertions_passed": 44,
  "source_checks_passed": 17,
  "main_result": "Of ten common P/J coordinate edges, only the two lower-full430 regular edges admit the unique E return pivotV=u+25h/2. Six cumulative pivots−5913…−5908 and regular3271/3273 are absent. Signed pivot spans623h/2 and163h/2 unify the algebra while preserving the source boundary.",
  "limits": "The signed formulas are exact but do not admit their missing pivots. Source closure is established only for the two existing regular coordinate graphs; source aliases remain separate provenance.",
  "canonical_or_graph_edits": false,
  "new_independent_agent_review": false,
  "review_provenance": "Root-agent analysis and deterministic replay; no new independent-agent review",
  "next_proposed_step": "Classify every admissible path in the two sourced E/P/J graphs by its endpoints and operator counts. Derive an exact normal form for open and closed paths and check when distinct words represent the same affine map, without expanding the source graph.",
  "next_step_executed": false
}