{
  "step": "C391",
  "status": "completed",
  "date": "2026-09-24",
  "title": "Conditional equivalence of the E/J motif and the529 P/J side",
  "previous_certificate_sha256": "39d4d8455fe9e396c9000b949f7662473d059d353aae870e9215fc1b91b7487d",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C391_E_J_Motif_and_529_P_J_Conditional_Equivalence_20260924.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C391_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": "8fe2fa6a3debb1f573ff176a5f4a05a8f8b676fc42d2449c654aad1e2ab2a3fb",
  "source_manifest_sha256": "e626d24ba4683f57a8523f35920c16876ef22c3a45fe7ab96ac4366709e630ea",
  "report_sha256": "e7537c32ab1631a9324bd1b6eb713556d0a0e7a5cd80d0df4df669ff967779a4",
  "checkpoint_sha256": "e534f8de43a1602b21b64658cb5c58c1246be047f70527b55f1b4170450f8a2c",
  "data_sha256": "886adb417f29f94e39ffa45a7ecc6f6ec42b0963f6a8327e87390dccf687c6c2",
  "results_sha256": "3bf925a759923b4b4cad8feb0a6e1617cc61dea5ae13d8465a69b2caaa9d72ad",
  "calculation_sha256": "0c8b6928c8c512edee3185364ac383dc3c0122d5ba8ff6de84b921fbca0eb515",
  "verifier_sha256": "9f175670abb70f7819dd7f6d997ff0bef2e58df8dffd763b433f6c6cd62e332d",
  "next_step_decision_sha256": "d48a8f14c8cff90634d8990703c59abacbe002c6c64d6fca4e6ce23eb45277b9",
  "replay_sha256": "3875d3672188c3edeb9230fed5f611dd69c74c82e240258e67e576afdc6d1471",
  "control_integrity_sha256": "9810807cb07b02f43f568f68bb82cb41a6eeff6799902254b4932e5c350ac838",
  "readme_sha256": "5d2d0c1b302e54656fa3d1b014f9290a2d2f1b25f7a3b26649171041d45cc7cc",
  "assertions_passed": 43,
  "source_checks_passed": 16,
  "main_result": "Source500/600 and E/J forceh2,460=230h and598=299h, hence1058=529h. The existing target Flood then recovers69h→70h under P. All eight labelled E/J contexts match the earlier common-P/J contexts. The target side550h differs by21h; transported P remains unavailable.",
  "limits": "The normalized h family is algebra; onlyh2 and the recorded sources are admitted here. Equivalence is conditional on the finite family motif, not a universal equivalence of protocols or independent corroboration.",
  "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": "At the four already selected held Noah coordinates, enumerate all exact E images inside the frozen regular register. Classify the source-labelled edges and maximal paths, and determine precisely how the new E/J square sits beside the older double-E ladder.",
  "next_step_executed": false
}