{
  "step": "C455",
  "status": "completed",
  "title": "Two-E Effective Pivots and Sourced 529 Input Gaps",
  "previous_certificate_sha256": "8e4f4a5c0262640c80416346e927829a5ba445e8b254e712ca1f081c3176f275",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C455_Two_E_Effective_Pivot_and_529_Gap_Census_20260925.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C455_20260925.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": "67bf8222fc5a5e69e5b76afa97ffb81bac31b6370f1b5c36ac3ba0db4e502854",
  "source_manifest_sha256": "ba08981b58ed2d40a81b4f13ede032ccb6a0c6ad64052046351f76b968dce5b0",
  "report_sha256": "58269097121d59afc42edd25dce6182431bee2d67b7307748737648c8287a41d",
  "checkpoint_sha256": "b41e961aea7c5182adb6448b4ff994250c53307b37f9488fd7f3f8b82188fc14",
  "data_sha256": "d6cf5d73f3d58aa3b7cdb8331c8acb1b2ea6131b9e42f8619087d1009c1666b4",
  "results_sha256": "d53b2e58c397d8c5ded6a929eec50556b6bbb6fa60f2d02059576e141b3564b5",
  "calculation_sha256": "601af75adbaca22db162ef1aca9490253e3fe360435fb7b7a9586b2f7dbd4713",
  "verifier_sha256": "46964ade0128d97b589fb678853daf7b81ffff1d90eb1a99221031ba734b093f",
  "next_step_decision_sha256": "a52f18a254b8d6a8fe07741abe664d57419b9d901e017c2bffbb456723ca1271",
  "replay_sha256": "b0cbcf81ca180f87802b76c1b2d527ac5f9ea338a2b20bd6ef201314c8ad7022",
  "control_integrity_sha256": "24e687bf3e03c7f16c3ca2aafe4c72e9aab25f03d55fa644c44a178e698ff3df",
  "readme_sha256": "a6ebc0ea533672d6b55442be7b58ad8d0a61d23ac4455883d48757fe3a94b3f9",
  "assertions_passed": 23872,
  "source_checks_passed": 20,
  "main_result": "Across23,872 input/word trials,64 ordered E pairs yield15 complete paths. Thirteen words have a sourced effective fixed point;11 complete paths use one. The only nonzero529-multiple input gap is the established1058 gap atH3206, with2148→2020→1956. Four additional paths have rational, unsourced effective pivots.",
  "limits": "Effective fixed points are comparison parameters. Only13 of64 are sourced, and only one complete nonzero source-qualified529-gap expansion is found in this menu.",
  "canonical_or_graph_edits": false,
  "new_independent_agent_review": false,
  "next_step_executed": false,
  "next_proposed_step": "Prove the exact E² integrality criterion and stage the13 sourced-effective-pivot words through integer output, sourced output and sourced intermediate gates, separating forced529 factors from source admission."
}