PREVIOUS CERTIFICATE.json

{
  "step": "C479",
  "status": "completed",
  "title": "Complete Interval Families, Sourced Factorizations and Mirror Limits",
  "previous_certificate_sha256": "2cb18410f11d00f22aaac4cd31472587e67cf752c40cf2e341d80cbbace02e7d",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C479_Interval_Families_Sourced_Factorizations_and_Mirror_Limits_Synthesis_20260925.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C479_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": "ce5fbbb7c23350c68cf2ee7f39cf66f44c188668173f6c3d9e0d444699ef5ee5",
  "source_manifest_sha256": "b02da408c1562d635a02f504febc65c0ab71099761e7128c74f3f857110ec941",
  "report_sha256": "96c2c390547bfddd263281d93a6e8a0fe03f0fb2861a434b05cf2076d8a641d0",
  "checkpoint_sha256": "af3c44306eda30fa9e808ee2df40dd333a8b219da5cdfab15ef11def73e8b77e",
  "data_sha256": "4c32cbeb5a3ce5c023fc8abdda96564787d9f26b0d4433d9c423ac8056b69299",
  "results_sha256": "28052cae6a2675608cf516714e449344c603a6cc6aaa123de30c18d6ba037952",
  "calculation_sha256": "89c05157dd0a7e1a79db98c6b4c2cf4e3d0949f44cd68d54172665b73091ee52",
  "verifier_sha256": "522dc3d500a35472af7081298ec2b8c67e7c247ee8911c7ca17899c64f6cda87",
  "next_step_decision_sha256": "2c786534dab20d138fd96ff73d587831afd33749c5ce29465f139e246909b04c",
  "replay_sha256": "dda7337c57a3be05507d005c331baa7ed322c17c8c0afc3b7ce7d34e3329b279",
  "control_integrity_sha256": "fef440ea1666c3c54d1a296e66d87da22a5fe1fcc3a83fe6e4412ad206c5665c",
  "readme_sha256": "c3b9af8b9af284db837c9536b6aefaf167acb34f6d75a37c154dfd7074297859",
  "assertions_passed": 51,
  "source_checks_passed": 65,
  "main_result": "C470–C479 are complete. The51 sourced1150 intervals admit exactly three fixed-E expansions to1250; only one has a complete2K predecessor. The74 coordinate/130 labelled1250 pairs reduce to seven source classes dominated by three matched24-context families. Whole-map equality does not ensure sourced factors. Four primary Noah-held ladders remain complete; five companion endpoint cases lack every middle. Fixed Mirror images retain the two inherited17K corners but no cumulative E ladder in the48-record menu. C480 is unexecuted.",
  "limits": "All ten steps use the inherited source domains. No new date, pivot, phase, global axis, cumulative/upstream Gear or canonical edit has been admitted. The held-Noah diagnostics and formal translated factors remain distinct from the active eight-pivot menu. Original unprefixed reports, Engine reports and C-series reports remain distinct.",
  "canonical_or_graph_edits": false,
  "new_independent_agent_review": false,
  "next_step_executed": false,
  "next_proposed_step": "Reduce the complete51-coordinate/101-label1150 interval inventory already frozen in C470 to disjoint source-role and context templates, retaining aliases separately. Use that grammar to explain the three admitted fixed-E expansions and the failed cases without adding a date, pivot, phase or operator."
}