{
  "step": "C406",
  "status": "completed",
  "date": "2026-09-24",
  "title": "Independent coherent-family census of Shem return loops",
  "previous_certificate_sha256": "413e7cccce29b91ec03992fba18be4dd15a7a54f6766fcdf611b39bfe4e243a3",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C406_Independent_Coherent_Family_Census_of_Shem_Return_Loops_20260924.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C406_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": "7c094a5f350871da92bbc1c09ddffdb1c9832b89988d864b4c9b3e8d2b74c0ee",
  "source_manifest_sha256": "8a4e7231e66024e79fa82fbe838e5db7af0f006e4d174b02331e813f564269a3",
  "report_sha256": "f917af63396d01b6b1653f39c1b09dc57c2fa2f675bcd7090a976dfa99f9e37b",
  "checkpoint_sha256": "5fcc824c2b0c59f99f447ec10fa00936c88d6e2e1be27b407ee7ebbde305b96a",
  "data_sha256": "6b91c1a5d110ac12adfcfe650eaffaa80617ee31e0037fb81a2abfc7228be8c6",
  "results_sha256": "ba0ac70f70f774cf7bb797c2dab524e17097672105e27afe3adc9a6db4e53fb7",
  "calculation_sha256": "641f6552b73c526b96d174071011ca5850b3f8845560e623e47a752252702075",
  "verifier_sha256": "9f175670abb70f7819dd7f6d997ff0bef2e58df8dffd763b433f6c6cd62e332d",
  "next_step_decision_sha256": "c8588a7d40b36fd968f43aaca5042dab7bc48227c2ef0f704239d7e14d1987f9",
  "replay_sha256": "87ff0669bc709a5f4afb825857674b919105107d43742cd76485d252eaadb3d5",
  "control_integrity_sha256": "9810807cb07b02f43f568f68bb82cb41a6eeff6799902254b4932e5c350ac838",
  "readme_sha256": "d809b537e959c24054702937155a24ec0ad78f7e689c6bf3c649ff9b277da716",
  "assertions_passed": 28,
  "source_checks_passed": 15,
  "main_result": "All2048 direct Shem-family trials yield12 labelled/six coordinate E/J loops and exactly two complete E/P/J loops, equal to the−500 image of the Noah census. No loops fall outside that correspondence. Source600 and Gear2 force J; the context difference215−130−60=25 supplies E.",
  "limits": "Completeness is conditional on the specified Shem birth/death family grammar. Aliases and the independent source-side census are not new historical witnesses.",
  "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": "Check the500/100 and502/98 Noah-to-Shem bindings separately on all12 source-labelled loops. Test every endpoint and pivot with its required Gear and person rail, identify unavailable boundaries without creating Gear0, and distinguish repeated coordinate images from new source configurations.",
  "next_step_executed": false
}