{
  "step": "C397",
  "status": "completed",
  "date": "2026-09-24",
  "title": "Commuting affine circuits in the sourced E/P/J loops",
  "previous_certificate_sha256": "5e8f25132dda224a3a0892bc45d85cf5347a9c3b94131c765bfeea5572686a55",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C397_Commuting_Affine_Circuits_in_Source_E_P_J_Loops_20260924.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C397_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": "5c5257d9668a8e2442ad2e1aa2532860be881a7b3e0fa98725502c46d95d80b1",
  "source_manifest_sha256": "1ebc49b8dec8fe131c4cd6fa5386a2fd3a1b5244c4a189c3863876036b95f40b",
  "report_sha256": "e4dd9f1b4a22061867fd78b465fad92ba9f3f05095cd54a08ea7a0cda4f5c96e",
  "checkpoint_sha256": "95bbb8ea8ab9516e824d827aa825c4bc247b926485ba3f35f54181819bcb6207",
  "data_sha256": "70bdd6edc9282deab7a5efa630735a54b9da8ff2befc72c4ddfcb8d6f1ab84ab",
  "results_sha256": "0c73a4314ea5d2af4b999f020d9ddba7692893878f65fb1854ff38c6dbeea593",
  "calculation_sha256": "123e91b88247cac551b594d452261320e94144c4ca205a930c7745ad0b52c0ce",
  "verifier_sha256": "9f175670abb70f7819dd7f6d997ff0bef2e58df8dffd763b433f6c6cd62e332d",
  "next_step_decision_sha256": "6ce603a0556624d404b6add467b8710571733658f42d15e4b3584c7bc7b648f9",
  "replay_sha256": "d46b957a6bb4c07067f982f8dd36245603c3569f0ebe9411113259cfe71b1b64",
  "control_integrity_sha256": "9810807cb07b02f43f568f68bb82cb41a6eeff6799902254b4932e5c350ac838",
  "readme_sha256": "075854efa0c1b1d3b458d1c2a775839ec7f2b1ccb3aa2d04305216016b29e15d",
  "assertions_passed": 99,
  "source_checks_passed": 14,
  "main_result": "Two MT source graphs contain E return and common P/J forward edges. At each of four vertices, P–E and J–E circuits commute as same-center dilations with independent multipliers1750/(3K) and7500/(13K). Their counts classify positive circuit maps. Individual E/P/J operators remain noncommuting, and no nonempty positive circuit is an identity.",
  "limits": "The monoid consists of exact affine comparison maps on admitted source circuits. It is not a group of inverse source operations, a global action on all dates, or a source-prescribed composition rule.",
  "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": "Test whether the complete E/P/J loops transport through the already recorded+215 branch translation to the original full43017K configurations. Solve the unique translated E pivot and verify source and phase availability without fitting an anchor.",
  "next_step_executed": false
}