{
  "step": "C382",
  "status": "completed",
  "date": "2026-09-24",
  "title": "Moving-pivot mixed-square law for P and J",
  "previous_certificate_sha256": "a7ac1ee5e43329599ce150ace112c330224662e98ae7e4e9a1bad8116faf00a2",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C382_Moving_Pivot_P_J_Mixed_Square_Law_20260924.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C382_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": "00310563c1224810c11516d09965b22d73fdb00b71d41176161a4fb8001d9c66",
  "source_manifest_sha256": "c9f2ea85e364a412f85b86334331e0bafd21f1933edafbdceaab9a732b5220d2",
  "report_sha256": "fa7af1207bbb1d95ac57822958a7dfd502da038ffe39b9bd7a8099d920949562",
  "checkpoint_sha256": "a90c7d401d26e1d722c75220ea40f148994904dd679847783954944f46de42e7",
  "data_sha256": "3606811b771adeed6b7adbdf891b8e37c6631c7619c8d228cd98440fa877c606",
  "results_sha256": "5b6b785c49bc2bcc3f05134bdcad2b176ed4262f37163da263358fa15f23fc34",
  "calculation_sha256": "f3edc5eb72542378115c79aca49252ef86ca5d201e5678490ec60a1a2141c9db",
  "verifier_sha256": "9f175670abb70f7819dd7f6d997ff0bef2e58df8dffd763b433f6c6cd62e332d",
  "next_step_decision_sha256": "115856fd79617d7a6e27a36edd844478ecdc668872939239664115ed64d11ff0",
  "replay_sha256": "4e98fba724fda9b8535f0aac9428ad4f571a7da757525e9fe91a5e12ad7ffad0",
  "control_integrity_sha256": "9810807cb07b02f43f568f68bb82cb41a6eeff6799902254b4932e5c350ac838",
  "readme_sha256": "3b0dea45278f4863486305015038ff53289ed04ccd0faa7c6ef4fe6c9cd50502",
  "assertions_passed": 78,
  "source_checks_passed": 15,
  "main_result": "The six admitted mixed two-step squares commute exactly whenD=230h, the same equal-gain condition behind the529 side. Fixed pivots have order defect±20/897. In translated input/output frames P and J become dilations about the same existing source point. All24 finite word routes agree by operator counts, while differing counts retain different slopes.",
  "limits": "This is a finite moving-frame structure, not fixed-pivot commutation or a global physical-time action. Neither source-domain closure nor17K preservation is inferred from the mixed-square identity.",
  "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": "Consolidate C374–C382 in C383, verify the principal source joins and algebra using a separately written root calculation, replay the sealed packets, and publish the synthesis, checkpoint and recovery files. Leave C384 unexecuted.",
  "next_step_executed": false
}