{
  "step": "C421",
  "status": "completed",
  "date": "2026-09-24",
  "title": "Source-path obstruction for the new held-Noah squared-E endpoint",
  "previous_certificate_sha256": "59d18cc304da84a6137f1d83bba36c36a57d6b7b34185f51e82930a74146671a",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C421_Source_Path_Obstruction_for_the_New_Squared_E_Endpoint_20260924.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C421_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": "0dc42b6beff9f2d8e04ec5662841e3ce30cc2056ba91fb4dc53fe2eff43ffe73",
  "source_manifest_sha256": "574e97080b31598cb92207193b490a98a7c95b65f59f378b7ea1d16c8bc914c8",
  "report_sha256": "0af8647e6f56774025387ef0bb30555f78d6e3548bd4ecf029110410846f700a",
  "checkpoint_sha256": "843a5393b0561e957f7921d720d0f6171057fd7356ae24a6930078141cb6d462",
  "data_sha256": "93da5e2b754d97b7810e25661c30434011e524d1cacbebd6ad83df7a3b057ea1",
  "results_sha256": "b38d57ea540a4380d91a95d56916eab4025b032b46d81d5f7c9f86d64d0bd6ad",
  "calculation_sha256": "b2a8aeabd3dba9ffb626883674b7975aa469bde48f6bf4aceeec900b69e8c3dd",
  "verifier_sha256": "9f175670abb70f7819dd7f6d997ff0bef2e58df8dffd763b433f6c6cd62e332d",
  "next_step_decision_sha256": "0c81b4b22f15d519fdfa1f6642775c70f17243da7ea8accd49ac1b14d3f2de3e",
  "replay_sha256": "6ede8a805058471041560269a9ec6a477cbcaa80e45393f4f6ca0d95da61e267",
  "control_integrity_sha256": "9810807cb07b02f43f568f68bb82cb41a6eeff6799902254b4932e5c350ac838",
  "readme_sha256": "c3e7ab5f7c0b6fd27ecd2eeaacf7e71e3cffe5876217430375c1ba87aba98158",
  "assertions_passed": 378,
  "source_checks_passed": 14,
  "main_result": "The held3899 E² map has no sourced intermediate realization. Acrossall373possiblefirstpivots, onlyp=q3899 solves25p+23q=48×3899 withbothpivots sourced, and its2749 intermediate is absent. Themax3900 bound gives the same result algebraically. Prime7/13/5 valuations forceanyfinitepositiveE/P/J word withthetargetwholemap toE²alone. Different-slope endpoint coincidences and inverse words are outside this result.",
  "limits": "The positive-word proof concerns equality of complete affine maps and sourced intermediate paths. It does not broaden J into a calendar operator or claim that every unrelated endpoint route has been excluded.",
  "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": "Reconstruct the profile, boundary controls and new squared-E endpoint directly from current source excerpts, and check inherited quarter-offset components. Separate source-prescribed relations from derived comparisons, fixed-pivot seasonal action and jointly shifted endpoint comparisons before final synthesis.",
  "next_step_executed": false
}