{
  "version": "v1.57",
  "task": "NS-58",
  "date_local": "2026-09-22",
  "classification": [
    "exact identity",
    "proved implication",
    "open input"
  ],
  "outcome": "Stop condition reached: the homogeneous translated-radical boundary test is exactly equivalent to the original nullvector equation; no independent arithmetic exclusion estimate.",
  "provenance": {
    "starting_main": "278be914c04d9b7492410d27aea8a23a6fa61bb5",
    "claim_commit": "8cdb1053c0e43949d660c0221623b4c8a4316971",
    "branch": "codex/ns58-radical-boundary",
    "independent_review": false
  },
  "source": {
    "manuscript_path": "manuscript/fixed_space_prime_action_v1.tex",
    "manuscript_sha256": "ea83c728cac319e98bdf2d20233664477ba4d9851c017413b0b2eab5036f502f",
    "proof_sha256": "02194d8ad744c3cefd5c347dee6bd1867e3ac3643cc0b274dc24dc8426fb4fb0",
    "verbatim_fragment_occurrences": 1
  },
  "manuscript_build": {
    "command": "./manuscript/build.sh",
    "exit_code": 0,
    "pages": 294,
    "undefined_or_duplicate_references": 0,
    "overfull_boxes": 0,
    "underfull_boxes": 0,
    "duplicate_pdf_destinations": 0,
    "count_scope": "Final converged LaTeX pass.",
    "visually_inspected_pdf_pages": [
      4,
      267,
      268,
      269,
      270,
      271
    ],
    "output": "evidence/v157/build-output.txt",
    "final_log": "evidence/v157/latex-final-log.txt"
  },
  "maxima": {
    "command": "maxima --no-init --quit-on-error --very-quiet --batch=evidence/v157/exact-checks.mac",
    "exit_code": 0,
    "exact_checks_passed": 9,
    "scope": "Finite exact pole and forcing-sign algebra only; not verification of the complete-domain analytic proofs or an interval certificate.",
    "output": "evidence/v157/exact-checks-output.txt"
  },
  "local_review": {
    "report": "evidence/v157/integration-review-2026-09-22-v1.html",
    "outstanding_major_identified": 0,
    "outstanding_minor_identified": 0,
    "independent": false
  },
  "inherited_pdf_repair": {
    "label": "eq:ns53-nb-rbc",
    "change": "Use equation* for the explicitly tagged RBC display; formula and printed tag unchanged.",
    "duplicate_destination_warnings_before": 4,
    "duplicate_destination_warnings_after": 0
  },
  "limits": [
    "No independent sign estimate, actual arithmetic nullvector, uniform floor, API, G2 or RH proof.",
    "No new numerical window, tail metric or interval certificate.",
    "Inherited radical and numerical inputs were not independently reviewed or replayed.",
    "Compactness excludes a uniform lower bound on the entire fixed-window unit sphere, not on a particular finite-dimensional kernel.",
    "No priority or literature novelty claim."
  ],
  "output_normalization": {
    "build-output.txt": {
      "captured_sha256": "71a1a96bf1f95ebb10c4f9c2d7023338f2aba601d6ff883acd0d1b3e0a4975c0",
      "normalization": "Trailing whitespace removed only."
    },
    "latex-final-log.txt": {
      "captured_sha256": "b98ca5f246c6b889511921287bd933d889149e75840406bfcaefc5f452aed3bc",
      "normalization": "Trailing whitespace and final blank lines removed only."
    },
    "exact-checks-output.txt": {
      "captured_sha256": "8136cbcd2e587cc05a019574f53fb07c53286d3628afac0d87f685a0e9973895",
      "normalization": "Trailing whitespace removed only."
    }
  }
}
