{
  "title": "Supporting material for Irrational even beta values in shifted intervals",
  "source_repository": "https://github.com/twinheterodox/beta4",
  "source_commit": "a3f56ac5865736555fb0379b94a712038efcf99f",
  "source_directory": "shifted-even-beta",
  "source_url": "https://github.com/twinheterodox/beta4/tree/main/shifted-even-beta",
  "source_snapshot_url": "https://github.com/twinheterodox/beta4/tree/a3f56ac5865736555fb0379b94a712038efcf99f/shifted-even-beta",
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    "pages": 17,
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    "canonical_pdf_url": "https://github.com/twinheterodox/beta4/blob/main/shifted-even-beta/output/pdf/shifted-even-beta.pdf"
  },
  "compilation": "Run pdflatex on shifted-even-beta.tex from the root of the extracted archive; repeat until references resolve. No shell escape, external figures or bibliography processor is required.",
  "checks": {
    "python": "Python 3, standard library only; run without -O",
    "run_from": "Root of the extracted archive",
    "commands": [
      "python3 -B anc/checks.py",
      "python3 -B anc/endpoints.py"
    ],
    "manuscript_path_note": "The scripts referred to under checks/ in Appendix A are packaged in anc/ here. The original checks/ paths remain valid in the linked repository.",
    "expected_reports": {
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    "full_report": "anc/independent-audit-report.json",
    "final_exposition_review": "anc/final-reading.json",
    "additional_example_check": "anc/beta4-example.json",
    "scope": "The independent audit reported on 5 November 2026 covers the general arguments in the underlying plain-text proof, identified by its SHA-256 in the audit record, and independently reproduced finite calculations. The current PDF is a subsequent exposition of that argument. Its final reading and the added beta(4) through beta(198) example were checked separately by the constructing assistant. The audit was not formal verification or certification of priority. Reviewer identity and model were not specified."
  },
  "record_path_note": "Paths and hashes within copied historical audit and source records refer to the original repository layout and versions. The source map below identifies the locations in this upload bundle. The report text and original license are preserved in JSON wrappers.",
  "source_repository_license": "Apache-2.0; original text preserved in anc/LICENSE.json. The Hexagon record license is selected by the contributor at submission.",
  "preparation": "Prepared with OpenAI Codex under the research pseudonym twinheterodox.",
  "packaging": "Manuscript sources, scripts, reference outputs and review records come from the pinned published Git commit. The ten TeX input paths are the only manuscript changes. No private backups, build files, external paper PDFs, credentials or identifying local paths are included.",
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