{
  "schema": "OMEGA_NAUGHT_THIS_ARCHIVE_RUN/1.0",
  "title": "This-archive run of verify_omega_ns.py",
  "utc": "2026-09-18T03:41:44Z",
  "interpreter": "Python 3.10.21",
  "sympy": "1.14.0",
  "note": "Symbolic identity checks only. Smooth localization is proved in the PDF. Not a Lean certificate, not a numerical NS evolution, not a blowup verification.",
  "pdf": {
    "path": "/extension/OMEGA_NS_Geometric_Extension.pdf",
    "bytes": 395411,
    "sha256": "fc66480bc599f6322c79b08f777e4650b25ce20795f2f1084717c1798faf0d10",
    "verified_here": true
  },
  "checker": {
    "path": "/extension/verify_omega_ns.py",
    "bytes": 6622,
    "sha256": "d6dfd762f98bc2878d60bb06ec2599c211c3ec5535d595e5180d8cfb5082979d"
  },
  "commands": [
    "python3 verify_omega_ns.py",
    "python3 -O verify_omega_ns.py",
    "python3 -OO verify_omega_ns.py"
  ],
  "exit_codes": {
    "normal": 0,
    "-O": 0,
    "-OO": 0
  },
  "stdout_identical_across_modes": true,
  "stdout_bytes": 1700,
  "stdout_sha256": "e39a48e357a6daa21284b6755a7b1739911f0918cb37d1faf7f8ea02775847e6",
  "result": "TOTAL: 34 exact checks",
  "not": [
    "not a source paper",
    "not a proof-assistant certificate",
    "not a finite-time blowup result",
    "not historical novelty",
    "not Paper VII rewritten",
    "not an enlargement of Paper VI cubature certificates",
    "not a website audit of 18 September 2026 403 retrievals"
  ]
}