{
  "format": "OMEGA_EXECUTION_STATUS/1.0",
  "task_date": "2026-10-14",
  "recorded_runtime_clock_utc": "2026-10-14T20:04:07.512678+00:00",
  "status": "PYTHON_CHECKS_PASSED_JULIA_AND_RUST_NOT_RUN",
  "engines": {
    "Python": {
      "status": "EXECUTED_CHECKS_PASSED",
      "runtime": "3.13.5",
      "normal_exit_code": 0,
      "optimized_exit_code": 0,
      "normal_and_optimized_outputs_byte_identical": true
    },
    "Julia": {
      "status": "NOT_RUN",
      "compilation_status": "NOT_RUN",
      "runtime_path": null,
      "reason": "No Julia runtime was available in the working environment. Source and project configuration supplied; successful execution not claimed."
    },
    "Rust": {
      "status": "NOT_RUN",
      "compilation_status": "NOT_RUN",
      "runtime_path": null,
      "build_tool_path": null,
      "reason": "Neither rustc nor Cargo was available in the working environment. Source supplied; no compilation, crate resolution, lockfile, or test execution claimed."
    }
  },
  "cross_language_agreement_established": false,
  "proof_assistant_kernel": "NOT_RUN",
  "external_manuscript_proof_verification": "NOT_CLAIMED",
  "independent_peer_review": "NOT_CLAIMED",
  "neural_performance_benchmark": "NOT_PERFORMED",
  "runs": [
    {
      "name": "python_normal",
      "command": [
        "python",
        "python/verify.py",
        "certificates.json"
      ],
      "exit_code": 0,
      "status": "CHECKS_PASSED",
      "stdout_path": "evidence/python_normal.json",
      "stderr_path": "evidence/python_normal.stderr.json",
      "stdout_sha256": "eb4dab39fc196a2f1f09b9cac36f94ec0d28fae6595b07a349f28fc02dfbed91",
      "stderr_representation": "JSON envelope preserving exact captured text, byte length, and raw-byte SHA-256"
    },
    {
      "name": "python_optimized",
      "command": [
        "python",
        "-O",
        "python/verify.py",
        "certificates.json"
      ],
      "exit_code": 0,
      "status": "CHECKS_PASSED",
      "stdout_path": "evidence/python_optimized.json",
      "stderr_path": "evidence/python_optimized.stderr.json",
      "stdout_sha256": "eb4dab39fc196a2f1f09b9cac36f94ec0d28fae6595b07a349f28fc02dfbed91",
      "stderr_representation": "JSON envelope preserving exact captured text, byte length, and raw-byte SHA-256"
    },
    {
      "name": "adversarial_normal",
      "command": [
        "python",
        "tests/adversarial_audit.py"
      ],
      "exit_code": 0,
      "status": "CHECKS_PASSED",
      "stdout_path": "evidence/adversarial_normal.json",
      "stderr_path": "evidence/adversarial_normal.stderr.json",
      "stdout_sha256": "2bcc7089c39dbf6e24ccf935e46fa4fc826631eafa5070a731ce90b986adb9e6",
      "stderr_representation": "JSON envelope preserving exact captured text, byte length, and raw-byte SHA-256"
    },
    {
      "name": "adversarial_optimized",
      "command": [
        "python",
        "-O",
        "tests/adversarial_audit.py"
      ],
      "exit_code": 0,
      "status": "CHECKS_PASSED",
      "stdout_path": "evidence/adversarial_optimized.json",
      "stderr_path": "evidence/adversarial_optimized.stderr.json",
      "stdout_sha256": "2bcc7089c39dbf6e24ccf935e46fa4fc826631eafa5070a731ce90b986adb9e6",
      "stderr_representation": "JSON envelope preserving exact captured text, byte length, and raw-byte SHA-256"
    },
    {
      "name": "sympy_crosscheck",
      "command": [
        "python",
        "tests/sympy_crosscheck.py"
      ],
      "exit_code": 0,
      "status": "CHECKS_PASSED",
      "stdout_path": "evidence/sympy_crosscheck.json",
      "stderr_path": "evidence/sympy_crosscheck.stderr.json",
      "stdout_sha256": "d43878c732e05527aee9d94277c144f89da4daf6b092e5ae33b1d52c8cde4f59",
      "stderr_representation": "JSON envelope preserving exact captured text, byte length, and raw-byte SHA-256"
    },
    {
      "name": "historical_python_normal",
      "command": [
        "python",
        "provenance/verify_omega_release_bridges.py"
      ],
      "exit_code": 0,
      "status": "CHECKS_PASSED",
      "stdout_path": "evidence/historical_python_normal.txt",
      "stderr_path": "evidence/historical_python_normal.stderr.json",
      "stdout_sha256": "c8134704a10913da4c5a594ce5ae3700724bb99b76fec0cb405c1d742fd40ed4",
      "stderr_representation": "JSON envelope preserving exact captured text, byte length, and raw-byte SHA-256"
    },
    {
      "name": "historical_python_optimized",
      "command": [
        "python",
        "-O",
        "provenance/verify_omega_release_bridges.py"
      ],
      "exit_code": 0,
      "status": "CHECKS_PASSED",
      "stdout_path": "evidence/historical_python_optimized.txt",
      "stderr_path": "evidence/historical_python_optimized.stderr.json",
      "stdout_sha256": "e2a4f036b023a46e32bc9633746078871617f72f9c0d91338fef0ec85a6133c9",
      "stderr_representation": "JSON envelope preserving exact captured text, byte length, and raw-byte SHA-256"
    }
  ],
  "summary": {
    "theorem_records": 34,
    "excluded_or_unestablished_claim_records": 12,
    "algebra_checks": 2314,
    "canonical_seeds": 32768,
    "canonical_transitions": 753664,
    "max_extinction": 10,
    "boolean_floor_cases": 261,
    "adversarial_audit_entries": 65,
    "sympy_exact_checks": 149,
    "historical_verifier_groups": 13
  },
  "comparisons": {
    "primary_normal_optimized_byte_equal": true,
    "adversarial_normal_optimized_byte_equal": true,
    "historical_equal_except_optimization_header": true
  },
  "interpretation": "Executed identities, finite audits, deductive proofs, and unsupported application claims are separate evidence types. Written proofs use their stated hypotheses. No successful Julia/Rust build is inferred from Python execution."
}