{
  "schema": "bmcte_extension_v1",
  "generated_at_utc": "2026-06-22T18:59:36.291813+00:00",
  "claim_boundary": "bmcte-regime-extension-empirical",
  "parameters": {
    "N_values": [
      20000
    ],
    "p_values": [
      12,
      14
    ],
    "K_values": [
      1000
    ],
    "seeds": 5,
    "force_cpu": true
  },
  "hardware": {
    "cuda": false,
    "gpu": null,
    "cpu_threads": 18
  },
  "results": [
    {
      "N": 20000,
      "p": 12,
      "K": 1000,
      "seed": 0,
      "lambda_theory": 0.992826,
      "entropy_measured": 11.472225,
      "nonzero_modes": 8832,
      "weight_mean": 0.0,
      "weight_variance": 0.0,
      "weight_cv": 0.0,
      "ryser_overflow": false,
      "used_shots": 1000,
      "runtime_ms": 4214.7,
      "used_gpu": false
    },
    {
      "N": 20000,
      "p": 12,
      "K": 1000,
      "seed": 1,
      "lambda_theory": 0.992826,
      "entropy_measured": 11.672839,
      "nonzero_modes": 8830,
      "weight_mean": 0.0,
      "weight_variance": 0.0,
      "weight_cv": 0.0,
      "ryser_overflow": false,
      "used_shots": 1000,
      "runtime_ms": 4313.1,
      "used_gpu": false
    },
    {
      "N": 20000,
      "p": 12,
      "K": 1000,
      "seed": 2,
      "lambda_theory": 0.992826,
      "entropy_measured": 11.593152,
      "nonzero_modes": 8870,
      "weight_mean": 0.0,
      "weight_variance": 0.0,
      "weight_cv": 0.0,
      "ryser_overflow": false,
      "used_shots": 1000,
      "runtime_ms": 4089.6,
      "used_gpu": false
    },
    {
      "N": 20000,
      "p": 12,
      "K": 1000,
      "seed": 3,
      "lambda_theory": 0.992826,
      "entropy_measured": 11.73728,
      "nonzero_modes": 8843,
      "weight_mean": 0.0,
      "weight_variance": 0.0,
      "weight_cv": 0.0,
      "ryser_overflow": false,
      "used_shots": 1000,
      "runtime_ms": 3913.0,
      "used_gpu": false
    },
    {
      "N": 20000,
      "p": 12,
      "K": 1000,
      "seed": 4,
      "lambda_theory": 0.992826,
      "entropy_measured": 11.557188,
      "nonzero_modes": 8852,
      "weight_mean": 0.0,
      "weight_variance": 0.0,
      "weight_cv": 0.0,
      "ryser_overflow": false,
      "used_shots": 1000,
      "runtime_ms": 4110.9,
      "used_gpu": false
    },
    {
      "N": 20000,
      "p": 14,
      "K": 1000,
      "seed": 0,
      "lambda_theory": 0.990248,
      "entropy_measured": 11.899455,
      "nonzero_modes": 9891,
      "weight_mean": 0.0,
      "weight_variance": 0.0,
      "weight_cv": 0.0,
      "ryser_overflow": false,
      "used_shots": 1000,
      "runtime_ms": 10535.4,
      "used_gpu": false
    },
    {
      "N": 20000,
      "p": 14,
      "K": 1000,
      "seed": 1,
      "lambda_theory": 0.990248,
      "entropy_measured": 11.609291,
      "nonzero_modes": 9874,
      "weight_mean": 0.0,
      "weight_variance": 0.0,
      "weight_cv": 0.0,
      "ryser_overflow": false,
      "used_shots": 1000,
      "runtime_ms": 11457.7,
      "used_gpu": false
    },
    {
      "N": 20000,
      "p": 14,
      "K": 1000,
      "seed": 2,
      "lambda_theory": 0.990248,
      "entropy_measured": 11.792069,
      "nonzero_modes": 9921,
      "weight_mean": 0.0,
      "weight_variance": 0.0,
      "weight_cv": 0.0,
      "ryser_overflow": false,
      "used_shots": 1000,
      "runtime_ms": 10024.0,
      "used_gpu": false
    },
    {
      "N": 20000,
      "p": 14,
      "K": 1000,
      "seed": 3,
      "lambda_theory": 0.990248,
      "entropy_measured": 11.71882,
      "nonzero_modes": 9913,
      "weight_mean": 0.0,
      "weight_variance": 0.0,
      "weight_cv": 0.0,
      "ryser_overflow": false,
      "used_shots": 1000,
      "runtime_ms": 10300.4,
      "used_gpu": false
    },
    {
      "N": 20000,
      "p": 14,
      "K": 1000,
      "seed": 4,
      "lambda_theory": 0.990248,
      "entropy_measured": 11.47579,
      "nonzero_modes": 9891,
      "weight_mean": 0.0,
      "weight_variance": 0.0,
      "weight_cv": 0.0,
      "ryser_overflow": false,
      "used_shots": 1000,
      "runtime_ms": 10592.1,
      "used_gpu": false
    }
  ],
  "analysis": {
    "grid_points": 2,
    "analysis": [
      {
        "N": 20000,
        "p": 12,
        "lambda_theory": 0.992826,
        "entropy_mean": 11.606537,
        "entropy_std": 0.091808,
        "entropy_min": 11.472225,
        "entropy_max": 11.73728,
        "nonzero_modes_mean": 8845.4,
        "weight_cv_mean": 0.0,
        "runtime_ms_mean": 4128.3,
        "runtime_ms_std": 134.0,
        "overflow_count": 0,
        "n_runs": 5
      },
      {
        "N": 20000,
        "p": 14,
        "lambda_theory": 0.990248,
        "entropy_mean": 11.699085,
        "entropy_std": 0.146361,
        "entropy_min": 11.47579,
        "entropy_max": 11.899455,
        "nonzero_modes_mean": 9898.0,
        "weight_cv_mean": 0.0,
        "runtime_ms_mean": 10581.9,
        "runtime_ms_std": 481.6,
        "overflow_count": 0,
        "n_runs": 5
      }
    ]
  },
  "dag": {
    "mermaid": "graph TD\n    input[\"\u2705 Input Grid\"]\n    grid[\"\u2705 Expand Grid (10 runs)\"]\n    run_N20000_p12[\"\u2705 N=20000, p=12 (5 runs, CPU)\"]\n    run_N20000_p14[\"\u2705 N=20000, p=14 (5 runs, CPU)\"]\n    collect[\"\u2705 Collect Results\"]\n    analyze[\"\u2705 Analyze (aggregate by N,p)\"]\n    receipt[\"\u23f3 Write Receipt JSON\"]\n    db[\"\u23f3 DB (skipped)\"]\n    input --> grid\n    grid --> run_N20000_p12\n    grid --> run_N20000_p14\n    run_N20000_p12 --> collect\n    run_N20000_p14 --> collect\n    collect --> analyze\n    analyze --> receipt\n    receipt --> db",
    "ascii": "[x] Input Grid\n  [x] Expand Grid (10 runs)\n    [x] N=20000, p=12 (5 runs, CPU)\n      [x] Collect Results (73610ms)\n        [x] Analyze (aggregate by N,p) (1ms)\n          [ ] Write Receipt JSON\n            [ ] DB (skipped)\n    [x] N=20000, p=14 (5 runs, CPU)",
    "summary": {
      "total_nodes": 8,
      "done": 6,
      "pending": 2,
      "total_ms": 73610.88395118713
    }
  },
  "total_runtime_s": 73.61,
  "receipt_sha256": "1e1d282156a7e58f1f473db5b6b007faa79e599202c7c47d9a023ddecbf4deb8"
}