{
  "schema": "HELIX.CORE.MEASURED_BENCHMARK.PUBLIC.v2",
  "source": {
    "paper": "The Helix Operator: The Exact Integer Helix on the Coprime Substrate",
    "doi": "10.5281/zenodo.21611872",
    "paper_section": "14.1",
    "results_sha256": "9ff580827be8fe9b17998ea94bc3fc25d860202642345fbac2b67395d39ede25",
    "pinned_audit": "2798971f69810f061bd071d47926bbd74de95448ae22b6d72c74f8b9b7ef88be",
    "measurement_session_prefix": "7097ae06d8c07529 (16-char prefix; full digest not retained)"
  },
  "comparison": {
    "quantity": "the same exact Fourier-nullity integer on every floor",
    "reference": "direct exact streaming referee",
    "lattice_os": "receipt-bearing Helix Processor evaluation",
    "projected": false,
    "byte_identical": true
  },
  "measured_rows": [
    {
      "modulus": 1359195,
      "exact_integer": 20980,
      "streaming_referee_seconds": 4.8377062999643385,
      "receipt_bearing_helix_seconds": 0.0003554005001205951,
      "stream_to_receipt_ratio": 13611.985065645096
    },
    {
      "modulus": 10340205,
      "exact_integer": 143128,
      "streaming_referee_seconds": 36.30168140004389,
      "receipt_bearing_helix_seconds": 0.0003362604998983443,
      "stream_to_receipt_ratio": 107957.01966486797
    },
    {
      "modulus": 20663205,
      "exact_integer": 283528,
      "streaming_referee_seconds": 77.44408679998014,
      "receipt_bearing_helix_seconds": 0.00034184199990704655,
      "stream_to_receipt_ratio": 226549.36146242617
    },
    {
      "modulus": 103350435,
      "exact_integer": 1408132,
      "streaming_referee_seconds": 403.38463839993346,
      "receipt_bearing_helix_seconds": 0.000374155500321649,
      "stream_to_receipt_ratio": 1078120.2950461963
    },
    {
      "modulus": 258298665,
      "exact_integer": 3515536,
      "streaming_referee_seconds": 1101.3051734999754,
      "receipt_bearing_helix_seconds": 0.00037381500005722045,
      "stream_to_receipt_ratio": 2946123.5459556114
    },
    {
      "modulus": 607628985,
      "exact_integer": 8266672,
      "streaming_referee_seconds": 2398.176332400064,
      "receipt_bearing_helix_seconds": 0.00036655600008089095,
      "stream_to_receipt_ratio": 6542455.537137132
    },
    {
      "modulus": 881188485,
      "exact_integer": 11987272,
      "streaming_referee_seconds": 3482.0939039000077,
      "receipt_bearing_helix_seconds": 0.0004573395004263148,
      "stream_to_receipt_ratio": 7613805.28175268
    }
  ],
  "measured_headline": {
    "modulus": 881188485,
    "exact_integer": 11987272,
    "streaming_minutes": 58.03489839833346,
    "receipt_bearing_helix_microseconds": 457.33950042631477,
    "sealed_measured_ratio": 7613805.28175268
  },
  "measured_scaling": {
    "streaming_exponent": 1.0161241719473513,
    "receipt_bearing_helix_exponent": 0.03569565070320863,
    "advantage_exponent": 0.9804285212441427
  },
  "scope": {
    "grade": "seven measured floors; no projected time enters the chart",
    "sealed_path_includes": "receipt construction; verification is independently repeatable",
    "omitted_from_public_chart": "raw arithmetic timing and all projected points"
  },
  "audit": "d7eb832b3a8a3a20"
}