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 "distance": {
  "d": 4,
  "X": {
   "value": 4,
   "confidence": "upper_bound",
   "witness": [
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  "Z": {
   "value": 4,
   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "Cornucopia code q=5 (arXiv:2610.19073v2) with column shifts sA=[4,0,3,3,4,0], sB=[1,3,3,2,1,0] found by a 200-tuple random shift search.",
  "origin": "submission",
  "date": "2026-10-21",
  "model": "Beam 1.0",
  "notes": "Distinct code filed as codes/180-94-4-b.json: WL-signature match to 180-94-4.json but a different parity-check fingerprint (different column-shift tuple of the same Cornucopia construction), so both are separate entries on the Pareto frontier."
 },
 "family": "other",
 "circuit": {
  "d_circ": {
   "Z": {
    "value": 3,
    "confidence": "upper_bound",
    "witness": [
     19885,
     19890,
     22974
    ]
   },
   "X": {
    "value": 3,
    "confidence": "upper_bound",
    "witness": [
     15168,
     15169,
     20102
    ]
   }
  },
  "rounds": 4,
  "stim_version": "1.16.0",
  "notes": "Generic sequential two-block extraction: one ancilla per check, X checks then Z checks each round with joint reset and measurement layers; CX layers are a proper edge coloring of each Tanner graph (13 X + 13 Z CX layers per round, coloring candidate 2); generated by qldpc submit (research/circuit_autogen.py, seed 0), the first of up to 6 candidates whose RIS screen at 2 rounds found nothing below d; witnesses from RIS on ker(H_dem) at twice the gate's trial budget, validated in GF(2)"
 }
}