{
 "schema_version": "0.2",
 "name": "[[11,3,3]] priced-calculus puncture",
 "code_type": "CSS",
 "n": 11,
 "k": 3,
 "checks": {
  "X": [
   [
    0,
    1,
    2,
    3
   ],
   [
    4,
    5,
    6,
    7
   ],
   [
    0,
    1,
    4,
    5,
    8,
    9
   ],
   [
    0,
    2,
    4,
    6,
    8,
    10
   ]
  ],
  "Z": [
   [
    0,
    1,
    2,
    3
   ],
   [
    4,
    5,
    6,
    7
   ],
   [
    0,
    2,
    4,
    5,
    9,
    10
   ],
   [
    0,
    1,
    5,
    6,
    8,
    10
   ]
  ]
 },
 "distance": {
  "d": 3,
  "X": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    0,
    1,
    9
   ]
  },
  "Z": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    0,
    1,
    10
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "E-PUNCTURE q=11 from 12-2-4-b.json",
  "references": [],
  "date": "2026-10-24",
  "notes": "Generated by the priced construction calculus. Distance is reported only with witness-backed upper bounds; lower interval bounds are kept in the separate local ledger. The layout is inherited from the parent and restricted to the qubits the child kept.",
  "model": "Beam 1.0",
  "origin": "submission"
 },
 "locality": {
  "coordinates": [
   [
    0.0,
    0.0
   ],
   [
    0.0,
    1.0
   ],
   [
    1.0,
    0.0
   ],
   [
    1.0,
    1.0
   ],
   [
    2.0,
    0.0
   ],
   [
    2.0,
    1.0
   ],
   [
    3.0,
    0.0
   ],
   [
    3.0,
    1.0
   ],
   [
    4.0,
    0.0
   ],
   [
    4.0,
    1.0
   ],
   [
    5.0,
    0.0
   ]
  ],
  "layers": 1,
  "interaction_radius": 5.0991
 },
 "circuit": {
  "d_circ": {
   "Z": {
    "value": 3,
    "confidence": "upper_bound",
    "witness": [
     71,
     92,
     290
    ]
   },
   "X": {
    "value": 3,
    "confidence": "upper_bound",
    "witness": [
     19,
     22,
     89
    ]
   }
  },
  "rounds": 3,
  "stim_version": "1.16.0",
  "notes": "Johnson-coil + 4 span flags sequential extraction (max_flags=3 per check, 6 X + 6 Z edge-colored data CX layers per round, coloring candidate 0); 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)",
  "contributed_by": {
   "by": [
    "@vprusso"
   ],
   "date": "2026-11-06",
   "method": "circuit_autogen schedule search (two-block interleaved, then layout, then generic), verified by verify/circuit_verify.py before writing"
  }
 }
}