{
 "schema_version": "0.2",
 "name": "priced-calculus-39-18-3",
 "code_type": "CSS",
 "n": 39,
 "k": 18,
 "checks": {
  "X": [
   [
    0,
    2,
    18,
    19,
    20,
    22,
    23,
    24,
    31,
    34
   ],
   [
    1,
    3,
    18,
    19,
    21,
    23,
    24,
    32,
    33
   ],
   [
    0,
    2,
    16,
    17,
    21,
    25,
    26,
    32,
    33
   ],
   [
    2,
    3,
    4,
    6,
    23,
    26,
    27,
    28,
    35,
    38
   ],
   [
    2,
    3,
    5,
    7,
    24,
    25,
    27,
    28,
    36,
    37
   ],
   [
    0,
    1,
    4,
    6,
    24,
    25,
    29,
    30,
    36,
    37
   ],
   [
    6,
    7,
    8,
    10,
    20,
    22,
    27,
    30,
    31,
    32
   ],
   [
    6,
    7,
    9,
    11,
    21,
    28,
    29,
    31,
    32
   ],
   [
    10,
    11,
    12,
    14,
    23,
    26,
    31,
    34,
    35,
    36
   ],
   [
    10,
    11,
    13,
    15,
    24,
    25,
    32,
    33,
    35,
    36
   ],
   [
    14,
    15,
    16,
    18,
    20,
    27,
    30,
    35,
    38
   ]
  ],
  "Z": [
   [
    0,
    3,
    8,
    11,
    16,
    17,
    20,
    21,
    25,
    26
   ],
   [
    1,
    2,
    9,
    10,
    18,
    19,
    20,
    21,
    23,
    24
   ],
   [
    0,
    1,
    4,
    7,
    12,
    15,
    23,
    25,
    29,
    30
   ],
   [
    0,
    1,
    5,
    6,
    13,
    14,
    24,
    26,
    29,
    30
   ],
   [
    2,
    3,
    5,
    6,
    13,
    14,
    23,
    25,
    27,
    28
   ],
   [
    4,
    5,
    8,
    11,
    16,
    19,
    27,
    29,
    33,
    34
   ],
   [
    6,
    7,
    9,
    10,
    17,
    18,
    27,
    29,
    31,
    32
   ],
   [
    0,
    3,
    8,
    9,
    12,
    15,
    31,
    33,
    37,
    38
   ],
   [
    1,
    2,
    10,
    11,
    13,
    14,
    31,
    33,
    35,
    36
   ],
   [
    4,
    7,
    12,
    13,
    16,
    19,
    21,
    22,
    35,
    37
   ]
  ]
 },
 "distance": {
  "d": 3,
  "X": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    16,
    19,
    20
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-10-31",
    "found_at_samples": 1000,
    "survived_samples": 1000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     0
    ]
   }
  },
  "Z": {
   "value": 4,
   "confidence": "upper_bound",
   "witness": [
    2,
    5,
    26,
    34
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-10-31",
    "found_at_samples": 1000,
    "survived_samples": 1000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "priced calculus E-PEEL transform of codes/40-18-4.json",
  "references": [],
  "date": "2026-10-31",
  "notes": "",
  "model": "Beam 1.0"
 }
}
