{
 "schema_version": "0.2",
 "name": "priced-calculus-55-13-7",
 "code_type": "CSS",
 "n": 55,
 "k": 13,
 "checks": {
  "X": [
   [
    0,
    18,
    24,
    27,
    28,
    33,
    36,
    50
   ],
   [
    1,
    20,
    23,
    27,
    28,
    34,
    35,
    52
   ],
   [
    2,
    15,
    26,
    29,
    30,
    31,
    39,
    53
   ],
   [
    1,
    3,
    22,
    27,
    30,
    32,
    37,
    40
   ],
   [
    4,
    17,
    25,
    29,
    31,
    32,
    37,
    54
   ],
   [
    4,
    6,
    19,
    29,
    33,
    34,
    35,
    43
   ],
   [
    5,
    7,
    25,
    30,
    34,
    36,
    41,
    44
   ],
   [
    2,
    8,
    21,
    31,
    33,
    35,
    36,
    41
   ],
   [
    3,
    9,
    26,
    32,
    34,
    36,
    42,
    43
   ],
   [
    8,
    10,
    23,
    33,
    37,
    38,
    39,
    47
   ],
   [
    2,
    9,
    11,
    34,
    38,
    40,
    45,
    48
   ],
   [
    6,
    12,
    24,
    35,
    37,
    39,
    40,
    45
   ],
   [
    4,
    7,
    13,
    36,
    38,
    40,
    46,
    47
   ],
   [
    0,
    12,
    14,
    37,
    41,
    42,
    43,
    51
   ],
   [
    6,
    13,
    15,
    38,
    42,
    44,
    49,
    52
   ],
   [
    1,
    10,
    16,
    39,
    41,
    43,
    44,
    49
   ],
   [
    8,
    11,
    17,
    40,
    42,
    44,
    50,
    51
   ],
   [
    3,
    16,
    18,
    41,
    45,
    46,
    47,
    54
   ],
   [
    10,
    17,
    19,
    28,
    42,
    46,
    48,
    53
   ],
   [
    12,
    15,
    21,
    27,
    44,
    46,
    48,
    54
   ],
   [
    14,
    21,
    23,
    29,
    32,
    46,
    50,
    52
   ]
  ],
  "Z": [
   [
    0,
    1,
    3,
    21,
    25,
    27,
    32,
    41
   ],
   [
    0,
    1,
    5,
    19,
    26,
    28,
    30,
    43
   ],
   [
    2,
    3,
    5,
    7,
    24,
    30,
    36,
    45
   ],
   [
    2,
    4,
    8,
    22,
    24,
    31,
    33,
    40
   ],
   [
    3,
    4,
    5,
    9,
    23,
    32,
    34,
    47
   ],
   [
    0,
    6,
    8,
    10,
    26,
    33,
    39,
    42
   ],
   [
    1,
    6,
    7,
    9,
    11,
    34,
    40,
    49
   ],
   [
    1,
    6,
    8,
    12,
    25,
    35,
    37,
    44
   ],
   [
    0,
    7,
    8,
    9,
    13,
    36,
    38,
    51
   ],
   [
    3,
    4,
    10,
    12,
    14,
    37,
    43,
    46
   ],
   [
    5,
    10,
    11,
    13,
    15,
    38,
    44,
    53
   ],
   [
    2,
    5,
    10,
    12,
    16,
    39,
    41,
    48
   ],
   [
    3,
    11,
    12,
    13,
    17,
    40,
    42,
    54
   ],
   [
    7,
    8,
    14,
    16,
    18,
    41,
    47,
    50
   ],
   [
    9,
    14,
    15,
    17,
    19,
    29,
    42,
    48
   ],
   [
    6,
    9,
    14,
    16,
    20,
    43,
    45,
    52
   ],
   [
    7,
    15,
    16,
    17,
    21,
    31,
    44,
    46
   ],
   [
    11,
    12,
    18,
    20,
    22,
    27,
    45,
    51
   ],
   [
    13,
    18,
    19,
    21,
    23,
    33,
    46,
    52
   ],
   [
    11,
    19,
    20,
    21,
    24,
    35,
    48,
    50
   ],
   [
    0,
    17,
    22,
    23,
    24,
    28,
    37,
    50
   ]
  ]
 },
 "distance": {
  "d": 7,
  "X": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    9,
    10,
    14,
    38,
    39,
    47,
    49
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-11-01",
    "found_at_samples": 1000,
    "survived_samples": 1000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     0
    ]
   }
  },
  "Z": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    10,
    11,
    18,
    36,
    38,
    41,
    42
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-11-01",
    "found_at_samples": 1000,
    "survived_samples": 1000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "priced calculus E-PUNCTURE transform of codes/56-12-8.json",
  "references": [],
  "date": "2026-11-01",
  "notes": "",
  "model": "Beam 1.0"
 }
}