{
 "schema_version": "0.2",
 "name": "gap-171-49-7",
 "code_type": "CSS",
 "n": 171,
 "k": 49,
 "checks": {
  "X": [
   [
    0,
    20,
    40,
    60,
    80,
    100,
    120,
    140,
    166
   ],
   [
    1,
    21,
    41,
    61,
    81,
    101,
    121,
    141,
    166,
    169,
    170
   ],
   [
    2,
    22,
    42,
    62,
    82,
    102,
    122,
    142,
    167,
    169,
    170
   ],
   [
    3,
    23,
    43,
    63,
    83,
    103,
    123,
    143,
    166,
    170
   ],
   [
    4,
    24,
    44,
    64,
    84,
    104,
    124,
    144,
    165,
    170
   ],
   [
    5,
    25,
    45,
    65,
    85,
    105,
    125,
    145,
    167,
    170
   ],
   [
    6,
    26,
    46,
    66,
    86,
    106,
    126,
    146,
    167,
    168
   ],
   [
    7,
    27,
    47,
    67,
    87,
    107,
    127,
    147,
    165,
    168,
    170
   ],
   [
    8,
    28,
    48,
    68,
    88,
    108,
    128,
    148,
    165,
    169
   ],
   [
    9,
    29,
    49,
    69,
    89,
    109,
    129,
    149,
    166,
    168,
    169,
    170
   ],
   [
    10,
    30,
    50,
    70,
    90,
    110,
    130,
    150,
    166,
    169
   ],
   [
    11,
    31,
    51,
    71,
    91,
    111,
    131,
    151,
    167,
    168,
    170
   ],
   [
    12,
    32,
    52,
    72,
    92,
    112,
    132,
    152,
    167,
    169
   ],
   [
    14,
    34,
    54,
    74,
    94,
    114,
    134,
    153,
    167
   ],
   [
    15,
    35,
    55,
    75,
    95,
    115,
    135,
    154,
    165,
    168
   ],
   [
    16,
    36,
    56,
    76,
    96,
    116,
    136,
    155,
    166,
    168,
    169
   ],
   [
    17,
    37,
    57,
    77,
    97,
    117,
    137,
    156,
    165,
    166,
    167,
    168
   ],
   [
    18,
    38,
    58,
    78,
    98,
    118,
    138,
    157,
    165
   ],
   [
    19,
    39,
    59,
    79,
    99,
    119,
    139,
    158,
    165,
    169,
    170
   ],
   [
    4,
    7,
    8,
    13,
    15,
    17,
    18,
    19,
    159
   ],
   [
    0,
    1,
    3,
    9,
    10,
    13,
    16,
    17,
    160
   ],
   [
    2,
    5,
    6,
    11,
    12,
    13,
    14,
    17,
    161
   ],
   [
    6,
    7,
    9,
    11,
    13,
    15,
    16,
    17,
    162
   ],
   [
    1,
    2,
    8,
    9,
    10,
    12,
    16,
    19,
    163
   ],
   [
    1,
    2,
    3,
    4,
    5,
    7,
    9,
    11,
    13,
    19,
    164
   ],
   [
    24,
    27,
    28,
    33,
    35,
    37,
    38,
    39,
    159
   ],
   [
    20,
    21,
    23,
    29,
    30,
    33,
    36,
    37,
    160
   ],
   [
    22,
    25,
    26,
    31,
    32,
    33,
    34,
    37,
    161
   ],
   [
    26,
    27,
    29,
    31,
    33,
    35,
    36,
    37,
    162
   ],
   [
    21,
    22,
    28,
    29,
    30,
    32,
    36,
    39,
    163
   ],
   [
    21,
    22,
    23,
    24,
    25,
    27,
    29,
    31,
    33,
    39,
    164
   ],
   [
    44,
    47,
    48,
    53,
    55,
    57,
    58,
    59,
    159
   ],
   [
    40,
    41,
    43,
    49,
    50,
    53,
    56,
    57,
    160
   ],
   [
    42,
    45,
    46,
    51,
    52,
    53,
    54,
    57,
    161
   ],
   [
    46,
    47,
    49,
    51,
    53,
    55,
    56,
    57,
    162
   ],
   [
    41,
    42,
    48,
    49,
    50,
    52,
    56,
    59,
    163
   ],
   [
    41,
    42,
    43,
    44,
    45,
    47,
    49,
    51,
    53,
    59,
    164
   ],
   [
    64,
    67,
    68,
    73,
    75,
    77,
    78,
    79,
    159
   ],
   [
    60,
    61,
    63,
    69,
    70,
    73,
    76,
    77,
    160
   ],
   [
    62,
    65,
    66,
    71,
    72,
    73,
    74,
    77,
    161
   ],
   [
    66,
    67,
    69,
    71,
    73,
    75,
    76,
    77,
    162
   ],
   [
    61,
    62,
    68,
    69,
    70,
    72,
    76,
    79,
    163
   ],
   [
    61,
    62,
    63,
    64,
    65,
    67,
    69,
    71,
    73,
    79,
    164
   ],
   [
    84,
    87,
    88,
    93,
    95,
    97,
    98,
    99,
    159
   ],
   [
    80,
    81,
    83,
    89,
    90,
    93,
    96,
    97,
    160
   ],
   [
    82,
    85,
    86,
    91,
    92,
    93,
    94,
    97,
    161
   ],
   [
    86,
    87,
    89,
    91,
    93,
    95,
    96,
    97,
    162
   ],
   [
    81,
    82,
    88,
    89,
    90,
    92,
    96,
    99,
    163
   ],
   [
    81,
    82,
    83,
    84,
    85,
    87,
    89,
    91,
    93,
    99,
    164
   ],
   [
    104,
    107,
    108,
    113,
    115,
    117,
    118,
    119,
    159
   ],
   [
    100,
    101,
    103,
    109,
    110,
    113,
    116,
    117,
    160
   ],
   [
    102,
    105,
    106,
    111,
    112,
    113,
    114,
    117,
    161
   ],
   [
    106,
    107,
    109,
    111,
    113,
    115,
    116,
    117,
    162
   ],
   [
    101,
    102,
    108,
    109,
    110,
    112,
    116,
    119,
    163
   ],
   [
    101,
    102,
    103,
    104,
    105,
    107,
    109,
    111,
    113,
    119,
    164
   ],
   [
    124,
    127,
    128,
    133,
    135,
    137,
    138,
    139,
    159
   ],
   [
    120,
    121,
    123,
    129,
    130,
    133,
    136,
    137,
    160
   ],
   [
    122,
    125,
    126,
    131,
    132,
    133,
    134,
    137,
    161
   ],
   [
    126,
    127,
    129,
    131,
    133,
    135,
    136,
    137,
    162
   ],
   [
    121,
    122,
    128,
    129,
    130,
    132,
    136,
    139,
    163
   ],
   [
    121,
    122,
    123,
    124,
    125,
    127,
    129,
    131,
    133,
    139,
    164
   ]
  ],
  "Z": [
   [
    0,
    20,
    40,
    60,
    80,
    100,
    120,
    140,
    160
   ],
   [
    1,
    21,
    41,
    61,
    81,
    101,
    121,
    141,
    160,
    163,
    164
   ],
   [
    2,
    22,
    42,
    62,
    82,
    102,
    122,
    142,
    161,
    163,
    164
   ],
   [
    3,
    23,
    43,
    63,
    83,
    103,
    123,
    143,
    160,
    164
   ],
   [
    4,
    24,
    44,
    64,
    84,
    104,
    124,
    144,
    159,
    164
   ],
   [
    5,
    25,
    45,
    65,
    85,
    105,
    125,
    145,
    161,
    164
   ],
   [
    6,
    26,
    46,
    66,
    86,
    106,
    126,
    146,
    161,
    162
   ],
   [
    7,
    27,
    47,
    67,
    87,
    107,
    127,
    147,
    159,
    162,
    164
   ],
   [
    8,
    28,
    48,
    68,
    88,
    108,
    128,
    148,
    159,
    163
   ],
   [
    9,
    29,
    49,
    69,
    89,
    109,
    129,
    149,
    160,
    162,
    163,
    164
   ],
   [
    10,
    30,
    50,
    70,
    90,
    110,
    130,
    150,
    160,
    163
   ],
   [
    11,
    31,
    51,
    71,
    91,
    111,
    131,
    151,
    161,
    162,
    164
   ],
   [
    12,
    32,
    52,
    72,
    92,
    112,
    132,
    152,
    161,
    163
   ],
   [
    14,
    34,
    54,
    74,
    94,
    114,
    134,
    153,
    161
   ],
   [
    15,
    35,
    55,
    75,
    95,
    115,
    135,
    154,
    159,
    162
   ],
   [
    16,
    36,
    56,
    76,
    96,
    116,
    136,
    155,
    160,
    162,
    163
   ],
   [
    17,
    37,
    57,
    77,
    97,
    117,
    137,
    156,
    159,
    160,
    161,
    162
   ],
   [
    18,
    38,
    58,
    78,
    98,
    118,
    138,
    157,
    159
   ],
   [
    19,
    39,
    59,
    79,
    99,
    119,
    139,
    158,
    159,
    163,
    164
   ],
   [
    4,
    7,
    8,
    13,
    15,
    17,
    18,
    19,
    165
   ],
   [
    0,
    1,
    3,
    9,
    10,
    13,
    16,
    17,
    166
   ],
   [
    2,
    5,
    6,
    11,
    12,
    13,
    14,
    17,
    167
   ],
   [
    6,
    7,
    9,
    11,
    13,
    15,
    16,
    17,
    168
   ],
   [
    1,
    2,
    8,
    9,
    10,
    12,
    16,
    19,
    169
   ],
   [
    1,
    2,
    3,
    4,
    5,
    7,
    9,
    11,
    13,
    19,
    170
   ],
   [
    24,
    27,
    28,
    33,
    35,
    37,
    38,
    39,
    165
   ],
   [
    20,
    21,
    23,
    29,
    30,
    33,
    36,
    37,
    166
   ],
   [
    22,
    25,
    26,
    31,
    32,
    33,
    34,
    37,
    167
   ],
   [
    26,
    27,
    29,
    31,
    33,
    35,
    36,
    37,
    168
   ],
   [
    21,
    22,
    28,
    29,
    30,
    32,
    36,
    39,
    169
   ],
   [
    21,
    22,
    23,
    24,
    25,
    27,
    29,
    31,
    33,
    39,
    170
   ],
   [
    44,
    47,
    48,
    53,
    55,
    57,
    58,
    59,
    165
   ],
   [
    40,
    41,
    43,
    49,
    50,
    53,
    56,
    57,
    166
   ],
   [
    42,
    45,
    46,
    51,
    52,
    53,
    54,
    57,
    167
   ],
   [
    46,
    47,
    49,
    51,
    53,
    55,
    56,
    57,
    168
   ],
   [
    41,
    42,
    48,
    49,
    50,
    52,
    56,
    59,
    169
   ],
   [
    41,
    42,
    43,
    44,
    45,
    47,
    49,
    51,
    53,
    59,
    170
   ],
   [
    64,
    67,
    68,
    73,
    75,
    77,
    78,
    79,
    165
   ],
   [
    60,
    61,
    63,
    69,
    70,
    73,
    76,
    77,
    166
   ],
   [
    62,
    65,
    66,
    71,
    72,
    73,
    74,
    77,
    167
   ],
   [
    66,
    67,
    69,
    71,
    73,
    75,
    76,
    77,
    168
   ],
   [
    61,
    62,
    68,
    69,
    70,
    72,
    76,
    79,
    169
   ],
   [
    61,
    62,
    63,
    64,
    65,
    67,
    69,
    71,
    73,
    79,
    170
   ],
   [
    84,
    87,
    88,
    93,
    95,
    97,
    98,
    99,
    165
   ],
   [
    80,
    81,
    83,
    89,
    90,
    93,
    96,
    97,
    166
   ],
   [
    82,
    85,
    86,
    91,
    92,
    93,
    94,
    97,
    167
   ],
   [
    86,
    87,
    89,
    91,
    93,
    95,
    96,
    97,
    168
   ],
   [
    81,
    82,
    88,
    89,
    90,
    92,
    96,
    99,
    169
   ],
   [
    81,
    82,
    83,
    84,
    85,
    87,
    89,
    91,
    93,
    99,
    170
   ],
   [
    104,
    107,
    108,
    113,
    115,
    117,
    118,
    119,
    165
   ],
   [
    100,
    101,
    103,
    109,
    110,
    113,
    116,
    117,
    166
   ],
   [
    102,
    105,
    106,
    111,
    112,
    113,
    114,
    117,
    167
   ],
   [
    106,
    107,
    109,
    111,
    113,
    115,
    116,
    117,
    168
   ],
   [
    101,
    102,
    108,
    109,
    110,
    112,
    116,
    119,
    169
   ],
   [
    101,
    102,
    103,
    104,
    105,
    107,
    109,
    111,
    113,
    119,
    170
   ],
   [
    124,
    127,
    128,
    133,
    135,
    137,
    138,
    139,
    165
   ],
   [
    120,
    121,
    123,
    129,
    130,
    133,
    136,
    137,
    166
   ],
   [
    122,
    125,
    126,
    131,
    132,
    133,
    134,
    137,
    167
   ],
   [
    126,
    127,
    129,
    131,
    133,
    135,
    136,
    137,
    168
   ],
   [
    121,
    122,
    128,
    129,
    130,
    132,
    136,
    139,
    169
   ],
   [
    121,
    122,
    123,
    124,
    125,
    127,
    129,
    131,
    133,
    139,
    170
   ]
  ]
 },
 "distance": {
  "d": 7,
  "X": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    69,
    73,
    76,
    77,
    149,
    155,
    156
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-11-02",
    "found_at_samples": 1000,
    "survived_samples": 1000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     0
    ]
   }
  },
  "Z": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    80,
    85,
    93,
    95,
    140,
    145,
    154
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-11-02",
    "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/172-48-8.json",
  "references": [],
  "date": "2026-11-02",
  "notes": "",
  "model": "Beam 1.0"
 },
 "locality": {
  "coordinates": [
   [
    1.0,
    8.0
   ],
   [
    1.0,
    7.0
   ],
   [
    2.0,
    8.0
   ],
   [
    0.0,
    5.0
   ],
   [
    1.0,
    2.0
   ],
   [
    3.0,
    7.0
   ],
   [
    6.0,
    3.0
   ],
   [
    1.0,
    2.0
   ],
   [
    4.0,
    3.0
   ],
   [
    1.0,
    3.0
   ],
   [
    1.0,
    8.0
   ],
   [
    3.0,
    2.0
   ],
   [
    3.0,
    8.0
   ],
   [
    3.0,
    4.0
   ],
   [
    7.0,
    7.0
   ],
   [
    4.0,
    0.0
   ],
   [
    2.0,
    3.0
   ],
   [
    2.0,
    3.0
   ],
   [
    5.0,
    0.0
   ],
   [
    1.0,
    3.0
   ],
   [
    1.0,
    9.0
   ],
   [
    2.0,
    9.0
   ],
   [
    3.0,
    9.0
   ],
   [
    1.0,
    6.0
   ],
   [
    5.0,
    6.0
   ],
   [
    5.0,
    8.0
   ],
   [
    6.0,
    5.0
   ],
   [
    3.0,
    4.0
   ],
   [
    4.0,
    6.0
   ],
   [
    1.0,
    6.0
   ],
   [
    0.0,
    7.0
   ],
   [
    4.0,
    7.0
   ],
   [
    4.0,
    9.0
   ],
   [
    3.0,
    7.0
   ],
   [
    7.0,
    8.0
   ],
   [
    3.0,
    1.0
   ],
   [
    2.0,
    7.0
   ],
   [
    2.0,
    7.0
   ],
   [
    2.0,
    1.0
   ],
   [
    0.0,
    6.0
   ],
   [
    6.0,
    9.0
   ],
   [
    6.0,
    8.0
   ],
   [
    8.0,
    8.0
   ],
   [
    5.0,
    5.0
   ],
   [
    7.0,
    3.0
   ],
   [
    9.0,
    5.0
   ],
   [
    9.0,
    3.0
   ],
   [
    6.0,
    4.0
   ],
   [
    7.0,
    4.0
   ],
   [
    6.0,
    6.0
   ],
   [
    6.0,
    9.0
   ],
   [
    9.0,
    3.0
   ],
   [
    8.0,
    8.0
   ],
   [
    8.0,
    3.0
   ],
   [
    9.0,
    8.0
   ],
   [
    8.0,
    2.0
   ],
   [
    7.0,
    5.0
   ],
   [
    8.0,
    4.0
   ],
   [
    6.0,
    0.0
   ],
   [
    6.0,
    4.0
   ],
   [
    6.0,
    6.0
   ],
   [
    3.0,
    3.0
   ],
   [
    5.0,
    4.0
   ],
   [
    3.0,
    2.0
   ],
   [
    7.0,
    0.0
   ],
   [
    8.0,
    3.0
   ],
   [
    8.0,
    1.0
   ],
   [
    6.0,
    1.0
   ],
   [
    5.0,
    1.0
   ],
   [
    4.0,
    1.0
   ],
   [
    4.0,
    3.0
   ],
   [
    8.0,
    2.0
   ],
   [
    5.0,
    5.0
   ],
   [
    7.0,
    2.0
   ],
   [
    7.0,
    4.0
   ],
   [
    5.0,
    0.0
   ],
   [
    3.0,
    1.0
   ],
   [
    5.0,
    1.0
   ],
   [
    4.0,
    0.0
   ],
   [
    4.0,
    1.0
   ],
   [
    1.0,
    9.0
   ],
   [
    1.0,
    5.0
   ],
   [
    2.0,
    6.0
   ],
   [
    0.0,
    6.0
   ],
   [
    1.0,
    1.0
   ],
   [
    3.0,
    6.0
   ],
   [
    5.0,
    3.0
   ],
   [
    2.0,
    1.0
   ],
   [
    3.0,
    5.0
   ],
   [
    0.0,
    5.0
   ],
   [
    0.0,
    8.0
   ],
   [
    4.0,
    2.0
   ],
   [
    3.0,
    8.0
   ],
   [
    2.0,
    5.0
   ],
   [
    4.0,
    8.0
   ],
   [
    3.0,
    0.0
   ],
   [
    2.0,
    6.0
   ],
   [
    2.0,
    5.0
   ],
   [
    2.0,
    0.0
   ],
   [
    0.0,
    4.0
   ],
   [
    5.0,
    9.0
   ],
   [
    6.0,
    8.0
   ],
   [
    8.0,
    7.0
   ],
   [
    4.0,
    8.0
   ],
   [
    6.0,
    2.0
   ],
   [
    9.0,
    7.0
   ],
   [
    9.0,
    6.0
   ],
   [
    6.0,
    2.0
   ],
   [
    8.0,
    6.0
   ],
   [
    6.0,
    7.0
   ],
   [
    5.0,
    9.0
   ],
   [
    9.0,
    4.0
   ],
   [
    8.0,
    9.0
   ],
   [
    8.0,
    5.0
   ],
   [
    8.0,
    9.0
   ],
   [
    7.0,
    2.0
   ],
   [
    7.0,
    6.0
   ],
   [
    8.0,
    5.0
   ],
   [
    6.0,
    1.0
   ],
   [
    5.0,
    6.0
   ],
   [
    7.0,
    8.0
   ],
   [
    6.0,
    7.0
   ],
   [
    8.0,
    6.0
   ],
   [
    5.0,
    7.0
   ],
   [
    7.0,
    1.0
   ],
   [
    9.0,
    7.0
   ],
   [
    9.0,
    5.0
   ],
   [
    7.0,
    1.0
   ],
   [
    7.0,
    3.0
   ],
   [
    5.0,
    4.0
   ],
   [
    5.0,
    8.0
   ],
   [
    9.0,
    4.0
   ],
   [
    8.0,
    7.0
   ],
   [
    8.0,
    4.0
   ],
   [
    9.0,
    8.0
   ],
   [
    8.0,
    1.0
   ],
   [
    6.0,
    3.0
   ],
   [
    7.0,
    5.0
   ],
   [
    6.0,
    0.0
   ],
   [
    6.0,
    5.0
   ],
   [
    2.0,
    9.0
   ],
   [
    1.0,
    7.0
   ],
   [
    2.0,
    8.0
   ],
   [
    0.0,
    4.0
   ],
   [
    2.0,
    2.0
   ],
   [
    5.0,
    7.0
   ],
   [
    4.0,
    5.0
   ],
   [
    2.0,
    2.0
   ],
   [
    3.0,
    3.0
   ],
   [
    1.0,
    4.0
   ],
   [
    0.0,
    7.0
   ],
   [
    3.0,
    5.0
   ],
   [
    3.0,
    9.0
   ],
   [
    4.0,
    9.0
   ],
   [
    3.0,
    0.0
   ],
   [
    1.0,
    4.0
   ],
   [
    2.0,
    4.0
   ],
   [
    1.0,
    0.0
   ],
   [
    1.0,
    5.0
   ],
   [
    5.0,
    3.0
   ],
   [
    4.0,
    7.0
   ],
   [
    7.0,
    6.0
   ],
   [
    5.0,
    2.0
   ],
   [
    4.0,
    5.0
   ],
   [
    4.0,
    4.0
   ],
   [
    4.0,
    2.0
   ],
   [
    3.0,
    6.0
   ],
   [
    7.0,
    7.0
   ],
   [
    5.0,
    2.0
   ],
   [
    4.0,
    6.0
   ],
   [
    4.0,
    4.0
   ]
  ],
  "layers": 2,
  "contributed_by": {
   "by": [
    "@vprusso"
   ],
   "date": "2026-11-04",
   "method": "Inherited from the laid-out parent codes/172-48-8.json: the parent's coordinates with the entry of the removed qubit (parent index 153) dropped, since this puncture child keeps the parent's qubit order. Radius, layer count, and class re-measured by the verifier."
  }
 },
 "circuit": {
  "d_circ": {
   "Z": {
    "value": 7,
    "confidence": "upper_bound",
    "witness": [
     101047,
     101051,
     101095,
     101099,
     101103,
     101107,
     101133
    ]
   },
   "X": {
    "value": 7,
    "confidence": "upper_bound",
    "witness": [
     100963,
     100969,
     101012,
     101015,
     101085,
     101088,
     101131
    ]
   }
  },
  "rounds": 7,
  "stim_version": "1.16.0",
  "notes": "Johnson-coil + 4 span flags sequential extraction (max_flags=6 per check, 13 X + 12 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"
  }
 }
}
