{
 "schema_version": "0.5",
 "name": "[[34,17,3]] priced-calculus deletion",
 "code_type": "CSS",
 "n": 34,
 "k": 17,
 "checks": {
  "X": [
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    0,
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    16,
    17,
    23,
    24,
    30,
    32
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   [
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    20,
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   ],
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    7,
    8,
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    21,
    23,
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   ]
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  "Z": [
   [
    0,
    2,
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    33
   ],
   [
    1,
    3,
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    17,
    18,
    19,
    22,
    31
   ],
   [
    2,
    4,
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   ],
   [
    3,
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    20,
    21,
    24,
    33
   ],
   [
    4,
    6,
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    14,
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    17,
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    21,
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   ],
   [
    5,
    7,
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    15,
    16,
    18,
    21,
    22,
    23,
    26
   ],
   [
    0,
    6,
    8,
    10,
    16,
    19,
    22,
    23,
    24,
    27
   ],
   [
    0,
    1,
    7,
    9,
    11,
    20,
    23,
    24,
    25,
    28
   ],
   [
    1,
    2,
    8,
    10,
    12,
    21,
    24,
    25,
    26,
    29
   ]
  ]
 },
 "distance": {
  "d": 3,
  "X": {
   "value": 4,
   "confidence": "upper_bound",
   "witness": [
    11,
    28,
    30,
    31
   ]
  },
  "Z": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    0,
    11,
    24
   ]
  }
 },
 "provenance": {
  "authors": [
   "@MathysRennela"
  ],
  "construction": "C-DELETE-CHECK a5 from 34-16-4.json",
  "origin": "submission",
  "date": "2026-10-25",
  "model": "Beam 1.0",
  "search_budget": {
   "candidates_screened": 9880000,
   "ris_trials_per_side": 30000000,
   "cpu_hours": 3,
   "tool": "research/kit 2BGA sweep + gf2_fast on Brev n2d-highcpu-64"
  },
  "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."
 }
}