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 "distance": {
  "d": 19,
  "X": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
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   "witness_provenance": {
    "found_by": [
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    "date": "2026-10-10",
    "found_at_samples": 1200000,
    "survived_samples": 1200000,
    "tool": "research/kit/surrogate.distance_rand_witness (gf2_fast backend)",
    "seeds": [
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   }
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  "Z": {
   "value": 20,
   "confidence": "upper_bound",
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   "witness_provenance": {
    "found_by": [
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    "date": "2026-10-10",
    "found_at_samples": 6000,
    "survived_samples": 6000,
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 "provenance": {
  "authors": [
   "Steffan, Vincent",
   "Choe, Shin Ho",
   "Breuckmann, Nikolas P.",
   "Pereira, Francisco Revson Fernandes",
   "Eberhardt, Jens Niklas"
  ],
  "origin": "baseline",
  "date": "2026-10-10",
  "model": "Space Bunny Alpha 1.0",
  "references": [
   "arXiv:2504.09171"
  ],
  "construction": "Published tile code of arXiv:2504.09171 (Table 1, [[512,18,19]]), rebuilt from the paper's own specification. Open boundary, B=4 boxes, weight-8 tiles, unrotated square layout of 13x13 bulk tiles -> a 16x16 qubit lattice, 2 qubits per site, n=512, k=18. Tile supports taken verbatim from the arXiv LaTeX source (main.tex lines 690-691, repeated at 763-764), which carries them as literal \\def macros rather than only in a figure: X-tile horizontal edges {(0,0),(0,3),(2,2),(3,0)}, vertical edges {(0,1),(1,0),(1,1),(3,3)}, with the Z-tile the (B-1-x, B-1-y) reflection of the X-tile with the edge orientation swapped (the paper's condition T2). Built with this repo's research/local2d/boundary_engine.build_planar(16,16,S_F_TILE4,((0,1),(1,0),(1,1),(3,3))). That call additionally emits redundant stabilizers of weight 12-18 on the Z side; all of them lie in the row space of the weight-8 rows (rank 247 either way), so the rows of weight > 8 are dropped to recover the paper's weight-8 stabilizer set. Layout is research/local2d/planar.grid_coordinates(16,16,kept=info['kept_qubits']) with layers=2. Calibration: the same tile at 9x9 bulk (a 12x12 qubit lattice) reproduces the paper's other B=4 weight-8 entry, [[288,18,13]], at a witnessed d <= 13.",
  "notes": "Literature baseline, seeded 2026-10-10. arXiv:2504.09171 states d=19 exactly (ILP); recorded here as a witness-backed upper bound (d<=19) pending this repo's own server certification. The bound rests on the X side: a weight-19 logical at 1,200,000 accelerator trials, and nothing lighter was found there or on the Z side. The Z-side witness was screened more shallowly (6,000 NumPy trials) because the accelerator reports only the lighter of the two sides and the X side is the one that bounds the claim; the Z weight only has to be at least the X weight for min(d_X,d_Z) to stay at 19.\n\nCalibration is by the paper's SECOND published B=4 weight-8 code, [[288,18,13]] at 9x9 bulk, where the identical tile reproduces d<=13: the generator matches the paper at two independent published exact distances, not one.\n\nThis is NOT the code behind the board's S_G_TILE4_MAIN entries (codes/800-18-27.json, codes/882-18-29.json, codes/924-18-31.json, codes/968-18-31.json), which carry arXiv:2504.09171 in their provenance. That B-support differs from the published tile in three of four monomials and reproduces d<=18 here, one below the paper. Nor is it the sibling support those entries record, ((0,1),(1,1),(2,0),(3,3)), which differs from the published tile in one monomial and gives d<=11 at 12x12.",
  "search_budget": {
   "ris_trials_per_side": 1200000
  }
 },
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