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  "X": {
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   "confidence": "upper_bound",
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 "provenance": {
  "authors": [
   "@vprusso"
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  "construction": "Open-boundary planar bivariate-bicycle code (Liang, Eberhardt, Chen, arXiv:2504.08887) with f = x + x^2 + y^2 and g = 1 + x^2 y + x^2 y^2 on a 12 x 12 grid (research/local2d/planar.py build_open_directional(12, 12), n = 288, k = 8), reduced to n = 275 by 13 restricted r=1 lattice grafts (arXiv:2504.08887 Sec. III E): a qubit lying in exactly one stabilizer of some type is removed together with that stabilizer, accepted only if k stays 8 and a NumPy RIS search screened at 500 fixed-seed trials and confirmed at 1500 fresh-seed trials finds nothing lighter than 12, followed by the weight-1 stabilizer cleanup of research/local2d/boundary_engine.py. Layout: a surviving qubit of unreduced index q = c*144 + i*12 + j sits at (i + j, j - i + c), one layer, spacing 1.",
  "origin": "submission",
  "date": "2026-09-20",
  "model": "Claude Fable 5.1",
  "notes": "Derived from the flagship planar family at L = (12,12) by r=1 grafting; not an independent construction. Fresh-seed RIS ladder on the saved code: 5000 trials -> 11, 20000 trials -> 11. Claim: d <= 11, a witness-backed upper bound. Advances the weight-6 x local-2d-single board if the gate says so; novelty vs the literature unverified.",
  "search_budget": {
   "candidates_screened": 10,
   "ris_trials_per_side": 1000000,
   "wall_clock_hours": 1.0,
   "tool": "research/kit search funnel, gf2_fast RIS"
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