{
 "tm": "1RB0RF_1RC1RF_1LD0RE_---0LE_1LA0LE_0RA0LC",
 "bucket_reason": "STUCK after the funded deepen stage (confidence med): every rule except the D6 nesting step is exact, and Lemma D (digestion fits in the epoch) is open.",
 "question": "Fund one more stage on #30's D6 nesting step (exact recursive rule plus a proof of the doubling law for digestion), or park it as STUCK?",
 "options": [
  {
   "id": "nest",
   "label": "One stage on D6 / nested digestion (about 2 h)",
   "consequence": "State D6 exactly (sub-hub K'(1,e+1,R) inside one bounce, its sub-eat through the outer word), extend the O2 rules to nested words, and prove beta_max(k+2) = 2*beta_max(k)+7 by induction on depth. Exit: STUCK again if D6 does not close into a recursive rule."
  },
  {
   "id": "park",
   "label": "Park as STUCK",
   "consequence": "Costs nothing now. Rules, the 1e11 orbit log, the digestion tables and the scripts stay for later; a formal proof would also need a nested (fractal) counter in Rocq."
  }
 ],
 "recommended": "nest",
 "rationale": [
  "Worst digestion has an exact form that doubles every 2 digits: a sign of an induction on depth.",
  "Slack grows like sqrt(N) (beta/N <= 0.051 for N >= 6000 to 1e11): a size bound, not a cryptid.",
  "Risk: D6 runs a sub-epoch inside one bounce (53/1200 nest deeper); the Rocq side stays heavy."
 ],
 "evidence": [
  {
   "kind": "figure",
   "text": "Digestion share per epoch to 1e11 steps (beta/N vs N, with the 8/sqrt(N) curve)",
   "href": "img/fs_digest_share.png"
  },
  {
   "kind": "fact",
   "text": "Exhaustive clean residues k <= 12 (32,760): beta_max = 2^((k+9)/2)-7 (odd k), 5*2^((k+4)/2)-7 (even k)",
   "href": "data/fs_analyze.json"
  },
  {
   "kind": "fact",
   "text": "Orbit to 1e11: 519 epochs, N to 12,668; all 1,020 eats after epoch 2 at aligned words and match E1g/E2g",
   "href": "data/fs_orbit_1e11_LE.txt"
  },
  {
   "kind": "fact",
   "text": "Rules GI, D1-D5, E1g, E2g pass on seeds 1 and 2 (1,200/1,200 for GI, D5, E1g, E2g); D6 shape only",
   "href": "data/fs_val_rules_1.json"
  }
 ],
 "effort_if_yes": "One stage, about 2 h of agent time, 1-2 light processes (Python + small C); no Rocq yet.",
 "updated": "2026-10-10",
 "answer": {
  "option": "nest",
  "note": "auto-applied: Claude's recommendation, under Dennis's standing instruction 'do your recommendations and continuously orchestrate' (2026-10-10, while he was away). Override any time.",
  "date": "2026-10-10"
 }
}