{
 "tm": "1RB0LD_0RC---_0LD0RF_1LE1LD_0LA0RD_0RB1RA",
 "bucket_reason": "The 1-hour burst look found 693's bursts structured, not chaotic. A proof would also settle 528, 310 and 548, which were held back because of 693's sheet note, so it needs your go.",
 "question": "Fund one proof stage for an abstract proof of 693 that also covers its time-rescaled twins 528, 310 and 548, or park all four?",
 "options": [
  {
   "id": "fund",
   "label": "Fund one proof stage (693 + 528 + 310 + 548)",
   "consequence": "About 2 h, 1-2 light processes. Build the word-level round map of 693, prove the catch-up list of j in closed form (the leading terms already fit 3*2^(j-2-m) + fixed offsets), then write proof.md as an induction E(n) -> O(n+1) -> E(n+2). Stop rule: park if the catch-up does not close in the stage. 528, 310 and 548 follow with their own word rules once 693's argument holds."
  },
  {
   "id": "park",
   "label": "Park all four",
   "consequence": "Costs nothing. Notes, scripts and the canonical-tape checker stay in 693's folder for a later attempt. 693, 528, 310 and 548 leave the active list."
  }
 ],
 "recommended": "fund",
 "rationale": [
  "26/26 predicted burst tapes (n = 5..12) occur byte for byte; the n = 12 ones were predicted before seen.",
  "836/836 ruler resets drop 3*2^(j-2)-2; each catch-up is a fixed list that depends on j alone.",
  "Risk: catch-up for j >= 12 and odd-burst cleanup lack a proven closed form; may need a 2nd stage."
 ],
 "evidence": [
  {
   "kind": "fact",
   "text": "Canonical tapes O(n), E(n), V(n), W(n,i) at the predicted moments, in order, n = 5..12 (to 4.1e11 steps); E(12) at 1.84e11, W(12,4) at 3.59e11.",
   "href": "work/canon.txt"
  },
  {
   "kind": "fact",
   "text": "882 resets to 4.1e11: 836 obey drop = 3*2^(j-2)-2 with no exception; the other 46 are start-up, canonical events or inside odd bursts.",
   "href": "work/resets_41e11.txt"
  },
  {
   "kind": "fact",
   "text": "Catch-up after a reset depends on j only (j = 2..11, identical at every occurrence); c gains exactly 2 per round net over each block.",
   "href": "work/catchup_41e11.txt"
  },
  {
   "kind": "fact",
   "text": "528, 310 and 548 carry 693's (c, d) bell values at a constant step ratio (BEC sweep Critic).",
   "href": "reports/bec-sweep/ranking.md"
  }
 ],
 "effort_if_yes": "One stage (about 2 h) to proof.md; formalization over several more stages. One abstract argument would serve four machines.",
 "updated": "2026-10-13",
 "answer": {
  "option": "fund",
  "note": "fund 693",
  "date": "2026-10-14"
 }
}