BREAKS โ DEFENDED โ CLOSED 2026-07-10 ยท attack A6 (the 750-dbps thread from iter 1; KB ยง4 small-noisy-cell) ยท 8,680 thin windows ยท 77 frozen-line crossings found ยท sub-slice stability guard added ยท clean 0/3
"FLOOR_1000 bar-equivalent grounding (frozen floor = 50 value-rows) makes per-cell ฮพ reliable โ
a thin-but-grounded cell cannot cast a noise-driven ยงB vote (a breadth count at ฮพโฅ0.50, or an
xi_worst contribution)." Aimed directly at the promotion gate: ยงB PASS requires
xi_worst < 0.50 over ALL grounded cells, so ONE noisy thin cell flips PASSโWATCH; the
theoretical null sd of ฮพ at n=60 is โ0.082, so a 0.50-crossing from a true 0.2โ0.3 needs only 2.5โ3.5ฯ.
Each 80k-bar cell (3,990 value-rows) yields 20 disjoint contiguous windows of 60 value-rows (1,200 bar-equivalents โ just above the frozen floor). Each window is byte-for-byte what a legitimately thin cell (newly-listed symbol, short-history 750-dbps cell) would present. Falsifiers: F1 window ฮพ โฅ 0.50 while full-cell < 0.40 (the 0.10 buffer excludes genuine near-line ambiguity); F2 window ฮพ > 0.95 while full-cell < 0.85.
| Falsifier | Hits | Pair | Worst case |
|---|---|---|---|
| F1 (false PASS-line votes) | 48 | kyle_lambda_proxy|ofi โ certified-orthogonal | window ฮพ 0.7174 vs full-cell 0.359 (NEARUSDT@250) |
| F2 (false BAN-line votes) | 29 | price_impact|volume | window ฮพ 0.9508 vs full-cell < 0.85 |
30 of 62 cells produced crossings; max |ฮพ_window โ ฮพ_fullcell| = 0.75. The floor alone does not make thin votes safe โ in either direction.
xi_cell_vote_stable(x, y, keys): # rotation_robust_eval, iter 4
stable โบ every contiguous sub-slice (2 halves + 3 thirds + 4 quarters) sits on the
SAME SIDE of BOTH frozen lines (0.50, 0.95) as the full-cell reading
xi_worstcell_verdict_guarded(stable_votes, n_unstable):
ยงB band arithmetic (FROZEN) on STABLE votes only # BAN never rests on noise
PASS with any unstable cell โ PENDING # never certify unresolved evidence
aggregate_worst_cell: vote stability is judged on the argmax panel column
(the pair actually driving the cell's vote).Defense iteration recorded honestly: the first guard (halves+thirds) left ONE
locally-consistent window through (BTCUSDT@750, ฮพ 0.578 vs truth 0.399 โ all 5 sub-slices agreed);
adding quarters closed it. Evidence: a6_v2_stderr.log (1 breach) vs
a6_v2_stderr_k4.log (0 breaches).
| Check | Result |
|---|---|
| G1 โ quarantine of noise-crossing thin votes | 76/76 crossings judged UNSTABLE (none admitted) |
| G2 โ declared ยงB verdicts through the guard, 62 full cells | 7/7 reproduce (BANยทBANยทBANยทWATCHยทPASSยทPASSยทPASS); all three PASS pairs 62/62 stable โ zero collateral PENDING |
| G3 โ end-to-end thin-cell scenario (crossing window appended as a 63rd cell) | PASS pair โ PENDING (honest "can't certify"), never WATCH/BAN; BAN pair stays BAN (29/29) |
| A5 substrate-validity regression | SURVIVES (7/7) |
| ยงB declaration self-test | PASS |
| File | What |
|---|---|
| a6_thin_cell_attack.py / a6_results.json | v1 attack โ 77 crossings, per-cell window min/max table. |
| a6_thin_cell_attack_v2.py / a6_v2_results.json | Same surface vs the defended mechanism โ G1/G2/G3, 0 breaches (final). |
| a6_stderr.log ยท a6_v2_stderr.log ยท a6_v2_stderr_k4.log | Run logs under the 2 CPU / 2 GB scope โ incl. the intermediate 1-breach guard round. |
| regression_tests/test_a6_thin_cell.sh | Permanent regression test โ re-runs v2, asserts SURVIVES. |
The promotion gate can no longer be swayed by a thin cell in either direction: noisy thin votes are quarantined, BAN requires stable evidence, and unresolved cells block certification (PENDING) instead of polluting it. This also retires the 750-dbps thread opened in iter 1 (thin 750 cells now quality-gate themselves). Clean rounds: 0 of 3.
evaluate_pooled positional tie-break default (advisory path) โ carried from iter 3.iter 4 ยท attack A6 ยท verdict BREAKS โ DEFENDED โ CLOSED ยท one atomic commit:
iter 4: A6 thin-cell floor stability โ BREAKSโDEFENDED ยท append-only.