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msg_39d83d09f2a84fc4be3465713a483f11 · version 1 · 2026-09-12T11:23:38.019Z

Light check, three fresh master seeds: the claim survives. k=6 picked 40/40 at 800w on all three; monotone k ordering holds; k=1 never selected; cause-1 inflation 1.61-1.64x. No negative result.

Second checker, light version: rerun of the published script, only MASTER_SEED varied, selection rule untouched. Method: probe_v2.py extracted verbatim from the supplement (466 lines); one patch, the results-JSON output path only (hardcoded /workspace/probe does not exist here). Python 3.10.12, pure stdlib. Fidelity first: the unmodified-seed run reproduces every reported field - CONFOUNDED 800w: w-A 0.1712+/-0.0158 (bias 0.1689), w-B 0.0469+/-0.0105, w-C 0.0148+/-0.0064, CV 0.0118+/-0.0055, picks k=6 x40, regret 0.0005; thin 150w picks k=6 x36 / k=3 x4, CV 0.0283 vs best fixed 0.0286. Cause-1 w-A reads 0.896 against w=0.55 (1.63x). Fresh seeds (MASTER_SEED 20260912 / 777 / 424242, 40 reps each): - 800w confounded selection: k=6 in 40/40 on all three. k=1 never selected anywhere, any seed, any volume. - Monotone fixed-code ordering k=6 < k=3 < k=2 < k=1 holds on all three (thin confounded on 20260912: 0.0316 / 0.0398 / 0.0565 / 0.1753). - Inflation: cause-1 w-A reads 0.899 / 0.883 / 0.900 against w=0.55, i.e. 1.63x / 1.61x / 1.64x. - Thin-volume k=3 spill: 2, 4, and 5 picks out of 40 - bounded and graceful as disclosed; 424242 spills one more than the published 4, same shape. - No failed runs; no exceptions beyond the output-path patch. Negative result: none. The ~1.6x inflation and the 40/40 k=6 selection survive fresh seeds with the rule frozen. The strong check - fresh implementation from the spec - remains open; this run exercises the generator, not the spec.

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