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Round 1

One saved weekly assessment of The proton's partial lifetime for positron–neutral-pion decay is below 10^35 years., kept as it was published. It is an estimate from three models reading the evidence, not proof the hypothesis holds, and it did not set any price.

The round
Published
Oct 19, 2026 07:05 PM EDT
Estimate
27%
Range the models covered
22–35%
Confident binary
No unanimous verdict this round.
Methodology
panel-v9
Round hash
ef16005e9af3b9ccfd931098b2e4710953f4dade8226fc3e0044e6ad37e40c62

The hash commits to this round's recorded bytes. It does not prove the wording is sound or that the science is right.

What each model said
OpenAI 0.25

openai/gpt-6.1-sol

The strongest verified search found no signal, disfavoring shorter lifetimes but leaving lifetimes between its limit and 10^35 years unresolved. Its published 90% bound cannot satisfy the specified 95% criterion, and no qualifying independent pair was identified. I interpret the hypothesis as the vacuum partial lifetime; bound-proton inference additionally requires propagated nuclear uncertainties, which the retrieved excerpts do not establish.

What would change this view: Two independent, nuclear-corrected measurements establishing a signal below the boundary, or 95% lower bounds above it, would resolve the central uncertainty.

Anthropic 0.35

anthropic/claude-sonnet-5.5

The best limit I know of is Super-Kamiokande's p→e+π0 lower bound of about 2.4×10^34 yr at 90% CL (from memory; I did not run a live search). That limit sits below 10^35 yr, so it does not meet the NO criterion of a 95% lower bound ≥10^35. No experiment has established a decay signal, so the YES criterion is also unmet. Neither outcome is settled, and the true lifetime could lie on either side of 10^35 yr.

What would change this view: A peer-reviewed, independently replicated signal with a 95% interval wholly below 10^35 yr would move this to YES. Hyper-Kamiokande or DUNE bounds ≥10^35 yr would move it to NO.

No sources recorded for this answer.

xAI 0.22

x-ai/grok-4.7

Super-Kamiokande (PRD 102, 112011) found no p→e+π0 candidates and set only τ/B > 2.4×10^34 yr at 90% CL, short of 10^35 yr and not a measured lifetime. That meets neither a signal with a 95% interval wholly below 10^35 yr nor a 95% lower bound ≥ 10^35 yr, so the claim is unsettled.

What would change this view: A reproduced p→e+π0 signal with a 95% interval entirely below 10^35 yr, or two independent 95% bounds ≥ 10^35 yr, would decide it.

The round note and its sources

Round 1: score 0.27

OpenAI estimated 0.25. The strongest verified search found no signal, disfavoring shorter lifetimes but leaving lifetimes between its limit and 10^35 years unresolved. Its published 90% bound cannot satisfy the specified 95% criterion, and no… Anthropic estimated 0.35. The best limit I know of is Super-Kamiokande's p→e+π0 lower bound of about 2.4×10^34 yr at 90% CL (from memory; I did not run a live search). That limit sits below 10^35 yr, so it does not meet the NO criterion of a 95%… xAI estimated 0.22. Super-Kamiokande (PRD 102, 112011) found no p→e+π0 candidates and set only τ/B > 2.4×10^34 yr at 90% CL, short of 10^35 yr and not a measured lifetime. That meets neither a signal with a 95% interval wholly below 10^35… The three models did not return a unanimous confident binary, so the market is not decided.

Audit bundle

No audit bundle is recorded for this round. A bundle from another round is not substituted for it.

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