paddo.dev: OpenAI Published Ten Lean-Verified Proofs, Then Paused Astra Six Days Later on an Unverifiable Cyber Claim
paddo.dev dissects the Astra rollout: on August 1 OpenAI published ten results in mathematics and theoretical CS with machine-checkable Lean certificates on GitHub under Apache 2.0 at roughly $2,000 of compute, then six days later announced a safety pause citing capabilities it "cannot rule out" — with no external verification mechanism offered. The analysis notes Noam Brown acknowledged that unsuccessful attempts on other problems weren't disclosed, and that Columbia's Henry Yuen flagged the sphere-packing proof as building on Steven Miller's 2016 work. The concrete takeaway for builders is the asymmetry: the capability claim was independently checkable because Lean certificates are checkable, and the danger claim was not.
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