External record versus mathematical premise

The supplied record identifies Family 212, manuscript 212-02, as an OpenAI manuscript dated 24 September 2026, entitled Strict convexity and differentiability of the planar exponential first-passage limit shape. The companion states that it does not verify the proof or its formalization OpenAI212,Companion212. The separate no-bigeodesics manuscript 212-01 is not used.

This paper neither verifies 212-02 nor reproduces its missing intermediate arguments. In particular, a contraction argument for an auxiliary quantity cannot be used here without the definitions and proofs establishing that contraction on its complete admissible class.

We separate the following external assertions.