Spin-one Haldane gap

The quantity is the uniform periodic spin-one spectral-gap lower bound $\gamma_L$ at $J=1$, compared on the original domain of even $L\ge2304$. A higher lower bound is better. The claim assumes the cited OpenAI spatial-transfer identities and certified finite inputs. The extension to every integer $L\ge24$ is listed under Relevant repos.

OpenAI baseline: $\log(20)/784$, released Oct 6, 2:58 PM PT.

These results are Claimed: their authors published them, and we have not checked them.