Remark: The OpenAI catalogue is not a premise

No OpenAI theorem or catalogue family is a premise. No family proof is independently verified.

Oai282-A/B and Oai069-A do not make this interface a fieldwise Ward identity or an ultraviolet completion. Oai283-A is, at most, a comparison for a fixed finite channel approximation interface. Oai365-A supplies no metric derived from a certificate tag. Oai212-A, Family 265, Oai272, Oai276, Oai279, Oai227, and Oai119 are not Page curves or entanglement tests for this transport. Their documentary comparison does not pass any causal-product gate.