Oai282-B, Oai069-A, and the OpenAI catalogue

The supplied Oai282-B record describes a free local conformal Ward construction for a massless scalar in a declared homogeneous Minkowski class, including a two-dimensional residual family and finite-probe coverage within that class CheungOai282B. Coverage inside a finite class does not cover unrestricted conserved tensors. Local Ward action and integration to a global group action remain distinct.

The supplied Oai069-A record describes a finite free-scalar Ward-defect comparison and a categorical/local-system recovery benchmark CheungOai069A. A category of local systems is not a density-matrix state space or a clock channel merely because finite labels occur in both.

Neither comparison sheet is used as a theorem premise. Their residual families are not copied into ${\mathcal{C}}_{\mathrm{ct}}$ for VI, the original-rod lapse, or the incidence register. No gravitational dictionary, RG fixed point, or family verification is imported from them.