Remark: Three manuscripts are withdrawn

On 7 October 2026 the catalogue withdrew three manuscripts because a sign error invalidated a stabilization-trace argument: Algebraicity of Weil classes on split abelian eightfolds; Algebraicity of Kuga–Satake Correspondences for K3 Surfaces; and the rational Hodge conjecture for products of K3 surfaces. Those three titles are not current results. Other mentions of Kuga–Satake data are not, by that fact alone, withdrawn. Fourteen further manuscripts were repaired, and thirteen citation updates point at the revised companions. A withdrawn title below is marked withdrawn and is not a theorem of this series. The authors are OpenAI. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.