A Determinant--Selmer Terminal Archive for the Birch--Swinnerton-Dyer Formula over \ (Q\)

This Zenodo record contains the final two-file submission package for the manuscript A Determinant--Selmer Terminal Archive for the Birch--Swinnerton-Dyer Formula over \ (Q\). The package consists of the main manuscript, which presents the determinant--Selmer terminal archive, the theorem-proof spine, the terminal archive criterion, and the non-circularity convention; and the technical companion, which contains the expanded Core X constructor archive, the G1--G4 classical verification packages, the Core X-H universal archive modules, the residual Schur--central-to-etale--Noetherian--energy layer, and the final forbidden-import graph. For an elliptic curve \ (E/Q\), the framework is organized around the terminal verification archive \ (₇₂^an (E) ₇₃^coc (E;m) ₇₄^TKH (E;m) ₄₁^res (E) ₅₎ₑ₁ (E) \). The central logical statement of the package is the terminal archive implication \ (₂₋ (E) satisfies the displayed verification conditions BSD (E/Q) \). The non-circularity ledger records that the BSD rank formula, the BSD leading-coefficient formula, the finiteness or order of the Tate--Shafarevich group, the regulator identity, and the Cassels--Tate terminal isometry are not used as upstream inputs. This version has been submitted to the editorial office of the Annals of Mathematics for consideration as a separate Birch--Swinnerton-Dyer manuscript package. This statement records the submission status only and does not imply acceptance, endorsement, or editorial validation.