Free Numbers Core v1.0.0

Free Numbers Core v1.0.0 is the first frozen release of a quaternionic exact-response framework for finite boundary words. The release develops a graded response representation in which information lost under quaternionic compression can be recovered through canonical probe insertion. Its main results include a local decoder, all-grade reconstruction for finite tensor length, finite visibility bounds, an associative bridge product on exact-response coordinates, and exact low-length spin-depth calculations. This archived release contains the Core v1 paper in PDF and LaTeX form, the claims ledger, supporting mathematical notes, exact computational certificates, and the audited source package. The release is fixed to Git commit: 9efc241d38e5ca2cd07f425b747bfb5d67ea0235 Scope note: Core v1 establishes a finite-grade quaternionic exact-response realization. It does not claim universality, completion of the Residual Chart OS, a full all-length depth-spectrum classification, or physical and consciousness applications.