Declarations

. This single source contains the specifications, proofs, reported numerical tables, historical identifiers, and new reproducibility software. No external files are required for typesetting.

and inspection. P8-new execution is reported by supplied historical records. Candidate solver and patched checker invocations are reported by the new summary. This edition does not assert independently executing those programs, inspecting their original binary outputs, compiling the manuscript, or formally checking its proofs.

conclusion. The exploratory candidate estimate suggests specified-decoder error near $0.38687$. The reported coarse interval $[0,1]$ does not validate that estimate or a quarter-error exclusion. Certified P8 ranks and the exact reached-space dimension remain unresolved.

interpretation. The continuum code is an excitation code in a declared reduction. No controlled full-gravity remainder, P8 microstate identification, gravitational dictionary, or physical receiver is supplied.

. Recovery theory, fidelity inequalities, fermionic transfer, SYK and Schwarzian theory, eigensolvers, and interval arithmetic are established frameworks. The contributions are the fixed-instance diagnostics, exact reached-space analysis, stored-packet complete-channel construction, and the stated certification and evidence interfaces.