Computational finding

FPRD-QA-RA-C01

Cross-length atlas census

Exact statement

A dependency-free checker verifies 1,208,130 admissible profiles over bases two through twelve and lengths one through eight, including 310 overlap outputs.

StatusReproduced
External reviewNo documented external or specialist review of this Quotient Arsenal result is recorded.

Context

The fixed-length mirror quotient extends across adjacent length charts with one seam bit, but complete growth responses require infinitely many states and separated-flank inverse limits contain non-realizable ghosts.

Proof or evidence

The exact checker reproduces the canonical transcript hash and sharp collisions in every base.

Verification notes

The mirror-profile charts, output-length bound, one-bit receipt, and raw-fibre sum were reconstructed. An independent implementation checked 1,208,130 admissible profiles, 310 overlap outputs, and a sharp collision in every base from two through twelve. Missing Stage 6 archival payloads remain separate at L1.

Limitations

  • The bounded census supports but does not replace the all-base proof.

Open work

Preserve as a regression fixture.