Manuscript Oai276-A@1 · Oai276-A.tex · section · 215068af

Stage-by-stage completion

Completed seven-stage release and remaining boundaries › Stage-by-stage completion · lines 1838–1883

Stage	Completed object	Exact status
Stage	Completed object	Exact status
0	Channel convention, units, external main claim, partner claim, specializations, and Lean split.	Frozen; the natural-logarithm conversion and proof-placeholder distinction are explicit.
1	Five-interface audit: rectangular block, thermal extension, channel substitution, block ensemble, and arbitrary partner.	Algebraic substitutions checked; external entropy-engine verification is not silently imported.
2	One-shot resource ledger, readout identity, one-use diamond transfer, and complete-run statistical coverage.	Local implications proved. No decoder or asymptotic rate is manufactured from a template.
3	Existence, exact-real optimizer specification, rational value evaluation, and finite signal construction separated.	The frozen evaluation is supplied, not merely proposed.
4	Protocol and quantity changes made one at a time.	No same-channel-to-partner, classical-to-quantum, or population-to-channel transfer is made.
5	Thermal, recovery, temporal, and gravitational readings distinguished.	No Page curve or gravitational test is constructed.
6	One finite certificate at $(1/2, 1/4)$ , naming $p^{⋆}$ , enclosing $χ$ , and printing two signal pairs.	Completed by Theorem thm:finite-certificate.