λEnter Calculus CompanionRegistered manuscripts, kept distinct

Manuscript Oai279-A@1 · Oai279-A.tex · section · a1abc73f

Seven-stage release and final verdict

Seven-stage release and final verdict · lines 1557–1644

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StageCompleted taskExact status
StageCompleted taskExact status
0Input convention, gate alphabet, output encoding, uniformity, and the external main claim.Frozen. The padding and Comparator placeholder are explicit.
1Audit of records, order trial, verified process, completion, and primality.Interfaces and missing verification obligations are identified without importing the all-input theorem.
2Record, implementation, resource, statistical, and approximation comparisons.Priced in their declared models; no template is treated as order finding or exactification.
3Existence, extraction, uniform generation, and a literal finite circuit are distinguished.The polynomial named here belongs to the specified partial family, not an unnamed external generator.
4Correctness, clock, gates, output task, and uniformity are changed one at a time.No silent weakening is used to claim the frozen theorem.
5Classical output, quantum recovery, cryptographic implementation, and gravitational interpretation are separated.No Page curve, hardware factoring claim, or gravitational test is supplied.
6One finite certificate for , with a stronger four-bit-domain guarantee.Completed by Theorem thm:finite.

The exact completed numerical ledger is

The following remain unverified or outside scope:

  1. the full Family 279-01 construction and its uniform all-input correctness;

  2. an extraction linking to that source construction;

  3. a completed proof of the inspected Comparator endpoint;

  4. a general constant-depth factoring theorem;

  5. a hardware implementation or practical cryptographic break;

  6. a Page curve, island, horizon, Hawking-radiation derivation, gravity-generated entanglement, or exclusion of classical gravity.

The finite certificate is complete. It does not create a logical requirement that all other research must wait for this particular benchmark. Rather, it removes one finite deliverable while leaving the stronger verification tasks visible.

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