Datasets:
Status and completeness — ORYNTHRA-H6 v1.0.0
The delivered finite mathematical core is complete as a manuscript-and-reference-code release. Completion is not a claim of independent verification or historical priority.
| Item | Result | Meaning |
|---|---|---|
| Enumerated theorem/proposition/corollary statements with supplied proofs | 19/19 (100%) | Textual proof coverage, not a probability of correctness |
| Delivered regression tests passing | 44/44 (100%) | Tests run in the recorded environment |
| Six-label permutations checked | 720/720 (100%) | Floating-point exhaustive matrix checks for S6 |
| Symbolic H6 identities | 2/2 (100%) | Exact full Gram and simplex Gram identities |
| Multiplicity-trap permutations checked | 120/120 (100%) | S5 average agrees with the exact 0.8 deficit prediction |
| Manuscript figures | 5/5 (100%) | Generated from stated mathematical models |
| Independent peer review | Not performed | No acceptance or correctness certification claimed |
| Proof-assistant certificate | Not produced | Tests do not substitute for formal verification |
| Worldwide novelty | Unverified | No defensible numerical percentage assigned |
| Physical device validation | Not performed | Photon counts are model-based resource results |
| General file/media compression benchmark | Not performed | The package is task-relative mathematics, not a universal codec |
The physical model is noiseless and permits arbitrary number-preserving within-sector gates. A phase reference is externally available but not charged. The given H6 code is not an exact arbitrary-state one-photon-loss-correcting code, and phase twirling destroys exact distinguishability.
The experimental extensions in the manuscript are proposals with explicit success conditions. They are not included in the completion percentage for the finite proved core. Future discovery of an error or equivalent prior theorem should be recorded in a new version rather than retrospectively described as verification.