Datasets:
Formats:
csv
Languages:
English
Size:
< 1K
Tags:
mathematics
information-theory
quantum-information
representation-theory
bosonic-memory
task-relative-compression
| { | |
| "project": "ORYNTHRA-H6", | |
| "version": "1.0.0", | |
| "date": "2026-10-09", | |
| "core_scope": "Finite task quotients and phase-registered conserved-spectrum representation implementation", | |
| "not_a_general_file_compressor": true, | |
| "formal_statements_with_supplied_proofs": 19, | |
| "regression_tests": { | |
| "passed": 44, | |
| "total": 44, | |
| "percentage": 100, | |
| "meaning": "Release test pass rate, not correctness probability" | |
| }, | |
| "exhaustive_six_label_permutations": { | |
| "checked": 720, | |
| "total": 720 | |
| }, | |
| "exact_symbolic_gram_identities": 2, | |
| "claims": [ | |
| { | |
| "label": "prop:counting", | |
| "number": "3.1", | |
| "type": "proposition", | |
| "title": "No shortening of every finite string", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "thm:quotient", | |
| "number": "4.3", | |
| "type": "theorem", | |
| "title": "Minimal future-compatible task quotient", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "thm:linear", | |
| "number": "5.1", | |
| "type": "theorem", | |
| "title": "Closure-rank compression", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "thm:sixwing", | |
| "number": "6.1", | |
| "type": "theorem", | |
| "title": "Six-wing activation law", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "cor:nonsubmod", | |
| "number": "6.2", | |
| "type": "corollary", | |
| "title": "Unbounded failure of submodular budgeting", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "prop:storage", | |
| "number": "7.1", | |
| "type": "proposition", | |
| "title": "Storage-only photon cutoff", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "thm:packing", | |
| "number": "8.2", | |
| "type": "theorem", | |
| "title": "Spectral branch packing", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "cor:onemode", | |
| "number": "8.3", | |
| "type": "corollary", | |
| "title": "The one-mode obstruction", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "thm:deficit", | |
| "number": "9.1", | |
| "type": "theorem", | |
| "title": "Exact representation-deficit law", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "prop:gap", | |
| "number": "10.1", | |
| "type": "proposition", | |
| "title": "Generator defect bound", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "prop:robustone", | |
| "number": "10.2", | |
| "type": "proposition", | |
| "title": "One-mode robust obstruction", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "thm:symmetric", | |
| "number": "11.1", | |
| "type": "theorem", | |
| "title": "Full-permutation photon threshold", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "prop:simplex", | |
| "number": "12.1", | |
| "type": "proposition", | |
| "title": "Vacuum-complement orthogonality", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "cor:unitary", | |
| "number": "13.1", | |
| "type": "corollary", | |
| "title": "Universal finite-dimensional coherent control", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "prop:meanstore", | |
| "number": "14.1", | |
| "type": "proposition", | |
| "title": "Minimum uniform storage energy", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "prop:weighted", | |
| "number": "14.2", | |
| "type": "proposition", | |
| "title": "Uniform equivariant mean-energy optimum", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "prop:query-energy", | |
| "number": "15.1", | |
| "type": "proposition", | |
| "title": "Necessary query-energy bound", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "prop:nonresonance", | |
| "number": "16.1", | |
| "type": "proposition", | |
| "title": "Rationally independent frequencies", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| }, | |
| { | |
| "label": "prop:gapenergy", | |
| "number": "16.2", | |
| "type": "proposition", | |
| "title": "Energy-gap stability of the commutator obstruction", | |
| "proof_status": "Proof supplied in manuscript; not independently or formally certified", | |
| "novelty_status": "Inherited foundation, standard consequence, or candidate combination; see prior-art audit" | |
| } | |
| ], | |
| "candidate_contributions": [ | |
| "Task-to-spectrum representation packing workflow", | |
| "Exact optimum 2(1-C/M) for the stated covariance metric", | |
| "Natural-permutation resource frontier and exact deficit plateau", | |
| "Six-wing unbounded high-order activation construction" | |
| ], | |
| "physical_assumptions": [ | |
| "Degenerate modes for H proportional to total photon number", | |
| "Arbitrary unitaries within invariant photon-number sectors", | |
| "Exact physical group representation for the main deficit theorem", | |
| "Phase-registered logical action, including arbitrary logical superpositions", | |
| "Ideal preparation and readout; external phase reference not charged", | |
| "No uncharged correlated side information in memory bounds" | |
| ], | |
| "explicit_negative_results": [ | |
| "H6 is not exact arbitrary-state one-photon-loss correcting", | |
| "Number twirling destroys exact H6 label distinguishability", | |
| "A nondegenerate register spectrum excludes exact energy-conserving nonabelian logical action" | |
| ], | |
| "global_novelty_verified": false, | |
| "external_peer_review": false, | |
| "proof_assistant_verified": false, | |
| "hardware_validated": false, | |
| "physical_energy_density_record": null, | |
| "proposed_not_delivered": [ | |
| "Loss-correcting spectral packing characterization", | |
| "Reference-inclusive optimal code", | |
| "Learned multimodal compression benchmark", | |
| "Restricted optical control synthesis and noisy hardware comparison" | |
| ] | |
| } | |