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mathematics
information-theory
renyi-entropy
shannon-entropy
hidden-markov-models
bernoulli-convolutions
File size: 10,287 Bytes
1c08905 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | {"record_id": "veloryn-manuscript-pdf", "kind": "manuscript", "title": "Complete standalone manuscript", "path": "manuscript/VELORYN_Manuscript.pdf", "claim_status": "written-proofs-internally-audited", "description": "21-page manuscript containing definitions, theorem statements, proofs, methods, and finite evidence.", "limitation": "No external peer review or proof-assistant verification; fair-Salem equality remains unproved."}
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{"record_id": "prior-art", "kind": "bibliography", "title": "Prior-art boundary and unresolved target", "path": "docs/PRIOR_ART.md", "claim_status": "priority-unestablished", "description": "Primary literature comparison for entropy approximation, replicas, hidden Markov theory and Shannon continuity.", "limitation": "The listed search is not an exhaustive proof of novelty."}
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{"record_id": "release-summary", "kind": "overview", "title": "Research release summary", "path": "docs/RELEASE_SUMMARY.md", "claim_status": "scope-record", "description": "Overview of the matrix extension, asynchronous replicas and unresolved claims.", "limitation": "The overview does not replace full theorem statements."}
{"record_id": "original-readme", "kind": "documentation", "title": "Original research runtime guide", "path": "docs/ORIGINAL_RESEARCH_README.md", "claim_status": "runtime-documentation", "description": "Original API examples, runtime semantics, randomness assumptions, resources and rebuild instructions.", "limitation": "Examples are finite demonstrations; sampling coverage has the stated assumptions."}
{"record_id": "research-status", "kind": "metadata", "title": "Source scientific status", "path": "STATUS.json", "claim_status": "scope-record", "description": "Source completion checklist, finite counts, theory-only features and explicit unproved targets.", "limitation": "Completion percentages describe named deliverables, not mathematical certainty."}
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{"record_id": "ai-guide", "kind": "documentation", "title": "AI reading and citation guide", "path": "AI_READING_GUIDE.md", "claim_status": "packaging-summary", "description": "Guidance for preserving hypotheses and scientific status in downstream summaries.", "limitation": "Does not add a theorem or grant a license."}
{"record_id": "citation-cff", "kind": "citation", "title": "Citation File Format metadata", "path": "CITATION.cff", "claim_status": "attribution-metadata", "description": "Exact supplied author line and versioned artifact citation.", "limitation": "No DOI, acceptance or affiliation is asserted."}
{"record_id": "citation-bib", "kind": "citation", "title": "BibTeX citation", "path": "CITATION.bib", "claim_status": "attribution-metadata", "description": "Versioned BibTeX entry for the standalone research artifact.", "limitation": "No journal publication is implied."}
{"record_id": "rights", "kind": "rights", "title": "Rights and attribution boundary", "path": "RIGHTS_AND_ATTRIBUTION.md", "claim_status": "no-license-selected", "description": "Preserves supplied attribution and the unselected outbound license.", "limitation": "Availability on the Hub does not grant an open-source license."}
{"record_id": "compiler", "kind": "code", "title": "Exact replica compiler", "path": "veloryn/compiler.py", "claim_status": "implemented-and-finitely-tested", "description": "Contraction-time replicas and mass computation for supported finite arithmetic sources.", "limitation": "Fixed integer order and specified fields; no generic matrix compiler."}
{"record_id": "entropy", "kind": "code", "title": "Entropy certificate routines", "path": "veloryn/entropy.py", "claim_status": "implemented-and-finitely-tested", "description": "Integer-order Renyi enclosures and stationary Shannon interval machinery.", "limitation": "Noninteger numerical kernels and min-entropy optimization are not implemented."}
{"record_id": "reference-tests", "kind": "tests", "title": "Finite independent reference suite", "path": "tests/test_veloryn.py", "claim_status": "finite-verification", "description": "Tests compare exact compiler calculations against independent finite references.", "limitation": "Finite test success is not proof-assistant certification."}
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{"record_id": "exact-regressions", "kind": "evidence", "title": "Original historical exact regression results", "path": "evidence/cross_version_regression.json", "claim_status": "recorded-finite-verification", "description": "Exact fair-Salem collision totals at depths 20, 64 and 128.", "limitation": "Collision moments do not prove fair-Salem Shannon maximal entropy."}
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{"record_id": "certificate-salem-fair-q3", "kind": "certificate", "title": "salem fair q3", "path": "evidence/salem_fair_q3.json", "claim_status": "finite-depth-certificate", "description": "Bundled exact rational certificate for the named source and integer order.", "limitation": "Source-specific finite-depth result; not proof of the fair-Salem Shannon equality."}
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{"record_id": "certificate-salem-correlated-q2", "kind": "certificate", "title": "salem correlated q2", "path": "evidence/salem_correlated_q2.json", "claim_status": "finite-depth-certificate", "description": "Bundled exact rational certificate for the named source and integer order.", "limitation": "Source-specific finite-depth result; not proof of the fair-Salem Shannon equality."}
{"record_id": "certificate-variable-phi-q2", "kind": "certificate", "title": "variable phi q2", "path": "evidence/variable_phi_q2.json", "claim_status": "finite-depth-certificate", "description": "Bundled exact rational certificate for the named source and integer order.", "limitation": "Source-specific finite-depth result; not proof of the fair-Salem Shannon equality."}
{"record_id": "certificate-hidden-clock-q2", "kind": "certificate", "title": "hidden clock q2", "path": "evidence/hidden_clock_q2.json", "claim_status": "finite-depth-certificate", "description": "Bundled exact rational certificate for the named source and integer order.", "limitation": "Source-specific finite-depth result; not proof of the fair-Salem Shannon equality."}
{"record_id": "certificate-mixture-cusp-q2", "kind": "certificate", "title": "mixture cusp q2", "path": "evidence/mixture_cusp_q2.json", "claim_status": "finite-depth-certificate", "description": "Bundled exact rational certificate for the named source and integer order.", "limitation": "Source-specific finite-depth result; not proof of the fair-Salem Shannon equality."}
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