{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:UICBCRJMZPNTMCN45P7TGQDUA6","short_pith_number":"pith:UICBCRJM","schema_version":"1.0","canonical_sha256":"a20411452ccbdb3609bcebff334074079814b6c4136c0fafa0de6ca204d26b7f","source":{"kind":"arxiv","id":"quant-ph/0101012","version":4},"attestation_state":"computed","paper":{"title":"Quantum Theory From Five Reasonable Axioms","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Lucien Hardy","submitted_at":"2001-01-03T17:00:37Z","abstract_excerpt":"The usual formulation of quantum theory is based on rather obscure axioms (employing complex Hilbert spaces, Hermitean operators, and the trace rule for calculating probabilities). In this paper it is shown that quantum theory can be derived from five very reasonable axioms. The first four of these are obviously consistent with both quantum theory and classical probability theory. Axiom 5 (which requires that there exists continuous reversible transformations between pure states) rules out classical probability theory. If Axiom 5 (or even just the word \"continuous\" from Axiom 5) is dropped the"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"quant-ph/0101012","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2001-01-03T17:00:37Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"52d849effecea16d5e7739456872ccbe7cb1db51210ba8c8dc498b59d74d8df2","abstract_canon_sha256":"dd525ebd400f1e6e0b2b3ea7e580c739a9ce44526ccb607c610d62d23ca2e035"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:45:34.596325Z","signature_b64":"4QgSxkTMFwvrit4QcyENe1Guv9SFFZeHzdl0HX1IhlpCPKCCj52iOysws22zY6V5faUk8ucBcoM8lHLGs/NWDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a20411452ccbdb3609bcebff334074079814b6c4136c0fafa0de6ca204d26b7f","last_reissued_at":"2026-07-04T14:45:34.595978Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:45:34.595978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Theory From Five Reasonable Axioms","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Lucien Hardy","submitted_at":"2001-01-03T17:00:37Z","abstract_excerpt":"The usual formulation of quantum theory is based on rather obscure axioms (employing complex Hilbert spaces, Hermitean operators, and the trace rule for calculating probabilities). In this paper it is shown that quantum theory can be derived from five very reasonable axioms. The first four of these are obviously consistent with both quantum theory and classical probability theory. Axiom 5 (which requires that there exists continuous reversible transformations between pure states) rules out classical probability theory. If Axiom 5 (or even just the word \"continuous\" from Axiom 5) is dropped the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0101012","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0101012/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0101012","created_at":"2026-07-04T14:45:34.596033+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0101012v4","created_at":"2026-07-04T14:45:34.596033+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0101012","created_at":"2026-07-04T14:45:34.596033+00:00"},{"alias_kind":"pith_short_12","alias_value":"UICBCRJMZPNT","created_at":"2026-07-04T14:45:34.596033+00:00"},{"alias_kind":"pith_short_16","alias_value":"UICBCRJMZPNTMCN4","created_at":"2026-07-04T14:45:34.596033+00:00"},{"alias_kind":"pith_short_8","alias_value":"UICBCRJM","created_at":"2026-07-04T14:45:34.596033+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":22,"internal_anchor_count":14,"sample":[{"citing_arxiv_id":"2606.19664","citing_title":"Quantum Dynamics from Lax Pair Theory: A Reconstruction from Spectrum Preservation","ref_index":7,"is_internal_anchor":true},{"citing_arxiv_id":"2606.09000","citing_title":"The Transformation-Response Framework: An Operational Reformulation of Quantum Mechanics","ref_index":19,"is_internal_anchor":true},{"citing_arxiv_id":"2607.00045","citing_title":"Quantum Reconstruction and Phenomenology per the Relativity Principle","ref_index":7,"is_internal_anchor":true},{"citing_arxiv_id":"2606.02421","citing_title":"Dynamics of the Density Cube","ref_index":40,"is_internal_anchor":true},{"citing_arxiv_id":"2606.31097","citing_title":"Generalised Probabilistic Theories","ref_index":5,"is_internal_anchor":true},{"citing_arxiv_id":"2605.23217","citing_title":"Two Operational Principles Single Out Quantum Theory","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"1907.13457","citing_title":"Universal Entanglement and an Information-Complete Quantum Theory","ref_index":59,"is_internal_anchor":true},{"citing_arxiv_id":"2304.09037","citing_title":"Carnap on Quantum Mechanics","ref_index":2,"is_internal_anchor":true},{"citing_arxiv_id":"2406.00717","citing_title":"Resource-theoretic hierarchy of contextuality for general probabilistic theories","ref_index":29,"is_internal_anchor":true},{"citing_arxiv_id":"2411.15964","citing_title":"The composition rule for quantum systems is not the only possible one","ref_index":40,"is_internal_anchor":true},{"citing_arxiv_id":"2501.19269","citing_title":"Information Metrics and Possible Limitations of Local Information Objectivity in Quantum Gravity","ref_index":22,"is_internal_anchor":true},{"citing_arxiv_id":"2508.03052","citing_title":"Existing experiments suffice to indirectly verify the quantum essence of gravity","ref_index":48,"is_internal_anchor":true},{"citing_arxiv_id":"2511.02772","citing_title":"Decoherence to quantum theory from a causally-indefinite post-quantum theory","ref_index":6,"is_internal_anchor":true},{"citing_arxiv_id":"2603.11900","citing_title":"Existence as Distinguishability: Quantum Mechanics from Finite Graded Equality","ref_index":8,"is_internal_anchor":true},{"citing_arxiv_id":"2605.12331","citing_title":"Information Thermodynamics in Generalized Probabilistic Theories","ref_index":27,"is_internal_anchor":false},{"citing_arxiv_id":"2604.26647","citing_title":"Nonclassical traits in multi-copy state discrimination","ref_index":27,"is_internal_anchor":false},{"citing_arxiv_id":"2604.26267","citing_title":"Algebraic quantum kinematics and SR-selection","ref_index":52,"is_internal_anchor":false},{"citing_arxiv_id":"2604.23232","citing_title":"Spectral versus interpolation norms in tracial nonassociative $\\mathrm{L}^p$-spaces","ref_index":60,"is_internal_anchor":false},{"citing_arxiv_id":"2605.04931","citing_title":"Quantum Realizability of Probabilistic Theories Stable under Teleportation","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21945","citing_title":"The No Barber Principle: Towards Formalised Selection in the Inaccessible Game","ref_index":117,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05239","citing_title":"Quantizing gravitational fields with an entropy-corrected action principle","ref_index":18,"is_internal_anchor":false},{"citing_arxiv_id":"2605.04931","citing_title":"Quantum Realizability of Probabilistic Theories Stable under Teleportation","ref_index":16,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UICBCRJMZPNTMCN45P7TGQDUA6","json":"https://pith.science/pith/UICBCRJMZPNTMCN45P7TGQDUA6.json","graph_json":"https://pith.science/api/pith-number/UICBCRJMZPNTMCN45P7TGQDUA6/graph.json","events_json":"https://pith.science/api/pith-number/UICBCRJMZPNTMCN45P7TGQDUA6/events.json","paper":"https://pith.science/paper/UICBCRJM"},"agent_actions":{"view_html":"https://pith.science/pith/UICBCRJMZPNTMCN45P7TGQDUA6","download_json":"https://pith.science/pith/UICBCRJMZPNTMCN45P7TGQDUA6.json","view_paper":"https://pith.science/paper/UICBCRJM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0101012&json=true","fetch_graph":"https://pith.science/api/pith-number/UICBCRJMZPNTMCN45P7TGQDUA6/graph.json","fetch_events":"https://pith.science/api/pith-number/UICBCRJMZPNTMCN45P7TGQDUA6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UICBCRJMZPNTMCN45P7TGQDUA6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UICBCRJMZPNTMCN45P7TGQDUA6/action/storage_attestation","attest_author":"https://pith.science/pith/UICBCRJMZPNTMCN45P7TGQDUA6/action/author_attestation","sign_citation":"https://pith.science/pith/UICBCRJMZPNTMCN45P7TGQDUA6/action/citation_signature","submit_replication":"https://pith.science/pith/UICBCRJMZPNTMCN45P7TGQDUA6/action/replication_record"}},"created_at":"2026-07-04T14:45:34.596033+00:00","updated_at":"2026-07-04T14:45:34.596033+00:00"}