{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:VUA37EH6GJPBDH27FQOF4IYMWO","short_pith_number":"pith:VUA37EH6","schema_version":"1.0","canonical_sha256":"ad01bf90fe325e119f5f2c1c5e230cb381907a3b2b6e06e077de3cec8a3e925f","source":{"kind":"arxiv","id":"1110.4492","version":3},"attestation_state":"computed","paper":{"title":"Information dynamics and new geometric foundations of quantum theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Ryszard Pawe{\\l} Kostecki","submitted_at":"2011-10-20T11:02:46Z","abstract_excerpt":"We discuss new approach to mathematical foundations of quantum theory, which is completely independent of Hilbert spaces and measure spaces. New kinematics is defined by non-linear geometry of spaces of integrals on abstract non-commutative algebras. New dynamics is defined by constrained maximisation of quantum relative entropy. We recover Hilbert space based approach (including unitary evolution and the von Neumann--L\\\"{u}ders rule) and measure theoretic approach to probability theory (including Bayes' rule) as special cases of our approach."},"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":"1110.4492","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-20T11:02:46Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4d40ce3add04824159037d6ee276037c08727824b1efa1401322923d4540be89","abstract_canon_sha256":"87923838b4696936c520cf69f4b7c366edbdb06974d18e8b4ecb85fce74dbb79"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:07.562630Z","signature_b64":"ZOXmsv6sAL33XayGg+eH+x8fBPip+0SKrSew4IvoCCQDvKPZULalh1IORGbj9UBQJe63RKygMDxuCPY5eDDqBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad01bf90fe325e119f5f2c1c5e230cb381907a3b2b6e06e077de3cec8a3e925f","last_reissued_at":"2026-05-18T04:07:07.561848Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:07.561848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Information dynamics and new geometric foundations of quantum theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Ryszard Pawe{\\l} Kostecki","submitted_at":"2011-10-20T11:02:46Z","abstract_excerpt":"We discuss new approach to mathematical foundations of quantum theory, which is completely independent of Hilbert spaces and measure spaces. New kinematics is defined by non-linear geometry of spaces of integrals on abstract non-commutative algebras. New dynamics is defined by constrained maximisation of quantum relative entropy. We recover Hilbert space based approach (including unitary evolution and the von Neumann--L\\\"{u}ders rule) and measure theoretic approach to probability theory (including Bayes' rule) as special cases of our approach."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4492","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1110.4492","created_at":"2026-05-18T04:07:07.561962+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.4492v3","created_at":"2026-05-18T04:07:07.561962+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4492","created_at":"2026-05-18T04:07:07.561962+00:00"},{"alias_kind":"pith_short_12","alias_value":"VUA37EH6GJPB","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"VUA37EH6GJPBDH27","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"VUA37EH6","created_at":"2026-05-18T12:26:44.992195+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VUA37EH6GJPBDH27FQOF4IYMWO","json":"https://pith.science/pith/VUA37EH6GJPBDH27FQOF4IYMWO.json","graph_json":"https://pith.science/api/pith-number/VUA37EH6GJPBDH27FQOF4IYMWO/graph.json","events_json":"https://pith.science/api/pith-number/VUA37EH6GJPBDH27FQOF4IYMWO/events.json","paper":"https://pith.science/paper/VUA37EH6"},"agent_actions":{"view_html":"https://pith.science/pith/VUA37EH6GJPBDH27FQOF4IYMWO","download_json":"https://pith.science/pith/VUA37EH6GJPBDH27FQOF4IYMWO.json","view_paper":"https://pith.science/paper/VUA37EH6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.4492&json=true","fetch_graph":"https://pith.science/api/pith-number/VUA37EH6GJPBDH27FQOF4IYMWO/graph.json","fetch_events":"https://pith.science/api/pith-number/VUA37EH6GJPBDH27FQOF4IYMWO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VUA37EH6GJPBDH27FQOF4IYMWO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VUA37EH6GJPBDH27FQOF4IYMWO/action/storage_attestation","attest_author":"https://pith.science/pith/VUA37EH6GJPBDH27FQOF4IYMWO/action/author_attestation","sign_citation":"https://pith.science/pith/VUA37EH6GJPBDH27FQOF4IYMWO/action/citation_signature","submit_replication":"https://pith.science/pith/VUA37EH6GJPBDH27FQOF4IYMWO/action/replication_record"}},"created_at":"2026-05-18T04:07:07.561962+00:00","updated_at":"2026-05-18T04:07:07.561962+00:00"}