{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VUA37EH6GJPBDH27FQOF4IYMWO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"87923838b4696936c520cf69f4b7c366edbdb06974d18e8b4ecb85fce74dbb79","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-20T11:02:46Z","title_canon_sha256":"4d40ce3add04824159037d6ee276037c08727824b1efa1401322923d4540be89"},"schema_version":"1.0","source":{"id":"1110.4492","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4492","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4492v3","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4492","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"pith_short_12","alias_value":"VUA37EH6GJPB","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VUA37EH6GJPBDH27","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VUA37EH6","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:9a769ae03140359cd529665debc8a034eab1c9b330a8fa4a5b81ae3cf0208e74","target":"graph","created_at":"2026-05-18T04:07:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Ryszard Pawe{\\l} Kostecki","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-20T11:02:46Z","title":"Information dynamics and new geometric foundations of quantum theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4492","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:912c966a5dcfb657db1e230bcb8c1ed18faaa23f9e8ff32bf6d1ea32b5051cb7","target":"record","created_at":"2026-05-18T04:07:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"87923838b4696936c520cf69f4b7c366edbdb06974d18e8b4ecb85fce74dbb79","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-20T11:02:46Z","title_canon_sha256":"4d40ce3add04824159037d6ee276037c08727824b1efa1401322923d4540be89"},"schema_version":"1.0","source":{"id":"1110.4492","kind":"arxiv","version":3}},"canonical_sha256":"ad01bf90fe325e119f5f2c1c5e230cb381907a3b2b6e06e077de3cec8a3e925f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad01bf90fe325e119f5f2c1c5e230cb381907a3b2b6e06e077de3cec8a3e925f","first_computed_at":"2026-05-18T04:07:07.561848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:07.561848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZOXmsv6sAL33XayGg+eH+x8fBPip+0SKrSew4IvoCCQDvKPZULalh1IORGbj9UBQJe63RKygMDxuCPY5eDDqBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:07.562630Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.4492","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:912c966a5dcfb657db1e230bcb8c1ed18faaa23f9e8ff32bf6d1ea32b5051cb7","sha256:9a769ae03140359cd529665debc8a034eab1c9b330a8fa4a5b81ae3cf0208e74"],"state_sha256":"ccf41a58e59c39320dd0975a1dfa411a9e7e403d0a5694d24e7524fce00f09eb"}