{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:RN4NTCJBYT2KXJYAG6XKSTH64B","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":"11eb60f503b86be0d9998e7ee9c8dc87f821429d828f5aaf6d0459df3b08c870","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"quant-ph","submitted_at":"2000-08-14T17:31:32Z","title_canon_sha256":"eb6b05d659edac90a93a88c9a9de4589be98d8b5918929fe25f4f2db4a4e6c7a"},"schema_version":"1.0","source":{"id":"quant-ph/0008062","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0008062","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0008062v2","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0008062","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"pith_short_12","alias_value":"RN4NTCJBYT2K","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"pith_short_16","alias_value":"RN4NTCJBYT2KXJYA","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"pith_short_8","alias_value":"RN4NTCJB","created_at":"2026-07-04T14:45:30Z"}],"graph_snapshots":[{"event_id":"sha256:58b3755f801a044a71ed863ff538c9a3316061f2d76148d496b3755ef8ff628d","target":"graph","created_at":"2026-07-04T14:45:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/0008062/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For general non-classical systems, we study the different classical representations that fulfill the specific context dependence imposed by the hidden measurement system formalism introduced in quant-ph/0008061. We show that the collection of non-equivalent representations has a poset structure. We also show that in general, there exists no 'smallest' representation, since this poset is not a semi-lattice. Then we study the possible representations of quantum-like measurement systems. For example, we show that there exists a classical representation of finite dimensional quantum mechanics with","authors_text":"Bob Coecke","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2000-08-14T17:31:32Z","title":"A classification of classical representations for quantum-like systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0008062","kind":"arxiv","version":2},"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":"sha256:825bfb6b32ff696480070f174e80bf9b462bd0a8e9112ce8b4a50022c563925b","target":"record","created_at":"2026-07-04T14:45:30Z","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":"11eb60f503b86be0d9998e7ee9c8dc87f821429d828f5aaf6d0459df3b08c870","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"quant-ph","submitted_at":"2000-08-14T17:31:32Z","title_canon_sha256":"eb6b05d659edac90a93a88c9a9de4589be98d8b5918929fe25f4f2db4a4e6c7a"},"schema_version":"1.0","source":{"id":"quant-ph/0008062","kind":"arxiv","version":2}},"canonical_sha256":"8b78d98921c4f4aba70037aea94cfee0400acf5b9b69b0417a00f898c38bc2c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b78d98921c4f4aba70037aea94cfee0400acf5b9b69b0417a00f898c38bc2c7","first_computed_at":"2026-07-04T14:45:30.971111Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:45:30.971111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8R8vbud9W5IXmBqeczdnXz8s8AprmEnwT12EDxGtTD17iETlrgoVS4w+A16HmpLXn9EKm07rQ4+KTLs1ebGSDA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:45:30.971480Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0008062","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:825bfb6b32ff696480070f174e80bf9b462bd0a8e9112ce8b4a50022c563925b","sha256:58b3755f801a044a71ed863ff538c9a3316061f2d76148d496b3755ef8ff628d"],"state_sha256":"a3abab219b29b0f487b26c21df84daa86c23fff76ad66a53ab7e1524c6ad240a"}