{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:U4KLBDIL22YHRO5F2SHHAGEKNX","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":"a11678eaeb8b006c4536150f1e963189adee82c5e070e953bd7f923a7284fcec","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1996-12-12T15:09:33Z","title_canon_sha256":"6f037122f11a484e7fa0627aa11fd6fc9ad38bf0a5fb759be43b9f7d21f44799"},"schema_version":"1.0","source":{"id":"quant-ph/9612035","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9612035","created_at":"2026-05-18T01:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9612035v1","created_at":"2026-05-18T01:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9612035","created_at":"2026-05-18T01:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"U4KLBDIL22YH","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"U4KLBDIL22YHRO5F","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"U4KLBDIL","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:a05ba294f2f6bade26f633bffdee938f281197a948f3d9d8e81a3d0134d7dd57","target":"graph","created_at":"2026-05-18T01:05:01Z","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":"In standard quantum theory, the ideas of information-entropy and of pure states are closely linked. States are represented by density matrices $\\rho$ on a Hilbert space and the information-entropy $-tr(\\rho\\log\\rho)$ is minimised on pure states (pure states are the vertices of the boundary of the convex set of states). The space of decoherence functions in the consistent histories approach to generalised quantum theory is also a convex set. However, by showing that every decoherence function can be written as a convex combination of two other decoherence functions we demonstrate that there are","authors_text":"C.J. Isham, N. Linden","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1996-12-12T15:09:33Z","title":"Information-entropy and the space of decoherence functions in generalised quantum theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9612035","kind":"arxiv","version":1},"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":"sha256:61899edc1793baea1101897e3f417b5f41adf55f9951cb1cfb32b57a71265fb6","target":"record","created_at":"2026-05-18T01:05:01Z","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":"a11678eaeb8b006c4536150f1e963189adee82c5e070e953bd7f923a7284fcec","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1996-12-12T15:09:33Z","title_canon_sha256":"6f037122f11a484e7fa0627aa11fd6fc9ad38bf0a5fb759be43b9f7d21f44799"},"schema_version":"1.0","source":{"id":"quant-ph/9612035","kind":"arxiv","version":1}},"canonical_sha256":"a714b08d0bd6b078bba5d48e70188a6dc36b67d36130eb90cc9e6391c660f070","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a714b08d0bd6b078bba5d48e70188a6dc36b67d36130eb90cc9e6391c660f070","first_computed_at":"2026-05-18T01:05:01.993375Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:01.993375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sNhM3Brx4oOtELMQZLumIgLURzQKNKvRLuNWYi+FBqpPx8k8TOAhdgBmZAlVKAGsTPSb9pRALJ01SojO/868AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:01.994000Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9612035","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61899edc1793baea1101897e3f417b5f41adf55f9951cb1cfb32b57a71265fb6","sha256:a05ba294f2f6bade26f633bffdee938f281197a948f3d9d8e81a3d0134d7dd57"],"state_sha256":"6388e02214fcfa1b0904dea0584558d8b9d6189d9da64361c02d07a9348e0da3"}