{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:T7KSWWCBSLJR6P5EYKQUQ5WD7A","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":"6a4dcc47adfd22c5c238577e9511690154da896cef1615d0f70f5d2153a706b0","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math-ph","submitted_at":"2009-08-18T07:39:44Z","title_canon_sha256":"5e3f512c468402024e28d5a66f3d71ad6ad0da40d04d9322831d136b1c7826a7"},"schema_version":"1.0","source":{"id":"0908.2510","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.2510","created_at":"2026-05-18T00:31:05Z"},{"alias_kind":"arxiv_version","alias_value":"0908.2510v2","created_at":"2026-05-18T00:31:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.2510","created_at":"2026-05-18T00:31:05Z"},{"alias_kind":"pith_short_12","alias_value":"T7KSWWCBSLJR","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"T7KSWWCBSLJR6P5E","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"T7KSWWCB","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:b747c760d42ed3828fd4c3d31b8c1ca1b080daaeb7f538dc8b04a34d56c27713","target":"graph","created_at":"2026-05-18T00:31:05Z","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":"By using the sequential effect algebra theory, we establish the partitions and refinements of quantum logics and study their entropies.","authors_text":"Cho Minhyung, Wang Jiamei, Wu Junde","cross_cats":["math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math-ph","submitted_at":"2009-08-18T07:39:44Z","title":"Entropy of Partitions on Sequential Effect Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.2510","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":"sha256:5649e428d76df9495f4e95fc1d54d11488607b32c80e076c09be22b151447853","target":"record","created_at":"2026-05-18T00:31:05Z","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":"6a4dcc47adfd22c5c238577e9511690154da896cef1615d0f70f5d2153a706b0","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math-ph","submitted_at":"2009-08-18T07:39:44Z","title_canon_sha256":"5e3f512c468402024e28d5a66f3d71ad6ad0da40d04d9322831d136b1c7826a7"},"schema_version":"1.0","source":{"id":"0908.2510","kind":"arxiv","version":2}},"canonical_sha256":"9fd52b584192d31f3fa4c2a14876c3f8248de18b7a7312f0bd33fc35d1128f0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9fd52b584192d31f3fa4c2a14876c3f8248de18b7a7312f0bd33fc35d1128f0d","first_computed_at":"2026-05-18T00:31:05.840969Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:05.840969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j3Y1d7jpTpxqtxaSHo7dg8Hnexv4YPu98E+0OD+32xoTiHPdIA92Rp/4sqDA3nw9wbVge3TenVnNs3dRcX1mCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:05.841479Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.2510","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5649e428d76df9495f4e95fc1d54d11488607b32c80e076c09be22b151447853","sha256:b747c760d42ed3828fd4c3d31b8c1ca1b080daaeb7f538dc8b04a34d56c27713"],"state_sha256":"aeb51c8632d40e2fa35671937d5f8b780a75f0d51653b0edcfdea9708741ac8a"}