{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:2KFHWMO5ZHBUQKJ2EJFJ6R3NKB","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":"5f599b22a8b1b5d3bf34e350f35dd3a262fded0e60953ac60339110aba74e150","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-01-18T20:48:54Z","title_canon_sha256":"7ea34c59ebec76ab87e55a51e22b030ff5776a929c8970ddc3c9d52cafedfd9c"},"schema_version":"1.0","source":{"id":"quant-ph/0201079","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0201079","created_at":"2026-07-04T14:45:52Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0201079v3","created_at":"2026-07-04T14:45:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0201079","created_at":"2026-07-04T14:45:52Z"},{"alias_kind":"pith_short_12","alias_value":"2KFHWMO5ZHBU","created_at":"2026-07-04T14:45:52Z"},{"alias_kind":"pith_short_16","alias_value":"2KFHWMO5ZHBUQKJ2","created_at":"2026-07-04T14:45:52Z"},{"alias_kind":"pith_short_8","alias_value":"2KFHWMO5","created_at":"2026-07-04T14:45:52Z"}],"graph_snapshots":[{"event_id":"sha256:a1a65b1676acb34d34aa3845b202af7485fb40d80c3c565fbbc12d04bd4d9133","target":"graph","created_at":"2026-07-04T14:45:52Z","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/0201079/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For a multipartite system, we sort out all possible entanglements, each of which is among a set of subsystems. Each entanglement can be measured by a generalized relative entropy of entanglement, which is conserved on average under reversible local operations and classical communication (LOCC) defined for all the parties. Then we derive a series of inequalities of different entanglements that have to be satisfied by any pure state which can be generated by reversible LOCC from the set of all GHZ-like states.","authors_text":"Yu Shi","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2002-01-18T20:48:54Z","title":"All Entanglements in a Multipartite System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0201079","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:b6a09b51b63d53b2c436ea934f0258455e36b61d4891558dac4081dedf0a9795","target":"record","created_at":"2026-07-04T14:45:52Z","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":"5f599b22a8b1b5d3bf34e350f35dd3a262fded0e60953ac60339110aba74e150","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-01-18T20:48:54Z","title_canon_sha256":"7ea34c59ebec76ab87e55a51e22b030ff5776a929c8970ddc3c9d52cafedfd9c"},"schema_version":"1.0","source":{"id":"quant-ph/0201079","kind":"arxiv","version":3}},"canonical_sha256":"d28a7b31ddc9c348293a224a9f476d5055477fadb4ed37dd59fd7bf8f1bdf527","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d28a7b31ddc9c348293a224a9f476d5055477fadb4ed37dd59fd7bf8f1bdf527","first_computed_at":"2026-07-04T14:45:52.697187Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:45:52.697187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fpjflqNBD67xm6031BJu9oP7D6XJqqSzLjBzlgxKiiPzX+AdT9kq9aYR4ik4gXpLpDqO9diAU6KHcOKr5dKaDA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:45:52.697536Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0201079","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6a09b51b63d53b2c436ea934f0258455e36b61d4891558dac4081dedf0a9795","sha256:a1a65b1676acb34d34aa3845b202af7485fb40d80c3c565fbbc12d04bd4d9133"],"state_sha256":"e50395ba8d51b6903a6acef29b416a8eac1837aba0cbf810115b5d635c5ec20e"}