{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TOCGEG6KUYMJ435NZUUPZTT4M5","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":"b9ab8c758cfadda065018a21fc4ddf8a51f2b60529e94a6a21319d5936041dc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-03T14:29:56Z","title_canon_sha256":"64313f99ae3ec30026c1ddcbd0f41d3e7b4aedb0fc14f2b1b1d9fe3cc3b8b298"},"schema_version":"1.0","source":{"id":"1307.1026","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.1026","created_at":"2026-05-18T03:19:23Z"},{"alias_kind":"arxiv_version","alias_value":"1307.1026v1","created_at":"2026-05-18T03:19:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1026","created_at":"2026-05-18T03:19:23Z"},{"alias_kind":"pith_short_12","alias_value":"TOCGEG6KUYMJ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TOCGEG6KUYMJ435N","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TOCGEG6K","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:fafae701bc9d3ad2bde60143af677782fc5b4a56dd530fa55a42bf8cbe7da280","target":"graph","created_at":"2026-05-18T03:19:23Z","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 present an inequality for detecting entanglement and distillability of arbitrary dimensional bipartite systems. This inequality provides a sufficient condition of entanglement for bipartite mixed states, and a necessary and sufficient condition of entanglement for bipartite pure states. Moreover, the inequality also gives a necessary and sufficient condition for distillability.","authors_text":"Ming-Jing Zhao, Shao-Ming Fei, Ting-Gui Zhang, Xianqing Li-Jost","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-03T14:29:56Z","title":"Entanglement Detection and Distillation for Arbitrary Bipartite Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1026","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":"sha256:5e9c20a4557411562140010bd2beee98feea743b4824c3a065ad828ba7f504cc","target":"record","created_at":"2026-05-18T03:19:23Z","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":"b9ab8c758cfadda065018a21fc4ddf8a51f2b60529e94a6a21319d5936041dc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-03T14:29:56Z","title_canon_sha256":"64313f99ae3ec30026c1ddcbd0f41d3e7b4aedb0fc14f2b1b1d9fe3cc3b8b298"},"schema_version":"1.0","source":{"id":"1307.1026","kind":"arxiv","version":1}},"canonical_sha256":"9b84621bcaa6189e6fadcd28fcce7c674b85f318dd7208678f543a1618c6c2a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b84621bcaa6189e6fadcd28fcce7c674b85f318dd7208678f543a1618c6c2a3","first_computed_at":"2026-05-18T03:19:23.133816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:23.133816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gnXZsv46SGcuf1AXmG55sOHl5Mng/PKNgnewPVLK+buQ2sKYp1TacS7Zu/xs7d7VJTgVafC4qUcB7IDFuxBFBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:23.134407Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.1026","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e9c20a4557411562140010bd2beee98feea743b4824c3a065ad828ba7f504cc","sha256:fafae701bc9d3ad2bde60143af677782fc5b4a56dd530fa55a42bf8cbe7da280"],"state_sha256":"499d07a3d2d16675daab9354ca57b1e76acd9988933c4f06791484b9b462779c"}