{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:O33DRKMIL5SJOGRAHPZLBWKXNR","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":"e67a97e16270718bfa6460164758959705f947972c30c52312fda481509fccaa","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-10-15T14:42:51Z","title_canon_sha256":"45f294a380b0f33174b894cb7a06e1763cef40e3389ecc2432653bd18dacef8b"},"schema_version":"1.0","source":{"id":"quant-ph/0410124","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0410124","created_at":"2026-05-18T01:08:45Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0410124v1","created_at":"2026-05-18T01:08:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0410124","created_at":"2026-05-18T01:08:45Z"},{"alias_kind":"pith_short_12","alias_value":"O33DRKMIL5SJ","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"O33DRKMIL5SJOGRA","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"O33DRKMI","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:8524ebe8f30e14f7924ac21285ec49c4b9b781db943d2102a74d3cedceb63562","target":"graph","created_at":"2026-05-18T01:08:45Z","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 propose an entanglement tensor to compute the entanglement of a general pure multipartite quantum state. We compare the ensuing tensor with the concurrence for bipartite state and apply the tensor measure to some interesting examples of entangled three-qubit and four-qubit states. It is shown that in defining the degree of entanglement of a multi-partite state, one needs to make assumptions about the willingness of the parties to cooperate. We also discuss the degree of entanglement of the multi-qubit $\\ket{W_{M}}$-states.","authors_text":"Gunnar Bj\\\"ork, Hoshang Heydari","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2004-10-15T14:42:51Z","title":"Entanglement tensor for a general pure multipartite quantum state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0410124","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":"sha256:559a3707624c1ca2db29d897b4d2ee397193d74be89a45f793f68e03f64ab06d","target":"record","created_at":"2026-05-18T01:08:45Z","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":"e67a97e16270718bfa6460164758959705f947972c30c52312fda481509fccaa","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-10-15T14:42:51Z","title_canon_sha256":"45f294a380b0f33174b894cb7a06e1763cef40e3389ecc2432653bd18dacef8b"},"schema_version":"1.0","source":{"id":"quant-ph/0410124","kind":"arxiv","version":1}},"canonical_sha256":"76f638a9885f64971a203bf2b0d9576c726ccfd934a53a44ec9555f045864800","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76f638a9885f64971a203bf2b0d9576c726ccfd934a53a44ec9555f045864800","first_computed_at":"2026-05-18T01:08:45.759779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:45.759779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vjsLO1nODlihePWwbSX33hy5BSIWIgpgT04srKc4748zYhq2PU117jHN+Ek9sFFHAjWCE4JQagKE9+BZgbmADg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:45.760155Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0410124","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:559a3707624c1ca2db29d897b4d2ee397193d74be89a45f793f68e03f64ab06d","sha256:8524ebe8f30e14f7924ac21285ec49c4b9b781db943d2102a74d3cedceb63562"],"state_sha256":"a681e77cfec89807e4998755b967220efeb32c50915ddd8e3268e14c3a7d3429"}