{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:UUCU4UTMRHQMP2KXMAQLQWSM3X","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":"8934b4a13d9208763ceda4f865396831614fd2ff4efd39c1afe16422f583608c","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-05-20T10:06:37Z","title_canon_sha256":"8cf648092a726c4eeee75124e064a19fe676c85b4e3315449236ade988c52457"},"schema_version":"1.0","source":{"id":"quant-ph/0505149","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0505149","created_at":"2026-07-04T14:58:45Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0505149v2","created_at":"2026-07-04T14:58:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0505149","created_at":"2026-07-04T14:58:45Z"},{"alias_kind":"pith_short_12","alias_value":"UUCU4UTMRHQM","created_at":"2026-07-04T14:58:45Z"},{"alias_kind":"pith_short_16","alias_value":"UUCU4UTMRHQMP2KX","created_at":"2026-07-04T14:58:45Z"},{"alias_kind":"pith_short_8","alias_value":"UUCU4UTM","created_at":"2026-07-04T14:58:45Z"}],"graph_snapshots":[{"event_id":"sha256:ec8781d8cd04933e157ea239dd83f1f258932759243b41d2af3f809d86edabcb","target":"graph","created_at":"2026-07-04T14:58:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/0505149/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We review the theory of multi-particle entanglement. In this book chapter we aim at briefly ``setting the coordinates'' and guiding through the extensive literature in this field. Our coordinate system chosen for this chapter has the axes labeled pure and mixed states on the one hand, entanglement in single specimens and the asymptotic setting on the other hand. We very briefly mention ways to detect multi-particle entanglement, and introduce the concepts of stabilizer and graph states.","authors_text":"D. Gross, J. Eisert","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2005-05-20T10:06:37Z","title":"Multi-particle entanglement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0505149","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:f1f9bf6bc9a4713def3c137be7ec888cd826e9ded5ec7267b0a2b634b14868f4","target":"record","created_at":"2026-07-04T14:58:45Z","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":"8934b4a13d9208763ceda4f865396831614fd2ff4efd39c1afe16422f583608c","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-05-20T10:06:37Z","title_canon_sha256":"8cf648092a726c4eeee75124e064a19fe676c85b4e3315449236ade988c52457"},"schema_version":"1.0","source":{"id":"quant-ph/0505149","kind":"arxiv","version":2}},"canonical_sha256":"a5054e526c89e0c7e9576020b85a4cddf58b256a7a448eec285d1cb85b0db762","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5054e526c89e0c7e9576020b85a4cddf58b256a7a448eec285d1cb85b0db762","first_computed_at":"2026-07-04T14:58:45.051168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:58:45.051168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3zfVxtUpR/68CkORt+17aDZEsPrBSqq++AvJbHjEBf6iU/CoaGsDeiPTAbeDmmgJw3F1ts6Yu9xfSzQU1IijDw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:58:45.051530Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0505149","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1f9bf6bc9a4713def3c137be7ec888cd826e9ded5ec7267b0a2b634b14868f4","sha256:ec8781d8cd04933e157ea239dd83f1f258932759243b41d2af3f809d86edabcb"],"state_sha256":"dfe4b34b8d86666364fd6b93b6455adabfaf1a9ea5709b1ec0848744f44102d7"}