{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:W2YQJJVTNLXLJULWINTW7YPHZZ","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":"392683d752a734862bfc9dce08bf537c444997403a79b2a3df1bc87f2a387880","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"quant-ph","submitted_at":"2003-07-18T15:19:21Z","title_canon_sha256":"ee3077475cf9eccbd4c78c668f2ca727ef9b90a802af317311e52cb839a92386"},"schema_version":"1.0","source":{"id":"quant-ph/0307130","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0307130","created_at":"2026-07-04T14:46:21Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0307130v7","created_at":"2026-07-04T14:46:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0307130","created_at":"2026-07-04T14:46:21Z"},{"alias_kind":"pith_short_12","alias_value":"W2YQJJVTNLXL","created_at":"2026-07-04T14:46:21Z"},{"alias_kind":"pith_short_16","alias_value":"W2YQJJVTNLXLJULW","created_at":"2026-07-04T14:46:21Z"},{"alias_kind":"pith_short_8","alias_value":"W2YQJJVT","created_at":"2026-07-04T14:46:21Z"}],"graph_snapshots":[{"event_id":"sha256:11ade9d67c5533138da1959ef834d662e4c497057a48f54df29513f5f29b219e","target":"graph","created_at":"2026-07-04T14:46:21Z","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/0307130/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Graph states are multi-particle entangled states that correspond to mathematical graphs, where the vertices of the graph take the role of quantum spin systems and edges represent Ising interactions. They are many-body spin states of distributed quantum systems that play a significant role in quantum error correction, multi-party quantum communication, and quantum computation within the framework of the one-way quantum computer. We characterize and quantify the genuine multi-particle entanglement of such graph states in terms of the Schmidt measure, to which we provide upper and lower bounds in","authors_text":"H.J. Briegel, J. Eisert, M. Hein","cross_cats":["cond-mat"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2003-07-18T15:19:21Z","title":"Multi-party entanglement in graph states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0307130","kind":"arxiv","version":7},"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":"sha256:28708274cdbbdae3f40e811bfb4bd2d67ef18293fa10f59d66c56852fb0fb8f2","target":"record","created_at":"2026-07-04T14:46:21Z","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":"392683d752a734862bfc9dce08bf537c444997403a79b2a3df1bc87f2a387880","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"quant-ph","submitted_at":"2003-07-18T15:19:21Z","title_canon_sha256":"ee3077475cf9eccbd4c78c668f2ca727ef9b90a802af317311e52cb839a92386"},"schema_version":"1.0","source":{"id":"quant-ph/0307130","kind":"arxiv","version":7}},"canonical_sha256":"b6b104a6b36aeeb4d17643676fe1e7ce41a046d9c380f4c514cd2f9995f01935","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6b104a6b36aeeb4d17643676fe1e7ce41a046d9c380f4c514cd2f9995f01935","first_computed_at":"2026-07-04T14:46:21.792516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:46:21.792516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vRd/VZU5zVmevdFU2f6ziudD20LqlmboLPBb+2nYGlrdhlwTSriXU3dBVZqrkXfHn4kbseGXpzTxQtdSQhphAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:46:21.792870Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0307130","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28708274cdbbdae3f40e811bfb4bd2d67ef18293fa10f59d66c56852fb0fb8f2","sha256:11ade9d67c5533138da1959ef834d662e4c497057a48f54df29513f5f29b219e"],"state_sha256":"57789d4f0ee5be0f22c1163269a735bd8a1954c1f282bbd8815c4727dbfea5e3"}