{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:UGDECU5ANJEIMC4TAHQ2OTSKAL","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":"0cb1d2d74cef66ca4c6a73ab9e46236a8db51d54c3002cfebb2826c853aad098","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-11-08T08:35:16Z","title_canon_sha256":"df3e954fff5509654a98003925360758bd2173e25fd56c65cf6cd9dc25694899"},"schema_version":"1.0","source":{"id":"0911.1493","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1493","created_at":"2026-05-18T03:57:37Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1493v6","created_at":"2026-05-18T03:57:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1493","created_at":"2026-05-18T03:57:37Z"},{"alias_kind":"pith_short_12","alias_value":"UGDECU5ANJEI","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"UGDECU5ANJEIMC4T","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"UGDECU5A","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:4768d9f14dcce1021600952690cb378bf319398b11418459de2ed9c328f2bd34","target":"graph","created_at":"2026-05-18T03:57:37Z","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 provide methods for computing the geometric measure of entanglement for two families of pure states with both experimental and theoretical interests: symmetric multiqubit states with non-negative amplitudes in the Dicke basis and symmetric three-qubit states. In addition, we study the geometric measure of pure three-qubit states systematically in virtue of a canonical form of their two-qubit reduced states, and derive analytical formulae for a three-parameter family of three-qubit states. Based on this result, we further show that the W state is the maximally entangled three-qubit state wit","authors_text":"Aimin Xu, Huangjun Zhu, Lin Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-11-08T08:35:16Z","title":"Geometric measure of entanglement for pure multipartite states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1493","kind":"arxiv","version":6},"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:c213840e61feb7d467d8d2f5e3dcdd4cabad2c3f1aaed119ac016ea3cb38bbfe","target":"record","created_at":"2026-05-18T03:57:37Z","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":"0cb1d2d74cef66ca4c6a73ab9e46236a8db51d54c3002cfebb2826c853aad098","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-11-08T08:35:16Z","title_canon_sha256":"df3e954fff5509654a98003925360758bd2173e25fd56c65cf6cd9dc25694899"},"schema_version":"1.0","source":{"id":"0911.1493","kind":"arxiv","version":6}},"canonical_sha256":"a1864153a06a48860b9301e1a74e4a02d65ad428cd6dd51e57995ee96880433d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1864153a06a48860b9301e1a74e4a02d65ad428cd6dd51e57995ee96880433d","first_computed_at":"2026-05-18T03:57:37.504293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:37.504293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eZW6HGYMHd7zYQFXzWS00QNirhYNuOk4XfRKbTctktJ+ffxq6re/QicNgATvb9+jVE0mf1FWQgI0LdtynLVRBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:37.505154Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.1493","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c213840e61feb7d467d8d2f5e3dcdd4cabad2c3f1aaed119ac016ea3cb38bbfe","sha256:4768d9f14dcce1021600952690cb378bf319398b11418459de2ed9c328f2bd34"],"state_sha256":"c107d43ac5c8ed998900e58348c2da3c70b1572c19002112e4b7c1c21d063001"}