{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:5UDDWU63J3T6ATAK3I33VTNTDI","short_pith_number":"pith:5UDDWU63","schema_version":"1.0","canonical_sha256":"ed063b53db4ee7e04c0ada37bacdb31a3e4f251d16f4ceed76f46c07a7fdbee7","source":{"kind":"arxiv","id":"1006.1594","version":1},"attestation_state":"computed","paper":{"title":"Multiparticle covariance matrices and the impossibility of detecting graph state entanglement with two-particle correlations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Oleg Gittsovich, Otfried G\\\"uhne, Philipp Hyllus","submitted_at":"2010-06-08T15:53:59Z","abstract_excerpt":"We present a criterion for multiparticle entanglement based on covariance matrices. On the one hand, the criterion allows to detect bound entangled states which are not detected by other criteria; on the other hand, some strongly entangled pure states such as the GHZ states are not detected. We show, however, that this is a general phenomenon: No separability criterion based on two-particle correlations can recognize the entanglement in the family of graph states, to which the GHZ states belong."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1006.1594","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-06-08T15:53:59Z","cross_cats_sorted":[],"title_canon_sha256":"070827e2c3f2ac17067b630a2a8015155f3993e4bf5996427177cfd8cb1e56fe","abstract_canon_sha256":"c9762536163e12c3fd006ce8494927d406a6f164ab5aa08f395d5b7aa1c0dfcb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:05.840481Z","signature_b64":"0ndCOHAgCcvDuI0Udvg5A5aPpVOA6M2boZyVbsyU9CKtC43iluqoXzb5dhmscUCVoIomvw4B4/iAxnY5JrHyDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed063b53db4ee7e04c0ada37bacdb31a3e4f251d16f4ceed76f46c07a7fdbee7","last_reissued_at":"2026-05-18T04:41:05.840056Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:05.840056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiparticle covariance matrices and the impossibility of detecting graph state entanglement with two-particle correlations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Oleg Gittsovich, Otfried G\\\"uhne, Philipp Hyllus","submitted_at":"2010-06-08T15:53:59Z","abstract_excerpt":"We present a criterion for multiparticle entanglement based on covariance matrices. On the one hand, the criterion allows to detect bound entangled states which are not detected by other criteria; on the other hand, some strongly entangled pure states such as the GHZ states are not detected. We show, however, that this is a general phenomenon: No separability criterion based on two-particle correlations can recognize the entanglement in the family of graph states, to which the GHZ states belong."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1594","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1006.1594","created_at":"2026-05-18T04:41:05.840119+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.1594v1","created_at":"2026-05-18T04:41:05.840119+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1594","created_at":"2026-05-18T04:41:05.840119+00:00"},{"alias_kind":"pith_short_12","alias_value":"5UDDWU63J3T6","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"5UDDWU63J3T6ATAK","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"5UDDWU63","created_at":"2026-05-18T12:26:04.259169+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1906.10929","citing_title":"Entanglement Certification $-$ From Theory to Experiment","ref_index":104,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5UDDWU63J3T6ATAK3I33VTNTDI","json":"https://pith.science/pith/5UDDWU63J3T6ATAK3I33VTNTDI.json","graph_json":"https://pith.science/api/pith-number/5UDDWU63J3T6ATAK3I33VTNTDI/graph.json","events_json":"https://pith.science/api/pith-number/5UDDWU63J3T6ATAK3I33VTNTDI/events.json","paper":"https://pith.science/paper/5UDDWU63"},"agent_actions":{"view_html":"https://pith.science/pith/5UDDWU63J3T6ATAK3I33VTNTDI","download_json":"https://pith.science/pith/5UDDWU63J3T6ATAK3I33VTNTDI.json","view_paper":"https://pith.science/paper/5UDDWU63","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.1594&json=true","fetch_graph":"https://pith.science/api/pith-number/5UDDWU63J3T6ATAK3I33VTNTDI/graph.json","fetch_events":"https://pith.science/api/pith-number/5UDDWU63J3T6ATAK3I33VTNTDI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5UDDWU63J3T6ATAK3I33VTNTDI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5UDDWU63J3T6ATAK3I33VTNTDI/action/storage_attestation","attest_author":"https://pith.science/pith/5UDDWU63J3T6ATAK3I33VTNTDI/action/author_attestation","sign_citation":"https://pith.science/pith/5UDDWU63J3T6ATAK3I33VTNTDI/action/citation_signature","submit_replication":"https://pith.science/pith/5UDDWU63J3T6ATAK3I33VTNTDI/action/replication_record"}},"created_at":"2026-05-18T04:41:05.840119+00:00","updated_at":"2026-05-18T04:41:05.840119+00:00"}