{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:M5I2BMN6B2CUCCLQN2OQ7AKVNH","short_pith_number":"pith:M5I2BMN6","schema_version":"1.0","canonical_sha256":"6751a0b1be0e854109706e9d0f815569e5212731218f0c7d08cdb16696f5eb69","source":{"kind":"arxiv","id":"1204.2227","version":2},"attestation_state":"computed","paper":{"title":"An algebraic approach to the study of multipartite entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. Messina, B. Militello, S. Di Martino","submitted_at":"2012-04-10T17:44:17Z","abstract_excerpt":"A simple algebraic approach to the study of multipartite entanglement for pure states is introduced together with a class of suitable functionals able to detect entanglement. On this basis, some known results are reproduced. Indeed, by investigating the properties of the introduced functionals, it is shown that a subset of such class is strictly connected to the purity. Moreover, a direct and basic solution to the problem of the simultaneous maximization of three appropriate functionals for three-qubit states is provided, confirming that the simultaneous maximization of the entanglement for al"},"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":"1204.2227","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-10T17:44:17Z","cross_cats_sorted":[],"title_canon_sha256":"02c64b9e9b87c0bea44a5d3d9fbbcba1cae99c1bac26b49c903e91978e191d7f","abstract_canon_sha256":"d903646fc53b0a43b2de6d4e6ddfe6acfa532a3bd2a8656f9cf01216717a22b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:26.810105Z","signature_b64":"+fFzLITWailVTvC2SL/KnYfpNpX0RoJ6Z/BKTHrKf0+Mlh/Hsd5m7xWceH1C+APG1pNpCWZRvQv7meGV0RxTBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6751a0b1be0e854109706e9d0f815569e5212731218f0c7d08cdb16696f5eb69","last_reissued_at":"2026-05-18T03:18:26.809560Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:26.809560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An algebraic approach to the study of multipartite entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. Messina, B. Militello, S. Di Martino","submitted_at":"2012-04-10T17:44:17Z","abstract_excerpt":"A simple algebraic approach to the study of multipartite entanglement for pure states is introduced together with a class of suitable functionals able to detect entanglement. On this basis, some known results are reproduced. Indeed, by investigating the properties of the introduced functionals, it is shown that a subset of such class is strictly connected to the purity. Moreover, a direct and basic solution to the problem of the simultaneous maximization of three appropriate functionals for three-qubit states is provided, confirming that the simultaneous maximization of the entanglement for al"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2227","kind":"arxiv","version":2},"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":"1204.2227","created_at":"2026-05-18T03:18:26.809653+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.2227v2","created_at":"2026-05-18T03:18:26.809653+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2227","created_at":"2026-05-18T03:18:26.809653+00:00"},{"alias_kind":"pith_short_12","alias_value":"M5I2BMN6B2CU","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"M5I2BMN6B2CUCCLQ","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"M5I2BMN6","created_at":"2026-05-18T12:27:14.488303+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M5I2BMN6B2CUCCLQN2OQ7AKVNH","json":"https://pith.science/pith/M5I2BMN6B2CUCCLQN2OQ7AKVNH.json","graph_json":"https://pith.science/api/pith-number/M5I2BMN6B2CUCCLQN2OQ7AKVNH/graph.json","events_json":"https://pith.science/api/pith-number/M5I2BMN6B2CUCCLQN2OQ7AKVNH/events.json","paper":"https://pith.science/paper/M5I2BMN6"},"agent_actions":{"view_html":"https://pith.science/pith/M5I2BMN6B2CUCCLQN2OQ7AKVNH","download_json":"https://pith.science/pith/M5I2BMN6B2CUCCLQN2OQ7AKVNH.json","view_paper":"https://pith.science/paper/M5I2BMN6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.2227&json=true","fetch_graph":"https://pith.science/api/pith-number/M5I2BMN6B2CUCCLQN2OQ7AKVNH/graph.json","fetch_events":"https://pith.science/api/pith-number/M5I2BMN6B2CUCCLQN2OQ7AKVNH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M5I2BMN6B2CUCCLQN2OQ7AKVNH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M5I2BMN6B2CUCCLQN2OQ7AKVNH/action/storage_attestation","attest_author":"https://pith.science/pith/M5I2BMN6B2CUCCLQN2OQ7AKVNH/action/author_attestation","sign_citation":"https://pith.science/pith/M5I2BMN6B2CUCCLQN2OQ7AKVNH/action/citation_signature","submit_replication":"https://pith.science/pith/M5I2BMN6B2CUCCLQN2OQ7AKVNH/action/replication_record"}},"created_at":"2026-05-18T03:18:26.809653+00:00","updated_at":"2026-05-18T03:18:26.809653+00:00"}