{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:JKYTP5QYQOFT3QAIYHIZZ3KLCQ","short_pith_number":"pith:JKYTP5QY","schema_version":"1.0","canonical_sha256":"4ab137f618838b3dc008c1d19ced4b142f30a797c78a2d689073bd4f5b09899d","source":{"kind":"arxiv","id":"1001.3655","version":1},"attestation_state":"computed","paper":{"title":"Dualities and positivity in the study of quantum entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Lukasz Skowronek","submitted_at":"2010-01-20T19:47:01Z","abstract_excerpt":"We present a survey on mathematical topics relating to separable states and entanglement witnesses. The convex cone duality between separable states and entanglement witnesses is discussed and later generalized to other families of operators, leading to their characterization via multiplicative properties. The condition for an operator to be an entanglement witness is rephrased as a problem of positivity of a family of real polynomials. By solving the latter in a specific case of a three-parameter family of operators, we obtain explicit description of entanglement witnesses belonging to that f"},"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":"1001.3655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-20T19:47:01Z","cross_cats_sorted":[],"title_canon_sha256":"af94ec55605980b0753b14d3f82ddbe4ccf3900fd433629fab5d586f8834cb44","abstract_canon_sha256":"f5f20f6065fd061109ef149ff6f0b01441e5f578e06b58b158ad4b37861c43b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:13.181627Z","signature_b64":"rZDPaphUjtUNNAPQuhOgKSx+enaWZKHKB/Wmm5aENmX2i35H18v4hJ7w0auQe5KiE6l73B2HTPHTNcXm7WosDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ab137f618838b3dc008c1d19ced4b142f30a797c78a2d689073bd4f5b09899d","last_reissued_at":"2026-05-18T04:31:13.181182Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:13.181182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dualities and positivity in the study of quantum entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Lukasz Skowronek","submitted_at":"2010-01-20T19:47:01Z","abstract_excerpt":"We present a survey on mathematical topics relating to separable states and entanglement witnesses. The convex cone duality between separable states and entanglement witnesses is discussed and later generalized to other families of operators, leading to their characterization via multiplicative properties. The condition for an operator to be an entanglement witness is rephrased as a problem of positivity of a family of real polynomials. By solving the latter in a specific case of a three-parameter family of operators, we obtain explicit description of entanglement witnesses belonging to that f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.3655","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":"1001.3655","created_at":"2026-05-18T04:31:13.181245+00:00"},{"alias_kind":"arxiv_version","alias_value":"1001.3655v1","created_at":"2026-05-18T04:31:13.181245+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.3655","created_at":"2026-05-18T04:31:13.181245+00:00"},{"alias_kind":"pith_short_12","alias_value":"JKYTP5QYQOFT","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"JKYTP5QYQOFT3QAI","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"JKYTP5QY","created_at":"2026-05-18T12:26:09.077623+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/JKYTP5QYQOFT3QAIYHIZZ3KLCQ","json":"https://pith.science/pith/JKYTP5QYQOFT3QAIYHIZZ3KLCQ.json","graph_json":"https://pith.science/api/pith-number/JKYTP5QYQOFT3QAIYHIZZ3KLCQ/graph.json","events_json":"https://pith.science/api/pith-number/JKYTP5QYQOFT3QAIYHIZZ3KLCQ/events.json","paper":"https://pith.science/paper/JKYTP5QY"},"agent_actions":{"view_html":"https://pith.science/pith/JKYTP5QYQOFT3QAIYHIZZ3KLCQ","download_json":"https://pith.science/pith/JKYTP5QYQOFT3QAIYHIZZ3KLCQ.json","view_paper":"https://pith.science/paper/JKYTP5QY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1001.3655&json=true","fetch_graph":"https://pith.science/api/pith-number/JKYTP5QYQOFT3QAIYHIZZ3KLCQ/graph.json","fetch_events":"https://pith.science/api/pith-number/JKYTP5QYQOFT3QAIYHIZZ3KLCQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JKYTP5QYQOFT3QAIYHIZZ3KLCQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JKYTP5QYQOFT3QAIYHIZZ3KLCQ/action/storage_attestation","attest_author":"https://pith.science/pith/JKYTP5QYQOFT3QAIYHIZZ3KLCQ/action/author_attestation","sign_citation":"https://pith.science/pith/JKYTP5QYQOFT3QAIYHIZZ3KLCQ/action/citation_signature","submit_replication":"https://pith.science/pith/JKYTP5QYQOFT3QAIYHIZZ3KLCQ/action/replication_record"}},"created_at":"2026-05-18T04:31:13.181245+00:00","updated_at":"2026-05-18T04:31:13.181245+00:00"}