{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:TNXHLAEH2MRJ4TOQ4QBB3TGWRF","short_pith_number":"pith:TNXHLAEH","schema_version":"1.0","canonical_sha256":"9b6e758087d3229e4dd0e4021dccd6894121a4114b4327ccbb1339341dccdce2","source":{"kind":"arxiv","id":"1004.3496","version":3},"attestation_state":"computed","paper":{"title":"The Origin of Separable States and Separability Criteria from Entanglement-breaking Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Bang-Hai Wang, Dongyang Long, Qin Li","submitted_at":"2010-04-20T16:20:46Z","abstract_excerpt":"In this paper, we show that an arbitrary separable state can be the output of a certain entanglement-breaking channel corresponding exactly to the input of a maximally entangled state. A necessary and sufficient separability criterion and some sufficient separability criteria from entanglement-breaking channels are given."},"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":"1004.3496","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-20T16:20:46Z","cross_cats_sorted":[],"title_canon_sha256":"165b14238bb764180b031926c30feea9bdc4c72e4217a3c756567c12add73099","abstract_canon_sha256":"327578d826882cad7538f57104cdb6765c516499b77d3628ad6ef7f86db46455"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:07:56.146902Z","signature_b64":"cwfqYQr+63iTKRhtjncE8bcgaRNRka9skZ4Vqh2cbabb6iBSEDzbRUv06fzcLJFms/Pb3jW+AZcaVsFvGDJEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b6e758087d3229e4dd0e4021dccd6894121a4114b4327ccbb1339341dccdce2","last_reissued_at":"2026-05-18T02:07:56.146178Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:07:56.146178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Origin of Separable States and Separability Criteria from Entanglement-breaking Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Bang-Hai Wang, Dongyang Long, Qin Li","submitted_at":"2010-04-20T16:20:46Z","abstract_excerpt":"In this paper, we show that an arbitrary separable state can be the output of a certain entanglement-breaking channel corresponding exactly to the input of a maximally entangled state. A necessary and sufficient separability criterion and some sufficient separability criteria from entanglement-breaking channels are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3496","kind":"arxiv","version":3},"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":"1004.3496","created_at":"2026-05-18T02:07:56.146283+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.3496v3","created_at":"2026-05-18T02:07:56.146283+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3496","created_at":"2026-05-18T02:07:56.146283+00:00"},{"alias_kind":"pith_short_12","alias_value":"TNXHLAEH2MRJ","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"TNXHLAEH2MRJ4TOQ","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"TNXHLAEH","created_at":"2026-05-18T12:26:13.927090+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/TNXHLAEH2MRJ4TOQ4QBB3TGWRF","json":"https://pith.science/pith/TNXHLAEH2MRJ4TOQ4QBB3TGWRF.json","graph_json":"https://pith.science/api/pith-number/TNXHLAEH2MRJ4TOQ4QBB3TGWRF/graph.json","events_json":"https://pith.science/api/pith-number/TNXHLAEH2MRJ4TOQ4QBB3TGWRF/events.json","paper":"https://pith.science/paper/TNXHLAEH"},"agent_actions":{"view_html":"https://pith.science/pith/TNXHLAEH2MRJ4TOQ4QBB3TGWRF","download_json":"https://pith.science/pith/TNXHLAEH2MRJ4TOQ4QBB3TGWRF.json","view_paper":"https://pith.science/paper/TNXHLAEH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.3496&json=true","fetch_graph":"https://pith.science/api/pith-number/TNXHLAEH2MRJ4TOQ4QBB3TGWRF/graph.json","fetch_events":"https://pith.science/api/pith-number/TNXHLAEH2MRJ4TOQ4QBB3TGWRF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TNXHLAEH2MRJ4TOQ4QBB3TGWRF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TNXHLAEH2MRJ4TOQ4QBB3TGWRF/action/storage_attestation","attest_author":"https://pith.science/pith/TNXHLAEH2MRJ4TOQ4QBB3TGWRF/action/author_attestation","sign_citation":"https://pith.science/pith/TNXHLAEH2MRJ4TOQ4QBB3TGWRF/action/citation_signature","submit_replication":"https://pith.science/pith/TNXHLAEH2MRJ4TOQ4QBB3TGWRF/action/replication_record"}},"created_at":"2026-05-18T02:07:56.146283+00:00","updated_at":"2026-05-18T02:07:56.146283+00:00"}