{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FJLRAVE2JUORWDP5K5443UNSLD","short_pith_number":"pith:FJLRAVE2","schema_version":"1.0","canonical_sha256":"2a5710549a4d1d1b0dfd5779cdd1b258d494e01f698f9d809fd7a2eea9296ef8","source":{"kind":"arxiv","id":"1702.03702","version":3},"attestation_state":"computed","paper":{"title":"When the assignment map is completely positive","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Iman Sargolzahi, Sayyed Yahya Mirafzali","submitted_at":"2017-02-13T10:19:38Z","abstract_excerpt":"Finding the general set of system-environment states for which the reduced dynamics of the system is completely positive (CP) is the subject of some recent works. An advance in this context appeared in [X. Lu, Phys. Rev. A 93, 042332 (2016)], where the problem has been solved for the case of CP assignment map. Here, we restate this result using the framework introduced in [J. M. Dominy et al., Quantum Inf. Process. 15, 465 (2016)]. This, we think, clarifies the mentioned result better and so leads to a generalization of it, straightforwardly."},"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":"1702.03702","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-13T10:19:38Z","cross_cats_sorted":[],"title_canon_sha256":"6fc0757e450cdf1206ed41a2d92126ff1042da4e901fdd3f32b210410000fc09","abstract_canon_sha256":"af9d33b6fd87e5549f9eda1e3985b1feb0f2296ee39ecc76fcd4410874e7e29e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:15.088064Z","signature_b64":"lZbvMDDrB+cd5dw2L+s9KUzHWJoo2Y8tJ8cCz/j/fxUk+e9QY7UNZEcDGBbaSRTqHMv/ekDPjdqbBRoRIN81Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a5710549a4d1d1b0dfd5779cdd1b258d494e01f698f9d809fd7a2eea9296ef8","last_reissued_at":"2026-05-17T23:58:15.087515Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:15.087515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"When the assignment map is completely positive","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Iman Sargolzahi, Sayyed Yahya Mirafzali","submitted_at":"2017-02-13T10:19:38Z","abstract_excerpt":"Finding the general set of system-environment states for which the reduced dynamics of the system is completely positive (CP) is the subject of some recent works. An advance in this context appeared in [X. Lu, Phys. Rev. A 93, 042332 (2016)], where the problem has been solved for the case of CP assignment map. Here, we restate this result using the framework introduced in [J. M. Dominy et al., Quantum Inf. Process. 15, 465 (2016)]. This, we think, clarifies the mentioned result better and so leads to a generalization of it, straightforwardly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03702","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":"1702.03702","created_at":"2026-05-17T23:58:15.087599+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.03702v3","created_at":"2026-05-17T23:58:15.087599+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03702","created_at":"2026-05-17T23:58:15.087599+00:00"},{"alias_kind":"pith_short_12","alias_value":"FJLRAVE2JUOR","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"FJLRAVE2JUORWDP5","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"FJLRAVE2","created_at":"2026-05-18T12:31:15.632608+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/FJLRAVE2JUORWDP5K5443UNSLD","json":"https://pith.science/pith/FJLRAVE2JUORWDP5K5443UNSLD.json","graph_json":"https://pith.science/api/pith-number/FJLRAVE2JUORWDP5K5443UNSLD/graph.json","events_json":"https://pith.science/api/pith-number/FJLRAVE2JUORWDP5K5443UNSLD/events.json","paper":"https://pith.science/paper/FJLRAVE2"},"agent_actions":{"view_html":"https://pith.science/pith/FJLRAVE2JUORWDP5K5443UNSLD","download_json":"https://pith.science/pith/FJLRAVE2JUORWDP5K5443UNSLD.json","view_paper":"https://pith.science/paper/FJLRAVE2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.03702&json=true","fetch_graph":"https://pith.science/api/pith-number/FJLRAVE2JUORWDP5K5443UNSLD/graph.json","fetch_events":"https://pith.science/api/pith-number/FJLRAVE2JUORWDP5K5443UNSLD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FJLRAVE2JUORWDP5K5443UNSLD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FJLRAVE2JUORWDP5K5443UNSLD/action/storage_attestation","attest_author":"https://pith.science/pith/FJLRAVE2JUORWDP5K5443UNSLD/action/author_attestation","sign_citation":"https://pith.science/pith/FJLRAVE2JUORWDP5K5443UNSLD/action/citation_signature","submit_replication":"https://pith.science/pith/FJLRAVE2JUORWDP5K5443UNSLD/action/replication_record"}},"created_at":"2026-05-17T23:58:15.087599+00:00","updated_at":"2026-05-17T23:58:15.087599+00:00"}