{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:5646TMJMPKXRAJ7MUHHSXYP2CW","short_pith_number":"pith:5646TMJM","schema_version":"1.0","canonical_sha256":"efb9e9b12c7aaf1027eca1cf2be1fa1598a561f37d4846b9b7e97264b368c509","source":{"kind":"arxiv","id":"2211.11008","version":1},"attestation_state":"computed","paper":{"title":"Complete Positivity Violation in Higher-order Quantum Adiabatic Elimination","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alain Sarlette, Cyril Elouard, Masaaki Tokieda, Pierre Rouchon","submitted_at":"2022-11-20T15:56:03Z","abstract_excerpt":"When a composite Lindblad system consists of weakly coupled sub-systems with fast and slow timescales, the description of slow dynamics can be simplified by discarding fast degrees of freedom. This model reduction technique is called adiabatic elimination. While second-order perturbative expansion with respect to the timescale separation has revealed that the evolution of a reduced state is completely positive, this paper presents an example exhibiting complete positivity violation in the fourth-order expansion. Despite the non-uniqueness of slow dynamics parametrization, we prove that complet"},"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":"2211.11008","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-11-20T15:56:03Z","cross_cats_sorted":[],"title_canon_sha256":"128bac8d0b4043f0937209f6adc5075f2dd2a181ea52dc261ac666c0d8170c01","abstract_canon_sha256":"ada31c7730ae3420705a60a49a4e68e1af63a2fed8a316de02a86764de197fcb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:17:37.491961Z","signature_b64":"UKzfkilwbfRf9J3Cd6OiZZ2g4iJedWWEJGCSgKbEtoyPxk6842ky4aiPQSOTgbtZyTmw5q5szqgQv2tLwcyxBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efb9e9b12c7aaf1027eca1cf2be1fa1598a561f37d4846b9b7e97264b368c509","last_reissued_at":"2026-07-05T05:17:37.491541Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:17:37.491541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Complete Positivity Violation in Higher-order Quantum Adiabatic Elimination","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alain Sarlette, Cyril Elouard, Masaaki Tokieda, Pierre Rouchon","submitted_at":"2022-11-20T15:56:03Z","abstract_excerpt":"When a composite Lindblad system consists of weakly coupled sub-systems with fast and slow timescales, the description of slow dynamics can be simplified by discarding fast degrees of freedom. This model reduction technique is called adiabatic elimination. While second-order perturbative expansion with respect to the timescale separation has revealed that the evolution of a reduced state is completely positive, this paper presents an example exhibiting complete positivity violation in the fourth-order expansion. Despite the non-uniqueness of slow dynamics parametrization, we prove that complet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.11008","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2211.11008/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2211.11008","created_at":"2026-07-05T05:17:37.491601+00:00"},{"alias_kind":"arxiv_version","alias_value":"2211.11008v1","created_at":"2026-07-05T05:17:37.491601+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.11008","created_at":"2026-07-05T05:17:37.491601+00:00"},{"alias_kind":"pith_short_12","alias_value":"5646TMJMPKXR","created_at":"2026-07-05T05:17:37.491601+00:00"},{"alias_kind":"pith_short_16","alias_value":"5646TMJMPKXRAJ7M","created_at":"2026-07-05T05:17:37.491601+00:00"},{"alias_kind":"pith_short_8","alias_value":"5646TMJM","created_at":"2026-07-05T05:17:37.491601+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/5646TMJMPKXRAJ7MUHHSXYP2CW","json":"https://pith.science/pith/5646TMJMPKXRAJ7MUHHSXYP2CW.json","graph_json":"https://pith.science/api/pith-number/5646TMJMPKXRAJ7MUHHSXYP2CW/graph.json","events_json":"https://pith.science/api/pith-number/5646TMJMPKXRAJ7MUHHSXYP2CW/events.json","paper":"https://pith.science/paper/5646TMJM"},"agent_actions":{"view_html":"https://pith.science/pith/5646TMJMPKXRAJ7MUHHSXYP2CW","download_json":"https://pith.science/pith/5646TMJMPKXRAJ7MUHHSXYP2CW.json","view_paper":"https://pith.science/paper/5646TMJM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2211.11008&json=true","fetch_graph":"https://pith.science/api/pith-number/5646TMJMPKXRAJ7MUHHSXYP2CW/graph.json","fetch_events":"https://pith.science/api/pith-number/5646TMJMPKXRAJ7MUHHSXYP2CW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5646TMJMPKXRAJ7MUHHSXYP2CW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5646TMJMPKXRAJ7MUHHSXYP2CW/action/storage_attestation","attest_author":"https://pith.science/pith/5646TMJMPKXRAJ7MUHHSXYP2CW/action/author_attestation","sign_citation":"https://pith.science/pith/5646TMJMPKXRAJ7MUHHSXYP2CW/action/citation_signature","submit_replication":"https://pith.science/pith/5646TMJMPKXRAJ7MUHHSXYP2CW/action/replication_record"}},"created_at":"2026-07-05T05:17:37.491601+00:00","updated_at":"2026-07-05T05:17:37.491601+00:00"}