{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:IOTQFLHWK23YMUVV2S2UUML35N","short_pith_number":"pith:IOTQFLHW","schema_version":"1.0","canonical_sha256":"43a702acf656b78652b5d4b54a317beb750dd01d52b7b1d2d61c45cc2be25f39","source":{"kind":"arxiv","id":"math-ph/0610054","version":2},"attestation_state":"computed","paper":{"title":"Extended Weak Coupling Limit for Pauli-Fierz Operators","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jan Derezinski, Wojciech De Roeck","submitted_at":"2006-10-22T21:15:54Z","abstract_excerpt":"We consider the weak coupling limit for a quantum system consisting of a small subsystem and reservoirs. It is known rigorously since [Dav74] that the Heisenberg evolution restricted to the small system converges in an appropriate sense to a Markovian semigroup. In the nineties, Accardi, Frigerio and Lu [AFL90] initiated an investigation of the convergence of the unreduced unitary evolution to a singular unitary evolution generated by a quantum Langevin equation.\n  We present a version of this convergence which is both simpler and stronger than the formulations which we know. Our main result s"},"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":"math-ph/0610054","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2006-10-22T21:15:54Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f2f1958c9eb6549a2abf6bb5b5031cd85c9c847e6c79ca0b3be0e4a9507a7487","abstract_canon_sha256":"2e774a1f558e91e90ad249535f497302a1c104d388e0eafe84e9192d686fafff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:02:21.082321Z","signature_b64":"GOZaP9iIdRpd1GABC//XbcmVsJnHnyYxvxjpD69LGOcYdzMbUav5mfCP8vWOhz1OagnNB5IlNEXeQNT5H3ZdCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43a702acf656b78652b5d4b54a317beb750dd01d52b7b1d2d61c45cc2be25f39","last_reissued_at":"2026-07-04T15:02:21.081970Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:02:21.081970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extended Weak Coupling Limit for Pauli-Fierz Operators","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jan Derezinski, Wojciech De Roeck","submitted_at":"2006-10-22T21:15:54Z","abstract_excerpt":"We consider the weak coupling limit for a quantum system consisting of a small subsystem and reservoirs. It is known rigorously since [Dav74] that the Heisenberg evolution restricted to the small system converges in an appropriate sense to a Markovian semigroup. In the nineties, Accardi, Frigerio and Lu [AFL90] initiated an investigation of the convergence of the unreduced unitary evolution to a singular unitary evolution generated by a quantum Langevin equation.\n  We present a version of this convergence which is both simpler and stronger than the formulations which we know. Our main result s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0610054","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math-ph/0610054/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":"math-ph/0610054","created_at":"2026-07-04T15:02:21.082031+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0610054v2","created_at":"2026-07-04T15:02:21.082031+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0610054","created_at":"2026-07-04T15:02:21.082031+00:00"},{"alias_kind":"pith_short_12","alias_value":"IOTQFLHWK23Y","created_at":"2026-07-04T15:02:21.082031+00:00"},{"alias_kind":"pith_short_16","alias_value":"IOTQFLHWK23YMUVV","created_at":"2026-07-04T15:02:21.082031+00:00"},{"alias_kind":"pith_short_8","alias_value":"IOTQFLHW","created_at":"2026-07-04T15:02:21.082031+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/IOTQFLHWK23YMUVV2S2UUML35N","json":"https://pith.science/pith/IOTQFLHWK23YMUVV2S2UUML35N.json","graph_json":"https://pith.science/api/pith-number/IOTQFLHWK23YMUVV2S2UUML35N/graph.json","events_json":"https://pith.science/api/pith-number/IOTQFLHWK23YMUVV2S2UUML35N/events.json","paper":"https://pith.science/paper/IOTQFLHW"},"agent_actions":{"view_html":"https://pith.science/pith/IOTQFLHWK23YMUVV2S2UUML35N","download_json":"https://pith.science/pith/IOTQFLHWK23YMUVV2S2UUML35N.json","view_paper":"https://pith.science/paper/IOTQFLHW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0610054&json=true","fetch_graph":"https://pith.science/api/pith-number/IOTQFLHWK23YMUVV2S2UUML35N/graph.json","fetch_events":"https://pith.science/api/pith-number/IOTQFLHWK23YMUVV2S2UUML35N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IOTQFLHWK23YMUVV2S2UUML35N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IOTQFLHWK23YMUVV2S2UUML35N/action/storage_attestation","attest_author":"https://pith.science/pith/IOTQFLHWK23YMUVV2S2UUML35N/action/author_attestation","sign_citation":"https://pith.science/pith/IOTQFLHWK23YMUVV2S2UUML35N/action/citation_signature","submit_replication":"https://pith.science/pith/IOTQFLHWK23YMUVV2S2UUML35N/action/replication_record"}},"created_at":"2026-07-04T15:02:21.082031+00:00","updated_at":"2026-07-04T15:02:21.082031+00:00"}