{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:SAP2K77C3JISGU3377YBTT54PH","short_pith_number":"pith:SAP2K77C","schema_version":"1.0","canonical_sha256":"901fa57fe2da5123537bfff019cfbc79eb81595f53c11fc6bc6ba81cbab97f6f","source":{"kind":"arxiv","id":"1802.09848","version":1},"attestation_state":"computed","paper":{"title":"Generalized Langevin Equation and non-Markovian fluctuation-dissipation theorem for particle-bath systems in external oscillating fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","physics.chem-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alessio Zaccone, Bingyu Cui","submitted_at":"2018-02-27T12:15:59Z","abstract_excerpt":"The Generalized Langevin Equation (GLE) can be derived from a particle-bath Hamiltonian, in both classical and quantum dynamics, and provides a route to the (both Markovian and non-Markovian) fluctuation-dissipation theorem (FDT). All previous studies have focused either on particle-bath systems with time-independent external forces only, or on the simplified case where only the tagged particle is subject to the external time-dependent oscillatory field. Here we extend the GLE and the corresponding FDT for the more general case where both the tagged particle and the bath oscillators respond to"},"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":"1802.09848","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-27T12:15:59Z","cross_cats_sorted":["cond-mat.soft","physics.chem-ph"],"title_canon_sha256":"d11002478c8943b9f31c0760d180d00b9fb902e8ff856b56a71c64edf2948427","abstract_canon_sha256":"4f7110a4720908da7e0f47e76d6e91fdc1291371d10df80d80cd2d867b49f2fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:37.890356Z","signature_b64":"XMsx7JqOxzlLowiQNMi8/xp9KyKgDUSzsB3PjTZao96TeB3MhCCJ0Zs+atpldfgw9vSFOcxOLBPwLtP8/JkODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"901fa57fe2da5123537bfff019cfbc79eb81595f53c11fc6bc6ba81cbab97f6f","last_reissued_at":"2026-05-18T00:11:37.889689Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:37.889689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Langevin Equation and non-Markovian fluctuation-dissipation theorem for particle-bath systems in external oscillating fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","physics.chem-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alessio Zaccone, Bingyu Cui","submitted_at":"2018-02-27T12:15:59Z","abstract_excerpt":"The Generalized Langevin Equation (GLE) can be derived from a particle-bath Hamiltonian, in both classical and quantum dynamics, and provides a route to the (both Markovian and non-Markovian) fluctuation-dissipation theorem (FDT). All previous studies have focused either on particle-bath systems with time-independent external forces only, or on the simplified case where only the tagged particle is subject to the external time-dependent oscillatory field. Here we extend the GLE and the corresponding FDT for the more general case where both the tagged particle and the bath oscillators respond to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.09848","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":"1802.09848","created_at":"2026-05-18T00:11:37.889794+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.09848v1","created_at":"2026-05-18T00:11:37.889794+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.09848","created_at":"2026-05-18T00:11:37.889794+00:00"},{"alias_kind":"pith_short_12","alias_value":"SAP2K77C3JIS","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"SAP2K77C3JISGU33","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"SAP2K77C","created_at":"2026-05-18T12:32:50.500415+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2602.22363","citing_title":"A field-biased quantum master equation and its Markovian limit","ref_index":9,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SAP2K77C3JISGU3377YBTT54PH","json":"https://pith.science/pith/SAP2K77C3JISGU3377YBTT54PH.json","graph_json":"https://pith.science/api/pith-number/SAP2K77C3JISGU3377YBTT54PH/graph.json","events_json":"https://pith.science/api/pith-number/SAP2K77C3JISGU3377YBTT54PH/events.json","paper":"https://pith.science/paper/SAP2K77C"},"agent_actions":{"view_html":"https://pith.science/pith/SAP2K77C3JISGU3377YBTT54PH","download_json":"https://pith.science/pith/SAP2K77C3JISGU3377YBTT54PH.json","view_paper":"https://pith.science/paper/SAP2K77C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.09848&json=true","fetch_graph":"https://pith.science/api/pith-number/SAP2K77C3JISGU3377YBTT54PH/graph.json","fetch_events":"https://pith.science/api/pith-number/SAP2K77C3JISGU3377YBTT54PH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SAP2K77C3JISGU3377YBTT54PH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SAP2K77C3JISGU3377YBTT54PH/action/storage_attestation","attest_author":"https://pith.science/pith/SAP2K77C3JISGU3377YBTT54PH/action/author_attestation","sign_citation":"https://pith.science/pith/SAP2K77C3JISGU3377YBTT54PH/action/citation_signature","submit_replication":"https://pith.science/pith/SAP2K77C3JISGU3377YBTT54PH/action/replication_record"}},"created_at":"2026-05-18T00:11:37.889794+00:00","updated_at":"2026-05-18T00:11:37.889794+00:00"}