{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SAP2K77C3JISGU3377YBTT54PH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4f7110a4720908da7e0f47e76d6e91fdc1291371d10df80d80cd2d867b49f2fd","cross_cats_sorted":["cond-mat.soft","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-27T12:15:59Z","title_canon_sha256":"d11002478c8943b9f31c0760d180d00b9fb902e8ff856b56a71c64edf2948427"},"schema_version":"1.0","source":{"id":"1802.09848","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.09848","created_at":"2026-05-18T00:11:37Z"},{"alias_kind":"arxiv_version","alias_value":"1802.09848v1","created_at":"2026-05-18T00:11:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.09848","created_at":"2026-05-18T00:11:37Z"},{"alias_kind":"pith_short_12","alias_value":"SAP2K77C3JIS","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"SAP2K77C3JISGU33","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"SAP2K77C","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:d81078a4182118a6533ecb23c9af2590aaaaa21a8d2de73e7a757883d9f6f126","target":"graph","created_at":"2026-05-18T00:11:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Alessio Zaccone, Bingyu Cui","cross_cats":["cond-mat.soft","physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-27T12:15:59Z","title":"Generalized Langevin Equation and non-Markovian fluctuation-dissipation theorem for particle-bath systems in external oscillating fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.09848","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9677fe68bb3883a466260dba8ab5fc8cfabcc03edf96b99c31fe8ab233b3f3fb","target":"record","created_at":"2026-05-18T00:11:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4f7110a4720908da7e0f47e76d6e91fdc1291371d10df80d80cd2d867b49f2fd","cross_cats_sorted":["cond-mat.soft","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-27T12:15:59Z","title_canon_sha256":"d11002478c8943b9f31c0760d180d00b9fb902e8ff856b56a71c64edf2948427"},"schema_version":"1.0","source":{"id":"1802.09848","kind":"arxiv","version":1}},"canonical_sha256":"901fa57fe2da5123537bfff019cfbc79eb81595f53c11fc6bc6ba81cbab97f6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"901fa57fe2da5123537bfff019cfbc79eb81595f53c11fc6bc6ba81cbab97f6f","first_computed_at":"2026-05-18T00:11:37.889689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:37.889689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XMsx7JqOxzlLowiQNMi8/xp9KyKgDUSzsB3PjTZao96TeB3MhCCJ0Zs+atpldfgw9vSFOcxOLBPwLtP8/JkODw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:37.890356Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.09848","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9677fe68bb3883a466260dba8ab5fc8cfabcc03edf96b99c31fe8ab233b3f3fb","sha256:d81078a4182118a6533ecb23c9af2590aaaaa21a8d2de73e7a757883d9f6f126"],"state_sha256":"38769d5517241b67460f59b9648ebc85dda3344a03c2be8e00c19f9e741e43e8"}