{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:RARGNM3TQ4QI6AZTYAMVSG4CHH","short_pith_number":"pith:RARGNM3T","schema_version":"1.0","canonical_sha256":"882266b37387208f0333c019591b8239e667b35007acd19c77c925afb801441c","source":{"kind":"arxiv","id":"1807.07250","version":1},"attestation_state":"computed","paper":{"title":"Classical Open Systems coupled to Nonlinear Baths: Noise Spectrum and Dynamical Correlations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Chitrak Bhadra, Dhruba Banerjee, Ion Santra","submitted_at":"2018-07-19T06:11:43Z","abstract_excerpt":"Open system dynamics in a classical setting is microscopically governed by the structure of the thermal environment which influences the dynamics of the probe particle (free or in an external potential). Nonlinear baths have recently been shown to impart interesting nonequilibrium correlations in the dissipative dynamics affecting Generalised Langevin Equations and the Fluctuation Dissipation Relations. In the following work, we investigate some aspects of nonlinear baths with rigour relying on perturbative expansions to deal with nonlinear equations. Firstly, the question of noise spectrum em"},"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":"1807.07250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-07-19T06:11:43Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"91b1309bc6ebe6c3f52365d05ec1a4f9170c23071b75f1c404fd06cfb6fa997d","abstract_canon_sha256":"ae5e2c4a728fb3f6778be02ca507b8b83c85e3008970dccbad3d2674c2446a66"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:20.760065Z","signature_b64":"nfFwZnRV3MMgtR6X/SnHzsSLmgxZtZhehnZzD6LNQ9SNCHocsAfD+UiDOi5KEvbYSj/EkBQ9TUuQsOZzASN/BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"882266b37387208f0333c019591b8239e667b35007acd19c77c925afb801441c","last_reissued_at":"2026-05-18T00:10:20.759347Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:20.759347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classical Open Systems coupled to Nonlinear Baths: Noise Spectrum and Dynamical Correlations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Chitrak Bhadra, Dhruba Banerjee, Ion Santra","submitted_at":"2018-07-19T06:11:43Z","abstract_excerpt":"Open system dynamics in a classical setting is microscopically governed by the structure of the thermal environment which influences the dynamics of the probe particle (free or in an external potential). Nonlinear baths have recently been shown to impart interesting nonequilibrium correlations in the dissipative dynamics affecting Generalised Langevin Equations and the Fluctuation Dissipation Relations. In the following work, we investigate some aspects of nonlinear baths with rigour relying on perturbative expansions to deal with nonlinear equations. Firstly, the question of noise spectrum em"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.07250","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":"1807.07250","created_at":"2026-05-18T00:10:20.759452+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.07250v1","created_at":"2026-05-18T00:10:20.759452+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.07250","created_at":"2026-05-18T00:10:20.759452+00:00"},{"alias_kind":"pith_short_12","alias_value":"RARGNM3TQ4QI","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"RARGNM3TQ4QI6AZT","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"RARGNM3T","created_at":"2026-05-18T12:32:50.500415+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/RARGNM3TQ4QI6AZTYAMVSG4CHH","json":"https://pith.science/pith/RARGNM3TQ4QI6AZTYAMVSG4CHH.json","graph_json":"https://pith.science/api/pith-number/RARGNM3TQ4QI6AZTYAMVSG4CHH/graph.json","events_json":"https://pith.science/api/pith-number/RARGNM3TQ4QI6AZTYAMVSG4CHH/events.json","paper":"https://pith.science/paper/RARGNM3T"},"agent_actions":{"view_html":"https://pith.science/pith/RARGNM3TQ4QI6AZTYAMVSG4CHH","download_json":"https://pith.science/pith/RARGNM3TQ4QI6AZTYAMVSG4CHH.json","view_paper":"https://pith.science/paper/RARGNM3T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.07250&json=true","fetch_graph":"https://pith.science/api/pith-number/RARGNM3TQ4QI6AZTYAMVSG4CHH/graph.json","fetch_events":"https://pith.science/api/pith-number/RARGNM3TQ4QI6AZTYAMVSG4CHH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RARGNM3TQ4QI6AZTYAMVSG4CHH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RARGNM3TQ4QI6AZTYAMVSG4CHH/action/storage_attestation","attest_author":"https://pith.science/pith/RARGNM3TQ4QI6AZTYAMVSG4CHH/action/author_attestation","sign_citation":"https://pith.science/pith/RARGNM3TQ4QI6AZTYAMVSG4CHH/action/citation_signature","submit_replication":"https://pith.science/pith/RARGNM3TQ4QI6AZTYAMVSG4CHH/action/replication_record"}},"created_at":"2026-05-18T00:10:20.759452+00:00","updated_at":"2026-05-18T00:10:20.759452+00:00"}