{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:3NOK5RTOXWGLAYB62TPL3BN5KV","short_pith_number":"pith:3NOK5RTO","schema_version":"1.0","canonical_sha256":"db5caec66ebd8cb0603ed4debd85bd557dc29f5c6d33cee70cad767a8def6a17","source":{"kind":"arxiv","id":"cond-mat/9706077","version":1},"attestation_state":"computed","paper":{"title":"Simultaneous Brownian Motion of N Particles in a Temperature Gradient","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"J. M. Rub\\'i, P. Mazur","submitted_at":"1997-06-09T07:54:15Z","abstract_excerpt":"A system of N Brownian particles suspended in a nonuniform heat bath is treated as a thermodynamic system whith internal degrees of freedom, in this case their velocities and coordinates. Applying the scheme of non-equilibrium thermodynamics, one then easily obtains the Fokker-Planck equation for simultaneous Brownian motion of N particles in a temperature gradient. This equation accounts for couplings in the motion as a result of hydrodynamic interactions between particles."},"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":"cond-mat/9706077","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1997-06-09T07:54:15Z","cross_cats_sorted":[],"title_canon_sha256":"42745580bc95883137fac24282e2eb8a8a087c96113d098e1f32186467ebd8b9","abstract_canon_sha256":"6ce4d0defbbb632f4220d3e020579f0b6cba32bd25b1702ee3f80bc1c00a5534"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:20.254924Z","signature_b64":"zcB6jAHekYmwo16UxDiF2ViTTOcT4wsWRCiuZkacIYdyCvDeUsztiloc35Qe5pyEmKMAfq0pUuJu4W41zzLmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db5caec66ebd8cb0603ed4debd85bd557dc29f5c6d33cee70cad767a8def6a17","last_reissued_at":"2026-05-18T01:09:20.254453Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:20.254453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simultaneous Brownian Motion of N Particles in a Temperature Gradient","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"J. M. Rub\\'i, P. Mazur","submitted_at":"1997-06-09T07:54:15Z","abstract_excerpt":"A system of N Brownian particles suspended in a nonuniform heat bath is treated as a thermodynamic system whith internal degrees of freedom, in this case their velocities and coordinates. Applying the scheme of non-equilibrium thermodynamics, one then easily obtains the Fokker-Planck equation for simultaneous Brownian motion of N particles in a temperature gradient. This equation accounts for couplings in the motion as a result of hydrodynamic interactions between particles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9706077","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":"cond-mat/9706077","created_at":"2026-05-18T01:09:20.254527+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9706077v1","created_at":"2026-05-18T01:09:20.254527+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9706077","created_at":"2026-05-18T01:09:20.254527+00:00"},{"alias_kind":"pith_short_12","alias_value":"3NOK5RTOXWGL","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"3NOK5RTOXWGLAYB6","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"3NOK5RTO","created_at":"2026-05-18T12:25:48.327863+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/3NOK5RTOXWGLAYB62TPL3BN5KV","json":"https://pith.science/pith/3NOK5RTOXWGLAYB62TPL3BN5KV.json","graph_json":"https://pith.science/api/pith-number/3NOK5RTOXWGLAYB62TPL3BN5KV/graph.json","events_json":"https://pith.science/api/pith-number/3NOK5RTOXWGLAYB62TPL3BN5KV/events.json","paper":"https://pith.science/paper/3NOK5RTO"},"agent_actions":{"view_html":"https://pith.science/pith/3NOK5RTOXWGLAYB62TPL3BN5KV","download_json":"https://pith.science/pith/3NOK5RTOXWGLAYB62TPL3BN5KV.json","view_paper":"https://pith.science/paper/3NOK5RTO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/9706077&json=true","fetch_graph":"https://pith.science/api/pith-number/3NOK5RTOXWGLAYB62TPL3BN5KV/graph.json","fetch_events":"https://pith.science/api/pith-number/3NOK5RTOXWGLAYB62TPL3BN5KV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3NOK5RTOXWGLAYB62TPL3BN5KV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3NOK5RTOXWGLAYB62TPL3BN5KV/action/storage_attestation","attest_author":"https://pith.science/pith/3NOK5RTOXWGLAYB62TPL3BN5KV/action/author_attestation","sign_citation":"https://pith.science/pith/3NOK5RTOXWGLAYB62TPL3BN5KV/action/citation_signature","submit_replication":"https://pith.science/pith/3NOK5RTOXWGLAYB62TPL3BN5KV/action/replication_record"}},"created_at":"2026-05-18T01:09:20.254527+00:00","updated_at":"2026-05-18T01:09:20.254527+00:00"}