{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Y75M3XLSHLA5OBODAVZEINJPKS","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":"32de1ec2825a6504beaffdc39ec7cab98742e833968c1e9eada573ba563d57f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-05-02T15:47:02Z","title_canon_sha256":"8369e953118d9b08888a4b736782a8069dc0ee343fdbd0138e8c16dccdd0bcd3"},"schema_version":"1.0","source":{"id":"1305.0487","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0487","created_at":"2026-05-18T03:17:11Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0487v2","created_at":"2026-05-18T03:17:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0487","created_at":"2026-05-18T03:17:11Z"},{"alias_kind":"pith_short_12","alias_value":"Y75M3XLSHLA5","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"Y75M3XLSHLA5OBOD","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"Y75M3XLS","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:4cf171c485f3b191514a923cf0bbd477d158b17850b2cf88824726bfc0d2d139","target":"graph","created_at":"2026-05-18T03:17:11Z","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":"We consider a charged Brownian gas under the influence of external and non uniform electric, magnetic and mechanical fields, immersed in a non uniform bath temperature. With the collision time as an expansion parameter, we study the solution to the associated Kramers equation, including a linear reactive term. To first order we obtain the asymptotic (overdamped) regime, governed by transport equations, namely: for the particle's density, a Smoluchowski-reactive like equation; for the particle's momentum density, a generalized Ohm's like equation; and for the particle's energy density, a Maxwel","authors_text":"R. E. Lagos, Tania P. Sim\\~oes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-05-02T15:47:02Z","title":"Charged Brownian Particles: Kramers and Smoluchowski Equations and the Hydrothermodynamical Picture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0487","kind":"arxiv","version":2},"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:b54683e143f9224ed98e99d5a9f7f8f3248d03e0ea696c353d5ab8aa023bedb4","target":"record","created_at":"2026-05-18T03:17:11Z","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":"32de1ec2825a6504beaffdc39ec7cab98742e833968c1e9eada573ba563d57f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-05-02T15:47:02Z","title_canon_sha256":"8369e953118d9b08888a4b736782a8069dc0ee343fdbd0138e8c16dccdd0bcd3"},"schema_version":"1.0","source":{"id":"1305.0487","kind":"arxiv","version":2}},"canonical_sha256":"c7facddd723ac1d705c3057244352f54b1cf431d205209c75eea067eb21ec672","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7facddd723ac1d705c3057244352f54b1cf431d205209c75eea067eb21ec672","first_computed_at":"2026-05-18T03:17:11.359264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:11.359264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wp1MsWB2LDF2flcSBZTIibTQ7V8v+v7VOWNtWdjhYGtQrg3WbpQO1V9ATd4PMvCWX+/NkXKFt6PEjqvrcYvEAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:11.360000Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0487","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b54683e143f9224ed98e99d5a9f7f8f3248d03e0ea696c353d5ab8aa023bedb4","sha256:4cf171c485f3b191514a923cf0bbd477d158b17850b2cf88824726bfc0d2d139"],"state_sha256":"3d51f399926caa7459506eb03dac78d6d4faa12ccf1d1b568d024546e8861e36"}