{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:QICOMJBMBFN22CYZ32ELCUSPYI","short_pith_number":"pith:QICOMJBM","schema_version":"1.0","canonical_sha256":"8204e6242c095bad0b19de88b1524fc2109aa17e62764579243cb7c0270c0406","source":{"kind":"arxiv","id":"1202.3169","version":2},"attestation_state":"computed","paper":{"title":"On the thermodynamics of volume/mass diffusion in fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jason M. Reese, S. Kokou Dadzie","submitted_at":"2012-02-14T22:46:17Z","abstract_excerpt":"In Physica A vol 387(24) (2008) pp6079-6094 [1], a kinetic equation for gas flows was proposed that leads to a set of four macroscopic conservation equations, rather than the traditional set of three equations. The additional equation arises due to local spatial random molecular behavior, which has been described as a volume or mass diffusion process. In this present paper, we describe a procedure to construct a Gibbs-type equation and a second-law associated with these kinetic and continuum models. We also point out the close link between the kinetic equation in [1] and that proposed previous"},"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":"1202.3169","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-14T22:46:17Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"8b8a21388fe967c5f626627caec1c3e2c5e2da35fc78519b5b279063209fbb33","abstract_canon_sha256":"d3087a4926b98b1b9a287928cca6ba46aed5941bf5993beb970f697fb87e5f8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:24.270854Z","signature_b64":"QH1ha1wVRXw+GkiK22FNaxed2EgB2PJ4L6hT9vt/zfqD8YvDsg3nPi45wJRLVa2r70agBleDO3o+OTGxfiEhDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8204e6242c095bad0b19de88b1524fc2109aa17e62764579243cb7c0270c0406","last_reissued_at":"2026-05-18T03:58:24.270114Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:24.270114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the thermodynamics of volume/mass diffusion in fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jason M. Reese, S. Kokou Dadzie","submitted_at":"2012-02-14T22:46:17Z","abstract_excerpt":"In Physica A vol 387(24) (2008) pp6079-6094 [1], a kinetic equation for gas flows was proposed that leads to a set of four macroscopic conservation equations, rather than the traditional set of three equations. The additional equation arises due to local spatial random molecular behavior, which has been described as a volume or mass diffusion process. In this present paper, we describe a procedure to construct a Gibbs-type equation and a second-law associated with these kinetic and continuum models. We also point out the close link between the kinetic equation in [1] and that proposed previous"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3169","kind":"arxiv","version":2},"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":"1202.3169","created_at":"2026-05-18T03:58:24.270211+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.3169v2","created_at":"2026-05-18T03:58:24.270211+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3169","created_at":"2026-05-18T03:58:24.270211+00:00"},{"alias_kind":"pith_short_12","alias_value":"QICOMJBMBFN2","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QICOMJBMBFN22CYZ","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QICOMJBM","created_at":"2026-05-18T12:27:18.751474+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/QICOMJBMBFN22CYZ32ELCUSPYI","json":"https://pith.science/pith/QICOMJBMBFN22CYZ32ELCUSPYI.json","graph_json":"https://pith.science/api/pith-number/QICOMJBMBFN22CYZ32ELCUSPYI/graph.json","events_json":"https://pith.science/api/pith-number/QICOMJBMBFN22CYZ32ELCUSPYI/events.json","paper":"https://pith.science/paper/QICOMJBM"},"agent_actions":{"view_html":"https://pith.science/pith/QICOMJBMBFN22CYZ32ELCUSPYI","download_json":"https://pith.science/pith/QICOMJBMBFN22CYZ32ELCUSPYI.json","view_paper":"https://pith.science/paper/QICOMJBM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.3169&json=true","fetch_graph":"https://pith.science/api/pith-number/QICOMJBMBFN22CYZ32ELCUSPYI/graph.json","fetch_events":"https://pith.science/api/pith-number/QICOMJBMBFN22CYZ32ELCUSPYI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QICOMJBMBFN22CYZ32ELCUSPYI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QICOMJBMBFN22CYZ32ELCUSPYI/action/storage_attestation","attest_author":"https://pith.science/pith/QICOMJBMBFN22CYZ32ELCUSPYI/action/author_attestation","sign_citation":"https://pith.science/pith/QICOMJBMBFN22CYZ32ELCUSPYI/action/citation_signature","submit_replication":"https://pith.science/pith/QICOMJBMBFN22CYZ32ELCUSPYI/action/replication_record"}},"created_at":"2026-05-18T03:58:24.270211+00:00","updated_at":"2026-05-18T03:58:24.270211+00:00"}