{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:JQDJBBTKMGNQ3UWHIPMPJFPE7Q","short_pith_number":"pith:JQDJBBTK","schema_version":"1.0","canonical_sha256":"4c0690866a619b0dd2c743d8f495e4fc24381e02016ff98facc6ce7c35084ce2","source":{"kind":"arxiv","id":"1405.4479","version":2},"attestation_state":"computed","paper":{"title":"A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows IV: full Boltzmann and Model Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Chang Liu, Kun Xu, Qingdong Cai, Quanhua Sun","submitted_at":"2014-05-18T09:38:18Z","abstract_excerpt":"Fluid dynamic equations are valid in their respective modeling scales. With a variation of the modeling scales, theoretically there should have a continuous spectrum of fluid dynamic equations. In order to study multiscale flow evolution efficiently, the dynamics in the computational fluid has to be changed with the scales. A direct modeling of flow physics with a changeable scale may become an appropriate approach. The unified gas-kinetic scheme (UGKS) is a direct modeling method in the mesh size scale, and its underlying flow physics depends on the resolution of the cell size relative to the"},"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":"1405.4479","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-05-18T09:38:18Z","cross_cats_sorted":[],"title_canon_sha256":"4d0c48bc6d4ab0929c127cb476d923105f2a680c9ba75f154c9045bb6c99525e","abstract_canon_sha256":"48771afbab892509a94388b7e0317dfebc7118d61b9a8730b97dd6a60779c9f9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:37.024360Z","signature_b64":"HLYvMLfYImnHbE1oVqDfQyFg98l27J2M91Or36uDj7fIYfNw4sIn9Z++Gv9o55Re71lwt5fL1k+ORuwrB9OEBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c0690866a619b0dd2c743d8f495e4fc24381e02016ff98facc6ce7c35084ce2","last_reissued_at":"2026-05-18T00:27:37.023608Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:37.023608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows IV: full Boltzmann and Model Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Chang Liu, Kun Xu, Qingdong Cai, Quanhua Sun","submitted_at":"2014-05-18T09:38:18Z","abstract_excerpt":"Fluid dynamic equations are valid in their respective modeling scales. With a variation of the modeling scales, theoretically there should have a continuous spectrum of fluid dynamic equations. In order to study multiscale flow evolution efficiently, the dynamics in the computational fluid has to be changed with the scales. A direct modeling of flow physics with a changeable scale may become an appropriate approach. The unified gas-kinetic scheme (UGKS) is a direct modeling method in the mesh size scale, and its underlying flow physics depends on the resolution of the cell size relative to the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4479","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":"1405.4479","created_at":"2026-05-18T00:27:37.023730+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.4479v2","created_at":"2026-05-18T00:27:37.023730+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4479","created_at":"2026-05-18T00:27:37.023730+00:00"},{"alias_kind":"pith_short_12","alias_value":"JQDJBBTKMGNQ","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"JQDJBBTKMGNQ3UWH","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"JQDJBBTK","created_at":"2026-05-18T12:28:35.611951+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/JQDJBBTKMGNQ3UWHIPMPJFPE7Q","json":"https://pith.science/pith/JQDJBBTKMGNQ3UWHIPMPJFPE7Q.json","graph_json":"https://pith.science/api/pith-number/JQDJBBTKMGNQ3UWHIPMPJFPE7Q/graph.json","events_json":"https://pith.science/api/pith-number/JQDJBBTKMGNQ3UWHIPMPJFPE7Q/events.json","paper":"https://pith.science/paper/JQDJBBTK"},"agent_actions":{"view_html":"https://pith.science/pith/JQDJBBTKMGNQ3UWHIPMPJFPE7Q","download_json":"https://pith.science/pith/JQDJBBTKMGNQ3UWHIPMPJFPE7Q.json","view_paper":"https://pith.science/paper/JQDJBBTK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.4479&json=true","fetch_graph":"https://pith.science/api/pith-number/JQDJBBTKMGNQ3UWHIPMPJFPE7Q/graph.json","fetch_events":"https://pith.science/api/pith-number/JQDJBBTKMGNQ3UWHIPMPJFPE7Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JQDJBBTKMGNQ3UWHIPMPJFPE7Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JQDJBBTKMGNQ3UWHIPMPJFPE7Q/action/storage_attestation","attest_author":"https://pith.science/pith/JQDJBBTKMGNQ3UWHIPMPJFPE7Q/action/author_attestation","sign_citation":"https://pith.science/pith/JQDJBBTKMGNQ3UWHIPMPJFPE7Q/action/citation_signature","submit_replication":"https://pith.science/pith/JQDJBBTKMGNQ3UWHIPMPJFPE7Q/action/replication_record"}},"created_at":"2026-05-18T00:27:37.023730+00:00","updated_at":"2026-05-18T00:27:37.023730+00:00"}