{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:J6X2WU5ZIIA5TLDRM2SWZBSFXB","short_pith_number":"pith:J6X2WU5Z","schema_version":"1.0","canonical_sha256":"4fafab53b94201d9ac7166a56c8645b8750487c486d2ef548446a35dcc42031e","source":{"kind":"arxiv","id":"2306.04467","version":1},"attestation_state":"computed","paper":{"title":"High-order Compact Gas-kinetic Scheme for Two-layer Shallow Water Equations on Unstructured Mesh","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Fengxiang Zhao, Jianping Gan, Kun Xu","submitted_at":"2023-06-07T14:39:28Z","abstract_excerpt":"For the two-layer shallow water equations, a high-order compact gas-kinetic scheme (GKS) on triangular mesh is proposed. The two-layer shallow water equations have complex source terms in comparison with the single layer equations. The main focus of this study is to construct a time-accurate evolution solution at a cell interface and to design a well-balanced scheme. The evolution model at a cell interface provides not only the numerical fluxes, but also the flow variables. The time-dependent flow variables at the closed cell interfaces can be used to update the cell-averaged gradients for 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":"2306.04467","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-06-07T14:39:28Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"08c325516efb32ffac1224e0522169f92ff8f8aa09c7e0c2d9b3c29df9b12ea3","abstract_canon_sha256":"13f57778636f07590a00f13685e7151a3f6ea5a2892638d0472955116402c324"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:18:30.692050Z","signature_b64":"y4IaqU7jFRbKstcqhBM3S3hqUgaJdrTgIDa69ihqLnhLboYYFS3AdtpKx8wyZNzoqnY9QiZVSsUbr+FcVUTSCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fafab53b94201d9ac7166a56c8645b8750487c486d2ef548446a35dcc42031e","last_reissued_at":"2026-07-05T06:18:30.691634Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:18:30.691634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"High-order Compact Gas-kinetic Scheme for Two-layer Shallow Water Equations on Unstructured Mesh","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Fengxiang Zhao, Jianping Gan, Kun Xu","submitted_at":"2023-06-07T14:39:28Z","abstract_excerpt":"For the two-layer shallow water equations, a high-order compact gas-kinetic scheme (GKS) on triangular mesh is proposed. The two-layer shallow water equations have complex source terms in comparison with the single layer equations. The main focus of this study is to construct a time-accurate evolution solution at a cell interface and to design a well-balanced scheme. The evolution model at a cell interface provides not only the numerical fluxes, but also the flow variables. The time-dependent flow variables at the closed cell interfaces can be used to update the cell-averaged gradients for the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.04467","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2306.04467/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2306.04467","created_at":"2026-07-05T06:18:30.691691+00:00"},{"alias_kind":"arxiv_version","alias_value":"2306.04467v1","created_at":"2026-07-05T06:18:30.691691+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.04467","created_at":"2026-07-05T06:18:30.691691+00:00"},{"alias_kind":"pith_short_12","alias_value":"J6X2WU5ZIIA5","created_at":"2026-07-05T06:18:30.691691+00:00"},{"alias_kind":"pith_short_16","alias_value":"J6X2WU5ZIIA5TLDR","created_at":"2026-07-05T06:18:30.691691+00:00"},{"alias_kind":"pith_short_8","alias_value":"J6X2WU5Z","created_at":"2026-07-05T06:18:30.691691+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/J6X2WU5ZIIA5TLDRM2SWZBSFXB","json":"https://pith.science/pith/J6X2WU5ZIIA5TLDRM2SWZBSFXB.json","graph_json":"https://pith.science/api/pith-number/J6X2WU5ZIIA5TLDRM2SWZBSFXB/graph.json","events_json":"https://pith.science/api/pith-number/J6X2WU5ZIIA5TLDRM2SWZBSFXB/events.json","paper":"https://pith.science/paper/J6X2WU5Z"},"agent_actions":{"view_html":"https://pith.science/pith/J6X2WU5ZIIA5TLDRM2SWZBSFXB","download_json":"https://pith.science/pith/J6X2WU5ZIIA5TLDRM2SWZBSFXB.json","view_paper":"https://pith.science/paper/J6X2WU5Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2306.04467&json=true","fetch_graph":"https://pith.science/api/pith-number/J6X2WU5ZIIA5TLDRM2SWZBSFXB/graph.json","fetch_events":"https://pith.science/api/pith-number/J6X2WU5ZIIA5TLDRM2SWZBSFXB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J6X2WU5ZIIA5TLDRM2SWZBSFXB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J6X2WU5ZIIA5TLDRM2SWZBSFXB/action/storage_attestation","attest_author":"https://pith.science/pith/J6X2WU5ZIIA5TLDRM2SWZBSFXB/action/author_attestation","sign_citation":"https://pith.science/pith/J6X2WU5ZIIA5TLDRM2SWZBSFXB/action/citation_signature","submit_replication":"https://pith.science/pith/J6X2WU5ZIIA5TLDRM2SWZBSFXB/action/replication_record"}},"created_at":"2026-07-05T06:18:30.691691+00:00","updated_at":"2026-07-05T06:18:30.691691+00:00"}