{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:UIQUNLQJSXWUXJBT75ZOF7G6PR","short_pith_number":"pith:UIQUNLQJ","schema_version":"1.0","canonical_sha256":"a22146ae0995ed4ba433ff72e2fcde7c6966d6d63e6deaa7bee73b59efbf1d33","source":{"kind":"arxiv","id":"1412.3580","version":1},"attestation_state":"computed","paper":{"title":"A well-balanced reconstruction for wetting/drying fronts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alexander Kurganov, Andreas Bollermann, Guoxian Chen, Sebastian Noelle","submitted_at":"2014-12-11T09:17:44Z","abstract_excerpt":"In this paper, we construct a well-balanced, positivity preserving finite volume scheme for the shallow water equations based on a continuous, piecewise linear discretization of the bottom topography. The main new technique is a special reconstruction of the flow variables in wet-dry cells, which is presented in this paper for the one dimensional case. We realize the new reconstruction in the framework of the second-order semi-discrete central-upwind scheme from (A. Kurganov and G. Petrova, Commun. Math. Sci., 2007). The positivity of the computed water height is ensured following (A. Bollerma"},"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":"1412.3580","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-12-11T09:17:44Z","cross_cats_sorted":[],"title_canon_sha256":"9f5dd8b1e0673d7c433482acb31bb9a1e7e587310e23280bcddec0eebbc7da05","abstract_canon_sha256":"5e0a41d50ad54412b84869150b5bd5ce4974b0bbf33e35a578cb0d1f11aba1bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:30.802573Z","signature_b64":"9g6Cr0oDT6VPnuTfcrzYZsisiGwwq73abDfJBbarQGW3wqC6Wg+wTSIb5TpYiZ4PCmqA32qJEJMVCnrCI57hDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a22146ae0995ed4ba433ff72e2fcde7c6966d6d63e6deaa7bee73b59efbf1d33","last_reissued_at":"2026-05-18T02:31:30.802163Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:30.802163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A well-balanced reconstruction for wetting/drying fronts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alexander Kurganov, Andreas Bollermann, Guoxian Chen, Sebastian Noelle","submitted_at":"2014-12-11T09:17:44Z","abstract_excerpt":"In this paper, we construct a well-balanced, positivity preserving finite volume scheme for the shallow water equations based on a continuous, piecewise linear discretization of the bottom topography. The main new technique is a special reconstruction of the flow variables in wet-dry cells, which is presented in this paper for the one dimensional case. We realize the new reconstruction in the framework of the second-order semi-discrete central-upwind scheme from (A. Kurganov and G. Petrova, Commun. Math. Sci., 2007). The positivity of the computed water height is ensured following (A. Bollerma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3580","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":"1412.3580","created_at":"2026-05-18T02:31:30.802225+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.3580v1","created_at":"2026-05-18T02:31:30.802225+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3580","created_at":"2026-05-18T02:31:30.802225+00:00"},{"alias_kind":"pith_short_12","alias_value":"UIQUNLQJSXWU","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"UIQUNLQJSXWUXJBT","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"UIQUNLQJ","created_at":"2026-05-18T12:28:52.271510+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/UIQUNLQJSXWUXJBT75ZOF7G6PR","json":"https://pith.science/pith/UIQUNLQJSXWUXJBT75ZOF7G6PR.json","graph_json":"https://pith.science/api/pith-number/UIQUNLQJSXWUXJBT75ZOF7G6PR/graph.json","events_json":"https://pith.science/api/pith-number/UIQUNLQJSXWUXJBT75ZOF7G6PR/events.json","paper":"https://pith.science/paper/UIQUNLQJ"},"agent_actions":{"view_html":"https://pith.science/pith/UIQUNLQJSXWUXJBT75ZOF7G6PR","download_json":"https://pith.science/pith/UIQUNLQJSXWUXJBT75ZOF7G6PR.json","view_paper":"https://pith.science/paper/UIQUNLQJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.3580&json=true","fetch_graph":"https://pith.science/api/pith-number/UIQUNLQJSXWUXJBT75ZOF7G6PR/graph.json","fetch_events":"https://pith.science/api/pith-number/UIQUNLQJSXWUXJBT75ZOF7G6PR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UIQUNLQJSXWUXJBT75ZOF7G6PR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UIQUNLQJSXWUXJBT75ZOF7G6PR/action/storage_attestation","attest_author":"https://pith.science/pith/UIQUNLQJSXWUXJBT75ZOF7G6PR/action/author_attestation","sign_citation":"https://pith.science/pith/UIQUNLQJSXWUXJBT75ZOF7G6PR/action/citation_signature","submit_replication":"https://pith.science/pith/UIQUNLQJSXWUXJBT75ZOF7G6PR/action/replication_record"}},"created_at":"2026-05-18T02:31:30.802225+00:00","updated_at":"2026-05-18T02:31:30.802225+00:00"}