{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:REJQP7CFLKB6MWOEU6GOWNC3WG","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":"88da455d9426b645f6d797fad18913cd507c34a67545c8633de2d8963a3a0854","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NA","submitted_at":"2024-11-24T10:46:25Z","title_canon_sha256":"a7cb8e357329be8083150dffc6ca1dc6390b4c9cf5187100f4f669a09b8d75a5"},"schema_version":"1.0","source":{"id":"2411.17740","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.17740","created_at":"2026-07-05T09:50:36Z"},{"alias_kind":"arxiv_version","alias_value":"2411.17740v3","created_at":"2026-07-05T09:50:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17740","created_at":"2026-07-05T09:50:36Z"},{"alias_kind":"pith_short_12","alias_value":"REJQP7CFLKB6","created_at":"2026-07-05T09:50:36Z"},{"alias_kind":"pith_short_16","alias_value":"REJQP7CFLKB6MWOE","created_at":"2026-07-05T09:50:36Z"},{"alias_kind":"pith_short_8","alias_value":"REJQP7CF","created_at":"2026-07-05T09:50:36Z"}],"graph_snapshots":[{"event_id":"sha256:59349eccb142327d8173efd7cb19c0a422e896d3ed2a4faab0be5248cc76348b","target":"graph","created_at":"2026-07-05T09:50:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.17740/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper deals with a time-split explicit/implicit approach for solving a two-dimensional hydrodynamic flow model with appropriate initial and boundary conditions. The time-split technique is employed to upwind the convection term and to treat the friction slope so that the numerical oscillations and stability are well controlled. A suitable time step restriction for stability and convergence accurate of the new algorithm is established using the $L^{\\infty}(0,T; L^{2})$-norm. Under a time step requirement, some numerical examples confirm the theoretical studies and suggest that the proposed","authors_text":"Eric Ngondiep","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NA","submitted_at":"2024-11-24T10:46:25Z","title":"A robust time-split linearized explicit/implicit technique for two-dimensional hydrodynamic model: an application to floods in Cameroon far north region"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17740","kind":"arxiv","version":3},"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":"sha256:505dc43043181326dd9eef763037602b55e10968327db621dbffac47dc41f74b","target":"record","created_at":"2026-07-05T09:50:36Z","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":"88da455d9426b645f6d797fad18913cd507c34a67545c8633de2d8963a3a0854","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NA","submitted_at":"2024-11-24T10:46:25Z","title_canon_sha256":"a7cb8e357329be8083150dffc6ca1dc6390b4c9cf5187100f4f669a09b8d75a5"},"schema_version":"1.0","source":{"id":"2411.17740","kind":"arxiv","version":3}},"canonical_sha256":"891307fc455a83e659c4a78ceb345bb1a7eab4bed9404ba709830e4fb6aab771","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"891307fc455a83e659c4a78ceb345bb1a7eab4bed9404ba709830e4fb6aab771","first_computed_at":"2026-07-05T09:50:36.869622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:50:36.869622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XewKN5KlOxGhZtsRCu1UPMt75PIU1Nlqz3yRdSPHu+S5xxUyrcluBpZNuiDL1skva/kwaN9nuyqrIgB2LuhtDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:50:36.870034Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.17740","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:505dc43043181326dd9eef763037602b55e10968327db621dbffac47dc41f74b","sha256:59349eccb142327d8173efd7cb19c0a422e896d3ed2a4faab0be5248cc76348b"],"state_sha256":"4c015e24321c4ff04c4015c705fd22f34446d6378b67ca224ee980402ed67c86"}