{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:BSEWWUKR4Q5BXJDH3AL2TBFKBI","short_pith_number":"pith:BSEWWUKR","schema_version":"1.0","canonical_sha256":"0c896b5151e43a1ba467d817a984aa0a102d999e19119117e551d958f87dde15","source":{"kind":"arxiv","id":"2605.29554","version":1},"attestation_state":"computed","paper":{"title":"Water-at-Rest Equilibrium Stability Analysis of a first-moment Shallow Water Exner Moment Model with Sediment Entrainment and Deposition: Extended Technical Report","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.AP","authors_text":"Afroja Parvin, Giovanni Samaey, Julian Koellermeier","submitted_at":"2026-05-28T08:08:16Z","abstract_excerpt":"We derive the first-moment Shallow Water Exner Moment model with sediment entrainment and deposition (SWEMED1) and show that the full source term has a fully-settled water-at-rest equilibrium manifold. We prove that the model is only weakly hyperbolic at this equilibrium, which prevents the use of Yong's structural stability framework. However, a linear spectral analysis and numerical results do not indicate instability. Based on numerical results, we introduce a fast-slow scaling of the source term, and for the fast limit, we derive a new suspended water-at-rest equilibrium manifold, which ha"},"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":"2605.29554","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-28T08:08:16Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"5defd7e9d2c5385dd32f6321f435e4607f6a65a1da093a1b732b0ebb647f2f30","abstract_canon_sha256":"8c5441780f72e5ac5f8e5680d4dffbf39981f86ae0abcdefcd2499919207ddb3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T01:05:46.961976Z","signature_b64":"QE2B+kChTTJxvrmNMT8KmoHUyX8qLUhzF3KmNptdV0IeqTd+8zuLb37JoIf+MWzwlScbIa/IIRLj1u2mn/70CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c896b5151e43a1ba467d817a984aa0a102d999e19119117e551d958f87dde15","last_reissued_at":"2026-05-29T01:05:46.961195Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T01:05:46.961195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Water-at-Rest Equilibrium Stability Analysis of a first-moment Shallow Water Exner Moment Model with Sediment Entrainment and Deposition: Extended Technical Report","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.AP","authors_text":"Afroja Parvin, Giovanni Samaey, Julian Koellermeier","submitted_at":"2026-05-28T08:08:16Z","abstract_excerpt":"We derive the first-moment Shallow Water Exner Moment model with sediment entrainment and deposition (SWEMED1) and show that the full source term has a fully-settled water-at-rest equilibrium manifold. We prove that the model is only weakly hyperbolic at this equilibrium, which prevents the use of Yong's structural stability framework. However, a linear spectral analysis and numerical results do not indicate instability. Based on numerical results, we introduce a fast-slow scaling of the source term, and for the fast limit, we derive a new suspended water-at-rest equilibrium manifold, which ha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29554","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/2605.29554/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":"2605.29554","created_at":"2026-05-29T01:05:46.961340+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.29554v1","created_at":"2026-05-29T01:05:46.961340+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.29554","created_at":"2026-05-29T01:05:46.961340+00:00"},{"alias_kind":"pith_short_12","alias_value":"BSEWWUKR4Q5B","created_at":"2026-05-29T01:05:46.961340+00:00"},{"alias_kind":"pith_short_16","alias_value":"BSEWWUKR4Q5BXJDH","created_at":"2026-05-29T01:05:46.961340+00:00"},{"alias_kind":"pith_short_8","alias_value":"BSEWWUKR","created_at":"2026-05-29T01:05:46.961340+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/BSEWWUKR4Q5BXJDH3AL2TBFKBI","json":"https://pith.science/pith/BSEWWUKR4Q5BXJDH3AL2TBFKBI.json","graph_json":"https://pith.science/api/pith-number/BSEWWUKR4Q5BXJDH3AL2TBFKBI/graph.json","events_json":"https://pith.science/api/pith-number/BSEWWUKR4Q5BXJDH3AL2TBFKBI/events.json","paper":"https://pith.science/paper/BSEWWUKR"},"agent_actions":{"view_html":"https://pith.science/pith/BSEWWUKR4Q5BXJDH3AL2TBFKBI","download_json":"https://pith.science/pith/BSEWWUKR4Q5BXJDH3AL2TBFKBI.json","view_paper":"https://pith.science/paper/BSEWWUKR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.29554&json=true","fetch_graph":"https://pith.science/api/pith-number/BSEWWUKR4Q5BXJDH3AL2TBFKBI/graph.json","fetch_events":"https://pith.science/api/pith-number/BSEWWUKR4Q5BXJDH3AL2TBFKBI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BSEWWUKR4Q5BXJDH3AL2TBFKBI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BSEWWUKR4Q5BXJDH3AL2TBFKBI/action/storage_attestation","attest_author":"https://pith.science/pith/BSEWWUKR4Q5BXJDH3AL2TBFKBI/action/author_attestation","sign_citation":"https://pith.science/pith/BSEWWUKR4Q5BXJDH3AL2TBFKBI/action/citation_signature","submit_replication":"https://pith.science/pith/BSEWWUKR4Q5BXJDH3AL2TBFKBI/action/replication_record"}},"created_at":"2026-05-29T01:05:46.961340+00:00","updated_at":"2026-05-29T01:05:46.961340+00:00"}