{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:IHKHZOEKGYUZ35AN7L2DPRFUFT","short_pith_number":"pith:IHKHZOEK","schema_version":"1.0","canonical_sha256":"41d47cb88a36299df40dfaf437c4b42ce74b09098fa305b8327d5730809df207","source":{"kind":"arxiv","id":"1809.09966","version":1},"attestation_state":"computed","paper":{"title":"Linear Whitham-Boussinesq modes in channels of constant cross-section","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"physics.flu-dyn","authors_text":"A.A. Minzoni, P. Panayotaros, R. M. Vargas-Maga\\~na","submitted_at":"2018-09-18T18:13:22Z","abstract_excerpt":"We study normal modes for the linear water wave problem in infinite straight channels of bounded constant cross-section. Our goal is to compare semianalytic normal mode solutions known in the literature for special triangular cross-sections, namely isosceles triangles of equal angle of 45 and 60 degrees, see Lamb [17], Macdonald [19] , Greenhill [11], Packham [23], and Groves [12], to numerical solutions obtained using approximations of the non-local Dirichlet-Neumann operator for linear waves, specifically an ad-hoc approximation proposed in [25], and a first order truncation of the systemati"},"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":"1809.09966","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-09-18T18:13:22Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"22c6f864f8181aba94fd341982032e19ae81a881337e0c577ebfb7c742847712","abstract_canon_sha256":"3ebcb09053ed1f96249e0e80c33e225b2b121a923215ac354fd13489bb0b6f11"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:43.109289Z","signature_b64":"vL4ZS3Wa4Dm1Y2tS+d5UZtk3/Oea5NcgK3X+bcmbx8V5At9PAt9ZzB3wGbp29yf5gQb8nlcGVdXVQAA7NfJxCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41d47cb88a36299df40dfaf437c4b42ce74b09098fa305b8327d5730809df207","last_reissued_at":"2026-05-18T00:04:43.108730Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:43.108730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear Whitham-Boussinesq modes in channels of constant cross-section","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"physics.flu-dyn","authors_text":"A.A. Minzoni, P. Panayotaros, R. M. Vargas-Maga\\~na","submitted_at":"2018-09-18T18:13:22Z","abstract_excerpt":"We study normal modes for the linear water wave problem in infinite straight channels of bounded constant cross-section. Our goal is to compare semianalytic normal mode solutions known in the literature for special triangular cross-sections, namely isosceles triangles of equal angle of 45 and 60 degrees, see Lamb [17], Macdonald [19] , Greenhill [11], Packham [23], and Groves [12], to numerical solutions obtained using approximations of the non-local Dirichlet-Neumann operator for linear waves, specifically an ad-hoc approximation proposed in [25], and a first order truncation of the systemati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09966","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":"1809.09966","created_at":"2026-05-18T00:04:43.108822+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.09966v1","created_at":"2026-05-18T00:04:43.108822+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.09966","created_at":"2026-05-18T00:04:43.108822+00:00"},{"alias_kind":"pith_short_12","alias_value":"IHKHZOEKGYUZ","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_16","alias_value":"IHKHZOEKGYUZ35AN","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_8","alias_value":"IHKHZOEK","created_at":"2026-05-18T12:32:28.185984+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/IHKHZOEKGYUZ35AN7L2DPRFUFT","json":"https://pith.science/pith/IHKHZOEKGYUZ35AN7L2DPRFUFT.json","graph_json":"https://pith.science/api/pith-number/IHKHZOEKGYUZ35AN7L2DPRFUFT/graph.json","events_json":"https://pith.science/api/pith-number/IHKHZOEKGYUZ35AN7L2DPRFUFT/events.json","paper":"https://pith.science/paper/IHKHZOEK"},"agent_actions":{"view_html":"https://pith.science/pith/IHKHZOEKGYUZ35AN7L2DPRFUFT","download_json":"https://pith.science/pith/IHKHZOEKGYUZ35AN7L2DPRFUFT.json","view_paper":"https://pith.science/paper/IHKHZOEK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.09966&json=true","fetch_graph":"https://pith.science/api/pith-number/IHKHZOEKGYUZ35AN7L2DPRFUFT/graph.json","fetch_events":"https://pith.science/api/pith-number/IHKHZOEKGYUZ35AN7L2DPRFUFT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IHKHZOEKGYUZ35AN7L2DPRFUFT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IHKHZOEKGYUZ35AN7L2DPRFUFT/action/storage_attestation","attest_author":"https://pith.science/pith/IHKHZOEKGYUZ35AN7L2DPRFUFT/action/author_attestation","sign_citation":"https://pith.science/pith/IHKHZOEKGYUZ35AN7L2DPRFUFT/action/citation_signature","submit_replication":"https://pith.science/pith/IHKHZOEKGYUZ35AN7L2DPRFUFT/action/replication_record"}},"created_at":"2026-05-18T00:04:43.108822+00:00","updated_at":"2026-05-18T00:04:43.108822+00:00"}