{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PF6WRRDPW56MEZX26NLHNSCPRQ","short_pith_number":"pith:PF6WRRDP","schema_version":"1.0","canonical_sha256":"797d68c46fb77cc266faf35676c84f8c19293aacba01a0abfa1fa10cd244576e","source":{"kind":"arxiv","id":"1211.3825","version":4},"attestation_state":"computed","paper":{"title":"Generation of two-dimensional water waves by moving bottom disturbances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP","math.NA","math.OC","physics.ao-ph","physics.comp-ph","physics.flu-dyn","physics.geo-ph"],"primary_cat":"physics.class-ph","authors_text":"Denys Dutykh (LAMA), Enrique Zuazua (BCAM), Hayk Nersisyan (BCAM)","submitted_at":"2012-11-16T08:33:04Z","abstract_excerpt":"We investigate the potential and limitations of the wave generation by disturbances moving at the bottom. More precisely, we assume that the wavemaker is composed of an underwater object of a given shape which can be displaced according to a prescribed trajectory. We address the practical question of computing the wavemaker shape and trajectory generating a wave with prescribed characteristics. For the sake of simplicity we model the hydrodynamics by a generalized forced Benjamin-Bona-Mahony (BBM) equation. This practical problem is reformulated as a constrained nonlinear optimization problem."},"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":"1211.3825","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-11-16T08:33:04Z","cross_cats_sorted":["cs.NA","math.AP","math.NA","math.OC","physics.ao-ph","physics.comp-ph","physics.flu-dyn","physics.geo-ph"],"title_canon_sha256":"5f2addbc100798514cdfdbc3052b3cde0f4f33a49e7a50781fb6ee6115882d77","abstract_canon_sha256":"9b1afedd6bec1e67ceb8d7a863db8c7388f37394bcd8b337268679a0c9cf476b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T23:07:34.425058Z","signature_b64":"x/kT83v8+Ounmo0tLJVdqN3VaodoRZfhaFsvL/JLDyZ2nk0LTgYgto8AmnoTUyJGiLvuAHAncX0uYUTKVSNAAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"797d68c46fb77cc266faf35676c84f8c19293aacba01a0abfa1fa10cd244576e","last_reissued_at":"2026-06-03T23:07:34.424525Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T23:07:34.424525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generation of two-dimensional water waves by moving bottom disturbances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP","math.NA","math.OC","physics.ao-ph","physics.comp-ph","physics.flu-dyn","physics.geo-ph"],"primary_cat":"physics.class-ph","authors_text":"Denys Dutykh (LAMA), Enrique Zuazua (BCAM), Hayk Nersisyan (BCAM)","submitted_at":"2012-11-16T08:33:04Z","abstract_excerpt":"We investigate the potential and limitations of the wave generation by disturbances moving at the bottom. More precisely, we assume that the wavemaker is composed of an underwater object of a given shape which can be displaced according to a prescribed trajectory. We address the practical question of computing the wavemaker shape and trajectory generating a wave with prescribed characteristics. For the sake of simplicity we model the hydrodynamics by a generalized forced Benjamin-Bona-Mahony (BBM) equation. This practical problem is reformulated as a constrained nonlinear optimization problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3825","kind":"arxiv","version":4},"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/1211.3825/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":"1211.3825","created_at":"2026-06-03T23:07:34.424587+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.3825v4","created_at":"2026-06-03T23:07:34.424587+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3825","created_at":"2026-06-03T23:07:34.424587+00:00"},{"alias_kind":"pith_short_12","alias_value":"PF6WRRDPW56M","created_at":"2026-06-03T23:07:34.424587+00:00"},{"alias_kind":"pith_short_16","alias_value":"PF6WRRDPW56MEZX2","created_at":"2026-06-03T23:07:34.424587+00:00"},{"alias_kind":"pith_short_8","alias_value":"PF6WRRDP","created_at":"2026-06-03T23:07:34.424587+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/PF6WRRDPW56MEZX26NLHNSCPRQ","json":"https://pith.science/pith/PF6WRRDPW56MEZX26NLHNSCPRQ.json","graph_json":"https://pith.science/api/pith-number/PF6WRRDPW56MEZX26NLHNSCPRQ/graph.json","events_json":"https://pith.science/api/pith-number/PF6WRRDPW56MEZX26NLHNSCPRQ/events.json","paper":"https://pith.science/paper/PF6WRRDP"},"agent_actions":{"view_html":"https://pith.science/pith/PF6WRRDPW56MEZX26NLHNSCPRQ","download_json":"https://pith.science/pith/PF6WRRDPW56MEZX26NLHNSCPRQ.json","view_paper":"https://pith.science/paper/PF6WRRDP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.3825&json=true","fetch_graph":"https://pith.science/api/pith-number/PF6WRRDPW56MEZX26NLHNSCPRQ/graph.json","fetch_events":"https://pith.science/api/pith-number/PF6WRRDPW56MEZX26NLHNSCPRQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PF6WRRDPW56MEZX26NLHNSCPRQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PF6WRRDPW56MEZX26NLHNSCPRQ/action/storage_attestation","attest_author":"https://pith.science/pith/PF6WRRDPW56MEZX26NLHNSCPRQ/action/author_attestation","sign_citation":"https://pith.science/pith/PF6WRRDPW56MEZX26NLHNSCPRQ/action/citation_signature","submit_replication":"https://pith.science/pith/PF6WRRDPW56MEZX26NLHNSCPRQ/action/replication_record"}},"created_at":"2026-06-03T23:07:34.424587+00:00","updated_at":"2026-06-03T23:07:34.424587+00:00"}