{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:FO4SDR6CIFBUMZ764PCJMF2F7D","short_pith_number":"pith:FO4SDR6C","schema_version":"1.0","canonical_sha256":"2bb921c7c241434667fee3c4961745f8f8079209905da806c092832c482fdba2","source":{"kind":"arxiv","id":"1103.4159","version":2},"attestation_state":"computed","paper":{"title":"Well-posednesss of strongly dispersive two-dimensional surface waves Boussinesq systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Didier Pilod, Felipe Linares, Jean-Claude Saut","submitted_at":"2011-03-21T21:26:37Z","abstract_excerpt":"We consider in this paper the well-posedness for the Cauchy problem associated to two-dimensional dispersive systems of Boussinesq type which model weakly nonlinear long wave surface waves. We emphasize the case of the {\\it strongly dispersive} ones with focus on the \"KdV-KdV\" system which possesses the strongest dispersive properties and which is a vector two-dimensional extension of the classical KdV equation."},"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":"1103.4159","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-21T21:26:37Z","cross_cats_sorted":[],"title_canon_sha256":"ec8574ef3047cd2b3907fa1e0834db0d9d1c2661bb2ebde09c43018b47bd2eeb","abstract_canon_sha256":"355a66b2c61c994ad8c97ced21cf976b2c4cbfee2c1f4145e6aac45ffd417a45"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:43.525114Z","signature_b64":"1mGo9lQzVzrGC1f7Z/hu+3KgpLYXXwnpN5o/RPoCJ/ah6VXyetXHuNpMSr+tfPpqZ3kZtjCdXhpMiCbT3M5NAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2bb921c7c241434667fee3c4961745f8f8079209905da806c092832c482fdba2","last_reissued_at":"2026-05-18T04:24:43.524652Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:43.524652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Well-posednesss of strongly dispersive two-dimensional surface waves Boussinesq systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Didier Pilod, Felipe Linares, Jean-Claude Saut","submitted_at":"2011-03-21T21:26:37Z","abstract_excerpt":"We consider in this paper the well-posedness for the Cauchy problem associated to two-dimensional dispersive systems of Boussinesq type which model weakly nonlinear long wave surface waves. We emphasize the case of the {\\it strongly dispersive} ones with focus on the \"KdV-KdV\" system which possesses the strongest dispersive properties and which is a vector two-dimensional extension of the classical KdV equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4159","kind":"arxiv","version":2},"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":"1103.4159","created_at":"2026-05-18T04:24:43.524721+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.4159v2","created_at":"2026-05-18T04:24:43.524721+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4159","created_at":"2026-05-18T04:24:43.524721+00:00"},{"alias_kind":"pith_short_12","alias_value":"FO4SDR6CIFBU","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"FO4SDR6CIFBUMZ76","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"FO4SDR6C","created_at":"2026-05-18T12:26:28.662955+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/FO4SDR6CIFBUMZ764PCJMF2F7D","json":"https://pith.science/pith/FO4SDR6CIFBUMZ764PCJMF2F7D.json","graph_json":"https://pith.science/api/pith-number/FO4SDR6CIFBUMZ764PCJMF2F7D/graph.json","events_json":"https://pith.science/api/pith-number/FO4SDR6CIFBUMZ764PCJMF2F7D/events.json","paper":"https://pith.science/paper/FO4SDR6C"},"agent_actions":{"view_html":"https://pith.science/pith/FO4SDR6CIFBUMZ764PCJMF2F7D","download_json":"https://pith.science/pith/FO4SDR6CIFBUMZ764PCJMF2F7D.json","view_paper":"https://pith.science/paper/FO4SDR6C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.4159&json=true","fetch_graph":"https://pith.science/api/pith-number/FO4SDR6CIFBUMZ764PCJMF2F7D/graph.json","fetch_events":"https://pith.science/api/pith-number/FO4SDR6CIFBUMZ764PCJMF2F7D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FO4SDR6CIFBUMZ764PCJMF2F7D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FO4SDR6CIFBUMZ764PCJMF2F7D/action/storage_attestation","attest_author":"https://pith.science/pith/FO4SDR6CIFBUMZ764PCJMF2F7D/action/author_attestation","sign_citation":"https://pith.science/pith/FO4SDR6CIFBUMZ764PCJMF2F7D/action/citation_signature","submit_replication":"https://pith.science/pith/FO4SDR6CIFBUMZ764PCJMF2F7D/action/replication_record"}},"created_at":"2026-05-18T04:24:43.524721+00:00","updated_at":"2026-05-18T04:24:43.524721+00:00"}