{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:EWJMTJRB5OL7J3FNSOSYPBC4AA","short_pith_number":"pith:EWJMTJRB","schema_version":"1.0","canonical_sha256":"2592c9a621eb97f4ecad93a587845c00011757244e96c7288b95c2e0c707e8f7","source":{"kind":"arxiv","id":"1006.0458","version":2},"attestation_state":"computed","paper":{"title":"The Kadomtsev-Petviashvili II Equation on the Half-Plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"A. S. Fokas, D. Mantzavinos","submitted_at":"2010-06-02T18:01:41Z","abstract_excerpt":"The KPII equation is an integrable nonlinear PDE in 2+1 dimensions (two spatial and one temporal), which arises in several physical circumstances, including fluid mechanics where it describes waves in shallow water. It provides a multidimensional generalisation of the renowned KdV equation. In this work, we employ a novel approach recently introduced by one of the authors in connection with the Davey-Stewartson equation \\cite{FDS2009}, in order to analyse the initial-boundary value problem for the KPII equation formulated on the half-plane. The analysis makes crucial use of the so-called d-bar"},"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":"1006.0458","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-06-02T18:01:41Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f287fc17ed50df5dd7d030f1ed4574cbe234d458fb6d5dbcd2fcdcca6856d3fb","abstract_canon_sha256":"3203812e52d971ff8024e3b57f4fc0ea941f26bbb5b1bacf09eb015d702d4a81"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:07:05.483442Z","signature_b64":"dxcnAoZB2kLNopCfxjfBfoMV3UCYBAFXrq5dE3KjBwASj1DYgPc082sFR52aPPa8Om4irCFQPu1KOQ55Em+vAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2592c9a621eb97f4ecad93a587845c00011757244e96c7288b95c2e0c707e8f7","last_reissued_at":"2026-05-18T02:07:05.482787Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:07:05.482787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Kadomtsev-Petviashvili II Equation on the Half-Plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"A. S. Fokas, D. Mantzavinos","submitted_at":"2010-06-02T18:01:41Z","abstract_excerpt":"The KPII equation is an integrable nonlinear PDE in 2+1 dimensions (two spatial and one temporal), which arises in several physical circumstances, including fluid mechanics where it describes waves in shallow water. It provides a multidimensional generalisation of the renowned KdV equation. In this work, we employ a novel approach recently introduced by one of the authors in connection with the Davey-Stewartson equation \\cite{FDS2009}, in order to analyse the initial-boundary value problem for the KPII equation formulated on the half-plane. The analysis makes crucial use of the so-called d-bar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0458","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":"1006.0458","created_at":"2026-05-18T02:07:05.482905+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.0458v2","created_at":"2026-05-18T02:07:05.482905+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0458","created_at":"2026-05-18T02:07:05.482905+00:00"},{"alias_kind":"pith_short_12","alias_value":"EWJMTJRB5OL7","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"EWJMTJRB5OL7J3FN","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"EWJMTJRB","created_at":"2026-05-18T12:26:06.534383+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/EWJMTJRB5OL7J3FNSOSYPBC4AA","json":"https://pith.science/pith/EWJMTJRB5OL7J3FNSOSYPBC4AA.json","graph_json":"https://pith.science/api/pith-number/EWJMTJRB5OL7J3FNSOSYPBC4AA/graph.json","events_json":"https://pith.science/api/pith-number/EWJMTJRB5OL7J3FNSOSYPBC4AA/events.json","paper":"https://pith.science/paper/EWJMTJRB"},"agent_actions":{"view_html":"https://pith.science/pith/EWJMTJRB5OL7J3FNSOSYPBC4AA","download_json":"https://pith.science/pith/EWJMTJRB5OL7J3FNSOSYPBC4AA.json","view_paper":"https://pith.science/paper/EWJMTJRB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.0458&json=true","fetch_graph":"https://pith.science/api/pith-number/EWJMTJRB5OL7J3FNSOSYPBC4AA/graph.json","fetch_events":"https://pith.science/api/pith-number/EWJMTJRB5OL7J3FNSOSYPBC4AA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EWJMTJRB5OL7J3FNSOSYPBC4AA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EWJMTJRB5OL7J3FNSOSYPBC4AA/action/storage_attestation","attest_author":"https://pith.science/pith/EWJMTJRB5OL7J3FNSOSYPBC4AA/action/author_attestation","sign_citation":"https://pith.science/pith/EWJMTJRB5OL7J3FNSOSYPBC4AA/action/citation_signature","submit_replication":"https://pith.science/pith/EWJMTJRB5OL7J3FNSOSYPBC4AA/action/replication_record"}},"created_at":"2026-05-18T02:07:05.482905+00:00","updated_at":"2026-05-18T02:07:05.482905+00:00"}