{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:R7EWRS5EJOUJLKLEVFGCTRXR5Z","short_pith_number":"pith:R7EWRS5E","schema_version":"1.0","canonical_sha256":"8fc968cba44ba895a964a94c29c6f1ee67a508f430b8d21b6417c96394dcaf6f","source":{"kind":"arxiv","id":"1508.03596","version":2},"attestation_state":"computed","paper":{"title":"The Linear KdV Equation with an Interface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bernard Deconinck, David A. Smith, Natalie E. Sheils","submitted_at":"2015-08-14T18:31:16Z","abstract_excerpt":"The interface problem for the linear Korteweg-de Vries (KdV) equation in one-dimensional piecewise homogeneous domains is examined by constructing an explicit solution in each domain. The location of the interface is known and a number of compatibility conditions at the boundary are imposed. We provide an explicit characterization of sufficient interface conditions for the construction of a solution using Fokas's Unified Transform Method. The problem and the method considered here extend that of earlier papers to problems with more than two spatial derivatives."},"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":"1508.03596","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-14T18:31:16Z","cross_cats_sorted":[],"title_canon_sha256":"6524966ce24f4edaada3a12749ffe2bb6206511036c10f224efdb195064aa20d","abstract_canon_sha256":"d7a0d2bc6b889edf6c1a09da06dbccc9fd871e3c20a210477a456795459eac95"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:30.156088Z","signature_b64":"dLg4kP51YDQH0AF5KGuXJkKcGSus/bIbXwjHW+IwAfKySO6j7uLz86158sohlDlNIuZEVOfJeahY3Ub78tqLAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8fc968cba44ba895a964a94c29c6f1ee67a508f430b8d21b6417c96394dcaf6f","last_reissued_at":"2026-05-18T01:04:30.155412Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:30.155412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Linear KdV Equation with an Interface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bernard Deconinck, David A. Smith, Natalie E. Sheils","submitted_at":"2015-08-14T18:31:16Z","abstract_excerpt":"The interface problem for the linear Korteweg-de Vries (KdV) equation in one-dimensional piecewise homogeneous domains is examined by constructing an explicit solution in each domain. The location of the interface is known and a number of compatibility conditions at the boundary are imposed. We provide an explicit characterization of sufficient interface conditions for the construction of a solution using Fokas's Unified Transform Method. The problem and the method considered here extend that of earlier papers to problems with more than two spatial derivatives."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.03596","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":"1508.03596","created_at":"2026-05-18T01:04:30.155521+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.03596v2","created_at":"2026-05-18T01:04:30.155521+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.03596","created_at":"2026-05-18T01:04:30.155521+00:00"},{"alias_kind":"pith_short_12","alias_value":"R7EWRS5EJOUJ","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"R7EWRS5EJOUJLKLE","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"R7EWRS5E","created_at":"2026-05-18T12:29:39.896362+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/R7EWRS5EJOUJLKLEVFGCTRXR5Z","json":"https://pith.science/pith/R7EWRS5EJOUJLKLEVFGCTRXR5Z.json","graph_json":"https://pith.science/api/pith-number/R7EWRS5EJOUJLKLEVFGCTRXR5Z/graph.json","events_json":"https://pith.science/api/pith-number/R7EWRS5EJOUJLKLEVFGCTRXR5Z/events.json","paper":"https://pith.science/paper/R7EWRS5E"},"agent_actions":{"view_html":"https://pith.science/pith/R7EWRS5EJOUJLKLEVFGCTRXR5Z","download_json":"https://pith.science/pith/R7EWRS5EJOUJLKLEVFGCTRXR5Z.json","view_paper":"https://pith.science/paper/R7EWRS5E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.03596&json=true","fetch_graph":"https://pith.science/api/pith-number/R7EWRS5EJOUJLKLEVFGCTRXR5Z/graph.json","fetch_events":"https://pith.science/api/pith-number/R7EWRS5EJOUJLKLEVFGCTRXR5Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R7EWRS5EJOUJLKLEVFGCTRXR5Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R7EWRS5EJOUJLKLEVFGCTRXR5Z/action/storage_attestation","attest_author":"https://pith.science/pith/R7EWRS5EJOUJLKLEVFGCTRXR5Z/action/author_attestation","sign_citation":"https://pith.science/pith/R7EWRS5EJOUJLKLEVFGCTRXR5Z/action/citation_signature","submit_replication":"https://pith.science/pith/R7EWRS5EJOUJLKLEVFGCTRXR5Z/action/replication_record"}},"created_at":"2026-05-18T01:04:30.155521+00:00","updated_at":"2026-05-18T01:04:30.155521+00:00"}