{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:LU33VUEH2UYIRDWHNYVYPHKVV5","short_pith_number":"pith:LU33VUEH","schema_version":"1.0","canonical_sha256":"5d37bad087d530888ec76e2b879d55af482d42c26f052b749e69059438bfedf6","source":{"kind":"arxiv","id":"1810.03998","version":2},"attestation_state":"computed","paper":{"title":"The floating-body problem: an integro-differential equation without irregular frequencies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Nikolay Kuznetsov","submitted_at":"2018-10-09T14:02:26Z","abstract_excerpt":"The linear boundary value problem under consideration describes time-harmonic motion of water in a horizontal three-dimensional layer of constant depth in the presence of an obstacle adjacent to the upper side of the layer (floating body). This problem for a complex-valued harmonic function involves mixed boundary conditions and a radiation condition at infinity. Under rather general geometric assumptions the existence of a unique solution is proved for all values of the nonnegative problem's parameter related to the frequency of oscillations. The proof is based on the representation of soluti"},"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":"1810.03998","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-10-09T14:02:26Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"afcc9c9fe1cbdcbb30ab1ef78330dd9634121c1ec26840cf614230823de5aa18","abstract_canon_sha256":"da3b0b76bf3b6c08594851a263e9f6d41951380fa96fd7e387110a4d084ae5a9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:22.217568Z","signature_b64":"Om0nbCAUlkTSQGrMwmj6vVxqG8q2icm1hJVR2tVdU94Xb+Db01a0mb6qCm/dvT81Wtb4x+/E7c6CsG6BcgvABA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d37bad087d530888ec76e2b879d55af482d42c26f052b749e69059438bfedf6","last_reissued_at":"2026-05-17T23:59:22.217214Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:22.217214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The floating-body problem: an integro-differential equation without irregular frequencies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Nikolay Kuznetsov","submitted_at":"2018-10-09T14:02:26Z","abstract_excerpt":"The linear boundary value problem under consideration describes time-harmonic motion of water in a horizontal three-dimensional layer of constant depth in the presence of an obstacle adjacent to the upper side of the layer (floating body). This problem for a complex-valued harmonic function involves mixed boundary conditions and a radiation condition at infinity. Under rather general geometric assumptions the existence of a unique solution is proved for all values of the nonnegative problem's parameter related to the frequency of oscillations. The proof is based on the representation of soluti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03998","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":"1810.03998","created_at":"2026-05-17T23:59:22.217275+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.03998v2","created_at":"2026-05-17T23:59:22.217275+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.03998","created_at":"2026-05-17T23:59:22.217275+00:00"},{"alias_kind":"pith_short_12","alias_value":"LU33VUEH2UYI","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_16","alias_value":"LU33VUEH2UYIRDWH","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_8","alias_value":"LU33VUEH","created_at":"2026-05-18T12:32:37.024351+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/LU33VUEH2UYIRDWHNYVYPHKVV5","json":"https://pith.science/pith/LU33VUEH2UYIRDWHNYVYPHKVV5.json","graph_json":"https://pith.science/api/pith-number/LU33VUEH2UYIRDWHNYVYPHKVV5/graph.json","events_json":"https://pith.science/api/pith-number/LU33VUEH2UYIRDWHNYVYPHKVV5/events.json","paper":"https://pith.science/paper/LU33VUEH"},"agent_actions":{"view_html":"https://pith.science/pith/LU33VUEH2UYIRDWHNYVYPHKVV5","download_json":"https://pith.science/pith/LU33VUEH2UYIRDWHNYVYPHKVV5.json","view_paper":"https://pith.science/paper/LU33VUEH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.03998&json=true","fetch_graph":"https://pith.science/api/pith-number/LU33VUEH2UYIRDWHNYVYPHKVV5/graph.json","fetch_events":"https://pith.science/api/pith-number/LU33VUEH2UYIRDWHNYVYPHKVV5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LU33VUEH2UYIRDWHNYVYPHKVV5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LU33VUEH2UYIRDWHNYVYPHKVV5/action/storage_attestation","attest_author":"https://pith.science/pith/LU33VUEH2UYIRDWHNYVYPHKVV5/action/author_attestation","sign_citation":"https://pith.science/pith/LU33VUEH2UYIRDWHNYVYPHKVV5/action/citation_signature","submit_replication":"https://pith.science/pith/LU33VUEH2UYIRDWHNYVYPHKVV5/action/replication_record"}},"created_at":"2026-05-17T23:59:22.217275+00:00","updated_at":"2026-05-17T23:59:22.217275+00:00"}