{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FQ6MY24AAKHJH5OE5MRJCNBRQT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"32204b387309ef15356fb7a129e566f182470446d767c8cbb471c8e779333acc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-12-22T07:25:01Z","title_canon_sha256":"642c9f7b3ac3502fed7306db11a7776ff0f6fb725ed4756222153e609dbf68bc"},"schema_version":"1.0","source":{"id":"1512.06973","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.06973","created_at":"2026-05-18T01:06:40Z"},{"alias_kind":"arxiv_version","alias_value":"1512.06973v2","created_at":"2026-05-18T01:06:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06973","created_at":"2026-05-18T01:06:40Z"},{"alias_kind":"pith_short_12","alias_value":"FQ6MY24AAKHJ","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FQ6MY24AAKHJH5OE","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FQ6MY24A","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:1e75c436de735df717f15fab0d634e105fe32126871b784ba2913721cdfe05e8","target":"graph","created_at":"2026-05-18T01:06:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This paper is concerned with boundary integral equation methods for solving the two-dimensional fluid-solid interaction problem. We reduce the problem to three differential systems of boundary integral equations via direct and indirect approaches. Existence and uniqueness results for variational solutions of boundary integral equations equations are established. Since in all these boundary variational formulations, the hypersingular boundary integral operator associated with the time-harmonic Navier equation is a dominated integral operator, we also include a new regularization formulation for","authors_text":"George C. Hsiao, Liwei Xu, Tao Yin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-12-22T07:25:01Z","title":"Boundary integral equation methods for the two dimensional fluid-solid interaction problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06973","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:61c36ccfd3dfa1e0c15da1d620bf4602773d479b4918cd348a5286f79078cebd","target":"record","created_at":"2026-05-18T01:06:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"32204b387309ef15356fb7a129e566f182470446d767c8cbb471c8e779333acc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-12-22T07:25:01Z","title_canon_sha256":"642c9f7b3ac3502fed7306db11a7776ff0f6fb725ed4756222153e609dbf68bc"},"schema_version":"1.0","source":{"id":"1512.06973","kind":"arxiv","version":2}},"canonical_sha256":"2c3ccc6b80028e93f5c4eb2291343184f860bdfc9b81685b812355106c51396b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c3ccc6b80028e93f5c4eb2291343184f860bdfc9b81685b812355106c51396b","first_computed_at":"2026-05-18T01:06:40.879096Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:40.879096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wKCwtmW6FrDyMQpGktT/qc9cVQw3jI30X6waNdTk0b0wC8WhqUphd/llQS/jTiRxm6ob038dR+JtnInkI0D2DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:40.879620Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.06973","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61c36ccfd3dfa1e0c15da1d620bf4602773d479b4918cd348a5286f79078cebd","sha256:1e75c436de735df717f15fab0d634e105fe32126871b784ba2913721cdfe05e8"],"state_sha256":"441b7a1ce54bc0238bac56b622a0e4250cffba4e659977b8838bf2118ebbab92"}