{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7XCAPFRYE272EU4S6Y73GZHRQS","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":"acd93995a66d775997a8d31f75aab221c4d46d49604527a9ce2afea954d25144","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-25T01:57:00Z","title_canon_sha256":"c0ba219eb95f2d4042446fb9f218bd32772e10dc3fcb6ceb78defc72b9f7f2eb"},"schema_version":"1.0","source":{"id":"1604.07107","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07107","created_at":"2026-05-18T01:16:23Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07107v1","created_at":"2026-05-18T01:16:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07107","created_at":"2026-05-18T01:16:23Z"},{"alias_kind":"pith_short_12","alias_value":"7XCAPFRYE272","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7XCAPFRYE272EU4S","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7XCAPFRY","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:9f539591ea08049bc8b15fe5336bbc44ca2e99bf15d33bea075946db3d394f12","target":"graph","created_at":"2026-05-18T01:16:23Z","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":"Two boundary value problems for the Helmholtz equation in a semi-infinite strip are considered. The main feature of these problems is that, in addition to the function and its normal derivative on the boundary, the functionals of the boundary conditions possess tangential derivatives of the second and fourth orders. Also, the setting of the problems is complimented by certain edge conditions at the two vertices of the semi-strip. The problems model wave propagation in a semi-infinite waveguide with membrane and plate walls. A technique for the exact solution of these fluid-structure interactio","authors_text":"Y.A. Antipov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-25T01:57:00Z","title":"Helmholtz equation in a semi-infinite strip with impedance boundary conditions of the third and fifth orders"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07107","kind":"arxiv","version":1},"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":"sha256:18c878260ab2d828e1aa68bcb2cdfac5a98d336b14457968f996c1311f1c6a57","target":"record","created_at":"2026-05-18T01:16:23Z","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":"acd93995a66d775997a8d31f75aab221c4d46d49604527a9ce2afea954d25144","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-25T01:57:00Z","title_canon_sha256":"c0ba219eb95f2d4042446fb9f218bd32772e10dc3fcb6ceb78defc72b9f7f2eb"},"schema_version":"1.0","source":{"id":"1604.07107","kind":"arxiv","version":1}},"canonical_sha256":"fdc407963826bfa25392f63fb364f184a80fb2a24160ef69b3e15d174ee16769","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdc407963826bfa25392f63fb364f184a80fb2a24160ef69b3e15d174ee16769","first_computed_at":"2026-05-18T01:16:23.023444Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:23.023444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+0XKiInbxxqLQYtnBzyg6sNbp0OAqyJbfLrpPP427ZzND+6vpuLFvKsfqX2blTVUbBUKF0WgMlo6Rv+JDg/JAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:23.024054Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07107","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18c878260ab2d828e1aa68bcb2cdfac5a98d336b14457968f996c1311f1c6a57","sha256:9f539591ea08049bc8b15fe5336bbc44ca2e99bf15d33bea075946db3d394f12"],"state_sha256":"9dc19823e95a6af2f27b2104ff180983652455588235a5e52a0a23d27acd495d"}