{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:DGYE2MQEBHC3JFT4NPBHCQ2DKA","short_pith_number":"pith:DGYE2MQE","schema_version":"1.0","canonical_sha256":"19b04d320409c5b4967c6bc27143435037faf56c0b233071b34dcd67d66ad29c","source":{"kind":"arxiv","id":"1603.08778","version":1},"attestation_state":"computed","paper":{"title":"Wave equation with Robin condition, quantitative estimates of strong unique continuation at the boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eva Sincich, Sergio Vessella","submitted_at":"2016-03-29T14:11:23Z","abstract_excerpt":"The main result of the present paper consists in a quantitative estimate of unique continuation at the boundary for solutions to the wave equation. Such estimate is the sharp quantitative counterpart of the following strong unique continuation property: let $u$ be a solution to the wave equation that satisfies an homogeneous Robin condition on a portion $S$ of the boundary and the restriction of $u_{\\mid S}$ on $S$ is flat on a segment $\\{0\\}\\times J$ with $0\\in S$ then $u_{\\mid S}$ vanishes in a neighborhood of $\\{0\\}\\times J$."},"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":"1603.08778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-29T14:11:23Z","cross_cats_sorted":[],"title_canon_sha256":"2f5a84ce936cb9e21bc0b51adb8b7013fbb4da0adde7e7107426bc3ea5ee822f","abstract_canon_sha256":"ce3af200330c52240fd56a93fd0ed831cc11ddf04f4ec5661783e07b84e9778b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:53.192331Z","signature_b64":"cBZetasoKFI/9T5G96p9N/U15kgJse+SAkiFs52q+mVvtMY+wxSBsAAYuDnOPMy+ltPnxfvfCzbtd8lJeUJlAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19b04d320409c5b4967c6bc27143435037faf56c0b233071b34dcd67d66ad29c","last_reissued_at":"2026-05-18T01:00:53.191595Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:53.191595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wave equation with Robin condition, quantitative estimates of strong unique continuation at the boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eva Sincich, Sergio Vessella","submitted_at":"2016-03-29T14:11:23Z","abstract_excerpt":"The main result of the present paper consists in a quantitative estimate of unique continuation at the boundary for solutions to the wave equation. Such estimate is the sharp quantitative counterpart of the following strong unique continuation property: let $u$ be a solution to the wave equation that satisfies an homogeneous Robin condition on a portion $S$ of the boundary and the restriction of $u_{\\mid S}$ on $S$ is flat on a segment $\\{0\\}\\times J$ with $0\\in S$ then $u_{\\mid S}$ vanishes in a neighborhood of $\\{0\\}\\times J$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08778","kind":"arxiv","version":1},"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":"1603.08778","created_at":"2026-05-18T01:00:53.191708+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.08778v1","created_at":"2026-05-18T01:00:53.191708+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08778","created_at":"2026-05-18T01:00:53.191708+00:00"},{"alias_kind":"pith_short_12","alias_value":"DGYE2MQEBHC3","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_16","alias_value":"DGYE2MQEBHC3JFT4","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_8","alias_value":"DGYE2MQE","created_at":"2026-05-18T12:30:12.583610+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/DGYE2MQEBHC3JFT4NPBHCQ2DKA","json":"https://pith.science/pith/DGYE2MQEBHC3JFT4NPBHCQ2DKA.json","graph_json":"https://pith.science/api/pith-number/DGYE2MQEBHC3JFT4NPBHCQ2DKA/graph.json","events_json":"https://pith.science/api/pith-number/DGYE2MQEBHC3JFT4NPBHCQ2DKA/events.json","paper":"https://pith.science/paper/DGYE2MQE"},"agent_actions":{"view_html":"https://pith.science/pith/DGYE2MQEBHC3JFT4NPBHCQ2DKA","download_json":"https://pith.science/pith/DGYE2MQEBHC3JFT4NPBHCQ2DKA.json","view_paper":"https://pith.science/paper/DGYE2MQE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.08778&json=true","fetch_graph":"https://pith.science/api/pith-number/DGYE2MQEBHC3JFT4NPBHCQ2DKA/graph.json","fetch_events":"https://pith.science/api/pith-number/DGYE2MQEBHC3JFT4NPBHCQ2DKA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DGYE2MQEBHC3JFT4NPBHCQ2DKA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DGYE2MQEBHC3JFT4NPBHCQ2DKA/action/storage_attestation","attest_author":"https://pith.science/pith/DGYE2MQEBHC3JFT4NPBHCQ2DKA/action/author_attestation","sign_citation":"https://pith.science/pith/DGYE2MQEBHC3JFT4NPBHCQ2DKA/action/citation_signature","submit_replication":"https://pith.science/pith/DGYE2MQEBHC3JFT4NPBHCQ2DKA/action/replication_record"}},"created_at":"2026-05-18T01:00:53.191708+00:00","updated_at":"2026-05-18T01:00:53.191708+00:00"}