{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HJ4DTK3SWHGIHTDY36DDLI7HSZ","short_pith_number":"pith:HJ4DTK3S","schema_version":"1.0","canonical_sha256":"3a7839ab72b1cc83cc78df8635a3e7966d5e127d190c590cc537f4a883be6202","source":{"kind":"arxiv","id":"1610.03398","version":1},"attestation_state":"computed","paper":{"title":"Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"A. Lorenzi, L. Lorenzi, M. Yamamoto","submitted_at":"2016-10-11T15:46:24Z","abstract_excerpt":"Via Carleman estimates we prove uniqueness and continuous dependence results for lateral Cauchy problems for linear integro-differential parabolic equations without initial conditions. The additional information supplied prescribes the conormal derivative of the temperature on a relatively open subset of the lateral boundary of the space-time domain."},"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":"1610.03398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-11T15:46:24Z","cross_cats_sorted":[],"title_canon_sha256":"be0ba9915d9ff7c08af07a73800b0fe4e9f3724a07ee5ade88649ce20a6ffbe9","abstract_canon_sha256":"d235a386c75c4a307cac7c918a9a16419d5b1742ecff2cbe463765b214c3b236"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:31.586333Z","signature_b64":"vH+5LFsyGl6BqcReJVwAP5bn8HLlkV6QCW9ObBpYihXJmr348m7afqgyH1YMUWxRvtdBeYqwb0EUzAqQmgazAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a7839ab72b1cc83cc78df8635a3e7966d5e127d190c590cc537f4a883be6202","last_reissued_at":"2026-05-18T01:02:31.585683Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:31.585683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"A. Lorenzi, L. Lorenzi, M. Yamamoto","submitted_at":"2016-10-11T15:46:24Z","abstract_excerpt":"Via Carleman estimates we prove uniqueness and continuous dependence results for lateral Cauchy problems for linear integro-differential parabolic equations without initial conditions. The additional information supplied prescribes the conormal derivative of the temperature on a relatively open subset of the lateral boundary of the space-time domain."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03398","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":"1610.03398","created_at":"2026-05-18T01:02:31.585773+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.03398v1","created_at":"2026-05-18T01:02:31.585773+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03398","created_at":"2026-05-18T01:02:31.585773+00:00"},{"alias_kind":"pith_short_12","alias_value":"HJ4DTK3SWHGI","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"HJ4DTK3SWHGIHTDY","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"HJ4DTK3S","created_at":"2026-05-18T12:30:19.053100+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/HJ4DTK3SWHGIHTDY36DDLI7HSZ","json":"https://pith.science/pith/HJ4DTK3SWHGIHTDY36DDLI7HSZ.json","graph_json":"https://pith.science/api/pith-number/HJ4DTK3SWHGIHTDY36DDLI7HSZ/graph.json","events_json":"https://pith.science/api/pith-number/HJ4DTK3SWHGIHTDY36DDLI7HSZ/events.json","paper":"https://pith.science/paper/HJ4DTK3S"},"agent_actions":{"view_html":"https://pith.science/pith/HJ4DTK3SWHGIHTDY36DDLI7HSZ","download_json":"https://pith.science/pith/HJ4DTK3SWHGIHTDY36DDLI7HSZ.json","view_paper":"https://pith.science/paper/HJ4DTK3S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.03398&json=true","fetch_graph":"https://pith.science/api/pith-number/HJ4DTK3SWHGIHTDY36DDLI7HSZ/graph.json","fetch_events":"https://pith.science/api/pith-number/HJ4DTK3SWHGIHTDY36DDLI7HSZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HJ4DTK3SWHGIHTDY36DDLI7HSZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HJ4DTK3SWHGIHTDY36DDLI7HSZ/action/storage_attestation","attest_author":"https://pith.science/pith/HJ4DTK3SWHGIHTDY36DDLI7HSZ/action/author_attestation","sign_citation":"https://pith.science/pith/HJ4DTK3SWHGIHTDY36DDLI7HSZ/action/citation_signature","submit_replication":"https://pith.science/pith/HJ4DTK3SWHGIHTDY36DDLI7HSZ/action/replication_record"}},"created_at":"2026-05-18T01:02:31.585773+00:00","updated_at":"2026-05-18T01:02:31.585773+00:00"}