{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:HMCYFFOH3YLQVMPJ5L6R7XAZ3I","short_pith_number":"pith:HMCYFFOH","schema_version":"1.0","canonical_sha256":"3b058295c7de170ab1e9eafd1fdc19da1a272ecfc12972b38759e64679cb7020","source":{"kind":"arxiv","id":"1406.2435","version":1},"attestation_state":"computed","paper":{"title":"Observations from measurable sets and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.OC","authors_text":"C. Zhang, L. Escauriaza, S. Montaner","submitted_at":"2014-06-10T06:41:50Z","abstract_excerpt":"We find new quantitative estimates on the space-time analyticity of solutions to linear parabolic equations with time-independent coefficients and apply them to obtain observability inequalities for its solutions over measurable sets."},"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":"1406.2435","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-10T06:41:50Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"80608b9963b6f7323250db18e2dcf235e317cbb277b24c52d2c9e50e7be3981d","abstract_canon_sha256":"502dd0bf2b02eb89f51ea9db97fa2f734e9097c81fb25590b10051af34b5501d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:01.684406Z","signature_b64":"G7dLv6Edb6nUVsH1qAJ05jypMayMVz2LEzHtyTRGz6uG2kHFUFiv0wZ+g6o7XKeq0Yn+hYX6YyO4KjoPnuHCBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b058295c7de170ab1e9eafd1fdc19da1a272ecfc12972b38759e64679cb7020","last_reissued_at":"2026-05-18T02:50:01.683912Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:01.683912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Observations from measurable sets and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.OC","authors_text":"C. Zhang, L. Escauriaza, S. Montaner","submitted_at":"2014-06-10T06:41:50Z","abstract_excerpt":"We find new quantitative estimates on the space-time analyticity of solutions to linear parabolic equations with time-independent coefficients and apply them to obtain observability inequalities for its solutions over measurable sets."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2435","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":"1406.2435","created_at":"2026-05-18T02:50:01.683978+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.2435v1","created_at":"2026-05-18T02:50:01.683978+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2435","created_at":"2026-05-18T02:50:01.683978+00:00"},{"alias_kind":"pith_short_12","alias_value":"HMCYFFOH3YLQ","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HMCYFFOH3YLQVMPJ","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HMCYFFOH","created_at":"2026-05-18T12:28:30.664211+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/HMCYFFOH3YLQVMPJ5L6R7XAZ3I","json":"https://pith.science/pith/HMCYFFOH3YLQVMPJ5L6R7XAZ3I.json","graph_json":"https://pith.science/api/pith-number/HMCYFFOH3YLQVMPJ5L6R7XAZ3I/graph.json","events_json":"https://pith.science/api/pith-number/HMCYFFOH3YLQVMPJ5L6R7XAZ3I/events.json","paper":"https://pith.science/paper/HMCYFFOH"},"agent_actions":{"view_html":"https://pith.science/pith/HMCYFFOH3YLQVMPJ5L6R7XAZ3I","download_json":"https://pith.science/pith/HMCYFFOH3YLQVMPJ5L6R7XAZ3I.json","view_paper":"https://pith.science/paper/HMCYFFOH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.2435&json=true","fetch_graph":"https://pith.science/api/pith-number/HMCYFFOH3YLQVMPJ5L6R7XAZ3I/graph.json","fetch_events":"https://pith.science/api/pith-number/HMCYFFOH3YLQVMPJ5L6R7XAZ3I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HMCYFFOH3YLQVMPJ5L6R7XAZ3I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HMCYFFOH3YLQVMPJ5L6R7XAZ3I/action/storage_attestation","attest_author":"https://pith.science/pith/HMCYFFOH3YLQVMPJ5L6R7XAZ3I/action/author_attestation","sign_citation":"https://pith.science/pith/HMCYFFOH3YLQVMPJ5L6R7XAZ3I/action/citation_signature","submit_replication":"https://pith.science/pith/HMCYFFOH3YLQVMPJ5L6R7XAZ3I/action/replication_record"}},"created_at":"2026-05-18T02:50:01.683978+00:00","updated_at":"2026-05-18T02:50:01.683978+00:00"}