{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HMCYFFOH3YLQVMPJ5L6R7XAZ3I","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":"502dd0bf2b02eb89f51ea9db97fa2f734e9097c81fb25590b10051af34b5501d","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-10T06:41:50Z","title_canon_sha256":"80608b9963b6f7323250db18e2dcf235e317cbb277b24c52d2c9e50e7be3981d"},"schema_version":"1.0","source":{"id":"1406.2435","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2435","created_at":"2026-05-18T02:50:01Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2435v1","created_at":"2026-05-18T02:50:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2435","created_at":"2026-05-18T02:50:01Z"},{"alias_kind":"pith_short_12","alias_value":"HMCYFFOH3YLQ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HMCYFFOH3YLQVMPJ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HMCYFFOH","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:70a406afc7073aaa935cc0849083f88194d4a4bf39c319f3155e2d1d90734de8","target":"graph","created_at":"2026-05-18T02:50:01Z","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":"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.","authors_text":"C. Zhang, L. Escauriaza, S. Montaner","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-10T06:41:50Z","title":"Observations from measurable sets and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2435","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":"sha256:4fa203f8f297c0daa080533cba03bf4e8a6eb2802fb558394a14202d37ef451e","target":"record","created_at":"2026-05-18T02:50:01Z","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":"502dd0bf2b02eb89f51ea9db97fa2f734e9097c81fb25590b10051af34b5501d","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-10T06:41:50Z","title_canon_sha256":"80608b9963b6f7323250db18e2dcf235e317cbb277b24c52d2c9e50e7be3981d"},"schema_version":"1.0","source":{"id":"1406.2435","kind":"arxiv","version":1}},"canonical_sha256":"3b058295c7de170ab1e9eafd1fdc19da1a272ecfc12972b38759e64679cb7020","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b058295c7de170ab1e9eafd1fdc19da1a272ecfc12972b38759e64679cb7020","first_computed_at":"2026-05-18T02:50:01.683912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:01.683912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G7dLv6Edb6nUVsH1qAJ05jypMayMVz2LEzHtyTRGz6uG2kHFUFiv0wZ+g6o7XKeq0Yn+hYX6YyO4KjoPnuHCBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:01.684406Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.2435","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fa203f8f297c0daa080533cba03bf4e8a6eb2802fb558394a14202d37ef451e","sha256:70a406afc7073aaa935cc0849083f88194d4a4bf39c319f3155e2d1d90734de8"],"state_sha256":"168852537b5a9c442554b6d0cbea49414e94e4871ef37758e5b5c4391aff157e"}