{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DVGUE5GYUGGRA4TSNKMXSGZO6U","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":"1afc3cccd67d4cabc385a252bd2fd3fd0204ba30fcb227c7701361805bdf48be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-17T13:16:09Z","title_canon_sha256":"775c0857743ab1f606902a7b3753bbd8b24ae2dc59fcef15dd8fe298fbfc5a98"},"schema_version":"1.0","source":{"id":"1508.04014","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.04014","created_at":"2026-05-18T01:35:13Z"},{"alias_kind":"arxiv_version","alias_value":"1508.04014v1","created_at":"2026-05-18T01:35:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.04014","created_at":"2026-05-18T01:35:13Z"},{"alias_kind":"pith_short_12","alias_value":"DVGUE5GYUGGR","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DVGUE5GYUGGRA4TS","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DVGUE5GY","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:4d366a76a3b10df8d63e18b916ba5d2d83b0e34df238e233ed76e263518c55e9","target":"graph","created_at":"2026-05-18T01:35:13Z","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 show Carleman estimates, observability inequalities and null controllability results for parabolic equations with non smooth coefficients degenerating at an interior point.","authors_text":"Dimitri Mugnai, Genni Fragnelli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-17T13:16:09Z","title":"Carleman estimates, observability inequalities and null controllability for interior degenerate non smooth parabolic equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04014","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:c78cec09024518660bbf00616ea805853caace54131a82c5e893271834e3b2cb","target":"record","created_at":"2026-05-18T01:35:13Z","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":"1afc3cccd67d4cabc385a252bd2fd3fd0204ba30fcb227c7701361805bdf48be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-17T13:16:09Z","title_canon_sha256":"775c0857743ab1f606902a7b3753bbd8b24ae2dc59fcef15dd8fe298fbfc5a98"},"schema_version":"1.0","source":{"id":"1508.04014","kind":"arxiv","version":1}},"canonical_sha256":"1d4d4274d8a18d1072726a99791b2ef510d96d1ebfc41941d31bb3b9bf8ce2d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d4d4274d8a18d1072726a99791b2ef510d96d1ebfc41941d31bb3b9bf8ce2d0","first_computed_at":"2026-05-18T01:35:13.021490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:13.021490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+JNbOv672QNH4xbfgQyObrneOJYNtVyFkdb7kik4A+PSYjMz9HZsrX0njAHHbtWfWFsbjSU8uvIfXKj5pOQUAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:13.022128Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.04014","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c78cec09024518660bbf00616ea805853caace54131a82c5e893271834e3b2cb","sha256:4d366a76a3b10df8d63e18b916ba5d2d83b0e34df238e233ed76e263518c55e9"],"state_sha256":"153d77104cb181342ef52a4677f16b4af6bd0590135a4f868f99d002e7eac44f"}