{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KQ4YCIRYEMVK5TWCU5P6XN7MII","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":"4c4483357597ef5b04c851fb401927c26d62ebc186f08e2d2a6b386a39f1bb43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-09T14:33:22Z","title_canon_sha256":"3f07cecdf8b474367a8556a9f6f266bbfd8919a566524d2b52235a9d24f2309f"},"schema_version":"1.0","source":{"id":"1508.02030","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02030","created_at":"2026-05-18T01:32:00Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02030v3","created_at":"2026-05-18T01:32:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02030","created_at":"2026-05-18T01:32:00Z"},{"alias_kind":"pith_short_12","alias_value":"KQ4YCIRYEMVK","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KQ4YCIRYEMVK5TWC","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KQ4YCIRY","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:a10ef19f8dc32e6f0cee675e31316ef7dc4cd441dd72bd98e796c87e2c96f3a2","target":"graph","created_at":"2026-05-18T01:32:00Z","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 consider non smooth general degenerate/singular parabolic equations in non divergence form with degeneracy and singularity occurring in the interior of the spatial domain, in presence of Dirichlet or Neumann boundary conditions. In particular, we consider well posedness of the problem and then we prove\n  Carleman estimates for the associated adjoint problem.","authors_text":"Genni Fragnelli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-09T14:33:22Z","title":"Interior degenerate/singular parabolic equations in nondivergence form: well-posedness and Carleman estimates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02030","kind":"arxiv","version":3},"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":"sha256:4cd4fe9bd418e83dc35c1f81a6e222d9fe127d6d9962bf0375f27523828b6f1f","target":"record","created_at":"2026-05-18T01:32:00Z","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":"4c4483357597ef5b04c851fb401927c26d62ebc186f08e2d2a6b386a39f1bb43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-09T14:33:22Z","title_canon_sha256":"3f07cecdf8b474367a8556a9f6f266bbfd8919a566524d2b52235a9d24f2309f"},"schema_version":"1.0","source":{"id":"1508.02030","kind":"arxiv","version":3}},"canonical_sha256":"5439812238232aaecec2a75febb7ec4220c0bb984aa2d97cae44e29b88dab794","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5439812238232aaecec2a75febb7ec4220c0bb984aa2d97cae44e29b88dab794","first_computed_at":"2026-05-18T01:32:00.180857Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:00.180857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HBAygBrOR6wOS5z4t5UJDp0m3tqP0rClafCzxwWujILKjbba1VAxAAD9/mODVcrLmGXoSaTyy0KlEekJcgW6CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:00.181398Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.02030","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4cd4fe9bd418e83dc35c1f81a6e222d9fe127d6d9962bf0375f27523828b6f1f","sha256:a10ef19f8dc32e6f0cee675e31316ef7dc4cd441dd72bd98e796c87e2c96f3a2"],"state_sha256":"1abcac7717e164c1d79ffad36298ecb3678b0237a9ec46f3711abbe2e137a23e"}