{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IMZDOZLYCZBCWVYBCIGO5GEZKA","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":"1e33f077a1f757309d402f4df588d4d4165cecaf5b0fa359c95d92a17630d4bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-04-30T15:29:01Z","title_canon_sha256":"db88b725d8277f3133847051ec15697082175aa9f510eba3ea063a947f4e6590"},"schema_version":"1.0","source":{"id":"1304.8032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.8032","created_at":"2026-05-18T03:26:51Z"},{"alias_kind":"arxiv_version","alias_value":"1304.8032v1","created_at":"2026-05-18T03:26:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.8032","created_at":"2026-05-18T03:26:51Z"},{"alias_kind":"pith_short_12","alias_value":"IMZDOZLYCZBC","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IMZDOZLYCZBCWVYB","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IMZDOZLY","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:fd733f3dac6548a0d69dea818a81c0f7aa59c0b0bf02ee5f0ea3f51414f2156c","target":"graph","created_at":"2026-05-18T03:26:51Z","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":"In this paper we shall establish some regularity results of solutions of a class of fully nonlinear equations, with a first order term which is sub-linear. We prove local H\\\"older regularity of the gradient both in the interior and up to the boundary.","authors_text":"F. Demengel, I. Birindelli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-04-30T15:29:01Z","title":"H\\\"older regularity of the gradient for solutions of fully nonlinear equations with sublinear first order terms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.8032","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:baa928ee0fe18515834977fced9a260bd908c7ef507ba9d98e86d48cad9e68b1","target":"record","created_at":"2026-05-18T03:26:51Z","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":"1e33f077a1f757309d402f4df588d4d4165cecaf5b0fa359c95d92a17630d4bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-04-30T15:29:01Z","title_canon_sha256":"db88b725d8277f3133847051ec15697082175aa9f510eba3ea063a947f4e6590"},"schema_version":"1.0","source":{"id":"1304.8032","kind":"arxiv","version":1}},"canonical_sha256":"433237657816422b5701120cee9899500b73d60e4fbb29329d7b85b0b408d7c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"433237657816422b5701120cee9899500b73d60e4fbb29329d7b85b0b408d7c6","first_computed_at":"2026-05-18T03:26:51.081949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:51.081949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zeq0CUz8mdnfGQCFvT69QXAGuiyrMxx4awXi7qDik/KvI9reM2bJN9eySuXe4QSgZbxeX3nJibDmxjeGeQIqCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:51.082534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.8032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:baa928ee0fe18515834977fced9a260bd908c7ef507ba9d98e86d48cad9e68b1","sha256:fd733f3dac6548a0d69dea818a81c0f7aa59c0b0bf02ee5f0ea3f51414f2156c"],"state_sha256":"81c2e8816ca8216a1bc0e1f20fc5fe5053a4a0568eb91b82bf70978ea7f4f766"}