{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:AXDBLD6IYUR4WXKGQ6CFZIL5QT","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":"84360ad6bfcb9e035e4f4a8cc4467e28853cbc1e388af015b046aeb5a037aa55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-04T15:28:23Z","title_canon_sha256":"568586ca36ecc7c20d5738dc962450fcb92aed96c02962f5bda857b669a2548d"},"schema_version":"1.0","source":{"id":"1907.02455","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.02455","created_at":"2026-05-17T23:40:48Z"},{"alias_kind":"arxiv_version","alias_value":"1907.02455v3","created_at":"2026-05-17T23:40:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.02455","created_at":"2026-05-17T23:40:48Z"},{"alias_kind":"pith_short_12","alias_value":"AXDBLD6IYUR4","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"AXDBLD6IYUR4WXKG","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"AXDBLD6I","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:b386b953e10e4c2a546538ea345ea8cde13f9cb09b584276895decc1625914c9","target":"graph","created_at":"2026-05-17T23:40:48Z","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 establish sharp $C^{2s}$ interior regularity estimates for solutions of fully nonlinear nonlocal equations with bounded right hand side. More precisely, we show that if $I$ is a fully nonlinear nonlocal concave or convex elliptic operator and $f\\in L^\\infty(B_1)$ then \\[ Iu=f\\quad\\textrm{ in }\\quad B_1 \\quad \\Rightarrow\\quad u\\in C^{2s}(B_{1/2}). \\] This result generalizes the linear counterpart proved by Ros-Oton and Serra and extends previous available results for fully nonlinear nonlocal operators. As an application, we get a basic regularity estimate for the nonlocal two membranes probl","authors_text":"Hern\\'an Vivas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-04T15:28:23Z","title":"$C^{2s}$ regularity for fully nonlinear nonlocal equations with bounded right hand side"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.02455","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":"sha256:74c95ee3669440d5bb8b36c80b07347dd17149fec1009e7a91663649b66191be","target":"record","created_at":"2026-05-17T23:40:48Z","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":"84360ad6bfcb9e035e4f4a8cc4467e28853cbc1e388af015b046aeb5a037aa55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-04T15:28:23Z","title_canon_sha256":"568586ca36ecc7c20d5738dc962450fcb92aed96c02962f5bda857b669a2548d"},"schema_version":"1.0","source":{"id":"1907.02455","kind":"arxiv","version":3}},"canonical_sha256":"05c6158fc8c523cb5d4687845ca17d84f04ef09fcc417c15e9ca230ffe32ed0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05c6158fc8c523cb5d4687845ca17d84f04ef09fcc417c15e9ca230ffe32ed0c","first_computed_at":"2026-05-17T23:40:48.600251Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:48.600251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oDYFKIQhSIgkXA8WxFcwgb+SHAMsvGSqkF9oPVpxUhbJil8M1ahTEh8KB5BPH22hltPnc1fSbvlkGGrQt4+HDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:48.600976Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.02455","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74c95ee3669440d5bb8b36c80b07347dd17149fec1009e7a91663649b66191be","sha256:b386b953e10e4c2a546538ea345ea8cde13f9cb09b584276895decc1625914c9"],"state_sha256":"f131eb12449cadca5ed4403718a84194e8335953b5b661fa66b10516dba540ae"}