{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PF6RWOALLBUJR372YMTRPIHAQ4","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":"740c1ddbc2e625c3774e1af32b3ce3448ef5885dced0141b8c751a9c93c3f957","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-13T06:44:38Z","title_canon_sha256":"8c93b49c81c3e01733f53263562d1d6d24dc7ecc6b2faed4cd39c19e20890255"},"schema_version":"1.0","source":{"id":"1511.04188","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.04188","created_at":"2026-05-18T01:12:17Z"},{"alias_kind":"arxiv_version","alias_value":"1511.04188v2","created_at":"2026-05-18T01:12:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04188","created_at":"2026-05-18T01:12:17Z"},{"alias_kind":"pith_short_12","alias_value":"PF6RWOALLBUJ","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PF6RWOALLBUJR372","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PF6RWOAL","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:14493f2d1a85067795f0b4c9473b70408621cbc6da56cc335524402ce1febf46","target":"graph","created_at":"2026-05-18T01:12:17Z","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 that a certain class of fully nonlinear nonlocal equations have smooth solutions as long as the right-hand side is nice and the boundary datum is bounded. To this end we follow the classical strategy. We first show that solutions are $C^{\\sigma+\\alpha}$ continuous, then develop a bootstrap argument robust enough for operators that may depend on the solution and its \\sigma-derivatives.","authors_text":"Hui Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-13T06:44:38Z","title":"Smooth Solutions to a Class of Nonlocal Fully Nonlinear Elliptic Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04188","kind":"arxiv","version":2},"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:e68c71cb6edb714ed44a1fc3436a3abccde81d8a66ca0d332b660c98e2835038","target":"record","created_at":"2026-05-18T01:12:17Z","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":"740c1ddbc2e625c3774e1af32b3ce3448ef5885dced0141b8c751a9c93c3f957","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-13T06:44:38Z","title_canon_sha256":"8c93b49c81c3e01733f53263562d1d6d24dc7ecc6b2faed4cd39c19e20890255"},"schema_version":"1.0","source":{"id":"1511.04188","kind":"arxiv","version":2}},"canonical_sha256":"797d1b380b586898effac32717a0e08738cc445780fd4f48b8c275cce243b824","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"797d1b380b586898effac32717a0e08738cc445780fd4f48b8c275cce243b824","first_computed_at":"2026-05-18T01:12:17.046451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:17.046451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+Z9zmAx5AXc8vDZZG7suCpEUSwOSNF7BQze7/88QCxPXGRxecyCBP86Q0pAZyzUFx17swsnJVF4Nd7G+DBqGCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:17.046779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.04188","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e68c71cb6edb714ed44a1fc3436a3abccde81d8a66ca0d332b660c98e2835038","sha256:14493f2d1a85067795f0b4c9473b70408621cbc6da56cc335524402ce1febf46"],"state_sha256":"fc4780103a797b0ccf04001fe6d8aac59c03364a116bba357200c5aacf20807f"}