{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:X7S6CL2SSG5GAEYKHTZDFTSQKN","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":"87f391161f1921477e0c5f71ec120fef04e02c82e9d1154bbd3402305b042590","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-27T17:11:21Z","title_canon_sha256":"01e11737b8dfec24c0095b424aff7f7be1c6ffea3066f70bb3c880349de7e53c"},"schema_version":"1.0","source":{"id":"1711.09835","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.09835","created_at":"2026-05-18T00:07:23Z"},{"alias_kind":"arxiv_version","alias_value":"1711.09835v2","created_at":"2026-05-18T00:07:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.09835","created_at":"2026-05-18T00:07:23Z"},{"alias_kind":"pith_short_12","alias_value":"X7S6CL2SSG5G","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"X7S6CL2SSG5GAEYK","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"X7S6CL2S","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:77ca2a41de8c121f6cb0aa3739da151a278765199ba69ad988dccf8070b15a95","target":"graph","created_at":"2026-05-18T00:07:23Z","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 prove higher H\\\"older regularity for solutions of equations involving the fractional $p-$Laplacian of order $s$, when $p\\ge 2$ and $0<s<1$. In particular, we provide an explicit H\\\"older exponent for solutions of the non-homogeneous equation with data in $L^q$ and $q>N/(s\\,p)$, which is almost sharp whenever $s\\,p\\leq (p-1)+N/q$. The result is new already for the homogeneous equation.","authors_text":"Armin Schikorra, Erik Lindgren, Lorenzo Brasco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-27T17:11:21Z","title":"Higher H\\\"older regularity for the fractional $p-$Laplacian in the superquadratic case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.09835","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:dcb0c8509b477bf61aabb2a193697758b25cbfc99ab3b604733e8a092bd9f4af","target":"record","created_at":"2026-05-18T00:07:23Z","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":"87f391161f1921477e0c5f71ec120fef04e02c82e9d1154bbd3402305b042590","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-27T17:11:21Z","title_canon_sha256":"01e11737b8dfec24c0095b424aff7f7be1c6ffea3066f70bb3c880349de7e53c"},"schema_version":"1.0","source":{"id":"1711.09835","kind":"arxiv","version":2}},"canonical_sha256":"bfe5e12f5291ba60130a3cf232ce50535795c23ca5292fa97ade86c020992e75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfe5e12f5291ba60130a3cf232ce50535795c23ca5292fa97ade86c020992e75","first_computed_at":"2026-05-18T00:07:23.726865Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:23.726865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6wh8a9qp3YqNLaw47tL5rN8cWl8qe2scL8ZvTaV4XZYKQma/ZE6t1CbWr2hFXgrizZBP+YvQ+bOk0ub3zIlLAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:23.727286Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.09835","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcb0c8509b477bf61aabb2a193697758b25cbfc99ab3b604733e8a092bd9f4af","sha256:77ca2a41de8c121f6cb0aa3739da151a278765199ba69ad988dccf8070b15a95"],"state_sha256":"4afc4381aba86fc04d8a2af437a541b8cc4659af62a8b19c1b952bcf81a8daca"}