{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VXXP23YDMRA2S64UCZOXEEYTVP","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":"4ff1d33373287a0a26f85b3eeb2a749fe4d532f09926e42966fe02fd9ed075a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-05T20:37:47Z","title_canon_sha256":"3dae7e249430642175f97b3bf83507bcab00993523a0a8c1c930118d9c3d5bd2"},"schema_version":"1.0","source":{"id":"1802.01643","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01643","created_at":"2026-05-17T23:41:27Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01643v5","created_at":"2026-05-17T23:41:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01643","created_at":"2026-05-17T23:41:27Z"},{"alias_kind":"pith_short_12","alias_value":"VXXP23YDMRA2","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VXXP23YDMRA2S64U","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VXXP23YD","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:ce5b8dfe790c59d295cbc45f95e856ceef264f9747d76980c9d83d927a309a30","target":"graph","created_at":"2026-05-17T23:41:27Z","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 extend the Caffarelli-\\'Swiech-Winter $C^{1,\\alpha}$ regularity estimates to $L^p$-viscosity solutions of fully nonlinear uniformly elliptic equations in nondivergence form with superlinear growth in the gradient and unbounded coefficients. As an application, in addition to the usual $W^{2,p}$ results, we prove the existence of positive eigenvalues for proper operators with nonnegative unbounded weight, in particular for Pucci's operators with unbounded coefficients.","authors_text":"Gabrielle Nornberg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-05T20:37:47Z","title":"$C^{1,\\alpha}$ regularity for fully nonlinear elliptic equations with superlinear growth in the gradient"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01643","kind":"arxiv","version":5},"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":"sha256:5431f3110b119eea7b0f5df4a0a27cda78a8ef8954f1bfadba06585114cbe0ac","target":"record","created_at":"2026-05-17T23:41:27Z","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":"4ff1d33373287a0a26f85b3eeb2a749fe4d532f09926e42966fe02fd9ed075a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-05T20:37:47Z","title_canon_sha256":"3dae7e249430642175f97b3bf83507bcab00993523a0a8c1c930118d9c3d5bd2"},"schema_version":"1.0","source":{"id":"1802.01643","kind":"arxiv","version":5}},"canonical_sha256":"adeefd6f036441a97b94165d721313abe3c5b10af5f9494fe33b80f83adb3ddb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"adeefd6f036441a97b94165d721313abe3c5b10af5f9494fe33b80f83adb3ddb","first_computed_at":"2026-05-17T23:41:27.789851Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:27.789851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lY6Usql8McLMA//Xppbrpyf1Bbn389dUWJ3UGkB15VJBWPsTM7ov2nd8vsricjXDOAcCGK+EAfRtCFKAUKBEBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:27.790537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.01643","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5431f3110b119eea7b0f5df4a0a27cda78a8ef8954f1bfadba06585114cbe0ac","sha256:ce5b8dfe790c59d295cbc45f95e856ceef264f9747d76980c9d83d927a309a30"],"state_sha256":"70523ca9f07ee08722057367a0834ebe1be23aa522ec77eb5d2306aa19ac77a8"}