{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DHIY2U6DYGYAHX4EX4A5ZQT3Y6","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":"24c22343c08f06c720209d7fe1644c11b446118bb4bb241005a1590bc779b848","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-05T21:16:42Z","title_canon_sha256":"c5662203792f0f90c3cac8ddb9bf6857b2f3e660edfd4edecbfeb2546ca5ebb0"},"schema_version":"1.0","source":{"id":"1701.01479","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.01479","created_at":"2026-05-18T00:53:16Z"},{"alias_kind":"arxiv_version","alias_value":"1701.01479v1","created_at":"2026-05-18T00:53:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01479","created_at":"2026-05-18T00:53:16Z"},{"alias_kind":"pith_short_12","alias_value":"DHIY2U6DYGYA","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DHIY2U6DYGYAHX4E","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DHIY2U6D","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:d418cc74191f27b5cb5ce0b10e864947e326745a8a2c095ce5d50b89797e070f","target":"graph","created_at":"2026-05-18T00:53:16Z","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 H\\\"older regularity results for a class of nonlinear parabolic problem with fractional-time derivative with nonlocal and Mittag-Leffler nonsingular kernel. Existence of weak solutions via approximating solutions is proved. Moreover, the H\\\"{o}lder continuity of viscosity solutions is obtained. We get the similar results as those obtained by Allen (see {\\url{https://arxiv.org/abs/1610.10073}})","authors_text":"A. Atangana, I. Area, J.D Djida","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-05T21:16:42Z","title":"Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.01479","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":"sha256:32193508034a68fa2cecd04ad49fc0b798d06ee8bc0710fd34cc1eb21eec10cd","target":"record","created_at":"2026-05-18T00:53:16Z","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":"24c22343c08f06c720209d7fe1644c11b446118bb4bb241005a1590bc779b848","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-05T21:16:42Z","title_canon_sha256":"c5662203792f0f90c3cac8ddb9bf6857b2f3e660edfd4edecbfeb2546ca5ebb0"},"schema_version":"1.0","source":{"id":"1701.01479","kind":"arxiv","version":1}},"canonical_sha256":"19d18d53c3c1b003df84bf01dcc27bc7a1a652a7238c88a4c8212eb7f0177b45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19d18d53c3c1b003df84bf01dcc27bc7a1a652a7238c88a4c8212eb7f0177b45","first_computed_at":"2026-05-18T00:53:16.730380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:16.730380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IxaiybWvv/22reyz+NTgtPe/bIFdsF+Pq5V6+ajrSTca57mcKYmQFoKK08MA5jFKl5RQJ5jCr0YpHcdQzwoKAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:16.730777Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.01479","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32193508034a68fa2cecd04ad49fc0b798d06ee8bc0710fd34cc1eb21eec10cd","sha256:d418cc74191f27b5cb5ce0b10e864947e326745a8a2c095ce5d50b89797e070f"],"state_sha256":"b4a159ccb63a81d2352ad5b36795613d13619c7e2aca5162d8f506e4d2506271"}