{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VPRIRC5RXYGAGVAELODRGYYTJQ","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":"7a8322a348c4452234faa09b2df846fff8d82dd6655d6dc85fe6d6439a2654a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-17T18:20:12Z","title_canon_sha256":"a73578fa7a3c26194704f4b1d1b6ce12156d564b6b01b478f85389649ce0ea38"},"schema_version":"1.0","source":{"id":"1603.05604","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05604","created_at":"2026-05-18T00:32:15Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05604v4","created_at":"2026-05-18T00:32:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05604","created_at":"2026-05-18T00:32:15Z"},{"alias_kind":"pith_short_12","alias_value":"VPRIRC5RXYGA","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VPRIRC5RXYGAGVAE","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VPRIRC5R","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:5e7efaf66ff845cd7dca48575f777c1c5a84a1e4e8cba13ce9daffa8cca960b8","target":"graph","created_at":"2026-05-18T00:32:15Z","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 study the local regularity of $p$-caloric functions or more generally of $\\phi$-caloric functions. In particular, we study local solutions of non-linear parabolic systems with homogeneous right hand side, where the leading terms has Uhlenbeck structure of Orlicz type. This paper closes the gap of [22] where Liebermann proved that if the gradient of a solution is bounded, it is H\\\"older continuous.\n  The crucial step is a novel local estimates for the gradient of the solutions, which generalize and improve the pioneering estimates of DiBenedetto and Friedman [12,10] for the $p$-Laplace heat ","authors_text":"Lars Diening, Sebastian Schwarzacher, Toni Scharle","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-17T18:20:12Z","title":"Regularity for parabolic systems of Uhlenbeck type with Orlicz growth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05604","kind":"arxiv","version":4},"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":"sha256:2a121f58844af715ce0595b1df80f0072e662afefbac0eb42ceddaf141c0a690","target":"record","created_at":"2026-05-18T00:32:15Z","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":"7a8322a348c4452234faa09b2df846fff8d82dd6655d6dc85fe6d6439a2654a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-17T18:20:12Z","title_canon_sha256":"a73578fa7a3c26194704f4b1d1b6ce12156d564b6b01b478f85389649ce0ea38"},"schema_version":"1.0","source":{"id":"1603.05604","kind":"arxiv","version":4}},"canonical_sha256":"abe2888bb1be0c0354045b871363134c150f4b0c05a42de35510337c2e8ddaa3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abe2888bb1be0c0354045b871363134c150f4b0c05a42de35510337c2e8ddaa3","first_computed_at":"2026-05-18T00:32:15.196273Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:15.196273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9b79cgQIWpUBqOzC07jcXBkzdSKtCevjMAuwxq8MmQuqlWq4BCnxO6eVBew5NXGwt9IMFf4zXlYqNz/F7NP0Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:15.196836Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.05604","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a121f58844af715ce0595b1df80f0072e662afefbac0eb42ceddaf141c0a690","sha256:5e7efaf66ff845cd7dca48575f777c1c5a84a1e4e8cba13ce9daffa8cca960b8"],"state_sha256":"af8187e341f8e6f7e70f214033c38d8586d9a4a0bf0f303d79da6698fd626318"}