{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YNG5XJ2I5EVU3QF6SS5HN3IP3C","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":"2c6d3c900b1a43d1b91e2bdb7273e8c5a2e68824184836c5f598b1875be3e1db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-19T03:43:43Z","title_canon_sha256":"e861940bd37840f8a28493c2dace2169dc00732bff193be3b09ffba0bffb3515"},"schema_version":"1.0","source":{"id":"1704.05602","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05602","created_at":"2026-05-18T00:08:11Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05602v3","created_at":"2026-05-18T00:08:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05602","created_at":"2026-05-18T00:08:11Z"},{"alias_kind":"pith_short_12","alias_value":"YNG5XJ2I5EVU","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YNG5XJ2I5EVU3QF6","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YNG5XJ2I","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:d4aba6d5af0355e091338d8b2728ad432b381da9e213806e77abcde5971d7896","target":"graph","created_at":"2026-05-18T00:08:11Z","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 weak solutions ${\\bf v}:U\\times (0,T)\\rightarrow \\mathbb{R}^m$ of the nonlinear parabolic system $$ D\\psi({\\bf v}_t)=\\text{div}DF(D{\\bf v}), $$ where $\\psi$ and $F$ are convex functions. This is a prototype for more general doubly nonlinear evolutions which arise in the study of structural properties of materials. Under the assumption that the second derivatives of $F$ are H\\\"older continuous, we show that $D^2{\\bf v}$ and ${\\bf v}_t$ are locally H\\\"older continuous except for possibly on a lower dimensional subset of $U\\times (0,T)$. Our approach relies on two integral identities, de","authors_text":"Ryan Hynd","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-19T03:43:43Z","title":"Partial regularity for type two doubly nonlinear parabolic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05602","kind":"arxiv","version":3},"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":"sha256:01819ac51acdbe765fafcc93370806bc8e6a820796af18bf6c0b9635811d8b3e","target":"record","created_at":"2026-05-18T00:08:11Z","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":"2c6d3c900b1a43d1b91e2bdb7273e8c5a2e68824184836c5f598b1875be3e1db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-19T03:43:43Z","title_canon_sha256":"e861940bd37840f8a28493c2dace2169dc00732bff193be3b09ffba0bffb3515"},"schema_version":"1.0","source":{"id":"1704.05602","kind":"arxiv","version":3}},"canonical_sha256":"c34ddba748e92b4dc0be94ba76ed0fd8af9f52510b2f21098abe5c178825c4c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c34ddba748e92b4dc0be94ba76ed0fd8af9f52510b2f21098abe5c178825c4c0","first_computed_at":"2026-05-18T00:08:11.397941Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:11.397941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8T022Gr/K0/3QOtUMTD/dsamMUzPZtwvpcpteenc4N2eyiI/UiU5Rc3/1tq6n0m829gD7H+K2B4eKFiJFAhcDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:11.398442Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.05602","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01819ac51acdbe765fafcc93370806bc8e6a820796af18bf6c0b9635811d8b3e","sha256:d4aba6d5af0355e091338d8b2728ad432b381da9e213806e77abcde5971d7896"],"state_sha256":"56f182f4fc72f516fc3e0ec2a364062a7b4773f97161e1f4dcb7afee42d1b629"}