{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:P75P7GNU7HCVPGATOSRNMCE4TM","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":"6a7e1abb655dbf58b0f0e425954a44cffd599d5e60897f7d5d0b69f2443544a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-28T11:01:38Z","title_canon_sha256":"bd78ce52729ae2eb411014bac11ca2aa2c80c7bc5ea42a0e86cd008ae31a94d6"},"schema_version":"1.0","source":{"id":"1602.08701","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.08701","created_at":"2026-05-18T01:19:52Z"},{"alias_kind":"arxiv_version","alias_value":"1602.08701v1","created_at":"2026-05-18T01:19:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08701","created_at":"2026-05-18T01:19:52Z"},{"alias_kind":"pith_short_12","alias_value":"P75P7GNU7HCV","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"P75P7GNU7HCVPGAT","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"P75P7GNU","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:2749f76fa4744a3104c257672810ed4b823da18c97886c9b55791e0b38fb539f","target":"graph","created_at":"2026-05-18T01:19:52Z","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":"Despite the many applications of rate-independent systems, their regularity theory is still largely unexplored. Usually, only weak solution with potentially very low regularity are considered, which requires non-smooth techniques. In this work, however, we directly prove the existence of H\\\"older-regular strong solutions for a class of rate-independent systems. We also establish further assertions about higher regularity of our solutions. The proof proceeds via a time-discrete Rothe approximation, careful elliptic regularity estimates in the discrete situation and evolutionary techniques.","authors_text":"Filip Rindler, Sebastian Schwarzacher","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-28T11:01:38Z","title":"Existence and regularity for a class of rate-independent systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08701","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":"sha256:743ab3f6360e8fcb9c0e21122e6e05d136d0a4b5fed169c587db5bd5dd7cddc0","target":"record","created_at":"2026-05-18T01:19:52Z","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":"6a7e1abb655dbf58b0f0e425954a44cffd599d5e60897f7d5d0b69f2443544a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-28T11:01:38Z","title_canon_sha256":"bd78ce52729ae2eb411014bac11ca2aa2c80c7bc5ea42a0e86cd008ae31a94d6"},"schema_version":"1.0","source":{"id":"1602.08701","kind":"arxiv","version":1}},"canonical_sha256":"7ffaff99b4f9c557981374a2d6089c9b0afa693193c5be312df0871c26b4d64c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ffaff99b4f9c557981374a2d6089c9b0afa693193c5be312df0871c26b4d64c","first_computed_at":"2026-05-18T01:19:52.142648Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:52.142648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0sckqO6Fxcb8lAEJyZGLOVmp97ql56nt5jDd/5SIPrbezWgOzPEv6cKE2K+RFggogmxw7Ykat3lj/YkPGhEGDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:52.143384Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.08701","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:743ab3f6360e8fcb9c0e21122e6e05d136d0a4b5fed169c587db5bd5dd7cddc0","sha256:2749f76fa4744a3104c257672810ed4b823da18c97886c9b55791e0b38fb539f"],"state_sha256":"15869df6b54e1636c6d859c5dd9436cdfd18e8f1695b98d71e5f94a1efe138e9"}