{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PLB3ORYUGPJQQPGGVVUB3BXW4X","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":"e15967765e99314b9b4e87e389bba0dd9baa749b603708aca0062a81b834dea9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-15T09:12:28Z","title_canon_sha256":"2b151e7fac6731af62513a6f13db094458aef3673f73e441bf92d86f612c5047"},"schema_version":"1.0","source":{"id":"1603.04600","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.04600","created_at":"2026-05-18T01:12:22Z"},{"alias_kind":"arxiv_version","alias_value":"1603.04600v2","created_at":"2026-05-18T01:12:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04600","created_at":"2026-05-18T01:12:22Z"},{"alias_kind":"pith_short_12","alias_value":"PLB3ORYUGPJQ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PLB3ORYUGPJQQPGG","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PLB3ORYU","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:43a00ddd7f4a12af438d2da4e8c1bf4cb5cac6eb2eda758ba9f5b053ba3cc3a5","target":"graph","created_at":"2026-05-18T01:12:22Z","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 show that the new result on H\\\"older continuity of solutions to a class of nondiagonal elliptic systems with $p$-growth in [2] can be used to improve the $L^q$ theory for such systems.","authors_text":"Martin Kalousek, Miroslav Bul\\'i\\v{c}ek, Petr Kaplick\\'y, V\\'aclav M\\'acha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-15T09:12:28Z","title":"Gradient $L^q$ theory for a class of nondiagonal elliptic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04600","kind":"arxiv","version":2},"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":"sha256:18b4f4f8baf50a0b0bbbee750141d4615c097c238c633a99e51a1c66d6b0d5b0","target":"record","created_at":"2026-05-18T01:12:22Z","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":"e15967765e99314b9b4e87e389bba0dd9baa749b603708aca0062a81b834dea9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-15T09:12:28Z","title_canon_sha256":"2b151e7fac6731af62513a6f13db094458aef3673f73e441bf92d86f612c5047"},"schema_version":"1.0","source":{"id":"1603.04600","kind":"arxiv","version":2}},"canonical_sha256":"7ac3b7471433d3083cc6ad681d86f6e5f39f07ee7e5116f286a53c63cc0a8958","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ac3b7471433d3083cc6ad681d86f6e5f39f07ee7e5116f286a53c63cc0a8958","first_computed_at":"2026-05-18T01:12:22.537823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:22.537823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QIzDCu02H4O+EF1HjPcKOiR3dcJsR9l0b3AcgncoHGn+s5MOv9xxxeh9xZX+ZLfw3vsj9KXlj2BwTNPZBGhQBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:22.538170Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.04600","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18b4f4f8baf50a0b0bbbee750141d4615c097c238c633a99e51a1c66d6b0d5b0","sha256:43a00ddd7f4a12af438d2da4e8c1bf4cb5cac6eb2eda758ba9f5b053ba3cc3a5"],"state_sha256":"8a29e152236aa01f52b68117f1be46a635c7aa4902dc6b1ba26ece32f2988d3f"}