{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PLB3ORYUGPJQQPGGVVUB3BXW4X","short_pith_number":"pith:PLB3ORYU","schema_version":"1.0","canonical_sha256":"7ac3b7471433d3083cc6ad681d86f6e5f39f07ee7e5116f286a53c63cc0a8958","source":{"kind":"arxiv","id":"1603.04600","version":2},"attestation_state":"computed","paper":{"title":"Gradient $L^q$ theory for a class of nondiagonal elliptic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Martin Kalousek, Miroslav Bul\\'i\\v{c}ek, Petr Kaplick\\'y, V\\'aclav M\\'acha","submitted_at":"2016-03-15T09:12:28Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1603.04600","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-15T09:12:28Z","cross_cats_sorted":[],"title_canon_sha256":"2b151e7fac6731af62513a6f13db094458aef3673f73e441bf92d86f612c5047","abstract_canon_sha256":"e15967765e99314b9b4e87e389bba0dd9baa749b603708aca0062a81b834dea9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:22.538170Z","signature_b64":"QIzDCu02H4O+EF1HjPcKOiR3dcJsR9l0b3AcgncoHGn+s5MOv9xxxeh9xZX+ZLfw3vsj9KXlj2BwTNPZBGhQBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ac3b7471433d3083cc6ad681d86f6e5f39f07ee7e5116f286a53c63cc0a8958","last_reissued_at":"2026-05-18T01:12:22.537823Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:22.537823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gradient $L^q$ theory for a class of nondiagonal elliptic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Martin Kalousek, Miroslav Bul\\'i\\v{c}ek, Petr Kaplick\\'y, V\\'aclav M\\'acha","submitted_at":"2016-03-15T09:12:28Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04600","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1603.04600","created_at":"2026-05-18T01:12:22.537886+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.04600v2","created_at":"2026-05-18T01:12:22.537886+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04600","created_at":"2026-05-18T01:12:22.537886+00:00"},{"alias_kind":"pith_short_12","alias_value":"PLB3ORYUGPJQ","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"PLB3ORYUGPJQQPGG","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"PLB3ORYU","created_at":"2026-05-18T12:30:39.010887+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PLB3ORYUGPJQQPGGVVUB3BXW4X","json":"https://pith.science/pith/PLB3ORYUGPJQQPGGVVUB3BXW4X.json","graph_json":"https://pith.science/api/pith-number/PLB3ORYUGPJQQPGGVVUB3BXW4X/graph.json","events_json":"https://pith.science/api/pith-number/PLB3ORYUGPJQQPGGVVUB3BXW4X/events.json","paper":"https://pith.science/paper/PLB3ORYU"},"agent_actions":{"view_html":"https://pith.science/pith/PLB3ORYUGPJQQPGGVVUB3BXW4X","download_json":"https://pith.science/pith/PLB3ORYUGPJQQPGGVVUB3BXW4X.json","view_paper":"https://pith.science/paper/PLB3ORYU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.04600&json=true","fetch_graph":"https://pith.science/api/pith-number/PLB3ORYUGPJQQPGGVVUB3BXW4X/graph.json","fetch_events":"https://pith.science/api/pith-number/PLB3ORYUGPJQQPGGVVUB3BXW4X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PLB3ORYUGPJQQPGGVVUB3BXW4X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PLB3ORYUGPJQQPGGVVUB3BXW4X/action/storage_attestation","attest_author":"https://pith.science/pith/PLB3ORYUGPJQQPGGVVUB3BXW4X/action/author_attestation","sign_citation":"https://pith.science/pith/PLB3ORYUGPJQQPGGVVUB3BXW4X/action/citation_signature","submit_replication":"https://pith.science/pith/PLB3ORYUGPJQQPGGVVUB3BXW4X/action/replication_record"}},"created_at":"2026-05-18T01:12:22.537886+00:00","updated_at":"2026-05-18T01:12:22.537886+00:00"}