{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NUH77RRNPA7FOGUE5EEZDMY5TH","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":"d3333915181778ec8246a7eb43eaa99f4b7617a6e2ec9c9058f9b2186c566f79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-11T00:32:26Z","title_canon_sha256":"7b1c1567c86b3d3d270ad82618d0ca0f26ed6cee0b307ad157ea5737c177de2e"},"schema_version":"1.0","source":{"id":"1611.03549","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03549","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03549v1","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03549","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"pith_short_12","alias_value":"NUH77RRNPA7F","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"NUH77RRNPA7FOGUE","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"NUH77RRN","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:8bcd4994e99d03608092bf2bcaf885d3e2b4081f8b253ebafe6648ea97d2a37a","target":"graph","created_at":"2026-05-18T00:31:13Z","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 prove existence and regularity results for weak solutions of non linear elliptic systems with non variational structure satisfying $(p,q)$-growth conditions. In particular we are able to prove higher differentiability results under a dimension-free gap between $p$ and $q$.","authors_text":"Anna Verde, Bianca Stroffolini, Giovanni Cupini, Miroslav Bul\\'i\\v{c}ek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-11T00:32:26Z","title":"Existence and regularity results for weak solutions to $(p,q)$-elliptic systems in divergence form"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03549","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":"sha256:84e7a7f7306a03db2c022e39aad6805a84e381564a95bd50ff385a7bb3a894f7","target":"record","created_at":"2026-05-18T00:31:13Z","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":"d3333915181778ec8246a7eb43eaa99f4b7617a6e2ec9c9058f9b2186c566f79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-11T00:32:26Z","title_canon_sha256":"7b1c1567c86b3d3d270ad82618d0ca0f26ed6cee0b307ad157ea5737c177de2e"},"schema_version":"1.0","source":{"id":"1611.03549","kind":"arxiv","version":1}},"canonical_sha256":"6d0fffc62d783e571a84e90991b31d99c63aa69d5afe072f885aed1a286172dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d0fffc62d783e571a84e90991b31d99c63aa69d5afe072f885aed1a286172dc","first_computed_at":"2026-05-18T00:31:13.684767Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:13.684767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MvkLkCw27hXuEE/3iAP/unCRx3ZdvcJvKnJMZE5kVbRxBn5mIjfUWi/IsJtIdCVrIXdkewIZTdH/8nFlgtRcCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:13.685401Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.03549","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84e7a7f7306a03db2c022e39aad6805a84e381564a95bd50ff385a7bb3a894f7","sha256:8bcd4994e99d03608092bf2bcaf885d3e2b4081f8b253ebafe6648ea97d2a37a"],"state_sha256":"3a162515da08dbcb1baf7a59ecc04d28f88c55afbc5eb10fc9f489149bcfbfc6"}