{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VVOPOA5XLTRAGVIX5C4NBESNK5","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":"07f1ca7abe5aee5228979e8f169c54408648d98c2611ed52bdd203bcb6f062b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-08T19:10:13Z","title_canon_sha256":"9a89e807eb2d96b6f10814061c73abdbd3479a3011dd31b7f6bdcd519987463f"},"schema_version":"1.0","source":{"id":"1712.03252","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.03252","created_at":"2026-05-18T00:10:22Z"},{"alias_kind":"arxiv_version","alias_value":"1712.03252v2","created_at":"2026-05-18T00:10:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03252","created_at":"2026-05-18T00:10:22Z"},{"alias_kind":"pith_short_12","alias_value":"VVOPOA5XLTRA","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VVOPOA5XLTRAGVIX","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VVOPOA5X","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:540247a360c2085bb2537336b9630a9b1899d5226a4b68394f1f29445347d7ad","target":"graph","created_at":"2026-05-18T00:10:22Z","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 prove higher summability for the gradient of minimizers of strongly convex integral functionals of the Calculus of Variations with (p,q)-Growth conditions in low dimension. Our procedure is set in the framework of Fractional Sobolev Spaces and renders the desired regularity as the result of an approximation technique relying on estimates obtained through a careful use of difference quotients.","authors_text":"Cristiana De Filippis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-08T19:10:13Z","title":"Higher Integrability for Constrained Minimizers of Integral Functionals with (p,q)-Growth in low dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03252","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:b68fafbfa1061e3c35f5a2dfaa8d2c6394c3c6f80b34950df7e161505c2e4a1a","target":"record","created_at":"2026-05-18T00:10:22Z","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":"07f1ca7abe5aee5228979e8f169c54408648d98c2611ed52bdd203bcb6f062b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-08T19:10:13Z","title_canon_sha256":"9a89e807eb2d96b6f10814061c73abdbd3479a3011dd31b7f6bdcd519987463f"},"schema_version":"1.0","source":{"id":"1712.03252","kind":"arxiv","version":2}},"canonical_sha256":"ad5cf703b75ce2035517e8b8d0924d575285f1a31b584d82fcc2abd95c0632f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad5cf703b75ce2035517e8b8d0924d575285f1a31b584d82fcc2abd95c0632f4","first_computed_at":"2026-05-18T00:10:22.242647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:22.242647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+MESWfy86mzek9picBmWqdrFwVl/peMpuC7Dm0N9LDG+Dsb16EHg+ecy6pOLSBFNydpyk3QOaepHuIqiU30WDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:22.243199Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.03252","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b68fafbfa1061e3c35f5a2dfaa8d2c6394c3c6f80b34950df7e161505c2e4a1a","sha256:540247a360c2085bb2537336b9630a9b1899d5226a4b68394f1f29445347d7ad"],"state_sha256":"70b8549566d957e3b868479946246e05fca0e0142f4089aaba24cabe9d67e563"}