{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6QREJJIV5HQONXCUBDT4FSUNVT","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":"34902f851a77f3431fa95884c8883a280ce57711215edb5353de3f7338ee634b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-05T21:56:00Z","title_canon_sha256":"d2a6b0b8e0d511da77a44ca2e337da83bb44e9e1f41b6e8c04e1e74c88c974f1"},"schema_version":"1.0","source":{"id":"1303.1196","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1196","created_at":"2026-05-18T01:51:16Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1196v1","created_at":"2026-05-18T01:51:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1196","created_at":"2026-05-18T01:51:16Z"},{"alias_kind":"pith_short_12","alias_value":"6QREJJIV5HQO","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6QREJJIV5HQONXCU","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6QREJJIV","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:a16b8daa5beea8e60ce024c3642dc38e42e1ec26104fd954375e2832d43de2a8","target":"graph","created_at":"2026-05-18T01:51:16Z","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 integrability for the gradient of local minimizers of the Mumford-Shah energy functional, providing a positive answer to a conjecture of De Giorgi.","authors_text":"Alessio Figalli, Guido De Philippis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-05T21:56:00Z","title":"Higher integrability for minimizers of the Mumford-Shah functional"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1196","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:f7aea53035dff8d279745edb22f2ebb69b35708a4ae59c8abb26c9a104cee86b","target":"record","created_at":"2026-05-18T01:51:16Z","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":"34902f851a77f3431fa95884c8883a280ce57711215edb5353de3f7338ee634b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-05T21:56:00Z","title_canon_sha256":"d2a6b0b8e0d511da77a44ca2e337da83bb44e9e1f41b6e8c04e1e74c88c974f1"},"schema_version":"1.0","source":{"id":"1303.1196","kind":"arxiv","version":1}},"canonical_sha256":"f42244a515e9e0e6dc5408e7c2ca8dacf8c36cc5ab1e8489abf40c38644827e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f42244a515e9e0e6dc5408e7c2ca8dacf8c36cc5ab1e8489abf40c38644827e0","first_computed_at":"2026-05-18T01:51:16.571523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:16.571523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KWMVPszS3bqjbVBqmT4knDa1IcALBFmPGj+UzqZWRwecop3MGdzsVrH07K/1CvUiPntAShOpvH/dfdPFpYd6Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:16.572127Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1196","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7aea53035dff8d279745edb22f2ebb69b35708a4ae59c8abb26c9a104cee86b","sha256:a16b8daa5beea8e60ce024c3642dc38e42e1ec26104fd954375e2832d43de2a8"],"state_sha256":"a25f291b3af31ccd6c8e478bf4b1d753522f56d8bc3e64f73bbfcebe096be715"}