{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CLHTLAXT2IMMDYDWGLKHJNIAI3","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":"12495b2f1b38a00bd2007188c866e17bf8a1f3217a0459bd2b0c6bbf30ce7321","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-06-05T18:03:05Z","title_canon_sha256":"ad101c9bdccdc8219f72cb442a3dc967868ff514e0c53f9f9efa6ce5a215fbf7"},"schema_version":"1.0","source":{"id":"1306.1194","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1194","created_at":"2026-05-18T01:31:30Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1194v4","created_at":"2026-05-18T01:31:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1194","created_at":"2026-05-18T01:31:30Z"},{"alias_kind":"pith_short_12","alias_value":"CLHTLAXT2IMM","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CLHTLAXT2IMMDYDW","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CLHTLAXT","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:a70aebb71c068a4b093b851b6f3d9e8096dad05079a460471029b58baca04065","target":"graph","created_at":"2026-05-18T01:31:30Z","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":"This is the last of a series of three papers in which we give a new, shorter proof of a slightly improved version of Almgren's partial regularity of area minimizing currents in Riemannian manifolds. Here we perform a blow-up analysis deducing the regularity of area minimizing currents from that of Dir-minimizing multiple valued functions.","authors_text":"Camillo De Lellis, Emanuele Spadaro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-06-05T18:03:05Z","title":"Regularity of area minimizing currents III: blow-up"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1194","kind":"arxiv","version":4},"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:ea26b72ebed2d4e51d5541d725058487b49d663b6e6642bbff33f8d1376a8574","target":"record","created_at":"2026-05-18T01:31:30Z","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":"12495b2f1b38a00bd2007188c866e17bf8a1f3217a0459bd2b0c6bbf30ce7321","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-06-05T18:03:05Z","title_canon_sha256":"ad101c9bdccdc8219f72cb442a3dc967868ff514e0c53f9f9efa6ce5a215fbf7"},"schema_version":"1.0","source":{"id":"1306.1194","kind":"arxiv","version":4}},"canonical_sha256":"12cf3582f3d218c1e07632d474b50046d1744e9b55a958ef790f06776d2ed60e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12cf3582f3d218c1e07632d474b50046d1744e9b55a958ef790f06776d2ed60e","first_computed_at":"2026-05-18T01:31:30.418873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:30.418873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jspr72HrDcczabvcKyxMAMmC0LJgElSZE0cZf9rDClgMAAf1AFTnnsjCQppq+5PSneAU5t6zlm0FOcNScsjTDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:30.419391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.1194","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea26b72ebed2d4e51d5541d725058487b49d663b6e6642bbff33f8d1376a8574","sha256:a70aebb71c068a4b093b851b6f3d9e8096dad05079a460471029b58baca04065"],"state_sha256":"7428bb6cdc08137b47676fe00adc379ea6579fd90ee777934a13250edf0e94c6"}