{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CAMFJS4MFA7DO2HPCWBNOOF3GQ","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":"f5cf610cd5b69280c9602dcc978c886678e22328144bd3c69ddda990e688ea68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-17T17:05:16Z","title_canon_sha256":"6de75b1e9efea85dbd556e3106da73be74e511f1f02b042ce12ad3de77139310"},"schema_version":"1.0","source":{"id":"1103.3460","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.3460","created_at":"2026-05-18T04:26:33Z"},{"alias_kind":"arxiv_version","alias_value":"1103.3460v1","created_at":"2026-05-18T04:26:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.3460","created_at":"2026-05-18T04:26:33Z"},{"alias_kind":"pith_short_12","alias_value":"CAMFJS4MFA7D","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CAMFJS4MFA7DO2HP","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CAMFJS4M","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:4a81c4f9038c6733b0a4f2808d85a0c3df6f88326e1643cb6cde4b45f4215b24","target":"graph","created_at":"2026-05-18T04:26:33Z","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":"Following Almgren's construction of the \"center manifold\" in his Big regularity paper, we show the C^{3,\\alpha} regularity of area-minimizing currents in the neighborhood of points of density one without using the nonparametric theory. This study is intended as a first step towards the understanding of Almgren's construction in its full generality.","authors_text":"Camillo De Lellis, Emanuele Nunzio Spadaro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-17T17:05:16Z","title":"Center Manifold: a case study"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.3460","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:d78771c2a85c0012ec1a1007a93c98b6ec739822f40aadf4c0d4e02fbedd1247","target":"record","created_at":"2026-05-18T04:26:33Z","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":"f5cf610cd5b69280c9602dcc978c886678e22328144bd3c69ddda990e688ea68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-17T17:05:16Z","title_canon_sha256":"6de75b1e9efea85dbd556e3106da73be74e511f1f02b042ce12ad3de77139310"},"schema_version":"1.0","source":{"id":"1103.3460","kind":"arxiv","version":1}},"canonical_sha256":"101854cb8c283e3768ef1582d738bb3410e014d6f913b5f450c497fa56e68473","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"101854cb8c283e3768ef1582d738bb3410e014d6f913b5f450c497fa56e68473","first_computed_at":"2026-05-18T04:26:33.639493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:33.639493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JYjv4nOM9ubbrGv7jZ1bx7PCL5Gjb6TDjGYqmwmanbNPTHqGy/AyQgDz31MptOhjUAvXu1I3s4VSzp4XYY0eDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:33.640047Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.3460","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d78771c2a85c0012ec1a1007a93c98b6ec739822f40aadf4c0d4e02fbedd1247","sha256:4a81c4f9038c6733b0a4f2808d85a0c3df6f88326e1643cb6cde4b45f4215b24"],"state_sha256":"93f8e0085a98cc0a926e8b5d4490c4a1a40beabb75e81104df8999151b0da32e"}