{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QL6QN2YRFCDXN3W5SWUYXISYR4","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":"e9089f0c5619fe001e7cf4403a4f1fb14d200e09ec90d93676ceccda2ad645cd","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-03-23T15:33:33Z","title_canon_sha256":"bd6a2be283ff02bb3e6ab8e1acb8a5f56e64cba97ae20b2ca0dd37f0d2cea148"},"schema_version":"1.0","source":{"id":"1603.07239","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07239","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07239v1","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07239","created_at":"2026-05-18T01:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"QL6QN2YRFCDX","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QL6QN2YRFCDXN3W5","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QL6QN2YR","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:2e97c2ed3ffd7504523060463e0057cf55227c319a09540f1b35a0d1153ea526","target":"graph","created_at":"2026-05-18T01:18:24Z","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 show the consistency of a threshold dynamics type algorithm for the anisotropic motion by fractional mean curvature, in the presence of a time dependent forcing term. Beside the consistency result, we show that convex sets remain convex during the evolution, and the evolution of a bounded convex set is uniquely defined.","authors_text":"Antonin Chambolle (CMAP), Berardo Ruffini (IMAG), Matteo Novaga","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-03-23T15:33:33Z","title":"Some results on anisotropic fractional mean curvature flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07239","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":"sha256:270d70f24d58315b66c0bd9e3ad3f6743b9850dd73e290cb6dc9365718b7a587","target":"record","created_at":"2026-05-18T01:18:24Z","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":"e9089f0c5619fe001e7cf4403a4f1fb14d200e09ec90d93676ceccda2ad645cd","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-03-23T15:33:33Z","title_canon_sha256":"bd6a2be283ff02bb3e6ab8e1acb8a5f56e64cba97ae20b2ca0dd37f0d2cea148"},"schema_version":"1.0","source":{"id":"1603.07239","kind":"arxiv","version":1}},"canonical_sha256":"82fd06eb11288776eedd95a98ba2588f31f174597fdc611c4a6ef0b1e73017e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82fd06eb11288776eedd95a98ba2588f31f174597fdc611c4a6ef0b1e73017e8","first_computed_at":"2026-05-18T01:18:24.007585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:24.007585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K3FdYK5gs81YIOo996yLFBcvRL39Knl3zo0AAvedhtx3onZEy/YWj+CfSk21eKhMT5XEMk82V8kmAFp54VirCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:24.008130Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07239","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:270d70f24d58315b66c0bd9e3ad3f6743b9850dd73e290cb6dc9365718b7a587","sha256:2e97c2ed3ffd7504523060463e0057cf55227c319a09540f1b35a0d1153ea526"],"state_sha256":"579d8eed95edfdc5ef1c9cd647d8ab8818a46b00460ab38ed75592ab9adf0430"}