{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BXVKA4LQU4IMBG3GYHQBVZCQAM","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":"6125a02c73f2bfa574562bda63d21f4a3816ba69f81863f644eb9174421f2ff2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-14T15:00:59Z","title_canon_sha256":"011e5d2a750529c4b7774a9652a8aaa6229a24c35d2d2448feba01438b09e448"},"schema_version":"1.0","source":{"id":"1709.04833","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04833","created_at":"2026-05-18T00:14:06Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04833v3","created_at":"2026-05-18T00:14:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04833","created_at":"2026-05-18T00:14:06Z"},{"alias_kind":"pith_short_12","alias_value":"BXVKA4LQU4IM","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BXVKA4LQU4IMBG3G","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BXVKA4LQ","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:84ff7be76e71940a44a08574fe93414191e6ee572a4306f59910c7a4500a5c6d","target":"graph","created_at":"2026-05-18T00:14:06Z","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 analyze the convergence rates to a planar interface in the Mullins-Sekerka model by applying a relaxation method based on relationships among distance, energy, and dissipation. The relaxation method was developed by two of the authors in the context of the 1-d Cahn-Hilliard equation and the current work represents an extension to a higher dimensional problem in which the curvature of the interface plays an important role. The convergence rates obtained are optimal given the assumptions on the initial data.","authors_text":"Felix Otto, Maria G. Westdickenberg, Olga Chugreeva","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-14T15:00:59Z","title":"Optimal relaxation to a planar interface in the Mullins-Sekerka problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04833","kind":"arxiv","version":3},"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":"sha256:3eddc1433209aaaf48f6caee099442671db802ac7c46e82b8ef9a459729a3cd3","target":"record","created_at":"2026-05-18T00:14:06Z","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":"6125a02c73f2bfa574562bda63d21f4a3816ba69f81863f644eb9174421f2ff2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-14T15:00:59Z","title_canon_sha256":"011e5d2a750529c4b7774a9652a8aaa6229a24c35d2d2448feba01438b09e448"},"schema_version":"1.0","source":{"id":"1709.04833","kind":"arxiv","version":3}},"canonical_sha256":"0deaa07170a710c09b66c1e01ae450032747db5ea12ff9783cc87aba97d6f6df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0deaa07170a710c09b66c1e01ae450032747db5ea12ff9783cc87aba97d6f6df","first_computed_at":"2026-05-18T00:14:06.665045Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:06.665045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"82bO2/5khc0w7zQDYnEgZuv5x5aysWqKRNFTw45y0tcYtX5wrHSVm0ThCn8JuoVVAinKtElbRqxPdPzzjBcRDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:06.665577Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.04833","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3eddc1433209aaaf48f6caee099442671db802ac7c46e82b8ef9a459729a3cd3","sha256:84ff7be76e71940a44a08574fe93414191e6ee572a4306f59910c7a4500a5c6d"],"state_sha256":"5a21ce5f4ebafca51099512b72fca38c51f4b4b9922345767fe4ca51fc610e68"}