{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MQTIW7H3CQB5XBZN7IMOVTN46T","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":"d1279716f12b26cf7e2bdb497cb32bc1d081ef3b53717db0ac02beecb305f631","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-14T15:43:45Z","title_canon_sha256":"86d33af4b5fa81de7b2655298615c853dec122ad1be26b68293a5c081d896342"},"schema_version":"1.0","source":{"id":"1611.04422","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.04422","created_at":"2026-05-18T00:53:29Z"},{"alias_kind":"arxiv_version","alias_value":"1611.04422v2","created_at":"2026-05-18T00:53:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04422","created_at":"2026-05-18T00:53:29Z"},{"alias_kind":"pith_short_12","alias_value":"MQTIW7H3CQB5","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MQTIW7H3CQB5XBZN","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MQTIW7H3","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:e9de2e5417567e615d5ba513c4be539445f3560b2632d3c5103d25fdc52df1bb","target":"graph","created_at":"2026-05-18T00:53:29Z","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 consider the sharp interface limit of a coupled Stokes/Allen-Cahn system, when a parameter $\\varepsilon>0$ that is proportional to the thickness of the diffuse interface tends to zero, in a two dimensional bounded domain. For sufficiently small times we prove convergence of the solutions of the Stokes/Allen-Cahn system to solutions of a sharp interface model, where the interface evolution is given by the mean curvature equation with an additional convection term coupled to a two-phase Stokes system with an additional contribution to the stress tensor, which describes the capillary stress. T","authors_text":"Helmut Abels, Yuning Liu","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-14T15:43:45Z","title":"Sharp Interface Limit for a Stokes/Allen-Cahn System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04422","kind":"arxiv","version":2},"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":"sha256:5a2a51e303cdd27540ad77c0adb0a5c3b5835bcfdf569af6af939bdc4f1efc98","target":"record","created_at":"2026-05-18T00:53:29Z","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":"d1279716f12b26cf7e2bdb497cb32bc1d081ef3b53717db0ac02beecb305f631","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-14T15:43:45Z","title_canon_sha256":"86d33af4b5fa81de7b2655298615c853dec122ad1be26b68293a5c081d896342"},"schema_version":"1.0","source":{"id":"1611.04422","kind":"arxiv","version":2}},"canonical_sha256":"64268b7cfb1403db872dfa18eacdbcf4dfa23d9cadb0c8b47b666ee5e9690800","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64268b7cfb1403db872dfa18eacdbcf4dfa23d9cadb0c8b47b666ee5e9690800","first_computed_at":"2026-05-18T00:53:29.621756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:29.621756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KWxKngN63O/CQMdiqv8fwKoWwhlxYJuyL3tFDkpfOfw8DL6Xcg7ob7tggSfERw8hCyasmfWX7JXMaWZ2wf5uDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:29.622158Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.04422","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a2a51e303cdd27540ad77c0adb0a5c3b5835bcfdf569af6af939bdc4f1efc98","sha256:e9de2e5417567e615d5ba513c4be539445f3560b2632d3c5103d25fdc52df1bb"],"state_sha256":"6bc6538a7575862720f219de9e76958a1ceca86036da29f509ebbdb917d4473e"}