{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3V3AXFPBWEJWQVP6XANSTJYK57","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":"8c1b5a0f506d7cc2f824b502b4f8caff8e09b4b16b916e1727fb43c0e90de0b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-05T13:01:42Z","title_canon_sha256":"3336acc6d8e35664d7fa78b1a2553213ad8fcc7c2743034a3a270d0a29eab553"},"schema_version":"1.0","source":{"id":"1212.1017","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1017","created_at":"2026-05-18T01:31:04Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1017v1","created_at":"2026-05-18T01:31:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1017","created_at":"2026-05-18T01:31:04Z"},{"alias_kind":"pith_short_12","alias_value":"3V3AXFPBWEJW","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"3V3AXFPBWEJWQVP6","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"3V3AXFPB","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:dd886968f4c813e8732138c2ea57522f4c78bc5882a82e1bd949fe1f15b6970a","target":"graph","created_at":"2026-05-18T01:31:04Z","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 free boundary problem for a layer of viscous, incompressible fluid in a uniform gravitational field, lying above a rigid bottom and below the atmosphere. For the \"semi-small\" initial data, we prove the zero surface tension limit of the problem within a local time interval. The unique local strong solution with surface tension is constructed as the limit of a sequence of approximate solutions to a special parabolic regularization. For the small initial data, we prove the global-in-time zero surface tension limit of the problem.","authors_text":"Yanjin Wang, Zhong Tan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-05T13:01:42Z","title":"Zero surface tension limit of viscous surface waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1017","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":"sha256:378cbce85584e879a5c4eac268e585b89b1ab1a83ea26d4c4b13df9e6b2c12d4","target":"record","created_at":"2026-05-18T01:31:04Z","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":"8c1b5a0f506d7cc2f824b502b4f8caff8e09b4b16b916e1727fb43c0e90de0b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-05T13:01:42Z","title_canon_sha256":"3336acc6d8e35664d7fa78b1a2553213ad8fcc7c2743034a3a270d0a29eab553"},"schema_version":"1.0","source":{"id":"1212.1017","kind":"arxiv","version":1}},"canonical_sha256":"dd760b95e1b1136855feb81b29a70aefe8f59dbf60ae6ccf116bcff701336e28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd760b95e1b1136855feb81b29a70aefe8f59dbf60ae6ccf116bcff701336e28","first_computed_at":"2026-05-18T01:31:04.108871Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:04.108871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DLEpkxUellvrNjalreIxP6LN5QxCSRU+S3NuoUJLBLOsyS41/hbfYCF+mUyIKWv0a63yMm2/ICd25/m7ch1MDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:04.109525Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.1017","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:378cbce85584e879a5c4eac268e585b89b1ab1a83ea26d4c4b13df9e6b2c12d4","sha256:dd886968f4c813e8732138c2ea57522f4c78bc5882a82e1bd949fe1f15b6970a"],"state_sha256":"752d90b217fe1d63852c2f14703548b3b5f22f92aac71dd278f2da4f9ae6ee23"}