{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:YGXYBDJDBLSFGKKIHXPLTVBBWL","short_pith_number":"pith:YGXYBDJD","schema_version":"1.0","canonical_sha256":"c1af808d230ae45329483ddeb9d421b2c306c43d50c862c5446ad0e8f57c8f8e","source":{"kind":"arxiv","id":"1308.1450","version":2},"attestation_state":"computed","paper":{"title":"On numerical modelling of contact lines in fluid flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Chengzhu Xu, Dmitry E. Pelinovsky","submitted_at":"2013-08-07T00:12:14Z","abstract_excerpt":"We study numerically a reduced model proposed by Benilov and Vynnycky (J. Fluid Mech. {\\bf 718} (2013), 481), who examined the behavior of a contact line with a $180^{\\circ}$ contact angle between liquid and a moving plate, in the context of a two-dimensional Couette flow. The model is given by a linear fourth-order advection-diffusion equation with an unknown velocity, which is to be determined dynamically from an additional boundary condition at the contact line.\n  The main claim of Benilov and Vynnycky is that for any physically relevant initial condition, there is a finite positive time at"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1308.1450","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-08-07T00:12:14Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"c12cbaf7c1e2d0bd57cae54e4c337350c71f879a5e6940bf2fbdf023fe7d667b","abstract_canon_sha256":"f74f60091f3f17aade37e0185777639ded4a11918a7f8f2737ef765884350b41"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:43.085212Z","signature_b64":"v4EtVZfYntYvkwYbXivGdx7kuqkSHDVNUivIYOSRuEflCZDzk8dTiLQY2QGMhhLdKBb3FdbuHxbOn0glIkjsBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1af808d230ae45329483ddeb9d421b2c306c43d50c862c5446ad0e8f57c8f8e","last_reissued_at":"2026-05-18T03:07:43.084628Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:43.084628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On numerical modelling of contact lines in fluid flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Chengzhu Xu, Dmitry E. Pelinovsky","submitted_at":"2013-08-07T00:12:14Z","abstract_excerpt":"We study numerically a reduced model proposed by Benilov and Vynnycky (J. Fluid Mech. {\\bf 718} (2013), 481), who examined the behavior of a contact line with a $180^{\\circ}$ contact angle between liquid and a moving plate, in the context of a two-dimensional Couette flow. The model is given by a linear fourth-order advection-diffusion equation with an unknown velocity, which is to be determined dynamically from an additional boundary condition at the contact line.\n  The main claim of Benilov and Vynnycky is that for any physically relevant initial condition, there is a finite positive time at"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1450","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1308.1450","created_at":"2026-05-18T03:07:43.084721+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.1450v2","created_at":"2026-05-18T03:07:43.084721+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1450","created_at":"2026-05-18T03:07:43.084721+00:00"},{"alias_kind":"pith_short_12","alias_value":"YGXYBDJDBLSF","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"YGXYBDJDBLSFGKKI","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"YGXYBDJD","created_at":"2026-05-18T12:28:06.772260+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YGXYBDJDBLSFGKKIHXPLTVBBWL","json":"https://pith.science/pith/YGXYBDJDBLSFGKKIHXPLTVBBWL.json","graph_json":"https://pith.science/api/pith-number/YGXYBDJDBLSFGKKIHXPLTVBBWL/graph.json","events_json":"https://pith.science/api/pith-number/YGXYBDJDBLSFGKKIHXPLTVBBWL/events.json","paper":"https://pith.science/paper/YGXYBDJD"},"agent_actions":{"view_html":"https://pith.science/pith/YGXYBDJDBLSFGKKIHXPLTVBBWL","download_json":"https://pith.science/pith/YGXYBDJDBLSFGKKIHXPLTVBBWL.json","view_paper":"https://pith.science/paper/YGXYBDJD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.1450&json=true","fetch_graph":"https://pith.science/api/pith-number/YGXYBDJDBLSFGKKIHXPLTVBBWL/graph.json","fetch_events":"https://pith.science/api/pith-number/YGXYBDJDBLSFGKKIHXPLTVBBWL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YGXYBDJDBLSFGKKIHXPLTVBBWL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YGXYBDJDBLSFGKKIHXPLTVBBWL/action/storage_attestation","attest_author":"https://pith.science/pith/YGXYBDJDBLSFGKKIHXPLTVBBWL/action/author_attestation","sign_citation":"https://pith.science/pith/YGXYBDJDBLSFGKKIHXPLTVBBWL/action/citation_signature","submit_replication":"https://pith.science/pith/YGXYBDJDBLSFGKKIHXPLTVBBWL/action/replication_record"}},"created_at":"2026-05-18T03:07:43.084721+00:00","updated_at":"2026-05-18T03:07:43.084721+00:00"}