{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:WSUDZM7QCYWEC2JMR5FWN2WL3I","short_pith_number":"pith:WSUDZM7Q","canonical_record":{"source":{"id":"1210.1724","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-10-05T11:56:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"65d4255625eba680fddeb279f945abf227f9be62a37b4fcd69bcf5e174b8b360","abstract_canon_sha256":"b9e47d2f05a374a3f7a55b7d42d0fb54637d5c6a43b8c2a6e3e1741d12d36fe7"},"schema_version":"1.0"},"canonical_sha256":"b4a83cb3f0162c41692c8f4b66eacbda034a978fcad029de9bd0e875637f0511","source":{"kind":"arxiv","id":"1210.1724","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.1724","created_at":"2026-05-18T03:11:47Z"},{"alias_kind":"arxiv_version","alias_value":"1210.1724v2","created_at":"2026-05-18T03:11:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1724","created_at":"2026-05-18T03:11:47Z"},{"alias_kind":"pith_short_12","alias_value":"WSUDZM7QCYWE","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WSUDZM7QCYWEC2JM","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WSUDZM7Q","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:WSUDZM7QCYWEC2JMR5FWN2WL3I","target":"record","payload":{"canonical_record":{"source":{"id":"1210.1724","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-10-05T11:56:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"65d4255625eba680fddeb279f945abf227f9be62a37b4fcd69bcf5e174b8b360","abstract_canon_sha256":"b9e47d2f05a374a3f7a55b7d42d0fb54637d5c6a43b8c2a6e3e1741d12d36fe7"},"schema_version":"1.0"},"canonical_sha256":"b4a83cb3f0162c41692c8f4b66eacbda034a978fcad029de9bd0e875637f0511","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:47.064386Z","signature_b64":"BogvY/2fe7sXaLXWAyloUbsownQsjYrRhx4siGdbsnlFnbK6Mdtld82FMOufJ1+cuDcXRR+gPWv32PDwpiL0DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4a83cb3f0162c41692c8f4b66eacbda034a978fcad029de9bd0e875637f0511","last_reissued_at":"2026-05-18T03:11:47.063691Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:47.063691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.1724","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:11:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dS2V1loSl1X6F/0hIkpVbKOrPXZMLHsuUJsd3jYI+6jGws+GYWr2zL9GanHpLhszE07PbBCk457MdHmoAByPDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T19:23:59.523607Z"},"content_sha256":"82401f43158b9ea8b3015c40dc61645c58cf3d4fed3ec25c2a4485609b0d0d46","schema_version":"1.0","event_id":"sha256:82401f43158b9ea8b3015c40dc61645c58cf3d4fed3ec25c2a4485609b0d0d46"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:WSUDZM7QCYWEC2JMR5FWN2WL3I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the moving contact line singularity: Asymptotics of a diffuse-interface model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.flu-dyn","authors_text":"Andreas Nold, David N. Sibley, Nikos Savva, Serafim Kalliadasis","submitted_at":"2012-10-05T11:56:53Z","abstract_excerpt":"The behaviour of a solid-liquid-gas system near the three-phase contact line is considered using a diffuse-interface model with no-slip at the solid and where the fluid phase is specified by a continuous density field. Relaxation of the classical approach of a sharp liquid-gas interface and careful examination of the asymptotic behaviour as the contact line is approached is shown to resolve the stress and pressure singularities associated with the moving contact line problem. Various features of the model are scrutinised, alongside extensions to incorporate slip, finite-time relaxation of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1724","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:11:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cHdvF86aYZ0C0jJ2WrP3XvpiFvwRirs3CVn8EhBvgq/7VYuoreV9WiAuNfIu7GLSsq1NGSISzvlF77j+LK1TAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T19:23:59.523947Z"},"content_sha256":"cf804536fc58e217f74f1b71ea13ca15eb22f97af915050717470a9e6c78122e","schema_version":"1.0","event_id":"sha256:cf804536fc58e217f74f1b71ea13ca15eb22f97af915050717470a9e6c78122e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WSUDZM7QCYWEC2JMR5FWN2WL3I/bundle.json","state_url":"https://pith.science/pith/WSUDZM7QCYWEC2JMR5FWN2WL3I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WSUDZM7QCYWEC2JMR5FWN2WL3I/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-22T19:23:59Z","links":{"resolver":"https://pith.science/pith/WSUDZM7QCYWEC2JMR5FWN2WL3I","bundle":"https://pith.science/pith/WSUDZM7QCYWEC2JMR5FWN2WL3I/bundle.json","state":"https://pith.science/pith/WSUDZM7QCYWEC2JMR5FWN2WL3I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WSUDZM7QCYWEC2JMR5FWN2WL3I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WSUDZM7QCYWEC2JMR5FWN2WL3I","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":"b9e47d2f05a374a3f7a55b7d42d0fb54637d5c6a43b8c2a6e3e1741d12d36fe7","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-10-05T11:56:53Z","title_canon_sha256":"65d4255625eba680fddeb279f945abf227f9be62a37b4fcd69bcf5e174b8b360"},"schema_version":"1.0","source":{"id":"1210.1724","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.1724","created_at":"2026-05-18T03:11:47Z"},{"alias_kind":"arxiv_version","alias_value":"1210.1724v2","created_at":"2026-05-18T03:11:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1724","created_at":"2026-05-18T03:11:47Z"},{"alias_kind":"pith_short_12","alias_value":"WSUDZM7QCYWE","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WSUDZM7QCYWEC2JM","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WSUDZM7Q","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:cf804536fc58e217f74f1b71ea13ca15eb22f97af915050717470a9e6c78122e","target":"graph","created_at":"2026-05-18T03:11:47Z","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":"The behaviour of a solid-liquid-gas system near the three-phase contact line is considered using a diffuse-interface model with no-slip at the solid and where the fluid phase is specified by a continuous density field. Relaxation of the classical approach of a sharp liquid-gas interface and careful examination of the asymptotic behaviour as the contact line is approached is shown to resolve the stress and pressure singularities associated with the moving contact line problem. Various features of the model are scrutinised, alongside extensions to incorporate slip, finite-time relaxation of the ","authors_text":"Andreas Nold, David N. Sibley, Nikos Savva, Serafim Kalliadasis","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-10-05T11:56:53Z","title":"On the moving contact line singularity: Asymptotics of a diffuse-interface model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1724","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":"sha256:82401f43158b9ea8b3015c40dc61645c58cf3d4fed3ec25c2a4485609b0d0d46","target":"record","created_at":"2026-05-18T03:11:47Z","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":"b9e47d2f05a374a3f7a55b7d42d0fb54637d5c6a43b8c2a6e3e1741d12d36fe7","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-10-05T11:56:53Z","title_canon_sha256":"65d4255625eba680fddeb279f945abf227f9be62a37b4fcd69bcf5e174b8b360"},"schema_version":"1.0","source":{"id":"1210.1724","kind":"arxiv","version":2}},"canonical_sha256":"b4a83cb3f0162c41692c8f4b66eacbda034a978fcad029de9bd0e875637f0511","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4a83cb3f0162c41692c8f4b66eacbda034a978fcad029de9bd0e875637f0511","first_computed_at":"2026-05-18T03:11:47.063691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:47.063691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BogvY/2fe7sXaLXWAyloUbsownQsjYrRhx4siGdbsnlFnbK6Mdtld82FMOufJ1+cuDcXRR+gPWv32PDwpiL0DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:47.064386Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.1724","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82401f43158b9ea8b3015c40dc61645c58cf3d4fed3ec25c2a4485609b0d0d46","sha256:cf804536fc58e217f74f1b71ea13ca15eb22f97af915050717470a9e6c78122e"],"state_sha256":"3d0e3a5ef819b4bc22fa406fd2dc214addb4758321f8ec77ca027d3a60888d0c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FenVJrzvEXbGsBLMq8sqgpQugyJ4gWP07DX/URnaMHeU4zBGK4RU8KLhdRYMvGKI6C2zlNJr+HyxUE+WZPIyBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T19:23:59.525869Z","bundle_sha256":"fdc4850cc20fdae7c56f8821358781183effd05f61d689b505fae36311fd831b"}}