{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OGS36AQF2JP4WKHVBFALJN47L4","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":"1461ec12e370ef8433019770d28ae7c70a82eeb7b648e96d0cd52327d8131335","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2010-09-06T09:29:17Z","title_canon_sha256":"96c47c5fcf19c5a2300efd381696820441aedf90230608827784d0e52aa6ab78"},"schema_version":"1.0","source":{"id":"1009.0998","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.0998","created_at":"2026-05-18T04:05:45Z"},{"alias_kind":"arxiv_version","alias_value":"1009.0998v3","created_at":"2026-05-18T04:05:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.0998","created_at":"2026-05-18T04:05:45Z"},{"alias_kind":"pith_short_12","alias_value":"OGS36AQF2JP4","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OGS36AQF2JP4WKHV","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OGS36AQF","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:8c0674b99615705ba9373ef3f32632873346285ca90249d38c63079d47181237","target":"graph","created_at":"2026-05-18T04:05:45Z","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":"Depinning of two-dimensional liquid ridges and three-dimensional drops on an inclined substrate is studied within the lubrication approximation. The structures are pinned to wetting heterogeneities arising from variations of the strength of the short-range polar contribution to the disjoining pressure. The case of a periodic array of hydrophobic stripes transverse to the slope is studied in detail using a combination of direct numerical simulation and branch-following techniques. Under appropriate conditions the ridges may either depin and slide downslope as the slope is increased, or first br","authors_text":"Edgar Knobloch, Peter H\\\"anggi, Philippe Beltrame, Uwe Thiele","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2010-09-06T09:29:17Z","title":"Rayleigh and depinning instabilities of forced liquid ridges on heterogeneous substrates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.0998","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":"sha256:39cdeafec6c31d450e2c87fd73d2c4e61cae4faca7bd0a0cf3c400d006edfa6c","target":"record","created_at":"2026-05-18T04:05:45Z","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":"1461ec12e370ef8433019770d28ae7c70a82eeb7b648e96d0cd52327d8131335","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2010-09-06T09:29:17Z","title_canon_sha256":"96c47c5fcf19c5a2300efd381696820441aedf90230608827784d0e52aa6ab78"},"schema_version":"1.0","source":{"id":"1009.0998","kind":"arxiv","version":3}},"canonical_sha256":"71a5bf0205d25fcb28f50940b4b79f5f14803888669bbf8aab42af001b190ed5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71a5bf0205d25fcb28f50940b4b79f5f14803888669bbf8aab42af001b190ed5","first_computed_at":"2026-05-18T04:05:45.965146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:45.965146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cKuNEw6yWHPAjMcbc+qCVtaQMIibAnMWri4MjY4pYPjMwAjNAsIi+PGNce4RLdW5U4TllqAOuy44HMfkuZk1Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:45.965680Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.0998","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39cdeafec6c31d450e2c87fd73d2c4e61cae4faca7bd0a0cf3c400d006edfa6c","sha256:8c0674b99615705ba9373ef3f32632873346285ca90249d38c63079d47181237"],"state_sha256":"b71ced5fbe5ca98d5dc1ead7fc7258b666bc8c03858499ef5c33e8e532a95fd9"}