{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YQVTMJR6YZX6JLKKFOXPZCPCQS","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":"4bc54007b296ebf69efccfb253e621ba947c79809900b75108bd7e6b4129ce81","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-12-26T07:09:54Z","title_canon_sha256":"5972e168961f678a9cce0df46e35cf6b489d359b1ee1939dd4a1745bff11a061"},"schema_version":"1.0","source":{"id":"1212.6127","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6127","created_at":"2026-05-18T03:09:12Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6127v4","created_at":"2026-05-18T03:09:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6127","created_at":"2026-05-18T03:09:12Z"},{"alias_kind":"pith_short_12","alias_value":"YQVTMJR6YZX6","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YQVTMJR6YZX6JLKK","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YQVTMJR6","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:7eb1081ce27b491ab4071a9d4d01b8f421529ea7985eb5a554a98039ab88d76a","target":"graph","created_at":"2026-05-18T03:09:12Z","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 discuss the flow past a flat heterogeneous solid surface decorated by slipping stripes. The spatially varying slip length, $b(y)$, is assumed to be small compared to the scale of the heterogeneities, $L$, but finite. For such \"weakly\" slipping surfaces, earlier analyses have predicted that the effective slip length is simply given by the surface-averaged slip length, which implies that the effective slip-length tensor becomes isotropic. Here we show that a different scenario is expected if the local slip length has step-like jumps at the edges of slipping heterogeneities. In this case, the ","authors_text":"Evgeny S. Asmolov, Friederike Schmid, Jiajia Zhou, Olga I. Vinogradova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-12-26T07:09:54Z","title":"Effective slip-length tensor for a flow over weakly slipping stripes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6127","kind":"arxiv","version":4},"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":"sha256:358498dc4424c1c4e6c7455bb45374a2132fecfa3189a14d83e31e38b4eac505","target":"record","created_at":"2026-05-18T03:09:12Z","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":"4bc54007b296ebf69efccfb253e621ba947c79809900b75108bd7e6b4129ce81","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-12-26T07:09:54Z","title_canon_sha256":"5972e168961f678a9cce0df46e35cf6b489d359b1ee1939dd4a1745bff11a061"},"schema_version":"1.0","source":{"id":"1212.6127","kind":"arxiv","version":4}},"canonical_sha256":"c42b36263ec66fe4ad4a2baefc89e284bf7d4332ef11110234002d39a6b3cb7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c42b36263ec66fe4ad4a2baefc89e284bf7d4332ef11110234002d39a6b3cb7b","first_computed_at":"2026-05-18T03:09:12.941103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:12.941103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nLmsVCfxGgKxZPEhLdqouDqA8OfwURa25P0WXIDJZ9bBtaZWjqGb5lm6Zy7ogxd/OWESdqluFEJ0dlAsT/SQAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:12.941590Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.6127","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:358498dc4424c1c4e6c7455bb45374a2132fecfa3189a14d83e31e38b4eac505","sha256:7eb1081ce27b491ab4071a9d4d01b8f421529ea7985eb5a554a98039ab88d76a"],"state_sha256":"871b85b6d028f4ba8ffe831daae9dcc514dbd43290f55e9747cdf252f5ffaf86"}