{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:XVYKJRPEMD5UJ3OCCCO7P5LIR2","short_pith_number":"pith:XVYKJRPE","schema_version":"1.0","canonical_sha256":"bd70a4c5e460fb44edc2109df7f5688e82d5dd84151ae6488443bf542eca0991","source":{"kind":"arxiv","id":"0809.3120","version":1},"attestation_state":"computed","paper":{"title":"Fingerprints of Random Flows?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Bernhard Mehlig, Michael Wilkinson, Vlad Bezuglyy","submitted_at":"2008-09-18T09:53:49Z","abstract_excerpt":"We consider the patterns formed by small rod-like objects advected by a random flow in two dimensions. An exact solution indicates that their direction field is non-singular. However, we find from simulations that the direction field of the rods does appear to exhibit singularities. First, ` scar lines' emerge where the rods abruptly change direction by $\\pi$. Later, these scar lines become so narrow that they ` heal over' and disappear, but their ends remain as point singularities, which are of the same type as those seen in fingerprints. We give a theoretical explanation for these observatio"},"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":"0809.3120","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2008-09-18T09:53:49Z","cross_cats_sorted":[],"title_canon_sha256":"9ef576319b79e91941031cb8e1a7fad2ff8e5ef85d474774c3abff8a049a9943","abstract_canon_sha256":"e5db7a6f93a272a213a451d3271279c198333ae9f170f43401ec8a28733dd18a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:34.359286Z","signature_b64":"gP+ljeB/7m1QvyAyF3H8EjATgv31d0aBsTMAnsbkUpZqe+835DFeohon07FNfTB1hCIJvmOUQcWDKP0nY77yAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd70a4c5e460fb44edc2109df7f5688e82d5dd84151ae6488443bf542eca0991","last_reissued_at":"2026-05-18T02:15:34.358609Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:34.358609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fingerprints of Random Flows?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Bernhard Mehlig, Michael Wilkinson, Vlad Bezuglyy","submitted_at":"2008-09-18T09:53:49Z","abstract_excerpt":"We consider the patterns formed by small rod-like objects advected by a random flow in two dimensions. An exact solution indicates that their direction field is non-singular. However, we find from simulations that the direction field of the rods does appear to exhibit singularities. First, ` scar lines' emerge where the rods abruptly change direction by $\\pi$. Later, these scar lines become so narrow that they ` heal over' and disappear, but their ends remain as point singularities, which are of the same type as those seen in fingerprints. We give a theoretical explanation for these observatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.3120","kind":"arxiv","version":1},"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":"0809.3120","created_at":"2026-05-18T02:15:34.358714+00:00"},{"alias_kind":"arxiv_version","alias_value":"0809.3120v1","created_at":"2026-05-18T02:15:34.358714+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.3120","created_at":"2026-05-18T02:15:34.358714+00:00"},{"alias_kind":"pith_short_12","alias_value":"XVYKJRPEMD5U","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"XVYKJRPEMD5UJ3OC","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"XVYKJRPE","created_at":"2026-05-18T12:25:58.018023+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/XVYKJRPEMD5UJ3OCCCO7P5LIR2","json":"https://pith.science/pith/XVYKJRPEMD5UJ3OCCCO7P5LIR2.json","graph_json":"https://pith.science/api/pith-number/XVYKJRPEMD5UJ3OCCCO7P5LIR2/graph.json","events_json":"https://pith.science/api/pith-number/XVYKJRPEMD5UJ3OCCCO7P5LIR2/events.json","paper":"https://pith.science/paper/XVYKJRPE"},"agent_actions":{"view_html":"https://pith.science/pith/XVYKJRPEMD5UJ3OCCCO7P5LIR2","download_json":"https://pith.science/pith/XVYKJRPEMD5UJ3OCCCO7P5LIR2.json","view_paper":"https://pith.science/paper/XVYKJRPE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0809.3120&json=true","fetch_graph":"https://pith.science/api/pith-number/XVYKJRPEMD5UJ3OCCCO7P5LIR2/graph.json","fetch_events":"https://pith.science/api/pith-number/XVYKJRPEMD5UJ3OCCCO7P5LIR2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XVYKJRPEMD5UJ3OCCCO7P5LIR2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XVYKJRPEMD5UJ3OCCCO7P5LIR2/action/storage_attestation","attest_author":"https://pith.science/pith/XVYKJRPEMD5UJ3OCCCO7P5LIR2/action/author_attestation","sign_citation":"https://pith.science/pith/XVYKJRPEMD5UJ3OCCCO7P5LIR2/action/citation_signature","submit_replication":"https://pith.science/pith/XVYKJRPEMD5UJ3OCCCO7P5LIR2/action/replication_record"}},"created_at":"2026-05-18T02:15:34.358714+00:00","updated_at":"2026-05-18T02:15:34.358714+00:00"}