{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TLCT6EHJUS2XNU7JNF76NAGKA6","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":"b38add0fa281048151100e72f6b5c9ef51f9dffe0ad4a8a2fd75c7cb9de74bad","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-08-16T14:33:39Z","title_canon_sha256":"bc45a54fe2d3b51436e5713099d50ecb13a541abda1fa4c922361a4f177834d8"},"schema_version":"1.0","source":{"id":"1008.2670","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2670","created_at":"2026-05-18T04:36:59Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2670v3","created_at":"2026-05-18T04:36:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2670","created_at":"2026-05-18T04:36:59Z"},{"alias_kind":"pith_short_12","alias_value":"TLCT6EHJUS2X","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"TLCT6EHJUS2XNU7J","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"TLCT6EHJ","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:2b510d2d69a500c9334b1d31d135573e8920a3d1257f8bd89fab169fc066bf8a","target":"graph","created_at":"2026-05-18T04:36:59Z","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 investigate the statistical properties of an over-damped Brownian particle that is trapped by a harmonic potential and simultaneously exposed to a linear shear flow or to a plane Poiseuille flow. Its probability distribution is determined via the corresponding Smoluchowski equation, which is solved analytically for a linear shear flow. In the case of a plane Poiseuille flow, analytical approximations for the distribution are obtained by a perturbation analysis and they are substantiated by numerical results. There is a good agreement between the two approaches for a wide range of parameters","authors_text":"Jochen Bammert, Walter Zimmermann","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-08-16T14:33:39Z","title":"The probability distribution of a trapped Brownian particle in plane shear flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2670","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":"sha256:37451c93b0ae89a01a89f4fe21598592bb14d8254398a94bdf93fcaf5d756073","target":"record","created_at":"2026-05-18T04:36:59Z","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":"b38add0fa281048151100e72f6b5c9ef51f9dffe0ad4a8a2fd75c7cb9de74bad","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-08-16T14:33:39Z","title_canon_sha256":"bc45a54fe2d3b51436e5713099d50ecb13a541abda1fa4c922361a4f177834d8"},"schema_version":"1.0","source":{"id":"1008.2670","kind":"arxiv","version":3}},"canonical_sha256":"9ac53f10e9a4b576d3e9697fe680ca07baa44ab043ed55d3e048bc30c7cf4b50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ac53f10e9a4b576d3e9697fe680ca07baa44ab043ed55d3e048bc30c7cf4b50","first_computed_at":"2026-05-18T04:36:59.039983Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:59.039983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MD5Nz4NowJaxcwzK1AGEiLtYIKfkI+ZGpeDq+rCc6Wg3P8CwkJRU7WCKZouDI7WqoJmTWbk39W/aVYVmIL0xCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:59.040539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.2670","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37451c93b0ae89a01a89f4fe21598592bb14d8254398a94bdf93fcaf5d756073","sha256:2b510d2d69a500c9334b1d31d135573e8920a3d1257f8bd89fab169fc066bf8a"],"state_sha256":"ccf192b0e5ed4c99f23ac9a1b07e6a4bcdd6285d9818f8d799f1e5875a30c8d5"}