{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:SL2P4A3JXH2Q2VSVLVCUNDONBV","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":"99ab26323279f572875acf7fc5acdec8a78fbe58a33a76e3d5f2939dfd39f245","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-03-25T11:37:58Z","title_canon_sha256":"d65c5a7faca024e497cf21e896ab4ca254782a80cc95210e424d9572b2c2d600"},"schema_version":"1.0","source":{"id":"0903.4304","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.4304","created_at":"2026-05-18T04:39:28Z"},{"alias_kind":"arxiv_version","alias_value":"0903.4304v3","created_at":"2026-05-18T04:39:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.4304","created_at":"2026-05-18T04:39:28Z"},{"alias_kind":"pith_short_12","alias_value":"SL2P4A3JXH2Q","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"SL2P4A3JXH2Q2VSV","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"SL2P4A3J","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:e1593da23390b34952ba6b09303bb0e4c97075f5bee45d12c59f115dcc5ca8ca","target":"graph","created_at":"2026-05-18T04:39:28Z","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":"Small organisms (e.g., bacteria) and artificial microswimmers move due to a combination of active swimming and passive Brownian motion. Considering a simplified linear three-sphere swimmer, we study how the swimmer size regulates the interplay between self-driven and diffusive behavior at low Reynolds number. Starting from the Kirkwood-Smoluchowski equation and its corresponding Langevin equation, we derive formulas for the orientation correlation time, the mean velocity and the mean square displacement in three space dimensions. The validity of the analytical results is illustrated through nu","authors_text":"Irwin M. Zaid, J\\\"orn Dunkel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-03-25T11:37:58Z","title":"Noisy swimming at low Reynolds numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.4304","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:e537a2b45d101c6fd3415f5c0d878d619e58b3d16cc6f15f80244469f71285c3","target":"record","created_at":"2026-05-18T04:39:28Z","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":"99ab26323279f572875acf7fc5acdec8a78fbe58a33a76e3d5f2939dfd39f245","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-03-25T11:37:58Z","title_canon_sha256":"d65c5a7faca024e497cf21e896ab4ca254782a80cc95210e424d9572b2c2d600"},"schema_version":"1.0","source":{"id":"0903.4304","kind":"arxiv","version":3}},"canonical_sha256":"92f4fe0369b9f50d56555d45468dcd0d5a40b8e894977ff01d6f3baca18a1814","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92f4fe0369b9f50d56555d45468dcd0d5a40b8e894977ff01d6f3baca18a1814","first_computed_at":"2026-05-18T04:39:28.922531Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:28.922531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GjTu/f681AfDc9599V/63YDjRkKJu4I5AgaEtgr9A+rwJU6d2axdLdi24BWE8MWeOlz4UH6MZs9PtQ2lK55BCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:28.922972Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.4304","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e537a2b45d101c6fd3415f5c0d878d619e58b3d16cc6f15f80244469f71285c3","sha256:e1593da23390b34952ba6b09303bb0e4c97075f5bee45d12c59f115dcc5ca8ca"],"state_sha256":"bc085043fa919209601576345df7298741bdad8555e22c3595725c93549b6c5a"}