{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:5NAC7TY535OTJOYJDESRLN33O4","short_pith_number":"pith:5NAC7TY5","schema_version":"1.0","canonical_sha256":"eb402fcf1ddf5d34bb09192515b77b77093114c73295d8b17877899e42e751fd","source":{"kind":"arxiv","id":"1209.3897","version":1},"attestation_state":"computed","paper":{"title":"Time correlations and persistence probability of a Brownian particle in a shear flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"D. Chakraborty","submitted_at":"2012-09-18T10:05:25Z","abstract_excerpt":"In this article, results have been presented for the two-time correlation functions for a free and a harmonically confined Brownian particle in a simple shear flow. For a free Brownian particle, the motion along the direction of shear exhibit two distinct dynamics, with the mean-square-displacement being diffusive at short times while at late times scales as $t^3$. In contrast the cross-correlation $\\la x(t) y(t) \\ra $ scales quadratically for all times. In the case of a harmonically trapped Brownian particle, the mean-square-displacement exhibits a plateau determined by the strength of the co"},"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":"1209.3897","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-09-18T10:05:25Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"dae0b4a71a039b6458cc5c323fe0820c52ea705303ed979c43836f879834f8f0","abstract_canon_sha256":"3ecdd5fb0177b10760b1b2b9f960148517ce51e0b09511449e7ef559e0e9b057"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:53.128535Z","signature_b64":"fXo7qDIJG+dfFPeKnaGuMmZOZ5Px6h3moK8ZwkifjLjUsK4cGelktl0hdZnVRtH0UpWvctCpCsbg5c2O98CqBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb402fcf1ddf5d34bb09192515b77b77093114c73295d8b17877899e42e751fd","last_reissued_at":"2026-05-18T00:15:53.127769Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:53.127769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Time correlations and persistence probability of a Brownian particle in a shear flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"D. Chakraborty","submitted_at":"2012-09-18T10:05:25Z","abstract_excerpt":"In this article, results have been presented for the two-time correlation functions for a free and a harmonically confined Brownian particle in a simple shear flow. For a free Brownian particle, the motion along the direction of shear exhibit two distinct dynamics, with the mean-square-displacement being diffusive at short times while at late times scales as $t^3$. In contrast the cross-correlation $\\la x(t) y(t) \\ra $ scales quadratically for all times. In the case of a harmonically trapped Brownian particle, the mean-square-displacement exhibits a plateau determined by the strength of the co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3897","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":"1209.3897","created_at":"2026-05-18T00:15:53.127892+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.3897v1","created_at":"2026-05-18T00:15:53.127892+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3897","created_at":"2026-05-18T00:15:53.127892+00:00"},{"alias_kind":"pith_short_12","alias_value":"5NAC7TY535OT","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_16","alias_value":"5NAC7TY535OTJOYJ","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_8","alias_value":"5NAC7TY5","created_at":"2026-05-18T12:26:56.085431+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/5NAC7TY535OTJOYJDESRLN33O4","json":"https://pith.science/pith/5NAC7TY535OTJOYJDESRLN33O4.json","graph_json":"https://pith.science/api/pith-number/5NAC7TY535OTJOYJDESRLN33O4/graph.json","events_json":"https://pith.science/api/pith-number/5NAC7TY535OTJOYJDESRLN33O4/events.json","paper":"https://pith.science/paper/5NAC7TY5"},"agent_actions":{"view_html":"https://pith.science/pith/5NAC7TY535OTJOYJDESRLN33O4","download_json":"https://pith.science/pith/5NAC7TY535OTJOYJDESRLN33O4.json","view_paper":"https://pith.science/paper/5NAC7TY5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.3897&json=true","fetch_graph":"https://pith.science/api/pith-number/5NAC7TY535OTJOYJDESRLN33O4/graph.json","fetch_events":"https://pith.science/api/pith-number/5NAC7TY535OTJOYJDESRLN33O4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5NAC7TY535OTJOYJDESRLN33O4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5NAC7TY535OTJOYJDESRLN33O4/action/storage_attestation","attest_author":"https://pith.science/pith/5NAC7TY535OTJOYJDESRLN33O4/action/author_attestation","sign_citation":"https://pith.science/pith/5NAC7TY535OTJOYJDESRLN33O4/action/citation_signature","submit_replication":"https://pith.science/pith/5NAC7TY535OTJOYJDESRLN33O4/action/replication_record"}},"created_at":"2026-05-18T00:15:53.127892+00:00","updated_at":"2026-05-18T00:15:53.127892+00:00"}