{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:6Y75X3KQKS4LJ4T4FALJQPBSYZ","short_pith_number":"pith:6Y75X3KQ","schema_version":"1.0","canonical_sha256":"f63fdbed5054b8b4f27c2816983c32c67a1e25eeb37a3ec3a9c766dd648f81f2","source":{"kind":"arxiv","id":"1706.03321","version":1},"attestation_state":"computed","paper":{"title":"Single Particle Brownian Motion with Solid Friction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Moshe Schwartz, Prasenjit Das, Sanjay Puri","submitted_at":"2017-06-11T08:08:31Z","abstract_excerpt":"We study the Brownian dynamics of a solid particle on a vibrating solid surface. Phenomenologically, the interaction between the two solid surfaces is modeled by solid friction, and the Gaussian white noise models the vibration of the solid surface. The solid friction is proportional to the sign of relative velocity. We derive the Fokker-Planck (FP) equation for the time-dependent probability distribution to find the particle at a given location. We calculate analytically the steady state velocity distribution function, mean-squared velocity and diffusion coefficient in $d$ dimensions. We pres"},"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":"1706.03321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-06-11T08:08:31Z","cross_cats_sorted":[],"title_canon_sha256":"d1bde278e5d07e85cfb9095bfcbb14f3fc3c82507ba17ba78936275f08f0af03","abstract_canon_sha256":"a4f57f5a80f9c21b2246821d97ec8ab79f29d12d900d0d08aa416b83fb528d65"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:23.261948Z","signature_b64":"gPdJgiiqXzVDSWhmXPtAKkmLwRkry9W3tmCxjup9mDd2JWRqiNQyLQGn+0eCzcfTUMnLb/x1w4bznZvzew7SAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f63fdbed5054b8b4f27c2816983c32c67a1e25eeb37a3ec3a9c766dd648f81f2","last_reissued_at":"2026-05-18T00:42:23.261578Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:23.261578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Single Particle Brownian Motion with Solid Friction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Moshe Schwartz, Prasenjit Das, Sanjay Puri","submitted_at":"2017-06-11T08:08:31Z","abstract_excerpt":"We study the Brownian dynamics of a solid particle on a vibrating solid surface. Phenomenologically, the interaction between the two solid surfaces is modeled by solid friction, and the Gaussian white noise models the vibration of the solid surface. The solid friction is proportional to the sign of relative velocity. We derive the Fokker-Planck (FP) equation for the time-dependent probability distribution to find the particle at a given location. We calculate analytically the steady state velocity distribution function, mean-squared velocity and diffusion coefficient in $d$ dimensions. We pres"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03321","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":"1706.03321","created_at":"2026-05-18T00:42:23.261633+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.03321v1","created_at":"2026-05-18T00:42:23.261633+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03321","created_at":"2026-05-18T00:42:23.261633+00:00"},{"alias_kind":"pith_short_12","alias_value":"6Y75X3KQKS4L","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"6Y75X3KQKS4LJ4T4","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"6Y75X3KQ","created_at":"2026-05-18T12:31:03.183658+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/6Y75X3KQKS4LJ4T4FALJQPBSYZ","json":"https://pith.science/pith/6Y75X3KQKS4LJ4T4FALJQPBSYZ.json","graph_json":"https://pith.science/api/pith-number/6Y75X3KQKS4LJ4T4FALJQPBSYZ/graph.json","events_json":"https://pith.science/api/pith-number/6Y75X3KQKS4LJ4T4FALJQPBSYZ/events.json","paper":"https://pith.science/paper/6Y75X3KQ"},"agent_actions":{"view_html":"https://pith.science/pith/6Y75X3KQKS4LJ4T4FALJQPBSYZ","download_json":"https://pith.science/pith/6Y75X3KQKS4LJ4T4FALJQPBSYZ.json","view_paper":"https://pith.science/paper/6Y75X3KQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.03321&json=true","fetch_graph":"https://pith.science/api/pith-number/6Y75X3KQKS4LJ4T4FALJQPBSYZ/graph.json","fetch_events":"https://pith.science/api/pith-number/6Y75X3KQKS4LJ4T4FALJQPBSYZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6Y75X3KQKS4LJ4T4FALJQPBSYZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6Y75X3KQKS4LJ4T4FALJQPBSYZ/action/storage_attestation","attest_author":"https://pith.science/pith/6Y75X3KQKS4LJ4T4FALJQPBSYZ/action/author_attestation","sign_citation":"https://pith.science/pith/6Y75X3KQKS4LJ4T4FALJQPBSYZ/action/citation_signature","submit_replication":"https://pith.science/pith/6Y75X3KQKS4LJ4T4FALJQPBSYZ/action/replication_record"}},"created_at":"2026-05-18T00:42:23.261633+00:00","updated_at":"2026-05-18T00:42:23.261633+00:00"}