{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:HCA6ELEBT34RCZYX6KCY2ZMYN4","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":"543109f8295fb94f9727e1eca7717af2b1b1456a5f61d73e1fbdd97c1cccadf2","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2005-09-19T17:36:26Z","title_canon_sha256":"08371c831f83f07c75378953fe92c214e1741f3a764bc29ef08007d15048d144"},"schema_version":"1.0","source":{"id":"cond-mat/0509493","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0509493","created_at":"2026-05-18T01:39:49Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0509493v1","created_at":"2026-05-18T01:39:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0509493","created_at":"2026-05-18T01:39:49Z"},{"alias_kind":"pith_short_12","alias_value":"HCA6ELEBT34R","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"HCA6ELEBT34RCZYX","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"HCA6ELEB","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:63b2f2a7ce1f0ae7ed60d9ad4ee145145e49563c0af528da214ef44085947f3c","target":"graph","created_at":"2026-05-18T01:39:49Z","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":"The dynamics of a tracer particle in a stationary driven granular gas is investigated. We show how to transform the linear Boltzmann equation describing the dynamics of the tracer into a master equation for a continuous Markov process. The transition rates depend upon the stationary velocity distribution of the gas. When the gas has a Gaussian velocity probability distribution function (pdf), the stationary velocity pdf of the tracer is Gaussian with a lower temperature and satisfies detailed balance for any value of the restitution coefficient $\\alpha$. As soon as the velocity pdf of the gas ","authors_text":"Andrea Puglisi, Emmanuel Trizac, Frederic van Wijland, Paolo Visco","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.soft","submitted_at":"2005-09-19T17:36:26Z","title":"Dynamics of a tracer granular particle as a non-equilibrium Markov process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0509493","kind":"arxiv","version":1},"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:b33686f489aa1a2244ba8bf090209d8d5c3a94cc90bfed6ea39ebb69da6d6dc2","target":"record","created_at":"2026-05-18T01:39:49Z","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":"543109f8295fb94f9727e1eca7717af2b1b1456a5f61d73e1fbdd97c1cccadf2","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2005-09-19T17:36:26Z","title_canon_sha256":"08371c831f83f07c75378953fe92c214e1741f3a764bc29ef08007d15048d144"},"schema_version":"1.0","source":{"id":"cond-mat/0509493","kind":"arxiv","version":1}},"canonical_sha256":"3881e22c819ef9116717f2858d65986f2e509db074641c035b934c105193eff2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3881e22c819ef9116717f2858d65986f2e509db074641c035b934c105193eff2","first_computed_at":"2026-05-18T01:39:49.972703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:49.972703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y+MrV5ZqX1oTil5cNDGS6piUvS1YxzOLxWKfH/hlYQgP192gCwJ+soKs9AFAowbAT7yzmlYeAZzkrdNWsiEyDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:49.973417Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0509493","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b33686f489aa1a2244ba8bf090209d8d5c3a94cc90bfed6ea39ebb69da6d6dc2","sha256:63b2f2a7ce1f0ae7ed60d9ad4ee145145e49563c0af528da214ef44085947f3c"],"state_sha256":"8617693ba9ecd1b997507ae1f73e5e4acc97d2fa5a0cf5d0386b701702587b58"}