{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:4A3JHC5ET6N6ZNFWOZPGAFZBD3","short_pith_number":"pith:4A3JHC5E","schema_version":"1.0","canonical_sha256":"e036938ba49f9becb4b6765e6017211ece0176649df595fa7b155fd2bc78d050","source":{"kind":"arxiv","id":"1209.4276","version":1},"attestation_state":"computed","paper":{"title":"Intermediate regimes in granular Brownian motion: Superdiffusion and subdiffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Anna Bodrova, Awadhesh Kumar Dubey, Nikolai Brilliantov, Sanjay Puri","submitted_at":"2012-09-19T15:15:30Z","abstract_excerpt":"Brownian motion in a granular gas in a homogeneous cooling state is studied theoretically and by means of molecular dynamics. We use the simplest first-principle model for the impact-velocity dependent restitution coefficient, as it follows for the model of viscoelastic spheres. We reveal that for a wide range of initial conditions the ratio of granular temperatures of Brownian and bath particles demonstrates complicated non-monotonous behavior, which results in transition between different regimes of Brownian dynamics: It starts from the ballistic motion, switches later to superballistic one "},"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":"1209.4276","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-09-19T15:15:30Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"d86d4eb6872831b3fb8ff3cb2087623eb12bdffdcced57a1e6fbea8f8ef481e8","abstract_canon_sha256":"f978eb6a965ddaef7b7614c297664c1b9c5d7e9818d9b3f21300bf78d3cfc956"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:21.043443Z","signature_b64":"DQicgyUOfPNO5x+9jC8xukzdLGa5PQ/KWXqi8+VGi9IQFL+9bEolVOK8wryza4ZWpxFqmgoY4p8Mq7KUZybfAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e036938ba49f9becb4b6765e6017211ece0176649df595fa7b155fd2bc78d050","last_reissued_at":"2026-05-18T01:54:21.042827Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:21.042827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Intermediate regimes in granular Brownian motion: Superdiffusion and subdiffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Anna Bodrova, Awadhesh Kumar Dubey, Nikolai Brilliantov, Sanjay Puri","submitted_at":"2012-09-19T15:15:30Z","abstract_excerpt":"Brownian motion in a granular gas in a homogeneous cooling state is studied theoretically and by means of molecular dynamics. We use the simplest first-principle model for the impact-velocity dependent restitution coefficient, as it follows for the model of viscoelastic spheres. We reveal that for a wide range of initial conditions the ratio of granular temperatures of Brownian and bath particles demonstrates complicated non-monotonous behavior, which results in transition between different regimes of Brownian dynamics: It starts from the ballistic motion, switches later to superballistic one "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4276","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":"1209.4276","created_at":"2026-05-18T01:54:21.042917+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.4276v1","created_at":"2026-05-18T01:54:21.042917+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4276","created_at":"2026-05-18T01:54:21.042917+00:00"},{"alias_kind":"pith_short_12","alias_value":"4A3JHC5ET6N6","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4A3JHC5ET6N6ZNFW","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4A3JHC5E","created_at":"2026-05-18T12:26:53.410803+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/4A3JHC5ET6N6ZNFWOZPGAFZBD3","json":"https://pith.science/pith/4A3JHC5ET6N6ZNFWOZPGAFZBD3.json","graph_json":"https://pith.science/api/pith-number/4A3JHC5ET6N6ZNFWOZPGAFZBD3/graph.json","events_json":"https://pith.science/api/pith-number/4A3JHC5ET6N6ZNFWOZPGAFZBD3/events.json","paper":"https://pith.science/paper/4A3JHC5E"},"agent_actions":{"view_html":"https://pith.science/pith/4A3JHC5ET6N6ZNFWOZPGAFZBD3","download_json":"https://pith.science/pith/4A3JHC5ET6N6ZNFWOZPGAFZBD3.json","view_paper":"https://pith.science/paper/4A3JHC5E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.4276&json=true","fetch_graph":"https://pith.science/api/pith-number/4A3JHC5ET6N6ZNFWOZPGAFZBD3/graph.json","fetch_events":"https://pith.science/api/pith-number/4A3JHC5ET6N6ZNFWOZPGAFZBD3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4A3JHC5ET6N6ZNFWOZPGAFZBD3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4A3JHC5ET6N6ZNFWOZPGAFZBD3/action/storage_attestation","attest_author":"https://pith.science/pith/4A3JHC5ET6N6ZNFWOZPGAFZBD3/action/author_attestation","sign_citation":"https://pith.science/pith/4A3JHC5ET6N6ZNFWOZPGAFZBD3/action/citation_signature","submit_replication":"https://pith.science/pith/4A3JHC5ET6N6ZNFWOZPGAFZBD3/action/replication_record"}},"created_at":"2026-05-18T01:54:21.042917+00:00","updated_at":"2026-05-18T01:54:21.042917+00:00"}