{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:LQGUM7YBVTQWMFP7MWNWRHYZXW","short_pith_number":"pith:LQGUM7YB","schema_version":"1.0","canonical_sha256":"5c0d467f01ace16615ff659b689f19bd9c8232678ce3926b16592446e62b1dc5","source":{"kind":"arxiv","id":"1510.06408","version":2},"attestation_state":"computed","paper":{"title":"On the limiting Markov process of energy exchanges in a rarely interacting ball-piston gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","nlin.CD"],"primary_cat":"math.DS","authors_text":"Domokos Sz\\'asz, Imre P\\'eter T\\'oth, P\\'eter B\\'alint, P\\'eter N\\'andori, Thomas Gilbert","submitted_at":"2015-10-21T20:09:38Z","abstract_excerpt":"We analyse the process of energy exchanges generated by the elastic collisions between a point-particle, confined to a two-dimensional cell with convex boundaries, and a `piston', i.e. a line-segment, which moves back and forth along a one-dimensional interval partially intersecting the cell. This model can be considered as the elementary building block of a spatially extended high-dimensional billiard modeling heat transport in a class of hybrid materials exhibiting the kinetics of gases and spatial structure of solids. Using heuristic arguments and numerical analysis, we argue that, in a reg"},"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":"1510.06408","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-10-21T20:09:38Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"title_canon_sha256":"e1adc4760ada2f08c77901010dcc369498dd60063a46354c70c4457aa9f8c6d4","abstract_canon_sha256":"4bf66620e1df81ba2d4a24dd96905dde45eaef41cd523bb12a440b5cbe050670"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:54.019872Z","signature_b64":"Q4iGzfnknq3klt/RrUSXRnvwl/Jf7WwXvm9navEyEvELaD88MwoQCWTFIaCXxYpxEUbYF+eJsc4F2yA7eToWCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c0d467f01ace16615ff659b689f19bd9c8232678ce3926b16592446e62b1dc5","last_reissued_at":"2026-05-18T01:07:54.019460Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:54.019460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the limiting Markov process of energy exchanges in a rarely interacting ball-piston gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","nlin.CD"],"primary_cat":"math.DS","authors_text":"Domokos Sz\\'asz, Imre P\\'eter T\\'oth, P\\'eter B\\'alint, P\\'eter N\\'andori, Thomas Gilbert","submitted_at":"2015-10-21T20:09:38Z","abstract_excerpt":"We analyse the process of energy exchanges generated by the elastic collisions between a point-particle, confined to a two-dimensional cell with convex boundaries, and a `piston', i.e. a line-segment, which moves back and forth along a one-dimensional interval partially intersecting the cell. This model can be considered as the elementary building block of a spatially extended high-dimensional billiard modeling heat transport in a class of hybrid materials exhibiting the kinetics of gases and spatial structure of solids. Using heuristic arguments and numerical analysis, we argue that, in a reg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06408","kind":"arxiv","version":2},"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":"1510.06408","created_at":"2026-05-18T01:07:54.019517+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.06408v2","created_at":"2026-05-18T01:07:54.019517+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06408","created_at":"2026-05-18T01:07:54.019517+00:00"},{"alias_kind":"pith_short_12","alias_value":"LQGUM7YBVTQW","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"LQGUM7YBVTQWMFP7","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"LQGUM7YB","created_at":"2026-05-18T12:29:29.992203+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/LQGUM7YBVTQWMFP7MWNWRHYZXW","json":"https://pith.science/pith/LQGUM7YBVTQWMFP7MWNWRHYZXW.json","graph_json":"https://pith.science/api/pith-number/LQGUM7YBVTQWMFP7MWNWRHYZXW/graph.json","events_json":"https://pith.science/api/pith-number/LQGUM7YBVTQWMFP7MWNWRHYZXW/events.json","paper":"https://pith.science/paper/LQGUM7YB"},"agent_actions":{"view_html":"https://pith.science/pith/LQGUM7YBVTQWMFP7MWNWRHYZXW","download_json":"https://pith.science/pith/LQGUM7YBVTQWMFP7MWNWRHYZXW.json","view_paper":"https://pith.science/paper/LQGUM7YB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.06408&json=true","fetch_graph":"https://pith.science/api/pith-number/LQGUM7YBVTQWMFP7MWNWRHYZXW/graph.json","fetch_events":"https://pith.science/api/pith-number/LQGUM7YBVTQWMFP7MWNWRHYZXW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LQGUM7YBVTQWMFP7MWNWRHYZXW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LQGUM7YBVTQWMFP7MWNWRHYZXW/action/storage_attestation","attest_author":"https://pith.science/pith/LQGUM7YBVTQWMFP7MWNWRHYZXW/action/author_attestation","sign_citation":"https://pith.science/pith/LQGUM7YBVTQWMFP7MWNWRHYZXW/action/citation_signature","submit_replication":"https://pith.science/pith/LQGUM7YBVTQWMFP7MWNWRHYZXW/action/replication_record"}},"created_at":"2026-05-18T01:07:54.019517+00:00","updated_at":"2026-05-18T01:07:54.019517+00:00"}