{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:3U6H7WFUNKDMHSVTKIMCSA5YPI","short_pith_number":"pith:3U6H7WFU","canonical_record":{"source":{"id":"cond-mat/0212637","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-12-30T21:20:06Z","cross_cats_sorted":[],"title_canon_sha256":"bd749b19e2b9275051750d469df212ac41bc205a3016a62366e76426e2f15144","abstract_canon_sha256":"8d5b6f93482055d478abaa7426957296960b6b3559ba0704f10aff1998cdedb2"},"schema_version":"1.0"},"canonical_sha256":"dd3c7fd8b46a86c3cab352182903b87a0dc4049f9dd57915231820d79caf9c2b","source":{"kind":"arxiv","id":"cond-mat/0212637","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0212637","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0212637v1","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0212637","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"3U6H7WFUNKDM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"3U6H7WFUNKDMHSVT","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"3U6H7WFU","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:3U6H7WFUNKDMHSVTKIMCSA5YPI","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0212637","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-12-30T21:20:06Z","cross_cats_sorted":[],"title_canon_sha256":"bd749b19e2b9275051750d469df212ac41bc205a3016a62366e76426e2f15144","abstract_canon_sha256":"8d5b6f93482055d478abaa7426957296960b6b3559ba0704f10aff1998cdedb2"},"schema_version":"1.0"},"canonical_sha256":"dd3c7fd8b46a86c3cab352182903b87a0dc4049f9dd57915231820d79caf9c2b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:02.194115Z","signature_b64":"QlgfGK9g8K37s5PMKP1+2KszmE2ZynC74uuZPhQ5eSvLrCw8vWYjd/mbdTDNbbDTbOj3Zi6zF+FRE0ic5UzNBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd3c7fd8b46a86c3cab352182903b87a0dc4049f9dd57915231820d79caf9c2b","last_reissued_at":"2026-05-18T01:40:02.193435Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:02.193435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0212637","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3ZUvYz9AAARMgGkeggwWZuyl7GisM+kJ7B8xBOIz0Dyq9Z9rQ8VzPAxeNPIbMWglvV2R3UabVOTY0Wh6l4hdBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:10:34.426505Z"},"content_sha256":"17fe978325d99f697341ef630e9777ce09189f08da812fb00cd95b37c4f4f63d","schema_version":"1.0","event_id":"sha256:17fe978325d99f697341ef630e9777ce09189f08da812fb00cd95b37c4f4f63d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:3U6H7WFUNKDMHSVTKIMCSA5YPI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling Dynamics of a Massive Piston in a Cube Filled With Ideal Gas: Exact Results","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"J. L. Lebowitz, N. Chernov, Ya. Sinai","submitted_at":"2002-12-30T21:20:06Z","abstract_excerpt":"We continue the study of the time evolution of a system consisting of a piston in a cubical container of large size $L$ filled with an ideal gas. The piston has mass $M\\sim L^2$ and undergoes elastic collisions with $N\\sim L^3$ gas particles of mass $m$. In a previous paper, Lebowitz, Piasecki and Sinai considered a scaling regime, with time and space scaled by $L$, in which they argued heuristically that the motion of the piston and the one particle distribution of the gas satisfy autonomous coupled differential equations. Here we state exact results and sketch proofs for this behavior."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0212637","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/B3rR6ksGUtwG7IAfezEfPfQuM2VHOshHwS71bWnAxsnv0/mvbuqTa0itXNHDBfUw7579TGugBWqujO/45AxCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:10:34.426846Z"},"content_sha256":"25e703066d2fba77fdbce8429d863b670c69b44dd3d327ef8fd1e47a1bc85a06","schema_version":"1.0","event_id":"sha256:25e703066d2fba77fdbce8429d863b670c69b44dd3d327ef8fd1e47a1bc85a06"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3U6H7WFUNKDMHSVTKIMCSA5YPI/bundle.json","state_url":"https://pith.science/pith/3U6H7WFUNKDMHSVTKIMCSA5YPI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3U6H7WFUNKDMHSVTKIMCSA5YPI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T08:10:34Z","links":{"resolver":"https://pith.science/pith/3U6H7WFUNKDMHSVTKIMCSA5YPI","bundle":"https://pith.science/pith/3U6H7WFUNKDMHSVTKIMCSA5YPI/bundle.json","state":"https://pith.science/pith/3U6H7WFUNKDMHSVTKIMCSA5YPI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3U6H7WFUNKDMHSVTKIMCSA5YPI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:3U6H7WFUNKDMHSVTKIMCSA5YPI","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":"8d5b6f93482055d478abaa7426957296960b6b3559ba0704f10aff1998cdedb2","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-12-30T21:20:06Z","title_canon_sha256":"bd749b19e2b9275051750d469df212ac41bc205a3016a62366e76426e2f15144"},"schema_version":"1.0","source":{"id":"cond-mat/0212637","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0212637","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0212637v1","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0212637","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"3U6H7WFUNKDM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"3U6H7WFUNKDMHSVT","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"3U6H7WFU","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:25e703066d2fba77fdbce8429d863b670c69b44dd3d327ef8fd1e47a1bc85a06","target":"graph","created_at":"2026-05-18T01:40:02Z","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":"We continue the study of the time evolution of a system consisting of a piston in a cubical container of large size $L$ filled with an ideal gas. The piston has mass $M\\sim L^2$ and undergoes elastic collisions with $N\\sim L^3$ gas particles of mass $m$. In a previous paper, Lebowitz, Piasecki and Sinai considered a scaling regime, with time and space scaled by $L$, in which they argued heuristically that the motion of the piston and the one particle distribution of the gas satisfy autonomous coupled differential equations. Here we state exact results and sketch proofs for this behavior.","authors_text":"J. L. Lebowitz, N. Chernov, Ya. Sinai","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-12-30T21:20:06Z","title":"Scaling Dynamics of a Massive Piston in a Cube Filled With Ideal Gas: Exact Results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0212637","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":"sha256:17fe978325d99f697341ef630e9777ce09189f08da812fb00cd95b37c4f4f63d","target":"record","created_at":"2026-05-18T01:40:02Z","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":"8d5b6f93482055d478abaa7426957296960b6b3559ba0704f10aff1998cdedb2","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-12-30T21:20:06Z","title_canon_sha256":"bd749b19e2b9275051750d469df212ac41bc205a3016a62366e76426e2f15144"},"schema_version":"1.0","source":{"id":"cond-mat/0212637","kind":"arxiv","version":1}},"canonical_sha256":"dd3c7fd8b46a86c3cab352182903b87a0dc4049f9dd57915231820d79caf9c2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd3c7fd8b46a86c3cab352182903b87a0dc4049f9dd57915231820d79caf9c2b","first_computed_at":"2026-05-18T01:40:02.193435Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:02.193435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QlgfGK9g8K37s5PMKP1+2KszmE2ZynC74uuZPhQ5eSvLrCw8vWYjd/mbdTDNbbDTbOj3Zi6zF+FRE0ic5UzNBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:02.194115Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0212637","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17fe978325d99f697341ef630e9777ce09189f08da812fb00cd95b37c4f4f63d","sha256:25e703066d2fba77fdbce8429d863b670c69b44dd3d327ef8fd1e47a1bc85a06"],"state_sha256":"5b8d261f590fbc5e0a5f813bbe0083bfb9caed723a480a5ac4413d2c4b431ac8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DfDT5CC2LZtlQVkyxKT8XrlM62XS6RWm0IxcrdGPw1HTYE+TiT84KK3FWshBU41BHouGF8zcZvqaVO7a2MphDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T08:10:34.428889Z","bundle_sha256":"2017385eec8ca62277cfff6b36d17782cbd36243d37246d8d0f5e230feb68808"}}