{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WC2BIHFVY6MOF2IRK2WW7ONFTR","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":"931cd53da1e1bfad7c076bf4fe8a1a787913cc162d40d15321dfbce25577c7e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-12-11T07:28:58Z","title_canon_sha256":"5517a285e0b723fbf3e1772602f6e37d412a9c9cdc020109aa0bee23ee44f638"},"schema_version":"1.0","source":{"id":"1612.03379","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.03379","created_at":"2026-05-18T00:53:24Z"},{"alias_kind":"arxiv_version","alias_value":"1612.03379v1","created_at":"2026-05-18T00:53:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.03379","created_at":"2026-05-18T00:53:24Z"},{"alias_kind":"pith_short_12","alias_value":"WC2BIHFVY6MO","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WC2BIHFVY6MOF2IR","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WC2BIHFV","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:4dc8dff88cd25c233fa57898f9402dcc80761a0dd5fe91a5bfa0f4eecbe87b1a","target":"graph","created_at":"2026-05-18T00:53:24Z","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 study some statistical properties for the behavior of the average squared velocity -- hence the temperature -- for an ensemble of classical particles moving in a billiard whose boundary is time dependent. We assume the collisions of the particles with the boundary of the billiard are inelastic leading the average squared velocity to reach a steady state dynamics for large enough time. The description of the stationary state is made by using two different approaches: (i) heat transfer motivated by the Fourier law and, (ii) billiard dynamics using either numerical simulations and theoretical ","authors_text":"Diego F. M. Oliveira, Edson D. Leonel, Luiz Antonio Barreiro, Marcus Vinicius Camillo Galia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-12-11T07:28:58Z","title":"Thermodynamics of a time dependent and dissipative oval billiard: a heat transfer and billiard approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.03379","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:cfd0a78e37bf4c2a74ca6efb5b39a9d1774b62c44bc436e5a025727d5df022f8","target":"record","created_at":"2026-05-18T00:53:24Z","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":"931cd53da1e1bfad7c076bf4fe8a1a787913cc162d40d15321dfbce25577c7e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-12-11T07:28:58Z","title_canon_sha256":"5517a285e0b723fbf3e1772602f6e37d412a9c9cdc020109aa0bee23ee44f638"},"schema_version":"1.0","source":{"id":"1612.03379","kind":"arxiv","version":1}},"canonical_sha256":"b0b4141cb5c798e2e91156ad6fb9a59c4a332230f25c1e59b7a3691c958c7ebe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0b4141cb5c798e2e91156ad6fb9a59c4a332230f25c1e59b7a3691c958c7ebe","first_computed_at":"2026-05-18T00:53:24.991312Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:24.991312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5lZ7q5p6iJJsN8haPYtTBFB/MBB7eDjJzfgCDJ7H7kShM5P4SOrLpsHlufTyUGvSoyfxd215VHW0slFMwZUvCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:24.991698Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.03379","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cfd0a78e37bf4c2a74ca6efb5b39a9d1774b62c44bc436e5a025727d5df022f8","sha256:4dc8dff88cd25c233fa57898f9402dcc80761a0dd5fe91a5bfa0f4eecbe87b1a"],"state_sha256":"dc63fcd0d638a5c78f93052256b903ed1ded32accb307b910bf4fe761575d787"}