{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GOA5NYB5W77S3QXSGQZQCYOWKI","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":"0b147b369d24426c4453696a7a072a187099f6372988f8f5015ad80f48959b2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-03-18T10:20:39Z","title_canon_sha256":"531fccdbeca63ac7cf4b735d62628453bd02cd559182ecbb3927f79c188da257"},"schema_version":"1.0","source":{"id":"1603.05817","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05817","created_at":"2026-05-18T01:02:44Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05817v3","created_at":"2026-05-18T01:02:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05817","created_at":"2026-05-18T01:02:44Z"},{"alias_kind":"pith_short_12","alias_value":"GOA5NYB5W77S","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GOA5NYB5W77S3QXS","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GOA5NYB5","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:d2e887eaab5714bf869c15035c68fe603b6bddbb2fdea9a0672902dddeb43b49","target":"graph","created_at":"2026-05-18T01:02:44Z","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":"Despite its historical importance, a perfect gas enclosed by a pistons and in contact with a thermal reservoirs is a system still largely under study. Its thermodynamic properties are not yet well understood when driven under non-equilibrium conditions. In particular, analytic formulas that describe the heat exchanged with the reservoir are rare. In this paper we prove a power series expansions for the heat when both the external force and the reservoir temperature are slowly varying over time but the overall process is not quasi-static. To do so, we use the dynamical equations from [Cerino \\e","authors_text":"D. Chiuchi\\`u, G. Gubbiotti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-03-18T10:20:39Z","title":"Thermodynamics of slow solutions to the Gas-Piston equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05817","kind":"arxiv","version":3},"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:ee6ecbfcdb14e3078a7afed411192d15b279534e9de8b9f8cc0c18e9d1ee8eb1","target":"record","created_at":"2026-05-18T01:02:44Z","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":"0b147b369d24426c4453696a7a072a187099f6372988f8f5015ad80f48959b2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-03-18T10:20:39Z","title_canon_sha256":"531fccdbeca63ac7cf4b735d62628453bd02cd559182ecbb3927f79c188da257"},"schema_version":"1.0","source":{"id":"1603.05817","kind":"arxiv","version":3}},"canonical_sha256":"3381d6e03db7ff2dc2f234330161d65238106c1971b83e108ba67c87405afbad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3381d6e03db7ff2dc2f234330161d65238106c1971b83e108ba67c87405afbad","first_computed_at":"2026-05-18T01:02:44.882806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:44.882806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y7oGaTuK79wD/c3FiNXY2GkYc+E9nduefUsD34r++i9+Y/pQFR9SRmNQB0hdHyxTVcSWv9oWiM+ca6stkHUXBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:44.883182Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.05817","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee6ecbfcdb14e3078a7afed411192d15b279534e9de8b9f8cc0c18e9d1ee8eb1","sha256:d2e887eaab5714bf869c15035c68fe603b6bddbb2fdea9a0672902dddeb43b49"],"state_sha256":"d7cb9bec5579ab0e2719daa7d0e57bfa97f431a8ff1e760912856a6da8a1ce97"}