{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:H2J5I4VYYKSEXL7BKLI6OYWTHL","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":"7251341f104aa900c3e280a50c018624f121323c106c68d941cac67ce52f0972","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-02-24T15:40:57Z","title_canon_sha256":"ea820b01ccac156018de15c338f566d1d2db8cfbcf4be83c175df1e8c79581ac"},"schema_version":"1.0","source":{"id":"1502.07309","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07309","created_at":"2026-05-18T01:20:11Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07309v2","created_at":"2026-05-18T01:20:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07309","created_at":"2026-05-18T01:20:11Z"},{"alias_kind":"pith_short_12","alias_value":"H2J5I4VYYKSE","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"H2J5I4VYYKSEXL7B","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"H2J5I4VY","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:7ded5e77faf1f2cb7432aad5dee137c87fff864aaa7f25091b2eae62b7316d8f","target":"graph","created_at":"2026-05-18T01:20:11Z","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":"An ideal Maxwell-Boltzmann gas confined in various rectangular nano domains is considered under quantum size effects. Thermodynamic quantities are calculated from their relations with partition function which consists of triple infinite summations over momentum states in each direction. To get analytical expressions, summations are converted to integrals for macro systems by continuum approximation which fails at nanoscales. To avoid both from the numerical calculation of summations and the failure of their integral approximations at nanoscale, a method which gives an analytical expression for","authors_text":"Alhun Aydin, Altug Sisman","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-02-24T15:40:57Z","title":"Dimensional transitions in thermodynamic properties of ideal Maxwell-Boltzmann gases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07309","kind":"arxiv","version":2},"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":"sha256:96860a715fa1e79196018a8e2d9342547d7f2ad64e1ee386ab9a06b8a54f0a63","target":"record","created_at":"2026-05-18T01:20:11Z","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":"7251341f104aa900c3e280a50c018624f121323c106c68d941cac67ce52f0972","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-02-24T15:40:57Z","title_canon_sha256":"ea820b01ccac156018de15c338f566d1d2db8cfbcf4be83c175df1e8c79581ac"},"schema_version":"1.0","source":{"id":"1502.07309","kind":"arxiv","version":2}},"canonical_sha256":"3e93d472b8c2a44bafe152d1e762d33af82f32c6f64d21ac8f52381d04067ea0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e93d472b8c2a44bafe152d1e762d33af82f32c6f64d21ac8f52381d04067ea0","first_computed_at":"2026-05-18T01:20:11.995823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:11.995823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RijsZXr6uL/Ob6T517gkRQbRnO6iHSiIVCwiorMLCUOZNgJa7qGH5YXxdvU9NyKP/wzqVJW+Nj229+hBAekeDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:11.996552Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.07309","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96860a715fa1e79196018a8e2d9342547d7f2ad64e1ee386ab9a06b8a54f0a63","sha256:7ded5e77faf1f2cb7432aad5dee137c87fff864aaa7f25091b2eae62b7316d8f"],"state_sha256":"d2047c4af25dea422688fe853393cff5f2474e99ef130b2d912380524cd94468"}