{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:UVJRKDFMFBAGH5AQDEF2YXQGU2","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":"6c127a954e87fae902c19716b786eb7afc4f501967992e9ce311b4b880b49b22","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"cond-mat","submitted_at":"1996-06-24T11:49:54Z","title_canon_sha256":"ef1043b3a63a492a1f6059975919c8f50d9a3b2d491319e5a6374c3b7422130f"},"schema_version":"1.0","source":{"id":"cond-mat/9606165","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9606165","created_at":"2026-07-04T16:00:48Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9606165v2","created_at":"2026-07-04T16:00:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9606165","created_at":"2026-07-04T16:00:48Z"},{"alias_kind":"pith_short_12","alias_value":"UVJRKDFMFBAG","created_at":"2026-07-04T16:00:48Z"},{"alias_kind":"pith_short_16","alias_value":"UVJRKDFMFBAGH5AQ","created_at":"2026-07-04T16:00:48Z"},{"alias_kind":"pith_short_8","alias_value":"UVJRKDFM","created_at":"2026-07-04T16:00:48Z"}],"graph_snapshots":[{"event_id":"sha256:d530f3abc1fddaf9c7b8beba209d4df58b4355f986feec700bc189e43832ba57","target":"graph","created_at":"2026-07-04T16:00:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/9606165/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analytically calculate some thermodynamic quantities of an ideal $g$-on gas obeying generalized exclusion statistics. We show that the specific heat of a $g$-on gas ($g \\neq 0$) vanishes linearly in any dimension as $T \\to 0$ when the particle number is conserved and exhibits an interesting dual symmetry that relates the particle-statistics at $g$ to the hole-statistics at $1/g$ at low temperatures. We derive the complete solution for the cluster coefficients $b_l(g)$ as a function of Haldane's statistical interaction $g$ in $D$ dimensions. We also find that the cluster coefficients $b_l(g)","authors_text":"Bum-Hoon Lee, Chanyong Park, Hyun Seok Yang","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1996-06-24T11:49:54Z","title":"Thermodynamic Properties of Generalized Exclusion Statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9606165","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":"sha256:933bc0dacc5a141db5805af071ee70d1a2e4cdd2d2643a2baae8b01b0596f18f","target":"record","created_at":"2026-07-04T16:00:48Z","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":"6c127a954e87fae902c19716b786eb7afc4f501967992e9ce311b4b880b49b22","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"cond-mat","submitted_at":"1996-06-24T11:49:54Z","title_canon_sha256":"ef1043b3a63a492a1f6059975919c8f50d9a3b2d491319e5a6374c3b7422130f"},"schema_version":"1.0","source":{"id":"cond-mat/9606165","kind":"arxiv","version":2}},"canonical_sha256":"a553150cac284063f410190bac5e06a69ee297d07e46937655d09897343bec34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a553150cac284063f410190bac5e06a69ee297d07e46937655d09897343bec34","first_computed_at":"2026-07-04T16:00:48.117924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:00:48.117924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"beJIumm/hL48OfYjBPXPzoAXxtAqLslsiROERtuGKiiEgCOeyMzQGtsMan6Df5jUuIlCDt2Dx0YUr0zD9GpJDg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:00:48.118261Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9606165","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:933bc0dacc5a141db5805af071ee70d1a2e4cdd2d2643a2baae8b01b0596f18f","sha256:d530f3abc1fddaf9c7b8beba209d4df58b4355f986feec700bc189e43832ba57"],"state_sha256":"0642cfb4edbfb7415f07d7dc35d8d1efe29285abe1855e732027d2ad976cc08a"}