{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:KE7AZ7H7KYLSTZMTSNWJ636BQV","short_pith_number":"pith:KE7AZ7H7","schema_version":"1.0","canonical_sha256":"513e0cfcff561729e593936c9f6fc18577817d34cb677280a9e747f0f421b13a","source":{"kind":"arxiv","id":"0908.0081","version":1},"attestation_state":"computed","paper":{"title":"Nonextensive statistics of relativistic ideal gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"R. Chakrabarti, R. Chandrashekar, S.S. Naina Mohammed","submitted_at":"2009-08-01T14:04:46Z","abstract_excerpt":"We obtain the specific heat in the third constraint scenario for a canonical ensemble of a nonextensive extreme relativistic ideal gas in a closed form. The canonical ensemble of N particles in D dimensions is well-defined for the choice of the deformation parameter in the range 0 < q < 1 + 1 / DN. For a relativistic ideal gas with particles of arbitrary mass a perturbative scheme in the nonextensivity parameter (1 - q) is developed by employing an infinite product expansion of the q-exponential, and a direct transformation of the internal energy from the second to the third constraint picture"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0908.0081","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-08-01T14:04:46Z","cross_cats_sorted":[],"title_canon_sha256":"5a9894ccd7e4f63e862a4d770aab521204bd4cb18f341d8b01121dd51a1be5c9","abstract_canon_sha256":"123dd40a83b052ffb9b174858397ac58b7d14e083ce6d04ab41867dccf8328e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:45.473541Z","signature_b64":"k6ODUtkdQPNBnWqdu+8PM3InRY5V4EEPPp2aGIsDb/Ahsn28ZoBVc7IYIX4/2ockq9y408Xq7DYSJSVch+V4Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"513e0cfcff561729e593936c9f6fc18577817d34cb677280a9e747f0f421b13a","last_reissued_at":"2026-05-18T02:12:45.472836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:45.472836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonextensive statistics of relativistic ideal gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"R. Chakrabarti, R. Chandrashekar, S.S. Naina Mohammed","submitted_at":"2009-08-01T14:04:46Z","abstract_excerpt":"We obtain the specific heat in the third constraint scenario for a canonical ensemble of a nonextensive extreme relativistic ideal gas in a closed form. The canonical ensemble of N particles in D dimensions is well-defined for the choice of the deformation parameter in the range 0 < q < 1 + 1 / DN. For a relativistic ideal gas with particles of arbitrary mass a perturbative scheme in the nonextensivity parameter (1 - q) is developed by employing an infinite product expansion of the q-exponential, and a direct transformation of the internal energy from the second to the third constraint picture"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.0081","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0908.0081","created_at":"2026-05-18T02:12:45.472944+00:00"},{"alias_kind":"arxiv_version","alias_value":"0908.0081v1","created_at":"2026-05-18T02:12:45.472944+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.0081","created_at":"2026-05-18T02:12:45.472944+00:00"},{"alias_kind":"pith_short_12","alias_value":"KE7AZ7H7KYLS","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_16","alias_value":"KE7AZ7H7KYLSTZMT","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_8","alias_value":"KE7AZ7H7","created_at":"2026-05-18T12:26:00.592388+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KE7AZ7H7KYLSTZMTSNWJ636BQV","json":"https://pith.science/pith/KE7AZ7H7KYLSTZMTSNWJ636BQV.json","graph_json":"https://pith.science/api/pith-number/KE7AZ7H7KYLSTZMTSNWJ636BQV/graph.json","events_json":"https://pith.science/api/pith-number/KE7AZ7H7KYLSTZMTSNWJ636BQV/events.json","paper":"https://pith.science/paper/KE7AZ7H7"},"agent_actions":{"view_html":"https://pith.science/pith/KE7AZ7H7KYLSTZMTSNWJ636BQV","download_json":"https://pith.science/pith/KE7AZ7H7KYLSTZMTSNWJ636BQV.json","view_paper":"https://pith.science/paper/KE7AZ7H7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0908.0081&json=true","fetch_graph":"https://pith.science/api/pith-number/KE7AZ7H7KYLSTZMTSNWJ636BQV/graph.json","fetch_events":"https://pith.science/api/pith-number/KE7AZ7H7KYLSTZMTSNWJ636BQV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KE7AZ7H7KYLSTZMTSNWJ636BQV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KE7AZ7H7KYLSTZMTSNWJ636BQV/action/storage_attestation","attest_author":"https://pith.science/pith/KE7AZ7H7KYLSTZMTSNWJ636BQV/action/author_attestation","sign_citation":"https://pith.science/pith/KE7AZ7H7KYLSTZMTSNWJ636BQV/action/citation_signature","submit_replication":"https://pith.science/pith/KE7AZ7H7KYLSTZMTSNWJ636BQV/action/replication_record"}},"created_at":"2026-05-18T02:12:45.472944+00:00","updated_at":"2026-05-18T02:12:45.472944+00:00"}