{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:JQOBZPOKMJAEOX7PQN2E73NVHV","short_pith_number":"pith:JQOBZPOK","schema_version":"1.0","canonical_sha256":"4c1c1cbdca6240475fef83744fedb53d4740e56bf6cf22b5b81b5be6352021e5","source":{"kind":"arxiv","id":"cond-mat/0703277","version":1},"attestation_state":"computed","paper":{"title":"Is Sharma-Mittal entropy really a step beyond Tsallis and Renyi entropies?","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"E. Akturk, G. B. Bagci, R. Sever","submitted_at":"2007-03-11T23:46:20Z","abstract_excerpt":"We studied the Sharma-Mittal relative entropy and showed that its physical meaning is the free energy difference between the off-equilibrium and equilibrium distributions. Unfortunately, Sharma-Mittal relative entropy may acquire this physical interpretation only in the limiting case when both parameters approach to 1 in which case it approaches Kullback-Leibler entropy. We also note that this is exactly how R\\'{e}nyi relative entropy behaves in the thermostatistical framework thereby suggesting that Sharma-Mittal entropy must be thought to be a step beyond not both Tsallis and R\\'{e}nyi entro"},"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":"cond-mat/0703277","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-03-11T23:46:20Z","cross_cats_sorted":[],"title_canon_sha256":"e4fa58216f618dee7c6033678a2fc172f6a6f93b2c5e369b865fb337367e3b25","abstract_canon_sha256":"f1f46f1ea10d71e63ddc531a9767322f9100b1709a5ae6182ffe489eb56184b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:00:03.830130Z","signature_b64":"AVfnZIw1uxqfTjYu6fd5Wl8hcq1zjBIgvHNBgya7KwKILhK9d5hlzaLELxjOvMSavnYkVO4nuA+21F8V6nZ+Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c1c1cbdca6240475fef83744fedb53d4740e56bf6cf22b5b81b5be6352021e5","last_reissued_at":"2026-07-04T15:00:03.829749Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:00:03.829749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Is Sharma-Mittal entropy really a step beyond Tsallis and Renyi entropies?","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"E. Akturk, G. B. Bagci, R. Sever","submitted_at":"2007-03-11T23:46:20Z","abstract_excerpt":"We studied the Sharma-Mittal relative entropy and showed that its physical meaning is the free energy difference between the off-equilibrium and equilibrium distributions. Unfortunately, Sharma-Mittal relative entropy may acquire this physical interpretation only in the limiting case when both parameters approach to 1 in which case it approaches Kullback-Leibler entropy. We also note that this is exactly how R\\'{e}nyi relative entropy behaves in the thermostatistical framework thereby suggesting that Sharma-Mittal entropy must be thought to be a step beyond not both Tsallis and R\\'{e}nyi entro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0703277","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0703277/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"cond-mat/0703277","created_at":"2026-07-04T15:00:03.829812+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0703277v1","created_at":"2026-07-04T15:00:03.829812+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0703277","created_at":"2026-07-04T15:00:03.829812+00:00"},{"alias_kind":"pith_short_12","alias_value":"JQOBZPOKMJAE","created_at":"2026-07-04T15:00:03.829812+00:00"},{"alias_kind":"pith_short_16","alias_value":"JQOBZPOKMJAEOX7P","created_at":"2026-07-04T15:00:03.829812+00:00"},{"alias_kind":"pith_short_8","alias_value":"JQOBZPOK","created_at":"2026-07-04T15:00:03.829812+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.00723","citing_title":"Effect of Non-Extensive Parameter on Page Curve","ref_index":66,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JQOBZPOKMJAEOX7PQN2E73NVHV","json":"https://pith.science/pith/JQOBZPOKMJAEOX7PQN2E73NVHV.json","graph_json":"https://pith.science/api/pith-number/JQOBZPOKMJAEOX7PQN2E73NVHV/graph.json","events_json":"https://pith.science/api/pith-number/JQOBZPOKMJAEOX7PQN2E73NVHV/events.json","paper":"https://pith.science/paper/JQOBZPOK"},"agent_actions":{"view_html":"https://pith.science/pith/JQOBZPOKMJAEOX7PQN2E73NVHV","download_json":"https://pith.science/pith/JQOBZPOKMJAEOX7PQN2E73NVHV.json","view_paper":"https://pith.science/paper/JQOBZPOK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0703277&json=true","fetch_graph":"https://pith.science/api/pith-number/JQOBZPOKMJAEOX7PQN2E73NVHV/graph.json","fetch_events":"https://pith.science/api/pith-number/JQOBZPOKMJAEOX7PQN2E73NVHV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JQOBZPOKMJAEOX7PQN2E73NVHV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JQOBZPOKMJAEOX7PQN2E73NVHV/action/storage_attestation","attest_author":"https://pith.science/pith/JQOBZPOKMJAEOX7PQN2E73NVHV/action/author_attestation","sign_citation":"https://pith.science/pith/JQOBZPOKMJAEOX7PQN2E73NVHV/action/citation_signature","submit_replication":"https://pith.science/pith/JQOBZPOKMJAEOX7PQN2E73NVHV/action/replication_record"}},"created_at":"2026-07-04T15:00:03.829812+00:00","updated_at":"2026-07-04T15:00:03.829812+00:00"}