{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:27RS2BP5G2MDNSXADEPFDDKBGX","short_pith_number":"pith:27RS2BP5","schema_version":"1.0","canonical_sha256":"d7e32d05fd369836cae0191e518d4135c2a7dd22ba7449f9e570371467f22d05","source":{"kind":"arxiv","id":"1610.06596","version":1},"attestation_state":"computed","paper":{"title":"H-theorem and Thermodynamics for generalized entropies that depend only on the probability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Gil-Villegas, J. Torres-Arenas, Octavio Obreg\\'on","submitted_at":"2016-10-20T20:23:33Z","abstract_excerpt":"We consider a previously proposed non-extensive statistical mechanics in which the entropy depends only on the probability, this was obtained from a f(\\beta) distribution and its corresponding Boltzmann factor. We show that the first term correcting the usual entropy also arises from several f(\\beta) distributions, we also construct the corresponding H-function and demonstrate that a generalized H-theorem is fulfilled. Furthermore, expressing this H-function as function of the simplest Maxwellian state we find, up to a first approximation some modified thermodynamic quantities for an ideal gas"},"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":"1610.06596","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-20T20:23:33Z","cross_cats_sorted":[],"title_canon_sha256":"9c719122d239c768d0be84a64eb74dfe42cbc0e4dce1f12c3d229b05447f6b1d","abstract_canon_sha256":"4d48699cb3da32e2d1fec0845aeb03908bc9a8d88294fe115ef3a3ce9197133e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:37.278299Z","signature_b64":"VJUWOgLisdFQti9cLKv5G5ybA5aS42+oI0dsV4bkRqX+luEmWNuRFBfbXgyM/RGOgx4ktMMxw+X+YAperw8EAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7e32d05fd369836cae0191e518d4135c2a7dd22ba7449f9e570371467f22d05","last_reissued_at":"2026-05-18T01:01:37.277722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:37.277722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"H-theorem and Thermodynamics for generalized entropies that depend only on the probability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Gil-Villegas, J. Torres-Arenas, Octavio Obreg\\'on","submitted_at":"2016-10-20T20:23:33Z","abstract_excerpt":"We consider a previously proposed non-extensive statistical mechanics in which the entropy depends only on the probability, this was obtained from a f(\\beta) distribution and its corresponding Boltzmann factor. We show that the first term correcting the usual entropy also arises from several f(\\beta) distributions, we also construct the corresponding H-function and demonstrate that a generalized H-theorem is fulfilled. Furthermore, expressing this H-function as function of the simplest Maxwellian state we find, up to a first approximation some modified thermodynamic quantities for an ideal gas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06596","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":"1610.06596","created_at":"2026-05-18T01:01:37.277826+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.06596v1","created_at":"2026-05-18T01:01:37.277826+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06596","created_at":"2026-05-18T01:01:37.277826+00:00"},{"alias_kind":"pith_short_12","alias_value":"27RS2BP5G2MD","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"27RS2BP5G2MDNSXA","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"27RS2BP5","created_at":"2026-05-18T12:29:52.810259+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/27RS2BP5G2MDNSXADEPFDDKBGX","json":"https://pith.science/pith/27RS2BP5G2MDNSXADEPFDDKBGX.json","graph_json":"https://pith.science/api/pith-number/27RS2BP5G2MDNSXADEPFDDKBGX/graph.json","events_json":"https://pith.science/api/pith-number/27RS2BP5G2MDNSXADEPFDDKBGX/events.json","paper":"https://pith.science/paper/27RS2BP5"},"agent_actions":{"view_html":"https://pith.science/pith/27RS2BP5G2MDNSXADEPFDDKBGX","download_json":"https://pith.science/pith/27RS2BP5G2MDNSXADEPFDDKBGX.json","view_paper":"https://pith.science/paper/27RS2BP5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.06596&json=true","fetch_graph":"https://pith.science/api/pith-number/27RS2BP5G2MDNSXADEPFDDKBGX/graph.json","fetch_events":"https://pith.science/api/pith-number/27RS2BP5G2MDNSXADEPFDDKBGX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/27RS2BP5G2MDNSXADEPFDDKBGX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/27RS2BP5G2MDNSXADEPFDDKBGX/action/storage_attestation","attest_author":"https://pith.science/pith/27RS2BP5G2MDNSXADEPFDDKBGX/action/author_attestation","sign_citation":"https://pith.science/pith/27RS2BP5G2MDNSXADEPFDDKBGX/action/citation_signature","submit_replication":"https://pith.science/pith/27RS2BP5G2MDNSXADEPFDDKBGX/action/replication_record"}},"created_at":"2026-05-18T01:01:37.277826+00:00","updated_at":"2026-05-18T01:01:37.277826+00:00"}