{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:27RS2BP5G2MDNSXADEPFDDKBGX","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":"4d48699cb3da32e2d1fec0845aeb03908bc9a8d88294fe115ef3a3ce9197133e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-20T20:23:33Z","title_canon_sha256":"9c719122d239c768d0be84a64eb74dfe42cbc0e4dce1f12c3d229b05447f6b1d"},"schema_version":"1.0","source":{"id":"1610.06596","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.06596","created_at":"2026-05-18T01:01:37Z"},{"alias_kind":"arxiv_version","alias_value":"1610.06596v1","created_at":"2026-05-18T01:01:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06596","created_at":"2026-05-18T01:01:37Z"},{"alias_kind":"pith_short_12","alias_value":"27RS2BP5G2MD","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"27RS2BP5G2MDNSXA","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"27RS2BP5","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:ff20c1fa22c2487f6e9fb506d6affe8a6ba326dc145024077da08b0223b6e7ee","target":"graph","created_at":"2026-05-18T01:01:37Z","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":"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","authors_text":"A. Gil-Villegas, J. Torres-Arenas, Octavio Obreg\\'on","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-20T20:23:33Z","title":"H-theorem and Thermodynamics for generalized entropies that depend only on the probability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06596","kind":"arxiv","version":1},"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:b7708b3fab0b8b8c5e439512b29f1d7b78babb73cf0da8f42597da0cfbb93660","target":"record","created_at":"2026-05-18T01:01:37Z","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":"4d48699cb3da32e2d1fec0845aeb03908bc9a8d88294fe115ef3a3ce9197133e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-20T20:23:33Z","title_canon_sha256":"9c719122d239c768d0be84a64eb74dfe42cbc0e4dce1f12c3d229b05447f6b1d"},"schema_version":"1.0","source":{"id":"1610.06596","kind":"arxiv","version":1}},"canonical_sha256":"d7e32d05fd369836cae0191e518d4135c2a7dd22ba7449f9e570371467f22d05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7e32d05fd369836cae0191e518d4135c2a7dd22ba7449f9e570371467f22d05","first_computed_at":"2026-05-18T01:01:37.277722Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:37.277722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VJUWOgLisdFQti9cLKv5G5ybA5aS42+oI0dsV4bkRqX+luEmWNuRFBfbXgyM/RGOgx4ktMMxw+X+YAperw8EAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:37.278299Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.06596","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7708b3fab0b8b8c5e439512b29f1d7b78babb73cf0da8f42597da0cfbb93660","sha256:ff20c1fa22c2487f6e9fb506d6affe8a6ba326dc145024077da08b0223b6e7ee"],"state_sha256":"d057ad24e685201f7fe6fc198f1d721816214699d999e58997208bee279966f8"}