{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:55KRYR6G5UJVKFC2D2RJTD2D6R","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":"e2a969a7e64eea48dc7280ab3f8015b9e767759e16b231cda4edb0bcd4bb9bf3","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-21T23:10:44Z","title_canon_sha256":"c68e6ec74c54c10d0d114fbe5f499afc463cf51210afff00d7ae665afdcaf5a2"},"schema_version":"1.0","source":{"id":"1010.4597","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4597","created_at":"2026-05-18T04:38:57Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4597v1","created_at":"2026-05-18T04:38:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4597","created_at":"2026-05-18T04:38:57Z"},{"alias_kind":"pith_short_12","alias_value":"55KRYR6G5UJV","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"55KRYR6G5UJVKFC2","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"55KRYR6G","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:676ca1da2693a941447e8d027c7f2ea3a6a385ca814058dec98dc7cd5644dc8f","target":"graph","created_at":"2026-05-18T04:38:57Z","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":"The established technique of eliminating upper or lower parameters in a general hypergeometric series is profitably exploited to create pathways among confluent hypergeometric functions, binomial functions, Bessel functions, and exponential series. One such pathway, from the mathematical statistics point of view, results in distributions which naturally emerge within nonextensive statistical mechanics and Beck-Cohen superstatistics, as pursued in generalizations of Boltzmann-Gibbs statistics.","authors_text":"A.M. Mathai, C. Tsallis, H.J. Haubold","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-21T23:10:44Z","title":"Pathway Model and Nonextensive Statistical Mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4597","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":"sha256:330125f95b6c14a9c15d3942663022e0a658728538e25bd8ebf5289103b372c1","target":"record","created_at":"2026-05-18T04:38:57Z","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":"e2a969a7e64eea48dc7280ab3f8015b9e767759e16b231cda4edb0bcd4bb9bf3","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-21T23:10:44Z","title_canon_sha256":"c68e6ec74c54c10d0d114fbe5f499afc463cf51210afff00d7ae665afdcaf5a2"},"schema_version":"1.0","source":{"id":"1010.4597","kind":"arxiv","version":1}},"canonical_sha256":"ef551c47c6ed1355145a1ea2998f43f45856ee97591e6160eb2eb15f9b84d732","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef551c47c6ed1355145a1ea2998f43f45856ee97591e6160eb2eb15f9b84d732","first_computed_at":"2026-05-18T04:38:57.873619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:57.873619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T3zN+diMFJZDJ6UtJsowqQoJjDzKBS5aHVGBAb6pmYIzIoLa8VC68JzRD2x9nWRuARjg6znE6c/JnPQFosBUDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:57.874196Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.4597","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:330125f95b6c14a9c15d3942663022e0a658728538e25bd8ebf5289103b372c1","sha256:676ca1da2693a941447e8d027c7f2ea3a6a385ca814058dec98dc7cd5644dc8f"],"state_sha256":"ef535c601a7fef3d330ab3d75314a3b2aaf6d65787b7b7e744011c384ed7a0f8"}