{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TM3JOILIQU4S2NS7ULWEZOCXHV","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":"d30e9980c60416acab22fe133224a4d595d8907561c5b6c934431d942c572fad","cross_cats_sorted":["math.AG","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-22T19:03:42Z","title_canon_sha256":"68364a46644fcac4373da6a98d539e4309d98e7695c771f191aa2da47bf82835"},"schema_version":"1.0","source":{"id":"1506.06718","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06718","created_at":"2026-05-18T01:36:37Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06718v2","created_at":"2026-05-18T01:36:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06718","created_at":"2026-05-18T01:36:37Z"},{"alias_kind":"pith_short_12","alias_value":"TM3JOILIQU4S","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TM3JOILIQU4S2NS7","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TM3JOILI","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:d56f5bac6a77c796dc149c5cef107480a7ae534a2d31c094f2df19ede11d3088","target":"graph","created_at":"2026-05-18T01:36:37Z","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":"Our goal is to show that the one-interval gap probability for the q-Hahn orthogonal polynomial ensemble can be expressed through a solution of the asymmetric q-Painleve V equation. The case of the q-Hahn ensemble we consider is the most general case of the orthogonal polynomial ensembles that have been studied. Our approach is based on the analysis of q-connections on the Riemann sphere with a particular singularity structure. It requires a new derivation of a q-difference equation of Sakai's hierarchy of type A_{2}^{(1)}. We also calculate its Lax pair.","authors_text":"Alisa Knizel","cross_cats":["math.AG","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-22T19:03:42Z","title":"Moduli spaces of q-connections and gap probabilities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06718","kind":"arxiv","version":2},"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":"sha256:610a0139314d3e134f703d03a6dc3279be79f1e2644defe0495ddf946ede0f5c","target":"record","created_at":"2026-05-18T01:36:37Z","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":"d30e9980c60416acab22fe133224a4d595d8907561c5b6c934431d942c572fad","cross_cats_sorted":["math.AG","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-22T19:03:42Z","title_canon_sha256":"68364a46644fcac4373da6a98d539e4309d98e7695c771f191aa2da47bf82835"},"schema_version":"1.0","source":{"id":"1506.06718","kind":"arxiv","version":2}},"canonical_sha256":"9b3697216885392d365fa2ec4cb8573d780f2c99658b0421fa39e84ba9de4197","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b3697216885392d365fa2ec4cb8573d780f2c99658b0421fa39e84ba9de4197","first_computed_at":"2026-05-18T01:36:37.846335Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:37.846335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OYZOpjLq9w2T9PZUoEz9bjChSeTAYKSECCmQtjYWA+JVzdRVN8aRbe54O3aLx+w1+Bc1VV/csccc75gBeOcPAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:37.846855Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.06718","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:610a0139314d3e134f703d03a6dc3279be79f1e2644defe0495ddf946ede0f5c","sha256:d56f5bac6a77c796dc149c5cef107480a7ae534a2d31c094f2df19ede11d3088"],"state_sha256":"f3bbe106ab4103336bb0275ae7839c196cc040a8a8dbb1e6bb2293a313b08073"}