{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:WEWRR24OUFA6YQPJDDUPD5IE5V","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":"30b88131242ec4b6175eb2623dc15412c5d4707d8aadb7ccb3d5c66676528213","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-15T14:41:30Z","title_canon_sha256":"b33683207d3dd13fc164f1079d3df060028ad836f0d9d3620b25407dcde517e9"},"schema_version":"1.0","source":{"id":"1003.2929","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.2929","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"arxiv_version","alias_value":"1003.2929v2","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2929","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"pith_short_12","alias_value":"WEWRR24OUFA6","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"WEWRR24OUFA6YQPJ","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"WEWRR24O","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:1cee5b494169b543f5e5873d2395a04e66a88741904ff5254d82ddbb0042f9de","target":"graph","created_at":"2026-05-18T02:33:41Z","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 observe that, at beta-deformed matrix models for the four-point conformal block, the point q=0 is the point where the three-Penner type model becomes a pair of decoupled two-Penner type models and where, in the planar limit, (an array of) two-cut eigenvalue distribution(s) coalesce into (that of) one-cut one(s). We treat the Dotsenko-Fateev multiple integral, with their paths under the recent discussion, as perturbed double-Selberg matrix model (at q=0, it becomes a pair of Selberg integrals) to construct two kinds of generating functions for the q-expansion coefficients and compute some. A","authors_text":"Hiroshi Itoyama, Takeshi Oota","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-15T14:41:30Z","title":"Method of Generating q-Expansion Coefficients for Conformal Block and N=2 Nekrasov Function by beta-Deformed Matrix Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2929","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:afdac4aaef2e2be4170fe236a2a7750f0e6f9c609493b673ea441702d1c5d6cb","target":"record","created_at":"2026-05-18T02:33:41Z","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":"30b88131242ec4b6175eb2623dc15412c5d4707d8aadb7ccb3d5c66676528213","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-15T14:41:30Z","title_canon_sha256":"b33683207d3dd13fc164f1079d3df060028ad836f0d9d3620b25407dcde517e9"},"schema_version":"1.0","source":{"id":"1003.2929","kind":"arxiv","version":2}},"canonical_sha256":"b12d18eb8ea141ec41e918e8f1f504ed46142626a6b9e9ef048f45b7984fd94a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b12d18eb8ea141ec41e918e8f1f504ed46142626a6b9e9ef048f45b7984fd94a","first_computed_at":"2026-05-18T02:33:41.036034Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:41.036034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o1YGVf/C+vwhyGpkp2HCN70UamsERljWHMf4sPHefH6fFN+0vVyXpGW3gxN6PwPZqRr4oRmjlpkAcGU/CfCcDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:41.036429Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.2929","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afdac4aaef2e2be4170fe236a2a7750f0e6f9c609493b673ea441702d1c5d6cb","sha256:1cee5b494169b543f5e5873d2395a04e66a88741904ff5254d82ddbb0042f9de"],"state_sha256":"464fef015fe0eb7e32c07db3c33c53dc59cb1fd123aca0330d31c9bbf74142cb"}