{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:44TVDZF4RR34Z73ZNG7UNJLSVD","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":"26da78bd76d3d01f7edceb2ac54b9de99dbaf7e9bb0661688f0b1c75e907055f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-17T12:29:43Z","title_canon_sha256":"57cd3e071f0ffb48420fc57137193c82d21e7d7962d3fdb42f6a8af3dd140d15"},"schema_version":"1.0","source":{"id":"1411.4453","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4453","created_at":"2026-05-18T02:28:47Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4453v1","created_at":"2026-05-18T02:28:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4453","created_at":"2026-05-18T02:28:47Z"},{"alias_kind":"pith_short_12","alias_value":"44TVDZF4RR34","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"44TVDZF4RR34Z73Z","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"44TVDZF4","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:ea3eda66b0e7566535853f9cfe09fa92d7d98417fb8afa86a9777cc9abfbfb2c","target":"graph","created_at":"2026-05-18T02:28:47Z","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":"Virasoro irregular conformal block is presented as the expectation value of Jack-polynomials of the beta-deformed Penner-type matrix model and is compared with the inner product of Gaiotto states with arbitrary rank. It is confirmed that there are non-trivial modifications of the Gaiotto states due to the normalization of the states. The relation between the two is explicitly checked for rank 2 irregular conformal block.","authors_text":"Chaiho Rim, Hong Zhang, Sang Kwan Choi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-17T12:29:43Z","title":"Virasoro irregular conformal block and beta deformed random matrix model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4453","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:fc6c5219e327445edbebf60f93a99e6212ecadd94f5cde6f380060b1f04231c4","target":"record","created_at":"2026-05-18T02:28:47Z","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":"26da78bd76d3d01f7edceb2ac54b9de99dbaf7e9bb0661688f0b1c75e907055f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-17T12:29:43Z","title_canon_sha256":"57cd3e071f0ffb48420fc57137193c82d21e7d7962d3fdb42f6a8af3dd140d15"},"schema_version":"1.0","source":{"id":"1411.4453","kind":"arxiv","version":1}},"canonical_sha256":"e72751e4bc8c77ccff7969bf46a572a8c95817f77e42aa2368681edb64c477a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e72751e4bc8c77ccff7969bf46a572a8c95817f77e42aa2368681edb64c477a5","first_computed_at":"2026-05-18T02:28:47.442095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:47.442095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nDDiz8T62ElQGiFdqmdAowOsbJyH0k010OHg5vDYBKBYG9F/RzV7k/RMTwazmCWVwnIk5NYPGm+VTTrMoOV+Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:47.442506Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4453","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc6c5219e327445edbebf60f93a99e6212ecadd94f5cde6f380060b1f04231c4","sha256:ea3eda66b0e7566535853f9cfe09fa92d7d98417fb8afa86a9777cc9abfbfb2c"],"state_sha256":"98a74c426d8002387b5ac6b1b7b6a739365cf85a01fb7e2633ccfa994af82a6f"}