{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:MPIMYNOVC3CAGTVAKJPMNV6QBO","short_pith_number":"pith:MPIMYNOV","schema_version":"1.0","canonical_sha256":"63d0cc35d516c4034ea0525ec6d7d00b85f7a3a04a8b026458019e4054935b43","source":{"kind":"arxiv","id":"1510.09060","version":2},"attestation_state":"computed","paper":{"title":"Irregular conformal block, spectral curve and flow equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Chaiho Rim, Hong Zhang, Sang Kwan Choi","submitted_at":"2015-10-30T12:43:04Z","abstract_excerpt":"Irregular conformal block is motivated by the Argyres-Douglas type of N=2 super conformal gauge theory. We investigate the classical/NS limit of the irregular conformal block using spectral curve on a Riemann surface with irregular punctures, which is equivalent to the loop equation of irregular matrix model. The spectral curve is reduced to the second order (Virasoro symmetry, $SU(2)$ for the gauge theory) and third order ($W_3$ symmetry, $SU(3)$) differential equations of a polynomial with finite degree. The Virasoro and W symmetry generate flow equations in the spectral curve and determine "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1510.09060","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-30T12:43:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f98a2ec9bb0a5553cddd0bd1288bfe8c4d3aad80f30b144fea4638ca136e1398","abstract_canon_sha256":"e430df472071098aa1681f5795c7242e5e6b15781d7fb256d4c4863b4ee41b35"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:47.679524Z","signature_b64":"37G+oIJ3NT6J4Gpk3UMBaL8aueaJEBSAJJYiuHP9pQ/pobRJ53IJrnHazDIgGJa9RGDAB03eJ3vIbKMPXQsEAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63d0cc35d516c4034ea0525ec6d7d00b85f7a3a04a8b026458019e4054935b43","last_reissued_at":"2026-05-18T01:16:47.678912Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:47.678912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Irregular conformal block, spectral curve and flow equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Chaiho Rim, Hong Zhang, Sang Kwan Choi","submitted_at":"2015-10-30T12:43:04Z","abstract_excerpt":"Irregular conformal block is motivated by the Argyres-Douglas type of N=2 super conformal gauge theory. We investigate the classical/NS limit of the irregular conformal block using spectral curve on a Riemann surface with irregular punctures, which is equivalent to the loop equation of irregular matrix model. The spectral curve is reduced to the second order (Virasoro symmetry, $SU(2)$ for the gauge theory) and third order ($W_3$ symmetry, $SU(3)$) differential equations of a polynomial with finite degree. The Virasoro and W symmetry generate flow equations in the spectral curve and determine "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.09060","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1510.09060","created_at":"2026-05-18T01:16:47.679019+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.09060v2","created_at":"2026-05-18T01:16:47.679019+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.09060","created_at":"2026-05-18T01:16:47.679019+00:00"},{"alias_kind":"pith_short_12","alias_value":"MPIMYNOVC3CA","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"MPIMYNOVC3CAGTVA","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"MPIMYNOV","created_at":"2026-05-18T12:29:32.376354+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO","json":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO.json","graph_json":"https://pith.science/api/pith-number/MPIMYNOVC3CAGTVAKJPMNV6QBO/graph.json","events_json":"https://pith.science/api/pith-number/MPIMYNOVC3CAGTVAKJPMNV6QBO/events.json","paper":"https://pith.science/paper/MPIMYNOV"},"agent_actions":{"view_html":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO","download_json":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO.json","view_paper":"https://pith.science/paper/MPIMYNOV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.09060&json=true","fetch_graph":"https://pith.science/api/pith-number/MPIMYNOVC3CAGTVAKJPMNV6QBO/graph.json","fetch_events":"https://pith.science/api/pith-number/MPIMYNOVC3CAGTVAKJPMNV6QBO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO/action/storage_attestation","attest_author":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO/action/author_attestation","sign_citation":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO/action/citation_signature","submit_replication":"https://pith.science/pith/MPIMYNOVC3CAGTVAKJPMNV6QBO/action/replication_record"}},"created_at":"2026-05-18T01:16:47.679019+00:00","updated_at":"2026-05-18T01:16:47.679019+00:00"}