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Foda","submitted_at":"2014-04-28T18:00:36Z","abstract_excerpt":"We consider the AGT correspondence in the context of the conformal field theory $M^{\\, p, p^{\\prime}}$ $\\otimes$ $M^{H}$, where $M^{\\, p, p^{\\prime}}$ is the minimal model based on the Virasoro algebra $V^{\\, p, p^{\\prime}}$ labeled by two co-prime integers $\\{p, p^{\\prime}\\}$, $1 < p < p^{\\prime}$, and $M^{H}$ is the free boson theory based on the Heisenberg algebra $H$. Using Nekrasov's instanton partition functions without modification to compute conformal blocks in $M^{\\, p, p^{\\prime}}$ $\\otimes$ $M^{H}$ leads to ill-defined or incorrect expressions.\n  Let $B^{\\, p, p^{\\prime}, H}_n$ be a"},"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":"1404.7075","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-28T18:00:36Z","cross_cats_sorted":[],"title_canon_sha256":"ca893c3b0fd201a1a4a15d9e43864bcb4c22cc7718bdcf2625d58540fb325d7f","abstract_canon_sha256":"f303c235e89ae065a8fe1d711b4b7daff8a87db96c567d960d03293b0c5f723f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:59.530311Z","signature_b64":"mM7W1c4oKzGsGDSW8q7ug3OgzRAnUxSpQWyH8nBvxK4mDAdKQYwlVb88c3O390D92fepkafJmFvmxMIJxIZXBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8ccf0dc51a3c49d54a9c86bd896781162c8d06cf288b4b9b0c895d45925d46f","last_reissued_at":"2026-05-18T01:29:59.529652Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:59.529652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"AGT, Burge pairs and minimal models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. 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Using Nekrasov's instanton partition functions without modification to compute conformal blocks in $M^{\\, p, p^{\\prime}}$ $\\otimes$ $M^{H}$ leads to ill-defined or incorrect expressions.\n  Let $B^{\\, p, p^{\\prime}, H}_n$ be a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7075","kind":"arxiv","version":3},"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":"1404.7075","created_at":"2026-05-18T01:29:59.529760+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.7075v3","created_at":"2026-05-18T01:29:59.529760+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7075","created_at":"2026-05-18T01:29:59.529760+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZDGPBXCRUPCJ","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZDGPBXCRUPCJ2VFJ","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZDGPBXCR","created_at":"2026-05-18T12:28:59.999130+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/ZDGPBXCRUPCJ2VFJZBV5RFTYCF","json":"https://pith.science/pith/ZDGPBXCRUPCJ2VFJZBV5RFTYCF.json","graph_json":"https://pith.science/api/pith-number/ZDGPBXCRUPCJ2VFJZBV5RFTYCF/graph.json","events_json":"https://pith.science/api/pith-number/ZDGPBXCRUPCJ2VFJZBV5RFTYCF/events.json","paper":"https://pith.science/paper/ZDGPBXCR"},"agent_actions":{"view_html":"https://pith.science/pith/ZDGPBXCRUPCJ2VFJZBV5RFTYCF","download_json":"https://pith.science/pith/ZDGPBXCRUPCJ2VFJZBV5RFTYCF.json","view_paper":"https://pith.science/paper/ZDGPBXCR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.7075&json=true","fetch_graph":"https://pith.science/api/pith-number/ZDGPBXCRUPCJ2VFJZBV5RFTYCF/graph.json","fetch_events":"https://pith.science/api/pith-number/ZDGPBXCRUPCJ2VFJZBV5RFTYCF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZDGPBXCRUPCJ2VFJZBV5RFTYCF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZDGPBXCRUPCJ2VFJZBV5RFTYCF/action/storage_attestation","attest_author":"https://pith.science/pith/ZDGPBXCRUPCJ2VFJZBV5RFTYCF/action/author_attestation","sign_citation":"https://pith.science/pith/ZDGPBXCRUPCJ2VFJZBV5RFTYCF/action/citation_signature","submit_replication":"https://pith.science/pith/ZDGPBXCRUPCJ2VFJZBV5RFTYCF/action/replication_record"}},"created_at":"2026-05-18T01:29:59.529760+00:00","updated_at":"2026-05-18T01:29:59.529760+00:00"}