{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:DUMSU3RFZAV4THC7NKSOMUH4SK","short_pith_number":"pith:DUMSU3RF","schema_version":"1.0","canonical_sha256":"1d192a6e25c82bc99c5f6aa4e650fc92a20e2e199f903ba1646a85718aee9db6","source":{"kind":"arxiv","id":"1008.3655","version":3},"attestation_state":"computed","paper":{"title":"A finite analog of the AGT relation I: finite W-algebras and quasimaps' spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.RT"],"primary_cat":"math.AG","authors_text":"Alexander Braverman, Boris Feigin, Leonid Rybnikov, Michael Finkelberg","submitted_at":"2010-08-21T18:46:01Z","abstract_excerpt":"Recently Alday, Gaiotto and Tachikawa proposed a conjecture relating 4-dimensional super-symmetric gauge theory for a gauge group G with certain 2-dimensional conformal field theory. This conjecture implies the existence of certain structures on the (equivariant) intersection cohomology of the Uhlenbeck partial compactification of the moduli space of framed G-bundles on P^2. More precisely, it predicts the existence of an action of the corresponding W-algebra on the above cohomology, satisfying certain properties.\n  We propose a \"finite analog\" of the (above corollary of the) AGT conjecture. N"},"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":"1008.3655","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-08-21T18:46:01Z","cross_cats_sorted":["hep-th","math.RT"],"title_canon_sha256":"cadab8ee6970ce63807cf90cc0cb47c7600ed4c03f3199553926a4a876a1bcca","abstract_canon_sha256":"f1cf6439ab08ca0eb15a0486aa5b85be160fc49518d36825e2569f32ecf3c977"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:42.592626Z","signature_b64":"uOtQDP7LCGzwozyBmBNlcX3ShRvu+AmDOBNKaHH85UuArs0XvL1WqXmDB1QWPUl/dScePVLg7hESPcHl2pjYBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d192a6e25c82bc99c5f6aa4e650fc92a20e2e199f903ba1646a85718aee9db6","last_reissued_at":"2026-05-18T04:04:42.591958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:42.591958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A finite analog of the AGT relation I: finite W-algebras and quasimaps' spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.RT"],"primary_cat":"math.AG","authors_text":"Alexander Braverman, Boris Feigin, Leonid Rybnikov, Michael Finkelberg","submitted_at":"2010-08-21T18:46:01Z","abstract_excerpt":"Recently Alday, Gaiotto and Tachikawa proposed a conjecture relating 4-dimensional super-symmetric gauge theory for a gauge group G with certain 2-dimensional conformal field theory. This conjecture implies the existence of certain structures on the (equivariant) intersection cohomology of the Uhlenbeck partial compactification of the moduli space of framed G-bundles on P^2. More precisely, it predicts the existence of an action of the corresponding W-algebra on the above cohomology, satisfying certain properties.\n  We propose a \"finite analog\" of the (above corollary of the) AGT conjecture. N"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3655","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":"1008.3655","created_at":"2026-05-18T04:04:42.592072+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.3655v3","created_at":"2026-05-18T04:04:42.592072+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3655","created_at":"2026-05-18T04:04:42.592072+00:00"},{"alias_kind":"pith_short_12","alias_value":"DUMSU3RFZAV4","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"DUMSU3RFZAV4THC7","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"DUMSU3RF","created_at":"2026-05-18T12:26:06.534383+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.01323","citing_title":"Quiver Yangians as Coulomb branch algebras","ref_index":43,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DUMSU3RFZAV4THC7NKSOMUH4SK","json":"https://pith.science/pith/DUMSU3RFZAV4THC7NKSOMUH4SK.json","graph_json":"https://pith.science/api/pith-number/DUMSU3RFZAV4THC7NKSOMUH4SK/graph.json","events_json":"https://pith.science/api/pith-number/DUMSU3RFZAV4THC7NKSOMUH4SK/events.json","paper":"https://pith.science/paper/DUMSU3RF"},"agent_actions":{"view_html":"https://pith.science/pith/DUMSU3RFZAV4THC7NKSOMUH4SK","download_json":"https://pith.science/pith/DUMSU3RFZAV4THC7NKSOMUH4SK.json","view_paper":"https://pith.science/paper/DUMSU3RF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.3655&json=true","fetch_graph":"https://pith.science/api/pith-number/DUMSU3RFZAV4THC7NKSOMUH4SK/graph.json","fetch_events":"https://pith.science/api/pith-number/DUMSU3RFZAV4THC7NKSOMUH4SK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DUMSU3RFZAV4THC7NKSOMUH4SK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DUMSU3RFZAV4THC7NKSOMUH4SK/action/storage_attestation","attest_author":"https://pith.science/pith/DUMSU3RFZAV4THC7NKSOMUH4SK/action/author_attestation","sign_citation":"https://pith.science/pith/DUMSU3RFZAV4THC7NKSOMUH4SK/action/citation_signature","submit_replication":"https://pith.science/pith/DUMSU3RFZAV4THC7NKSOMUH4SK/action/replication_record"}},"created_at":"2026-05-18T04:04:42.592072+00:00","updated_at":"2026-05-18T04:04:42.592072+00:00"}