{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MFVCG7PHXUJRN4RCARS3LMQNF7","short_pith_number":"pith:MFVCG7PH","canonical_record":{"source":{"id":"1307.2576","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-09T20:00:21Z","cross_cats_sorted":["math-ph","math.AG","math.MP","math.RT"],"title_canon_sha256":"afa495eec4ea2805beb0d496490b869c388a1301e1b3845f538ea2bf3932abb2","abstract_canon_sha256":"a51e1e090021666a2e7892567b2f87f0ff95f11968f301e7d071fd4395de83d8"},"schema_version":"1.0"},"canonical_sha256":"616a237de7bd1316f2220465b5b20d2fdaa6d67cbf2429a8f81484d92997bebf","source":{"kind":"arxiv","id":"1307.2576","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.2576","created_at":"2026-05-18T01:48:52Z"},{"alias_kind":"arxiv_version","alias_value":"1307.2576v2","created_at":"2026-05-18T01:48:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2576","created_at":"2026-05-18T01:48:52Z"},{"alias_kind":"pith_short_12","alias_value":"MFVCG7PHXUJR","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MFVCG7PHXUJRN4RC","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MFVCG7PH","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MFVCG7PHXUJRN4RCARS3LMQNF7","target":"record","payload":{"canonical_record":{"source":{"id":"1307.2576","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-09T20:00:21Z","cross_cats_sorted":["math-ph","math.AG","math.MP","math.RT"],"title_canon_sha256":"afa495eec4ea2805beb0d496490b869c388a1301e1b3845f538ea2bf3932abb2","abstract_canon_sha256":"a51e1e090021666a2e7892567b2f87f0ff95f11968f301e7d071fd4395de83d8"},"schema_version":"1.0"},"canonical_sha256":"616a237de7bd1316f2220465b5b20d2fdaa6d67cbf2429a8f81484d92997bebf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:52.718481Z","signature_b64":"ebHZVE6LCkK01gDlcVHOgFFn0Jo536xFspfhkdRz+GwO3VfZQ5gBGdMIxHIuK/iOE4nSu+gTB+TXbwACPNIeAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"616a237de7bd1316f2220465b5b20d2fdaa6d67cbf2429a8f81484d92997bebf","last_reissued_at":"2026-05-18T01:48:52.717705Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:52.717705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.2576","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:48:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q6wOS2VhjaSuAK/je2j/d1bNfFQrHCMFlk9qn2Wjz/Pb4fM3zoA6o6I0IDJeGSVrC3FA+bVvlh80O18eGI0eBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:48:51.015072Z"},"content_sha256":"522796a592570cd185de9df6f34167e20517755d6ea3fe7ef8f88c13d8616252","schema_version":"1.0","event_id":"sha256:522796a592570cd185de9df6f34167e20517755d6ea3fe7ef8f88c13d8616252"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MFVCG7PHXUJRN4RCARS3LMQNF7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finalizing the proof of AGT relations with the help of the generalized Jack polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP","math.RT"],"primary_cat":"hep-th","authors_text":"A.Morozov, A.Smirnov","submitted_at":"2013-07-09T20:00:21Z","abstract_excerpt":"Original proofs of the AGT relations with the help of the Hubbard-Stratanovich duality of the modified Dotsenko-Fateev matrix model did not work for beta different from one, because Nekrasov functions were not properly reproduced by Selberg-Kadell integrals of Jack polynomials. We demonstrate that if the generalized Jack polynomials, depending on the N-ples of Young diagrams from the very beginning, are used instead of the N-linear combinations of ordinary Jacks, this resolves the problem. Such polynomials naturally arise as special elements in the equivariant cohomologies of the GL(N)-instant"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2576","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:48:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o218jSdsxtUI3zvbuP9AZlUY5gwUiLZTshOP61S6K7ZO9RPbyM4ur16lUr8xPWINTMh98yX/RmfssGBXUnn5CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:48:51.015459Z"},"content_sha256":"e32915a5044db9ad61dac74d29e77249a747a1bcce9b10e5b78ed7835ce5b15a","schema_version":"1.0","event_id":"sha256:e32915a5044db9ad61dac74d29e77249a747a1bcce9b10e5b78ed7835ce5b15a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MFVCG7PHXUJRN4RCARS3LMQNF7/bundle.json","state_url":"https://pith.science/pith/MFVCG7PHXUJRN4RCARS3LMQNF7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MFVCG7PHXUJRN4RCARS3LMQNF7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T17:48:51Z","links":{"resolver":"https://pith.science/pith/MFVCG7PHXUJRN4RCARS3LMQNF7","bundle":"https://pith.science/pith/MFVCG7PHXUJRN4RCARS3LMQNF7/bundle.json","state":"https://pith.science/pith/MFVCG7PHXUJRN4RCARS3LMQNF7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MFVCG7PHXUJRN4RCARS3LMQNF7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MFVCG7PHXUJRN4RCARS3LMQNF7","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":"a51e1e090021666a2e7892567b2f87f0ff95f11968f301e7d071fd4395de83d8","cross_cats_sorted":["math-ph","math.AG","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-09T20:00:21Z","title_canon_sha256":"afa495eec4ea2805beb0d496490b869c388a1301e1b3845f538ea2bf3932abb2"},"schema_version":"1.0","source":{"id":"1307.2576","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.2576","created_at":"2026-05-18T01:48:52Z"},{"alias_kind":"arxiv_version","alias_value":"1307.2576v2","created_at":"2026-05-18T01:48:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2576","created_at":"2026-05-18T01:48:52Z"},{"alias_kind":"pith_short_12","alias_value":"MFVCG7PHXUJR","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MFVCG7PHXUJRN4RC","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MFVCG7PH","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:e32915a5044db9ad61dac74d29e77249a747a1bcce9b10e5b78ed7835ce5b15a","target":"graph","created_at":"2026-05-18T01:48:52Z","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":"Original proofs of the AGT relations with the help of the Hubbard-Stratanovich duality of the modified Dotsenko-Fateev matrix model did not work for beta different from one, because Nekrasov functions were not properly reproduced by Selberg-Kadell integrals of Jack polynomials. We demonstrate that if the generalized Jack polynomials, depending on the N-ples of Young diagrams from the very beginning, are used instead of the N-linear combinations of ordinary Jacks, this resolves the problem. Such polynomials naturally arise as special elements in the equivariant cohomologies of the GL(N)-instant","authors_text":"A.Morozov, A.Smirnov","cross_cats":["math-ph","math.AG","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-09T20:00:21Z","title":"Finalizing the proof of AGT relations with the help of the generalized Jack polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2576","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":"sha256:522796a592570cd185de9df6f34167e20517755d6ea3fe7ef8f88c13d8616252","target":"record","created_at":"2026-05-18T01:48:52Z","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":"a51e1e090021666a2e7892567b2f87f0ff95f11968f301e7d071fd4395de83d8","cross_cats_sorted":["math-ph","math.AG","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-09T20:00:21Z","title_canon_sha256":"afa495eec4ea2805beb0d496490b869c388a1301e1b3845f538ea2bf3932abb2"},"schema_version":"1.0","source":{"id":"1307.2576","kind":"arxiv","version":2}},"canonical_sha256":"616a237de7bd1316f2220465b5b20d2fdaa6d67cbf2429a8f81484d92997bebf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"616a237de7bd1316f2220465b5b20d2fdaa6d67cbf2429a8f81484d92997bebf","first_computed_at":"2026-05-18T01:48:52.717705Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:52.717705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ebHZVE6LCkK01gDlcVHOgFFn0Jo536xFspfhkdRz+GwO3VfZQ5gBGdMIxHIuK/iOE4nSu+gTB+TXbwACPNIeAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:52.718481Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.2576","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:522796a592570cd185de9df6f34167e20517755d6ea3fe7ef8f88c13d8616252","sha256:e32915a5044db9ad61dac74d29e77249a747a1bcce9b10e5b78ed7835ce5b15a"],"state_sha256":"14576ce45e00af59cca5b08135574e8b9fb35ed551e3bc7258ced7734a104881"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ic2ar6nbkGnwqvnmNmhddHQpVne9fW61pMfBY6JcQEEDzKe5/xeqnTPIEbMCuzahwrBTFxtSMXKc3KRZ9F71Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T17:48:51.017420Z","bundle_sha256":"0a03d5a6672beb2546d8e633165c109d4b40eda1abecce1f19e016babbcd1593"}}