{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:JIYULZ3FAYDSNSQTYL4UUEWM7E","short_pith_number":"pith:JIYULZ3F","schema_version":"1.0","canonical_sha256":"4a3145e765060726ca13c2f94a12ccf915cd99bb3ac324cfbfbb13ad1c6622b2","source":{"kind":"arxiv","id":"1411.4222","version":2},"attestation_state":"computed","paper":{"title":"Recursive Method for Nekrasov partition function for classical Lie groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Futoshi Okazawa, Satoshi Nakamura, Yutaka Matsuo","submitted_at":"2014-11-16T06:44:10Z","abstract_excerpt":"Nekrasov partition function for the supersymmetric gauge theories with general Lie groups is not so far known in a closed form while there is a definition in terms of the integral. In this paper, as an intermediate step to derive it, we give a recursion formula among partition functions, which can be derived from the integral. We apply the method to a toy model which reflects the basic structure of partition functions for BCD type Lie groups and obtained a closed expression for the factor associated with the generalized Young diagram."},"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":"1411.4222","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-16T06:44:10Z","cross_cats_sorted":[],"title_canon_sha256":"69e98eb2397ac964aeda3851a14f9c054b70f1af2a5cb539738a1f8b92037e0c","abstract_canon_sha256":"af60b1d648b635383118193547f1a6564f62c37454d689efee1dfe46b8538a25"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:41.281809Z","signature_b64":"9/+04/4x2zSUEUHDSbOMjMY7ob7Fj6hBdiE3GfGRPuZfNSiV4koTOoAmwKH6dPHT2J8gUGPI1QeuBRSggLlCCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a3145e765060726ca13c2f94a12ccf915cd99bb3ac324cfbfbb13ad1c6622b2","last_reissued_at":"2026-05-18T02:25:41.281294Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:41.281294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Recursive Method for Nekrasov partition function for classical Lie groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Futoshi Okazawa, Satoshi Nakamura, Yutaka Matsuo","submitted_at":"2014-11-16T06:44:10Z","abstract_excerpt":"Nekrasov partition function for the supersymmetric gauge theories with general Lie groups is not so far known in a closed form while there is a definition in terms of the integral. In this paper, as an intermediate step to derive it, we give a recursion formula among partition functions, which can be derived from the integral. We apply the method to a toy model which reflects the basic structure of partition functions for BCD type Lie groups and obtained a closed expression for the factor associated with the generalized Young diagram."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4222","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":"1411.4222","created_at":"2026-05-18T02:25:41.281372+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.4222v2","created_at":"2026-05-18T02:25:41.281372+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4222","created_at":"2026-05-18T02:25:41.281372+00:00"},{"alias_kind":"pith_short_12","alias_value":"JIYULZ3FAYDS","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"JIYULZ3FAYDSNSQT","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"JIYULZ3F","created_at":"2026-05-18T12:28:33.132498+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/JIYULZ3FAYDSNSQTYL4UUEWM7E","json":"https://pith.science/pith/JIYULZ3FAYDSNSQTYL4UUEWM7E.json","graph_json":"https://pith.science/api/pith-number/JIYULZ3FAYDSNSQTYL4UUEWM7E/graph.json","events_json":"https://pith.science/api/pith-number/JIYULZ3FAYDSNSQTYL4UUEWM7E/events.json","paper":"https://pith.science/paper/JIYULZ3F"},"agent_actions":{"view_html":"https://pith.science/pith/JIYULZ3FAYDSNSQTYL4UUEWM7E","download_json":"https://pith.science/pith/JIYULZ3FAYDSNSQTYL4UUEWM7E.json","view_paper":"https://pith.science/paper/JIYULZ3F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.4222&json=true","fetch_graph":"https://pith.science/api/pith-number/JIYULZ3FAYDSNSQTYL4UUEWM7E/graph.json","fetch_events":"https://pith.science/api/pith-number/JIYULZ3FAYDSNSQTYL4UUEWM7E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JIYULZ3FAYDSNSQTYL4UUEWM7E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JIYULZ3FAYDSNSQTYL4UUEWM7E/action/storage_attestation","attest_author":"https://pith.science/pith/JIYULZ3FAYDSNSQTYL4UUEWM7E/action/author_attestation","sign_citation":"https://pith.science/pith/JIYULZ3FAYDSNSQTYL4UUEWM7E/action/citation_signature","submit_replication":"https://pith.science/pith/JIYULZ3FAYDSNSQTYL4UUEWM7E/action/replication_record"}},"created_at":"2026-05-18T02:25:41.281372+00:00","updated_at":"2026-05-18T02:25:41.281372+00:00"}