{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:MMWH3NDPTMSUZYQD2XQ4IFGCL4","short_pith_number":"pith:MMWH3NDP","schema_version":"1.0","canonical_sha256":"632c7db46f9b254ce203d5e1c414c25f3992826de871abb2f07798ab055396fd","source":{"kind":"arxiv","id":"1308.4896","version":2},"attestation_state":"computed","paper":{"title":"Elliptic genera of 2d N=2 gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Francesco Benini, Kentaro Hori, Richard Eager, Yuji Tachikawa","submitted_at":"2013-08-22T15:23:19Z","abstract_excerpt":"We compute the elliptic genera of general two-dimensional N=(2,2) and N=(0,2) gauge theories. We find that the elliptic genus is given by the sum of Jeffrey-Kirwan residues of a meromorphic form, representing the one-loop determinant of fields, on the moduli space of flat connections on T^2. We give several examples illustrating our formula, with both Abelian and non-Abelian gauge groups, and discuss some dualities for U(k) and SU(k) theories. This paper is a sequel to the authors' previous paper arXiv:1305.0533."},"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":"1308.4896","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-08-22T15:23:19Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"6c4d241225fc3ba87ad0d3bf9ae708562a44612248d2afff16f6cc15127271e0","abstract_canon_sha256":"b68417c9798bc074cca08448f4fa8fd23eba5ca213b3a03f9c5bbf4611880ae0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:48.183745Z","signature_b64":"fbnMBJZk4y7itWw4PghGjxR1ccqq+HtKRQvi0eDn2SQfSgcP+JKM8n43JBVgmb7wJ773BvNz9JWt/UkSnU8hBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"632c7db46f9b254ce203d5e1c414c25f3992826de871abb2f07798ab055396fd","last_reissued_at":"2026-05-18T02:28:48.183355Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:48.183355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Elliptic genera of 2d N=2 gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Francesco Benini, Kentaro Hori, Richard Eager, Yuji Tachikawa","submitted_at":"2013-08-22T15:23:19Z","abstract_excerpt":"We compute the elliptic genera of general two-dimensional N=(2,2) and N=(0,2) gauge theories. We find that the elliptic genus is given by the sum of Jeffrey-Kirwan residues of a meromorphic form, representing the one-loop determinant of fields, on the moduli space of flat connections on T^2. We give several examples illustrating our formula, with both Abelian and non-Abelian gauge groups, and discuss some dualities for U(k) and SU(k) theories. This paper is a sequel to the authors' previous paper arXiv:1305.0533."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4896","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":"1308.4896","created_at":"2026-05-18T02:28:48.183416+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.4896v2","created_at":"2026-05-18T02:28:48.183416+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4896","created_at":"2026-05-18T02:28:48.183416+00:00"},{"alias_kind":"pith_short_12","alias_value":"MMWH3NDPTMSU","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"MMWH3NDPTMSUZYQD","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"MMWH3NDP","created_at":"2026-05-18T12:27:52.871228+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"1907.02771","citing_title":"Defects, nested instantons and comet shaped quivers","ref_index":16,"is_internal_anchor":true},{"citing_arxiv_id":"2409.18130","citing_title":"Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs","ref_index":160,"is_internal_anchor":true},{"citing_arxiv_id":"2509.25976","citing_title":"Hyperfunctions in $A$-model Localization","ref_index":19,"is_internal_anchor":true},{"citing_arxiv_id":"2512.21606","citing_title":"Shell formulas for instantons and gauge origami","ref_index":70,"is_internal_anchor":true},{"citing_arxiv_id":"2604.17975","citing_title":"Localisation of $\\mathcal{N} = (2,2)$ theories on spindles of both twists","ref_index":13,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4","json":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4.json","graph_json":"https://pith.science/api/pith-number/MMWH3NDPTMSUZYQD2XQ4IFGCL4/graph.json","events_json":"https://pith.science/api/pith-number/MMWH3NDPTMSUZYQD2XQ4IFGCL4/events.json","paper":"https://pith.science/paper/MMWH3NDP"},"agent_actions":{"view_html":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4","download_json":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4.json","view_paper":"https://pith.science/paper/MMWH3NDP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.4896&json=true","fetch_graph":"https://pith.science/api/pith-number/MMWH3NDPTMSUZYQD2XQ4IFGCL4/graph.json","fetch_events":"https://pith.science/api/pith-number/MMWH3NDPTMSUZYQD2XQ4IFGCL4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4/action/storage_attestation","attest_author":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4/action/author_attestation","sign_citation":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4/action/citation_signature","submit_replication":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4/action/replication_record"}},"created_at":"2026-05-18T02:28:48.183416+00:00","updated_at":"2026-05-18T02:28:48.183416+00:00"}