{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MMWH3NDPTMSUZYQD2XQ4IFGCL4","short_pith_number":"pith:MMWH3NDP","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"},"canonical_sha256":"632c7db46f9b254ce203d5e1c414c25f3992826de871abb2f07798ab055396fd","source":{"kind":"arxiv","id":"1308.4896","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4896","created_at":"2026-05-18T02:28:48Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4896v2","created_at":"2026-05-18T02:28:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4896","created_at":"2026-05-18T02:28:48Z"},{"alias_kind":"pith_short_12","alias_value":"MMWH3NDPTMSU","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MMWH3NDPTMSUZYQD","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MMWH3NDP","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MMWH3NDPTMSUZYQD2XQ4IFGCL4","target":"record","payload":{"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"},"canonical_sha256":"632c7db46f9b254ce203d5e1c414c25f3992826de871abb2f07798ab055396fd","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"},"source_kind":"arxiv","source_id":"1308.4896","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":"2026-05-18T02:28:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KbsTj+fQfLSY8g0H/LtXqsImSU8Aq+uyysuxGbCApt910WKTwUgS12hWHg+jXhLQ9kC41Mdi8hUV6MEpr2xMAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:12:35.783882Z"},"content_sha256":"8a7455a4cb1e8704d51d3b82e174e2703c19b45014806620d5a1b3ef29f2338f","schema_version":"1.0","event_id":"sha256:8a7455a4cb1e8704d51d3b82e174e2703c19b45014806620d5a1b3ef29f2338f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MMWH3NDPTMSUZYQD2XQ4IFGCL4","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:28:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/pjJaZ763k4qyVfaPI3rllpqD3CiUN34nCgh4UY2+VGxvd3dtdqanzzy0735tmF8aXFVSDKwW3D3PtqG7Zo1DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:12:35.784568Z"},"content_sha256":"c617ca35ef5082ab2ee0fb864fc7ed93b9d47666e6a828496e8ba9a2c7ad2957","schema_version":"1.0","event_id":"sha256:c617ca35ef5082ab2ee0fb864fc7ed93b9d47666e6a828496e8ba9a2c7ad2957"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4/bundle.json","state_url":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4/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":"2026-06-01T04:12:35Z","links":{"resolver":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4","bundle":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4/bundle.json","state":"https://pith.science/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MMWH3NDPTMSUZYQD2XQ4IFGCL4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MMWH3NDPTMSUZYQD2XQ4IFGCL4","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":"b68417c9798bc074cca08448f4fa8fd23eba5ca213b3a03f9c5bbf4611880ae0","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-08-22T15:23:19Z","title_canon_sha256":"6c4d241225fc3ba87ad0d3bf9ae708562a44612248d2afff16f6cc15127271e0"},"schema_version":"1.0","source":{"id":"1308.4896","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4896","created_at":"2026-05-18T02:28:48Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4896v2","created_at":"2026-05-18T02:28:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4896","created_at":"2026-05-18T02:28:48Z"},{"alias_kind":"pith_short_12","alias_value":"MMWH3NDPTMSU","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MMWH3NDPTMSUZYQD","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MMWH3NDP","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:c617ca35ef5082ab2ee0fb864fc7ed93b9d47666e6a828496e8ba9a2c7ad2957","target":"graph","created_at":"2026-05-18T02:28:48Z","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":"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.","authors_text":"Francesco Benini, Kentaro Hori, Richard Eager, Yuji Tachikawa","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-08-22T15:23:19Z","title":"Elliptic genera of 2d N=2 gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4896","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":"sha256:8a7455a4cb1e8704d51d3b82e174e2703c19b45014806620d5a1b3ef29f2338f","target":"record","created_at":"2026-05-18T02:28:48Z","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":"b68417c9798bc074cca08448f4fa8fd23eba5ca213b3a03f9c5bbf4611880ae0","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-08-22T15:23:19Z","title_canon_sha256":"6c4d241225fc3ba87ad0d3bf9ae708562a44612248d2afff16f6cc15127271e0"},"schema_version":"1.0","source":{"id":"1308.4896","kind":"arxiv","version":2}},"canonical_sha256":"632c7db46f9b254ce203d5e1c414c25f3992826de871abb2f07798ab055396fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"632c7db46f9b254ce203d5e1c414c25f3992826de871abb2f07798ab055396fd","first_computed_at":"2026-05-18T02:28:48.183355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:48.183355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fbnMBJZk4y7itWw4PghGjxR1ccqq+HtKRQvi0eDn2SQfSgcP+JKM8n43JBVgmb7wJ773BvNz9JWt/UkSnU8hBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:48.183745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.4896","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a7455a4cb1e8704d51d3b82e174e2703c19b45014806620d5a1b3ef29f2338f","sha256:c617ca35ef5082ab2ee0fb864fc7ed93b9d47666e6a828496e8ba9a2c7ad2957"],"state_sha256":"72ae2607f9b03031bbb15411d69da3b990372486a8a59c98f80a91d6a82df30f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AnoLGfQiXm0cuxi2tiGKqghcnZjDYku2WfSLbb+EDqbSYW0//wa0ZgJEEUhSAc4G/ROB7zbGkizYszMXvPAJAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T04:12:35.787805Z","bundle_sha256":"f7135bbc0315c176112d4a03deba7cb1e71ee0ec83f879d737a9af69f277b2e6"}}