{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:B5FCKZMBJXC7QMOY75JSV6PS7A","short_pith_number":"pith:B5FCKZMB","canonical_record":{"source":{"id":"1504.06308","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-23T19:42:28Z","cross_cats_sorted":[],"title_canon_sha256":"2f1e248b23cd5311b8e6c8a2c1a022c15402b043bc7cd063894722d73189670a","abstract_canon_sha256":"3df8cdd01de7bf054c26f750b67d8b40d0e3105288dc70837e3d4ee789a8b1bc"},"schema_version":"1.0"},"canonical_sha256":"0f4a2565814dc5f831d8ff532af9f2f83fa226e7af8242d927a55460384b280a","source":{"kind":"arxiv","id":"1504.06308","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.06308","created_at":"2026-05-18T01:32:29Z"},{"alias_kind":"arxiv_version","alias_value":"1504.06308v3","created_at":"2026-05-18T01:32:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06308","created_at":"2026-05-18T01:32:29Z"},{"alias_kind":"pith_short_12","alias_value":"B5FCKZMBJXC7","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"B5FCKZMBJXC7QMOY","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"B5FCKZMB","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:B5FCKZMBJXC7QMOY75JSV6PS7A","target":"record","payload":{"canonical_record":{"source":{"id":"1504.06308","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-23T19:42:28Z","cross_cats_sorted":[],"title_canon_sha256":"2f1e248b23cd5311b8e6c8a2c1a022c15402b043bc7cd063894722d73189670a","abstract_canon_sha256":"3df8cdd01de7bf054c26f750b67d8b40d0e3105288dc70837e3d4ee789a8b1bc"},"schema_version":"1.0"},"canonical_sha256":"0f4a2565814dc5f831d8ff532af9f2f83fa226e7af8242d927a55460384b280a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:29.684133Z","signature_b64":"H8salKZXkfUq/++tdwE7W8LSBuhZnQYRNF1JpMJH2MdBy3VrHF4UGgSjQq9jQiDSMuKkOAyXGEPjQV+6jfZMDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f4a2565814dc5f831d8ff532af9f2f83fa226e7af8242d927a55460384b280a","last_reissued_at":"2026-05-18T01:32:29.683419Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:29.683419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.06308","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:32:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2hLo3J96HaWVkN9nPc3Y4pKRXNCP+EzvWsQKFIMlVqn+LFehNggQQaVEbww2qCC1PADls5uGzUzpGd9iIJDDAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:38:22.813770Z"},"content_sha256":"1dd4ec9d5a0f2ee69a96e39f8ecffdec6d271b3462e69fdc010703aa6c1b0af3","schema_version":"1.0","event_id":"sha256:1dd4ec9d5a0f2ee69a96e39f8ecffdec6d271b3462e69fdc010703aa6c1b0af3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:B5FCKZMBJXC7QMOY75JSV6PS7A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The equivariant A-twist and gauged linear sigma models on the two-sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cyril Closset, Daniel S. Park, Stefano Cremonesi","submitted_at":"2015-04-23T19:42:28Z","abstract_excerpt":"We study two-dimensional $\\mathcal{N}=(2,2)$ supersymmetric gauged linear sigma models (GLSM) on the $\\Omega$-deformed sphere, $S^2_\\Omega$, which is a one-parameter deformation of the $A$-twisted sphere. We provide an exact formula for the $S^2_\\Omega$ supersymmetric correlation functions using supersymmetric localization. The contribution of each instanton sector is given in terms of a Jeffrey-Kirwan residue on the Coulomb branch. In the limit of vanishing $\\Omega$-deformation, the localization formula greatly simplifies the computation of $A$-twisted correlation functions, and leads to new "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06308","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:32:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tvwPfqHYaUkEdf6UMeWHdunOSREaFIrnxeu17kd/ZEWZ22DIvdn1IjilWV44NFLNltGnJWhvMFF/rhaw5y70Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:38:22.814415Z"},"content_sha256":"aa7d2d8d7f97be26e1e40031ef5d64ea7ee90b4cefc467aef9a8d789730eb7a0","schema_version":"1.0","event_id":"sha256:aa7d2d8d7f97be26e1e40031ef5d64ea7ee90b4cefc467aef9a8d789730eb7a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B5FCKZMBJXC7QMOY75JSV6PS7A/bundle.json","state_url":"https://pith.science/pith/B5FCKZMBJXC7QMOY75JSV6PS7A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B5FCKZMBJXC7QMOY75JSV6PS7A/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":"2026-06-06T19:38:22Z","links":{"resolver":"https://pith.science/pith/B5FCKZMBJXC7QMOY75JSV6PS7A","bundle":"https://pith.science/pith/B5FCKZMBJXC7QMOY75JSV6PS7A/bundle.json","state":"https://pith.science/pith/B5FCKZMBJXC7QMOY75JSV6PS7A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B5FCKZMBJXC7QMOY75JSV6PS7A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:B5FCKZMBJXC7QMOY75JSV6PS7A","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":"3df8cdd01de7bf054c26f750b67d8b40d0e3105288dc70837e3d4ee789a8b1bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-23T19:42:28Z","title_canon_sha256":"2f1e248b23cd5311b8e6c8a2c1a022c15402b043bc7cd063894722d73189670a"},"schema_version":"1.0","source":{"id":"1504.06308","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.06308","created_at":"2026-05-18T01:32:29Z"},{"alias_kind":"arxiv_version","alias_value":"1504.06308v3","created_at":"2026-05-18T01:32:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06308","created_at":"2026-05-18T01:32:29Z"},{"alias_kind":"pith_short_12","alias_value":"B5FCKZMBJXC7","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"B5FCKZMBJXC7QMOY","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"B5FCKZMB","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:aa7d2d8d7f97be26e1e40031ef5d64ea7ee90b4cefc467aef9a8d789730eb7a0","target":"graph","created_at":"2026-05-18T01:32:29Z","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 study two-dimensional $\\mathcal{N}=(2,2)$ supersymmetric gauged linear sigma models (GLSM) on the $\\Omega$-deformed sphere, $S^2_\\Omega$, which is a one-parameter deformation of the $A$-twisted sphere. We provide an exact formula for the $S^2_\\Omega$ supersymmetric correlation functions using supersymmetric localization. The contribution of each instanton sector is given in terms of a Jeffrey-Kirwan residue on the Coulomb branch. In the limit of vanishing $\\Omega$-deformation, the localization formula greatly simplifies the computation of $A$-twisted correlation functions, and leads to new ","authors_text":"Cyril Closset, Daniel S. Park, Stefano Cremonesi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-23T19:42:28Z","title":"The equivariant A-twist and gauged linear sigma models on the two-sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06308","kind":"arxiv","version":3},"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":"sha256:1dd4ec9d5a0f2ee69a96e39f8ecffdec6d271b3462e69fdc010703aa6c1b0af3","target":"record","created_at":"2026-05-18T01:32:29Z","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":"3df8cdd01de7bf054c26f750b67d8b40d0e3105288dc70837e3d4ee789a8b1bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-23T19:42:28Z","title_canon_sha256":"2f1e248b23cd5311b8e6c8a2c1a022c15402b043bc7cd063894722d73189670a"},"schema_version":"1.0","source":{"id":"1504.06308","kind":"arxiv","version":3}},"canonical_sha256":"0f4a2565814dc5f831d8ff532af9f2f83fa226e7af8242d927a55460384b280a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f4a2565814dc5f831d8ff532af9f2f83fa226e7af8242d927a55460384b280a","first_computed_at":"2026-05-18T01:32:29.683419Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:29.683419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H8salKZXkfUq/++tdwE7W8LSBuhZnQYRNF1JpMJH2MdBy3VrHF4UGgSjQq9jQiDSMuKkOAyXGEPjQV+6jfZMDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:29.684133Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.06308","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dd4ec9d5a0f2ee69a96e39f8ecffdec6d271b3462e69fdc010703aa6c1b0af3","sha256:aa7d2d8d7f97be26e1e40031ef5d64ea7ee90b4cefc467aef9a8d789730eb7a0"],"state_sha256":"109eeeb0d1091f43d52cbd28e00c76686f19324dfd2195e146505c9a380daa30"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6YU9faoIzvztGo6Rcq0gZMDvq+uUMxC3tVOxboC8AfovJIiOPwKo990lN3IjBQqX8nqmVQJ1yhSW0zRJWTOxDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:38:22.817640Z","bundle_sha256":"8da22cc4790885fd110e96efae94b298b06cb81fd5c770268292f3fcb9e409c9"}}