{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:XIMBZGZNM5RYZFOKDKQBD3E263","short_pith_number":"pith:XIMBZGZN","schema_version":"1.0","canonical_sha256":"ba181c9b2d67638c95ca1aa011ec9af6c23cbfb3f97da506d72d9ecc9ca2c5f0","source":{"kind":"arxiv","id":"1104.4482","version":3},"attestation_state":"computed","paper":{"title":"Relation between the 4d superconformal index and the S^3 partition function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yosuke Imamura","submitted_at":"2011-04-22T17:30:03Z","abstract_excerpt":"A relation between the 4d superconformal index and the S^3 partition function is studied with focus on the 4d and 3d actions used in localization. In the case of vanishing Chern-Simons levels and round S^3 we explicitly show that the 3d action is obtained from the 4d action by dimensional reduction up to terms which do not affect the exact results. By combining this fact and a recent proposal concerning a squashing of S^3 and SU(2) Wilson line, we obtain a formula which gives the partition function depending on the Weyl weight of chiral multiplets, real mass parameters, FI parameters, and a sq"},"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":"1104.4482","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-22T17:30:03Z","cross_cats_sorted":[],"title_canon_sha256":"e697ade8bc928f13a78f24109072104cad4b02e447a6fe58d1ddf2aeed62aeb5","abstract_canon_sha256":"1135a4d5354450b92f2bea4e0a00b6d907478baf2901802dd0da43293bb92ecb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:16.061604Z","signature_b64":"boGp05Td9pELKc7y9Ah+0cws/WvXWMzSF1otIdEl1ckETCMLNXSqp73QOLKXHb6jyVHlzpe6k0yYNu5A51ruBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba181c9b2d67638c95ca1aa011ec9af6c23cbfb3f97da506d72d9ecc9ca2c5f0","last_reissued_at":"2026-05-18T02:02:16.060674Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:16.060674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relation between the 4d superconformal index and the S^3 partition function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yosuke Imamura","submitted_at":"2011-04-22T17:30:03Z","abstract_excerpt":"A relation between the 4d superconformal index and the S^3 partition function is studied with focus on the 4d and 3d actions used in localization. In the case of vanishing Chern-Simons levels and round S^3 we explicitly show that the 3d action is obtained from the 4d action by dimensional reduction up to terms which do not affect the exact results. By combining this fact and a recent proposal concerning a squashing of S^3 and SU(2) Wilson line, we obtain a formula which gives the partition function depending on the Weyl weight of chiral multiplets, real mass parameters, FI parameters, and a sq"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4482","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1104.4482","created_at":"2026-05-18T02:02:16.060825+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.4482v3","created_at":"2026-05-18T02:02:16.060825+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4482","created_at":"2026-05-18T02:02:16.060825+00:00"},{"alias_kind":"pith_short_12","alias_value":"XIMBZGZNM5RY","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"XIMBZGZNM5RYZFOK","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"XIMBZGZN","created_at":"2026-05-18T12:26:44.992195+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/XIMBZGZNM5RYZFOKDKQBD3E263","json":"https://pith.science/pith/XIMBZGZNM5RYZFOKDKQBD3E263.json","graph_json":"https://pith.science/api/pith-number/XIMBZGZNM5RYZFOKDKQBD3E263/graph.json","events_json":"https://pith.science/api/pith-number/XIMBZGZNM5RYZFOKDKQBD3E263/events.json","paper":"https://pith.science/paper/XIMBZGZN"},"agent_actions":{"view_html":"https://pith.science/pith/XIMBZGZNM5RYZFOKDKQBD3E263","download_json":"https://pith.science/pith/XIMBZGZNM5RYZFOKDKQBD3E263.json","view_paper":"https://pith.science/paper/XIMBZGZN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.4482&json=true","fetch_graph":"https://pith.science/api/pith-number/XIMBZGZNM5RYZFOKDKQBD3E263/graph.json","fetch_events":"https://pith.science/api/pith-number/XIMBZGZNM5RYZFOKDKQBD3E263/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XIMBZGZNM5RYZFOKDKQBD3E263/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XIMBZGZNM5RYZFOKDKQBD3E263/action/storage_attestation","attest_author":"https://pith.science/pith/XIMBZGZNM5RYZFOKDKQBD3E263/action/author_attestation","sign_citation":"https://pith.science/pith/XIMBZGZNM5RYZFOKDKQBD3E263/action/citation_signature","submit_replication":"https://pith.science/pith/XIMBZGZNM5RYZFOKDKQBD3E263/action/replication_record"}},"created_at":"2026-05-18T02:02:16.060825+00:00","updated_at":"2026-05-18T02:02:16.060825+00:00"}