{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:I7PGRVFLZ4G5EQRWJF4PGYSOBS","short_pith_number":"pith:I7PGRVFL","schema_version":"1.0","canonical_sha256":"47de68d4abcf0dd242364978f3624e0c9d5b1415d13152892b10cbc865181da6","source":{"kind":"arxiv","id":"1405.5144","version":3},"attestation_state":"computed","paper":{"title":"Localization on Hopf surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Benjamin Assel, Dario Martelli, Davide Cassani","submitted_at":"2014-05-20T16:14:20Z","abstract_excerpt":"We discuss localization of the path integral for supersymmetric gauge theories with an R-symmetry on Hermitian four-manifolds. After presenting the localization locus equations for the general case, we focus on backgrounds with S^1 x S^3 topology, admitting two supercharges of opposite R-charge. These are Hopf surfaces, with two complex structure moduli p,q. We compute the localized partition function on such Hopf surfaces, allowing for a very large class of Hermitian metrics, and prove that this is proportional to the supersymmetric index with fugacities p,q. Using zeta function regularisatio"},"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":"1405.5144","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-20T16:14:20Z","cross_cats_sorted":[],"title_canon_sha256":"1e019daecb602e5f26e845020712a8c45bc2ed17b4ea5540008c9b12cc9fed47","abstract_canon_sha256":"8ba7a26d8dbc632f467e85f9fb18311d139f643b77bc19b64c3e663ee5d65c76"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:10.217850Z","signature_b64":"7BvxrJByIB+CG0S94Rl21m3aW98kg/LwOnVBIoprb6bkJkjwJz4SIBxkto2WY2UX8S1pHtq7u+Um6C8wDtGbDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47de68d4abcf0dd242364978f3624e0c9d5b1415d13152892b10cbc865181da6","last_reissued_at":"2026-05-18T01:43:10.217087Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:10.217087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Localization on Hopf surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Benjamin Assel, Dario Martelli, Davide Cassani","submitted_at":"2014-05-20T16:14:20Z","abstract_excerpt":"We discuss localization of the path integral for supersymmetric gauge theories with an R-symmetry on Hermitian four-manifolds. After presenting the localization locus equations for the general case, we focus on backgrounds with S^1 x S^3 topology, admitting two supercharges of opposite R-charge. These are Hopf surfaces, with two complex structure moduli p,q. We compute the localized partition function on such Hopf surfaces, allowing for a very large class of Hermitian metrics, and prove that this is proportional to the supersymmetric index with fugacities p,q. Using zeta function regularisatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5144","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":"1405.5144","created_at":"2026-05-18T01:43:10.217214+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.5144v3","created_at":"2026-05-18T01:43:10.217214+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5144","created_at":"2026-05-18T01:43:10.217214+00:00"},{"alias_kind":"pith_short_12","alias_value":"I7PGRVFLZ4G5","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"I7PGRVFLZ4G5EQRW","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"I7PGRVFL","created_at":"2026-05-18T12:28:33.132498+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2409.18130","citing_title":"Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs","ref_index":77,"is_internal_anchor":true},{"citing_arxiv_id":"2508.08207","citing_title":"Equivariant localization for $D=5$ gauged supergravity","ref_index":41,"is_internal_anchor":true},{"citing_arxiv_id":"2604.27066","citing_title":"Perturbative Coulomb branches on $\\mathbb{R}^3\\times S^1$: the global D-term potential","ref_index":26,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I7PGRVFLZ4G5EQRWJF4PGYSOBS","json":"https://pith.science/pith/I7PGRVFLZ4G5EQRWJF4PGYSOBS.json","graph_json":"https://pith.science/api/pith-number/I7PGRVFLZ4G5EQRWJF4PGYSOBS/graph.json","events_json":"https://pith.science/api/pith-number/I7PGRVFLZ4G5EQRWJF4PGYSOBS/events.json","paper":"https://pith.science/paper/I7PGRVFL"},"agent_actions":{"view_html":"https://pith.science/pith/I7PGRVFLZ4G5EQRWJF4PGYSOBS","download_json":"https://pith.science/pith/I7PGRVFLZ4G5EQRWJF4PGYSOBS.json","view_paper":"https://pith.science/paper/I7PGRVFL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.5144&json=true","fetch_graph":"https://pith.science/api/pith-number/I7PGRVFLZ4G5EQRWJF4PGYSOBS/graph.json","fetch_events":"https://pith.science/api/pith-number/I7PGRVFLZ4G5EQRWJF4PGYSOBS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I7PGRVFLZ4G5EQRWJF4PGYSOBS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I7PGRVFLZ4G5EQRWJF4PGYSOBS/action/storage_attestation","attest_author":"https://pith.science/pith/I7PGRVFLZ4G5EQRWJF4PGYSOBS/action/author_attestation","sign_citation":"https://pith.science/pith/I7PGRVFLZ4G5EQRWJF4PGYSOBS/action/citation_signature","submit_replication":"https://pith.science/pith/I7PGRVFLZ4G5EQRWJF4PGYSOBS/action/replication_record"}},"created_at":"2026-05-18T01:43:10.217214+00:00","updated_at":"2026-05-18T01:43:10.217214+00:00"}