{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:FZOVQPN77VZDFNG2SCADXA7OVU","short_pith_number":"pith:FZOVQPN7","schema_version":"1.0","canonical_sha256":"2e5d583dbffd7232b4da90803b83eead056682a92d53157049581c3b9b3d9e6a","source":{"kind":"arxiv","id":"1207.3577","version":1},"attestation_state":"computed","paper":{"title":"Bootstrapping the superconformal index with surface defects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Davide Gaiotto, Leonardo Rastelli, Shlomo S. Razamat","submitted_at":"2012-07-16T05:08:43Z","abstract_excerpt":"The analytic properties of the N = 2 superconformal index are given a physical interpretation in terms of certain BPS surface defects, which arise as the IR limit of supersymmetric vortices. The residue of the index at a pole in flavor fugacity is interpreted as the index of a superconformal field theory without this flavor symmetry, but endowed with an additional surface defect. The residue can be efficiently extracted by acting on the index with a difference operator of Ruijsenaars-Schneider type. By imposing the associativity constraints of S-duality, we are then able to evaluate the index "},"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":"1207.3577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-07-16T05:08:43Z","cross_cats_sorted":[],"title_canon_sha256":"cce144cecce6cf89d4a073f9847fd24111131b18a30bc92ec4019aa535b9ce94","abstract_canon_sha256":"bd4f38acdb1e06f33c12011ca916803c5a83c3cf26b81c4700ba8122f5d19a81"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:18.244932Z","signature_b64":"i5aBf+LYyP8bPGZwDY4Ovot3WFL5bZY2Q19aafa/accWGjTjQ/9qRibBUrhdZf1+4aMX0v5nJDz0nXMoRKNDBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e5d583dbffd7232b4da90803b83eead056682a92d53157049581c3b9b3d9e6a","last_reissued_at":"2026-05-18T01:56:18.244416Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:18.244416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bootstrapping the superconformal index with surface defects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Davide Gaiotto, Leonardo Rastelli, Shlomo S. Razamat","submitted_at":"2012-07-16T05:08:43Z","abstract_excerpt":"The analytic properties of the N = 2 superconformal index are given a physical interpretation in terms of certain BPS surface defects, which arise as the IR limit of supersymmetric vortices. The residue of the index at a pole in flavor fugacity is interpreted as the index of a superconformal field theory without this flavor symmetry, but endowed with an additional surface defect. The residue can be efficiently extracted by acting on the index with a difference operator of Ruijsenaars-Schneider type. By imposing the associativity constraints of S-duality, we are then able to evaluate the index "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.3577","kind":"arxiv","version":1},"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":"1207.3577","created_at":"2026-05-18T01:56:18.244492+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.3577v1","created_at":"2026-05-18T01:56:18.244492+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.3577","created_at":"2026-05-18T01:56:18.244492+00:00"},{"alias_kind":"pith_short_12","alias_value":"FZOVQPN77VZD","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"FZOVQPN77VZDFNG2","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"FZOVQPN7","created_at":"2026-05-18T12:27:06.952714+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2512.02107","citing_title":"Generalised 4d Partition Functions and Modular Differential Equations","ref_index":30,"is_internal_anchor":true},{"citing_arxiv_id":"2604.26418","citing_title":"Quarter-indices for basic ortho-symplectic corners","ref_index":18,"is_internal_anchor":false},{"citing_arxiv_id":"2604.19885","citing_title":"On non-relativistic integrable models and 4d SCFTs","ref_index":11,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FZOVQPN77VZDFNG2SCADXA7OVU","json":"https://pith.science/pith/FZOVQPN77VZDFNG2SCADXA7OVU.json","graph_json":"https://pith.science/api/pith-number/FZOVQPN77VZDFNG2SCADXA7OVU/graph.json","events_json":"https://pith.science/api/pith-number/FZOVQPN77VZDFNG2SCADXA7OVU/events.json","paper":"https://pith.science/paper/FZOVQPN7"},"agent_actions":{"view_html":"https://pith.science/pith/FZOVQPN77VZDFNG2SCADXA7OVU","download_json":"https://pith.science/pith/FZOVQPN77VZDFNG2SCADXA7OVU.json","view_paper":"https://pith.science/paper/FZOVQPN7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.3577&json=true","fetch_graph":"https://pith.science/api/pith-number/FZOVQPN77VZDFNG2SCADXA7OVU/graph.json","fetch_events":"https://pith.science/api/pith-number/FZOVQPN77VZDFNG2SCADXA7OVU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FZOVQPN77VZDFNG2SCADXA7OVU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FZOVQPN77VZDFNG2SCADXA7OVU/action/storage_attestation","attest_author":"https://pith.science/pith/FZOVQPN77VZDFNG2SCADXA7OVU/action/author_attestation","sign_citation":"https://pith.science/pith/FZOVQPN77VZDFNG2SCADXA7OVU/action/citation_signature","submit_replication":"https://pith.science/pith/FZOVQPN77VZDFNG2SCADXA7OVU/action/replication_record"}},"created_at":"2026-05-18T01:56:18.244492+00:00","updated_at":"2026-05-18T01:56:18.244492+00:00"}