{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:RWCGE3PPMS2MOVFCEJH7MRSSEF","short_pith_number":"pith:RWCGE3PP","schema_version":"1.0","canonical_sha256":"8d84626def64b4c754a2224ff64652216b12f9f2599263e7e0494953e11e6cb9","source":{"kind":"arxiv","id":"1907.08629","version":2},"attestation_state":"computed","paper":{"title":"VOAs and rank-two instanton SCFTs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Carlo Meneghelli, Christopher Beem, Leonardo Rastelli, Wolfger Peelaers","submitted_at":"2019-07-19T18:00:00Z","abstract_excerpt":"We analyze the N=2 superconformal field theories that arise when a pair of D3-branes probe an F-theory singularity from the perspective of the associated vertex operator algebra. We identify these vertex operator algebras for all cases; we find that they have a completely uniform description, parameterized by the dual Coxeter number of the corresponding global symmetry group. We further present free field realizations for these algebras in the style of recent work by three of the authors. These realizations transparently reflect the algebraic structure of the Higgs branches of these theories. "},"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":"1907.08629","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-07-19T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"4a6eca0e7c5261e805d510a82e9b44eb4dede917b250cb93d294d40eaec2d054","abstract_canon_sha256":"0fd8017d1b483b01e2425fd49c6a289e8af8d691362286f4df9aac529970f057"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:17:37.913999Z","signature_b64":"Jbdqo59nUPPvYp3klmOCNJrC/Y+LhfKY7NO7UVG/ZcW+wzYlJxa2+xbuixsBsaWW0X73b9+QW8vEKsdxm1IJBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d84626def64b4c754a2224ff64652216b12f9f2599263e7e0494953e11e6cb9","last_reissued_at":"2026-07-05T01:17:37.913437Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:17:37.913437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"VOAs and rank-two instanton SCFTs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Carlo Meneghelli, Christopher Beem, Leonardo Rastelli, Wolfger Peelaers","submitted_at":"2019-07-19T18:00:00Z","abstract_excerpt":"We analyze the N=2 superconformal field theories that arise when a pair of D3-branes probe an F-theory singularity from the perspective of the associated vertex operator algebra. We identify these vertex operator algebras for all cases; we find that they have a completely uniform description, parameterized by the dual Coxeter number of the corresponding global symmetry group. We further present free field realizations for these algebras in the style of recent work by three of the authors. These realizations transparently reflect the algebraic structure of the Higgs branches of these theories. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.08629","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1907.08629/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1907.08629","created_at":"2026-07-05T01:17:37.913516+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.08629v2","created_at":"2026-07-05T01:17:37.913516+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.08629","created_at":"2026-07-05T01:17:37.913516+00:00"},{"alias_kind":"pith_short_12","alias_value":"RWCGE3PPMS2M","created_at":"2026-07-05T01:17:37.913516+00:00"},{"alias_kind":"pith_short_16","alias_value":"RWCGE3PPMS2MOVFC","created_at":"2026-07-05T01:17:37.913516+00:00"},{"alias_kind":"pith_short_8","alias_value":"RWCGE3PP","created_at":"2026-07-05T01:17:37.913516+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2602.15944","citing_title":"Towards a classification of graded unitary ${\\mathcal W}_3$ algebras","ref_index":6,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RWCGE3PPMS2MOVFCEJH7MRSSEF","json":"https://pith.science/pith/RWCGE3PPMS2MOVFCEJH7MRSSEF.json","graph_json":"https://pith.science/api/pith-number/RWCGE3PPMS2MOVFCEJH7MRSSEF/graph.json","events_json":"https://pith.science/api/pith-number/RWCGE3PPMS2MOVFCEJH7MRSSEF/events.json","paper":"https://pith.science/paper/RWCGE3PP"},"agent_actions":{"view_html":"https://pith.science/pith/RWCGE3PPMS2MOVFCEJH7MRSSEF","download_json":"https://pith.science/pith/RWCGE3PPMS2MOVFCEJH7MRSSEF.json","view_paper":"https://pith.science/paper/RWCGE3PP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.08629&json=true","fetch_graph":"https://pith.science/api/pith-number/RWCGE3PPMS2MOVFCEJH7MRSSEF/graph.json","fetch_events":"https://pith.science/api/pith-number/RWCGE3PPMS2MOVFCEJH7MRSSEF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RWCGE3PPMS2MOVFCEJH7MRSSEF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RWCGE3PPMS2MOVFCEJH7MRSSEF/action/storage_attestation","attest_author":"https://pith.science/pith/RWCGE3PPMS2MOVFCEJH7MRSSEF/action/author_attestation","sign_citation":"https://pith.science/pith/RWCGE3PPMS2MOVFCEJH7MRSSEF/action/citation_signature","submit_replication":"https://pith.science/pith/RWCGE3PPMS2MOVFCEJH7MRSSEF/action/replication_record"}},"created_at":"2026-07-05T01:17:37.913516+00:00","updated_at":"2026-07-05T01:17:37.913516+00:00"}