{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:FCKNIWA3FOX3ZXF27GGLVMTW2X","short_pith_number":"pith:FCKNIWA3","schema_version":"1.0","canonical_sha256":"2894d4581b2bafbcdcbaf98cbab276d5c1f7139fcfa8c80ee9d46926cbd2d71b","source":{"kind":"arxiv","id":"math-ph/0304011","version":2},"attestation_state":"computed","paper":{"title":"Quantum Reduction and Representation Theory of Superconformal Algebras","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Minoru Wakimoto, Victor Kac","submitted_at":"2003-04-07T18:18:57Z","abstract_excerpt":"We study the structure and representations of a family of vertex algebras obtained from affine superalgebras by quantum reduction. As an application, we obtain in a unified way free field realizations and determinant formulas for all superconformal algebras."},"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":"math-ph/0304011","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2003-04-07T18:18:57Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"904cbb693d4d6284676bbbf0d704a147ba6293305bf58bc5ba383316e6531cdc","abstract_canon_sha256":"8d5347113bdd48c4d527c7324a9fcf50e4fe5d74a7830f799054f32246642db7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:56.918269Z","signature_b64":"WCgReJaLbTPALF3nf21f+YaoNoFVcj+qPngCl21ygfUk0DXWBwWDsieTUyhLbKRwUFV2Q6UhRaEDSnaOTKfEDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2894d4581b2bafbcdcbaf98cbab276d5c1f7139fcfa8c80ee9d46926cbd2d71b","last_reissued_at":"2026-05-18T03:01:56.917372Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:56.917372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Reduction and Representation Theory of Superconformal Algebras","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Minoru Wakimoto, Victor Kac","submitted_at":"2003-04-07T18:18:57Z","abstract_excerpt":"We study the structure and representations of a family of vertex algebras obtained from affine superalgebras by quantum reduction. As an application, we obtain in a unified way free field realizations and determinant formulas for all superconformal algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0304011","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":""},"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":"math-ph/0304011","created_at":"2026-05-18T03:01:56.917520+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0304011v2","created_at":"2026-05-18T03:01:56.917520+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0304011","created_at":"2026-05-18T03:01:56.917520+00:00"},{"alias_kind":"pith_short_12","alias_value":"FCKNIWA3FOX3","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"FCKNIWA3FOX3ZXF2","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"FCKNIWA3","created_at":"2026-05-18T12:25:51.375804+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2605.19708","citing_title":"Reduction and inverse-reduction functors I: standard $\\mathsf{V^k}(\\mathfrak{sl}_2)$-modules","ref_index":49,"is_internal_anchor":true},{"citing_arxiv_id":"2509.01949","citing_title":"Free-field approaches to boundary $\\mathcal{W} \\big[ \\widehat{g} \\big] (p,p') $ minimal models","ref_index":28,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FCKNIWA3FOX3ZXF27GGLVMTW2X","json":"https://pith.science/pith/FCKNIWA3FOX3ZXF27GGLVMTW2X.json","graph_json":"https://pith.science/api/pith-number/FCKNIWA3FOX3ZXF27GGLVMTW2X/graph.json","events_json":"https://pith.science/api/pith-number/FCKNIWA3FOX3ZXF27GGLVMTW2X/events.json","paper":"https://pith.science/paper/FCKNIWA3"},"agent_actions":{"view_html":"https://pith.science/pith/FCKNIWA3FOX3ZXF27GGLVMTW2X","download_json":"https://pith.science/pith/FCKNIWA3FOX3ZXF27GGLVMTW2X.json","view_paper":"https://pith.science/paper/FCKNIWA3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0304011&json=true","fetch_graph":"https://pith.science/api/pith-number/FCKNIWA3FOX3ZXF27GGLVMTW2X/graph.json","fetch_events":"https://pith.science/api/pith-number/FCKNIWA3FOX3ZXF27GGLVMTW2X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FCKNIWA3FOX3ZXF27GGLVMTW2X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FCKNIWA3FOX3ZXF27GGLVMTW2X/action/storage_attestation","attest_author":"https://pith.science/pith/FCKNIWA3FOX3ZXF27GGLVMTW2X/action/author_attestation","sign_citation":"https://pith.science/pith/FCKNIWA3FOX3ZXF27GGLVMTW2X/action/citation_signature","submit_replication":"https://pith.science/pith/FCKNIWA3FOX3ZXF27GGLVMTW2X/action/replication_record"}},"created_at":"2026-05-18T03:01:56.917520+00:00","updated_at":"2026-05-18T03:01:56.917520+00:00"}