{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1993:MS5IWIAFFIVD3L2UPTG62DEHJS","short_pith_number":"pith:MS5IWIAF","schema_version":"1.0","canonical_sha256":"64ba8b20052a2a3daf547ccded0c874cae3c0d194c62fcdc38634b8738afd5fd","source":{"kind":"arxiv","id":"hep-th/9308146","version":1},"attestation_state":"computed","paper":{"title":"Finite and Infinite W Algebras and their Applications","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"T.Tjin","submitted_at":"1993-08-30T12:32:20Z","abstract_excerpt":"In this paper we present a systematic study of $W$ algebras from the Hamiltonian reduction point of view. The Drinfeld-Sokolov (DS) reduction scheme is generalized to arbitrary $sl_2$ embeddings thus showing that a large class of W algebras can be viewed as reductions of affine Lie algebras. The hierarchies of integrable evolution equations associated to these classical W algebras are constructed as well as the generalized Toda field theories which have them as Noether symmetry algebras. The problem of quantising the DS reductions is solved for arbitrary $sl_2$ embeddings and it is shown that "},"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":"hep-th/9308146","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-08-30T12:32:20Z","cross_cats_sorted":[],"title_canon_sha256":"723bdec1946160eb359864fb6804ccd8f1189e363f29e96e58bf254c33267e90","abstract_canon_sha256":"50711328390dbf054c52e084bca74feba90b9d01575a2562a76d1f7c343655d0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:32:38.402055Z","signature_b64":"1/ZmkCypROdeeSlAERF2ysZwJmYXpLXBss7wLTivW+rNClxVs9AX+tDaJ0/YogLoPCRtfnRlHdxiMvA7/VZHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64ba8b20052a2a3daf547ccded0c874cae3c0d194c62fcdc38634b8738afd5fd","last_reissued_at":"2026-07-04T14:32:38.401691Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:32:38.401691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite and Infinite W Algebras and their Applications","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"T.Tjin","submitted_at":"1993-08-30T12:32:20Z","abstract_excerpt":"In this paper we present a systematic study of $W$ algebras from the Hamiltonian reduction point of view. The Drinfeld-Sokolov (DS) reduction scheme is generalized to arbitrary $sl_2$ embeddings thus showing that a large class of W algebras can be viewed as reductions of affine Lie algebras. The hierarchies of integrable evolution equations associated to these classical W algebras are constructed as well as the generalized Toda field theories which have them as Noether symmetry algebras. The problem of quantising the DS reductions is solved for arbitrary $sl_2$ embeddings and it is shown that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9308146","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9308146/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":"hep-th/9308146","created_at":"2026-07-04T14:32:38.401747+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9308146v1","created_at":"2026-07-04T14:32:38.401747+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9308146","created_at":"2026-07-04T14:32:38.401747+00:00"},{"alias_kind":"pith_short_12","alias_value":"MS5IWIAFFIVD","created_at":"2026-07-04T14:32:38.401747+00:00"},{"alias_kind":"pith_short_16","alias_value":"MS5IWIAFFIVD3L2U","created_at":"2026-07-04T14:32:38.401747+00:00"},{"alias_kind":"pith_short_8","alias_value":"MS5IWIAF","created_at":"2026-07-04T14:32:38.401747+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.16463","citing_title":"Higher-order chiral scalar from boundary reduction of 3d higher-spin gravity","ref_index":69,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MS5IWIAFFIVD3L2UPTG62DEHJS","json":"https://pith.science/pith/MS5IWIAFFIVD3L2UPTG62DEHJS.json","graph_json":"https://pith.science/api/pith-number/MS5IWIAFFIVD3L2UPTG62DEHJS/graph.json","events_json":"https://pith.science/api/pith-number/MS5IWIAFFIVD3L2UPTG62DEHJS/events.json","paper":"https://pith.science/paper/MS5IWIAF"},"agent_actions":{"view_html":"https://pith.science/pith/MS5IWIAFFIVD3L2UPTG62DEHJS","download_json":"https://pith.science/pith/MS5IWIAFFIVD3L2UPTG62DEHJS.json","view_paper":"https://pith.science/paper/MS5IWIAF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9308146&json=true","fetch_graph":"https://pith.science/api/pith-number/MS5IWIAFFIVD3L2UPTG62DEHJS/graph.json","fetch_events":"https://pith.science/api/pith-number/MS5IWIAFFIVD3L2UPTG62DEHJS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MS5IWIAFFIVD3L2UPTG62DEHJS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MS5IWIAFFIVD3L2UPTG62DEHJS/action/storage_attestation","attest_author":"https://pith.science/pith/MS5IWIAFFIVD3L2UPTG62DEHJS/action/author_attestation","sign_citation":"https://pith.science/pith/MS5IWIAFFIVD3L2UPTG62DEHJS/action/citation_signature","submit_replication":"https://pith.science/pith/MS5IWIAFFIVD3L2UPTG62DEHJS/action/replication_record"}},"created_at":"2026-07-04T14:32:38.401747+00:00","updated_at":"2026-07-04T14:32:38.401747+00:00"}