{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RFILXCCEQXC4GF64B5XZOIBFD6","short_pith_number":"pith:RFILXCCE","schema_version":"1.0","canonical_sha256":"8950bb884485c5c317dc0f6f9720251f905343ed54c05e72af7949efdd06410b","source":{"kind":"arxiv","id":"1705.00736","version":2},"attestation_state":"computed","paper":{"title":"${\\cal W}$ algebras are L$_\\infty$ algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Matthias Traube, Michael Fuchs, Ralph Blumenhagen","submitted_at":"2017-05-01T22:58:37Z","abstract_excerpt":"It is shown that the closure of the infinitesimal symmetry transformations underlying classical ${\\cal W}$ algebras give rise to L$_\\infty$ algebras with in general field dependent gauge parameters. Therefore, the class of well understood ${\\cal W}$ algebras provides highly non-trivial examples of such strong homotopy Lie-algebras. We develop the general formalism for this correspondence and apply it explicitly to the classical ${\\cal W}_3$ algebra."},"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":"1705.00736","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-01T22:58:37Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a939fc73a6e4268f903893236283a0b5dcf3694e5339e7646e906a997d96b455","abstract_canon_sha256":"134e8f562649601a7660bfcf92a4d2323095ef0352e8289dbcfc37f981e197a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:53.128117Z","signature_b64":"hUBCdxxjYCF0wKyyOQKWeN+tkknbiilDNAhyLTnrSjYPU1nRMO1dlzyM2x/k3UoWOlyCY+PRvOZa5X16MAlPAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8950bb884485c5c317dc0f6f9720251f905343ed54c05e72af7949efdd06410b","last_reissued_at":"2026-05-18T00:38:53.127535Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:53.127535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"${\\cal W}$ algebras are L$_\\infty$ algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Matthias Traube, Michael Fuchs, Ralph Blumenhagen","submitted_at":"2017-05-01T22:58:37Z","abstract_excerpt":"It is shown that the closure of the infinitesimal symmetry transformations underlying classical ${\\cal W}$ algebras give rise to L$_\\infty$ algebras with in general field dependent gauge parameters. Therefore, the class of well understood ${\\cal W}$ algebras provides highly non-trivial examples of such strong homotopy Lie-algebras. We develop the general formalism for this correspondence and apply it explicitly to the classical ${\\cal W}_3$ algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00736","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":"1705.00736","created_at":"2026-05-18T00:38:53.127652+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.00736v2","created_at":"2026-05-18T00:38:53.127652+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00736","created_at":"2026-05-18T00:38:53.127652+00:00"},{"alias_kind":"pith_short_12","alias_value":"RFILXCCEQXC4","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"RFILXCCEQXC4GF64","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"RFILXCCE","created_at":"2026-05-18T12:31:39.905425+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RFILXCCEQXC4GF64B5XZOIBFD6","json":"https://pith.science/pith/RFILXCCEQXC4GF64B5XZOIBFD6.json","graph_json":"https://pith.science/api/pith-number/RFILXCCEQXC4GF64B5XZOIBFD6/graph.json","events_json":"https://pith.science/api/pith-number/RFILXCCEQXC4GF64B5XZOIBFD6/events.json","paper":"https://pith.science/paper/RFILXCCE"},"agent_actions":{"view_html":"https://pith.science/pith/RFILXCCEQXC4GF64B5XZOIBFD6","download_json":"https://pith.science/pith/RFILXCCEQXC4GF64B5XZOIBFD6.json","view_paper":"https://pith.science/paper/RFILXCCE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.00736&json=true","fetch_graph":"https://pith.science/api/pith-number/RFILXCCEQXC4GF64B5XZOIBFD6/graph.json","fetch_events":"https://pith.science/api/pith-number/RFILXCCEQXC4GF64B5XZOIBFD6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RFILXCCEQXC4GF64B5XZOIBFD6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RFILXCCEQXC4GF64B5XZOIBFD6/action/storage_attestation","attest_author":"https://pith.science/pith/RFILXCCEQXC4GF64B5XZOIBFD6/action/author_attestation","sign_citation":"https://pith.science/pith/RFILXCCEQXC4GF64B5XZOIBFD6/action/citation_signature","submit_replication":"https://pith.science/pith/RFILXCCEQXC4GF64B5XZOIBFD6/action/replication_record"}},"created_at":"2026-05-18T00:38:53.127652+00:00","updated_at":"2026-05-18T00:38:53.127652+00:00"}