{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RFILXCCEQXC4GF64B5XZOIBFD6","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"134e8f562649601a7660bfcf92a4d2323095ef0352e8289dbcfc37f981e197a5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-01T22:58:37Z","title_canon_sha256":"a939fc73a6e4268f903893236283a0b5dcf3694e5339e7646e906a997d96b455"},"schema_version":"1.0","source":{"id":"1705.00736","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00736","created_at":"2026-05-18T00:38:53Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00736v2","created_at":"2026-05-18T00:38:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00736","created_at":"2026-05-18T00:38:53Z"},{"alias_kind":"pith_short_12","alias_value":"RFILXCCEQXC4","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RFILXCCEQXC4GF64","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RFILXCCE","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:d82f8e98bedeabc3085aef1ff2d8a5df6f290a413879f09246943dc16293e071","target":"graph","created_at":"2026-05-18T00:38:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Matthias Traube, Michael Fuchs, Ralph Blumenhagen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-01T22:58:37Z","title":"${\\cal W}$ algebras are L$_\\infty$ algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00736","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2b536f52db59d0e9ed1839aaa6ffaf530616443b0a2e1d2c5b627efe701e39be","target":"record","created_at":"2026-05-18T00:38:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"134e8f562649601a7660bfcf92a4d2323095ef0352e8289dbcfc37f981e197a5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-01T22:58:37Z","title_canon_sha256":"a939fc73a6e4268f903893236283a0b5dcf3694e5339e7646e906a997d96b455"},"schema_version":"1.0","source":{"id":"1705.00736","kind":"arxiv","version":2}},"canonical_sha256":"8950bb884485c5c317dc0f6f9720251f905343ed54c05e72af7949efdd06410b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8950bb884485c5c317dc0f6f9720251f905343ed54c05e72af7949efdd06410b","first_computed_at":"2026-05-18T00:38:53.127535Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:53.127535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hUBCdxxjYCF0wKyyOQKWeN+tkknbiilDNAhyLTnrSjYPU1nRMO1dlzyM2x/k3UoWOlyCY+PRvOZa5X16MAlPAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:53.128117Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00736","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b536f52db59d0e9ed1839aaa6ffaf530616443b0a2e1d2c5b627efe701e39be","sha256:d82f8e98bedeabc3085aef1ff2d8a5df6f290a413879f09246943dc16293e071"],"state_sha256":"6396cbf821984faa6ebdbcb79b2a6213018c21f344fc5b971940963381fb7e52"}