{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1991:2XXJPJ5UEEMTSACOE2Q3LDTXCZ","short_pith_number":"pith:2XXJPJ5U","canonical_record":{"source":{"id":"hep-th/9111046","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1991-11-22T18:46:27Z","cross_cats_sorted":[],"title_canon_sha256":"0f514e2571fd6f555fb6d6d66930f29c33c61ea271acd588e0254f761e3811eb","abstract_canon_sha256":"3e39fe71b7741380a5a43a56311b46caf59ac76c5bf7486f8af853c14e756bf2"},"schema_version":"1.0"},"canonical_sha256":"d5ee97a7b4211939004e26a1b58e77165b492e4eb14585d4fa5a7b971db0df49","source":{"kind":"arxiv","id":"hep-th/9111046","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9111046","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9111046v1","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9111046","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"2XXJPJ5UEEMT","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"2XXJPJ5UEEMTSACO","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"2XXJPJ5U","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1991:2XXJPJ5UEEMTSACOE2Q3LDTXCZ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9111046","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1991-11-22T18:46:27Z","cross_cats_sorted":[],"title_canon_sha256":"0f514e2571fd6f555fb6d6d66930f29c33c61ea271acd588e0254f761e3811eb","abstract_canon_sha256":"3e39fe71b7741380a5a43a56311b46caf59ac76c5bf7486f8af853c14e756bf2"},"schema_version":"1.0"},"canonical_sha256":"d5ee97a7b4211939004e26a1b58e77165b492e4eb14585d4fa5a7b971db0df49","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:45.108063Z","signature_b64":"ItKUuXsXUDqFz162hqLj5ry5ZXve2Xz5EZw1Ojb8PjcG59l7aQQm8xoztH7sMP7npilAEDiOKV1mTaFHKGrRAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5ee97a7b4211939004e26a1b58e77165b492e4eb14585d4fa5a7b971db0df49","last_reissued_at":"2026-05-18T01:38:45.107688Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:45.107688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9111046","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zz11PWjSWNukr9lUEgr8LqzxKa9lPqCjRg+mif0XAj5bwL40U/iRUJ02TwnXLE8HLm28f6FLApOpPyPeS8AlCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:11:14.983949Z"},"content_sha256":"803244f8d9034750599fcf4f1ac7d5a20602f015c9cc23997d0cac82e9bb6d7c","schema_version":"1.0","event_id":"sha256:803244f8d9034750599fcf4f1ac7d5a20602f015c9cc23997d0cac82e9bb6d7c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1991:2XXJPJ5UEEMTSACOE2Q3LDTXCZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the classical $W_N^{(l)}$ algebras","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D.A.Depireux, P.Mathieu","submitted_at":"1991-11-22T18:46:27Z","abstract_excerpt":"We analyze the W_N^l algebras according to their conjectured realization as the second Hamiltonian structure of the integrable hierarchy resulting from the interchange of x and t in the l^{th} flow of the sl(N) KdV hierarchy. The W_4^3 algebra is derived explicitly along these lines, thus providing further support for the conjecture. This algebra is found to be equivalent to that obtained by the method of Hamiltonian reduction. Furthermore, its twisted version reproduces the algebra associated to a certain non-principal embedding of sl(2) into sl(4), or equivalently, the u(2) quasi-superconfor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9111046","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kfss0quhayx/Q++lRqG1CMG0Nczd5qnlTiveRHdIqTvXqrdTzrsv6/VH0/clZtJ3fx4SM4EqWzoVbGOkFuASAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:11:14.984296Z"},"content_sha256":"3afe6557ce0786ba6c136a6b4c09e62bd4cc08bb5e16a2976adf96fdeff333de","schema_version":"1.0","event_id":"sha256:3afe6557ce0786ba6c136a6b4c09e62bd4cc08bb5e16a2976adf96fdeff333de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2XXJPJ5UEEMTSACOE2Q3LDTXCZ/bundle.json","state_url":"https://pith.science/pith/2XXJPJ5UEEMTSACOE2Q3LDTXCZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2XXJPJ5UEEMTSACOE2Q3LDTXCZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T20:11:14Z","links":{"resolver":"https://pith.science/pith/2XXJPJ5UEEMTSACOE2Q3LDTXCZ","bundle":"https://pith.science/pith/2XXJPJ5UEEMTSACOE2Q3LDTXCZ/bundle.json","state":"https://pith.science/pith/2XXJPJ5UEEMTSACOE2Q3LDTXCZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2XXJPJ5UEEMTSACOE2Q3LDTXCZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1991:2XXJPJ5UEEMTSACOE2Q3LDTXCZ","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":"3e39fe71b7741380a5a43a56311b46caf59ac76c5bf7486f8af853c14e756bf2","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1991-11-22T18:46:27Z","title_canon_sha256":"0f514e2571fd6f555fb6d6d66930f29c33c61ea271acd588e0254f761e3811eb"},"schema_version":"1.0","source":{"id":"hep-th/9111046","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9111046","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9111046v1","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9111046","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"2XXJPJ5UEEMT","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"2XXJPJ5UEEMTSACO","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"2XXJPJ5U","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:3afe6557ce0786ba6c136a6b4c09e62bd4cc08bb5e16a2976adf96fdeff333de","target":"graph","created_at":"2026-05-18T01:38:45Z","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":"We analyze the W_N^l algebras according to their conjectured realization as the second Hamiltonian structure of the integrable hierarchy resulting from the interchange of x and t in the l^{th} flow of the sl(N) KdV hierarchy. The W_4^3 algebra is derived explicitly along these lines, thus providing further support for the conjecture. This algebra is found to be equivalent to that obtained by the method of Hamiltonian reduction. Furthermore, its twisted version reproduces the algebra associated to a certain non-principal embedding of sl(2) into sl(4), or equivalently, the u(2) quasi-superconfor","authors_text":"D.A.Depireux, P.Mathieu","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1991-11-22T18:46:27Z","title":"On the classical $W_N^{(l)}$ algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9111046","kind":"arxiv","version":1},"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":"sha256:803244f8d9034750599fcf4f1ac7d5a20602f015c9cc23997d0cac82e9bb6d7c","target":"record","created_at":"2026-05-18T01:38:45Z","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":"3e39fe71b7741380a5a43a56311b46caf59ac76c5bf7486f8af853c14e756bf2","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1991-11-22T18:46:27Z","title_canon_sha256":"0f514e2571fd6f555fb6d6d66930f29c33c61ea271acd588e0254f761e3811eb"},"schema_version":"1.0","source":{"id":"hep-th/9111046","kind":"arxiv","version":1}},"canonical_sha256":"d5ee97a7b4211939004e26a1b58e77165b492e4eb14585d4fa5a7b971db0df49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5ee97a7b4211939004e26a1b58e77165b492e4eb14585d4fa5a7b971db0df49","first_computed_at":"2026-05-18T01:38:45.107688Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:45.107688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ItKUuXsXUDqFz162hqLj5ry5ZXve2Xz5EZw1Ojb8PjcG59l7aQQm8xoztH7sMP7npilAEDiOKV1mTaFHKGrRAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:45.108063Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9111046","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:803244f8d9034750599fcf4f1ac7d5a20602f015c9cc23997d0cac82e9bb6d7c","sha256:3afe6557ce0786ba6c136a6b4c09e62bd4cc08bb5e16a2976adf96fdeff333de"],"state_sha256":"c8f2bf94b986a96a914fc72558558ded8c62097140739e11467d5dacefe70216"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yNBOTJ7JtDLuqkl2/baW2vpB3xo4QlgYtOQ6YivlgDp8kngTyoFbvq0BcMRdU5upjciO7ABpPiI0Iu/7bUJoDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:11:14.986332Z","bundle_sha256":"98257b8b8cdc28952bcfaf03f17d4210b68e6df9980cc0d1d312ac5e42efae5e"}}