{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:ZQSRTFXVBS6EYGDUUDBH7PMBG2","short_pith_number":"pith:ZQSRTFXV","canonical_record":{"source":{"id":"hep-th/0012190","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-12-20T14:44:53Z","cross_cats_sorted":[],"title_canon_sha256":"ce23759e76dc93639cb24239c326458ad1aa29a37236ea37882a9a3333b1fdda","abstract_canon_sha256":"168c1c424f9b010fc872bd6de4be2b25ec63868f5e4b05c1ebc2f59d13c2912c"},"schema_version":"1.0"},"canonical_sha256":"cc251996f50cbc4c1874a0c27fbd8136aa5299e30abc671624389a5a2866dde7","source":{"kind":"arxiv","id":"hep-th/0012190","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0012190","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0012190v3","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0012190","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"pith_short_12","alias_value":"ZQSRTFXVBS6E","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"pith_short_16","alias_value":"ZQSRTFXVBS6EYGDU","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"pith_short_8","alias_value":"ZQSRTFXV","created_at":"2026-07-04T15:20:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:ZQSRTFXVBS6EYGDUUDBH7PMBG2","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0012190","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-12-20T14:44:53Z","cross_cats_sorted":[],"title_canon_sha256":"ce23759e76dc93639cb24239c326458ad1aa29a37236ea37882a9a3333b1fdda","abstract_canon_sha256":"168c1c424f9b010fc872bd6de4be2b25ec63868f5e4b05c1ebc2f59d13c2912c"},"schema_version":"1.0"},"canonical_sha256":"cc251996f50cbc4c1874a0c27fbd8136aa5299e30abc671624389a5a2866dde7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:20:56.531651Z","signature_b64":"nZMLeWtuT+/A6miBNrFl8ZUrFmMP4h8WdID8dv30F5FCirDND9nLP+XIi+iKrmOLKm1AbxX2o8aOAtt2RaNIBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc251996f50cbc4c1874a0c27fbd8136aa5299e30abc671624389a5a2866dde7","last_reissued_at":"2026-07-04T15:20:56.531308Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:20:56.531308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0012190","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:20:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tGJC3xlNYe9h9SPr5skRfix345lj7EARGKKcOQoLOT/22HcY9t3GlC2WHHCHqwdonZkDh/RMyxWgXNph9CHJCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T17:49:46.538680Z"},"content_sha256":"649096fe0675c092b16621d281e5008d1c87529218f32e115d5a342bb019f275","schema_version":"1.0","event_id":"sha256:649096fe0675c092b16621d281e5008d1c87529218f32e115d5a342bb019f275"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:ZQSRTFXVBS6EYGDUUDBH7PMBG2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometry of W-algebras from the affine Lie algebra point of view","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D. Nogradi, Z. Bajnok","submitted_at":"2000-12-20T14:44:53Z","abstract_excerpt":"To classify the classical field theories with W-symmetry one has to classify the symplectic leaves of the corresponding W-algebra, which are the intersection of the defining constraint and the coadjoint orbit of the affine Lie algebra if the W-algebra in question is obtained by reducing a WZNW model. The fields that survive the reduction will obey non-linear Poisson bracket (or commutator) relations in general. For example the Toda models are well-known theories which possess such a non-linear W-symmetry and many features of these models can only be understood if one investigates the reduction"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0012190","kind":"arxiv","version":3},"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/0012190/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:20:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PGb4MAsJUU6GinXR0CWmGYnlY7jhhOg9qO4xyDPrjOV2K54oNbe8HNWOwDhfeDL3O/ECA2tj5YipjWsIKMENBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T17:49:46.539198Z"},"content_sha256":"6550cf9f0364e03e4daf7ff0e5e222e82fa276119ae563ba1559011409453076","schema_version":"1.0","event_id":"sha256:6550cf9f0364e03e4daf7ff0e5e222e82fa276119ae563ba1559011409453076"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZQSRTFXVBS6EYGDUUDBH7PMBG2/bundle.json","state_url":"https://pith.science/pith/ZQSRTFXVBS6EYGDUUDBH7PMBG2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZQSRTFXVBS6EYGDUUDBH7PMBG2/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":"2026-08-12T17:49:46Z","links":{"resolver":"https://pith.science/pith/ZQSRTFXVBS6EYGDUUDBH7PMBG2","bundle":"https://pith.science/pith/ZQSRTFXVBS6EYGDUUDBH7PMBG2/bundle.json","state":"https://pith.science/pith/ZQSRTFXVBS6EYGDUUDBH7PMBG2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZQSRTFXVBS6EYGDUUDBH7PMBG2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:ZQSRTFXVBS6EYGDUUDBH7PMBG2","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":"168c1c424f9b010fc872bd6de4be2b25ec63868f5e4b05c1ebc2f59d13c2912c","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-12-20T14:44:53Z","title_canon_sha256":"ce23759e76dc93639cb24239c326458ad1aa29a37236ea37882a9a3333b1fdda"},"schema_version":"1.0","source":{"id":"hep-th/0012190","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0012190","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0012190v3","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0012190","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"pith_short_12","alias_value":"ZQSRTFXVBS6E","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"pith_short_16","alias_value":"ZQSRTFXVBS6EYGDU","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"pith_short_8","alias_value":"ZQSRTFXV","created_at":"2026-07-04T15:20:56Z"}],"graph_snapshots":[{"event_id":"sha256:6550cf9f0364e03e4daf7ff0e5e222e82fa276119ae563ba1559011409453076","target":"graph","created_at":"2026-07-04T15:20:56Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0012190/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"To classify the classical field theories with W-symmetry one has to classify the symplectic leaves of the corresponding W-algebra, which are the intersection of the defining constraint and the coadjoint orbit of the affine Lie algebra if the W-algebra in question is obtained by reducing a WZNW model. The fields that survive the reduction will obey non-linear Poisson bracket (or commutator) relations in general. For example the Toda models are well-known theories which possess such a non-linear W-symmetry and many features of these models can only be understood if one investigates the reduction","authors_text":"D. Nogradi, Z. Bajnok","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-12-20T14:44:53Z","title":"Geometry of W-algebras from the affine Lie algebra point of view"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0012190","kind":"arxiv","version":3},"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":"sha256:649096fe0675c092b16621d281e5008d1c87529218f32e115d5a342bb019f275","target":"record","created_at":"2026-07-04T15:20:56Z","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":"168c1c424f9b010fc872bd6de4be2b25ec63868f5e4b05c1ebc2f59d13c2912c","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-12-20T14:44:53Z","title_canon_sha256":"ce23759e76dc93639cb24239c326458ad1aa29a37236ea37882a9a3333b1fdda"},"schema_version":"1.0","source":{"id":"hep-th/0012190","kind":"arxiv","version":3}},"canonical_sha256":"cc251996f50cbc4c1874a0c27fbd8136aa5299e30abc671624389a5a2866dde7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc251996f50cbc4c1874a0c27fbd8136aa5299e30abc671624389a5a2866dde7","first_computed_at":"2026-07-04T15:20:56.531308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:56.531308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nZMLeWtuT+/A6miBNrFl8ZUrFmMP4h8WdID8dv30F5FCirDND9nLP+XIi+iKrmOLKm1AbxX2o8aOAtt2RaNIBw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:56.531651Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0012190","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:649096fe0675c092b16621d281e5008d1c87529218f32e115d5a342bb019f275","sha256:6550cf9f0364e03e4daf7ff0e5e222e82fa276119ae563ba1559011409453076"],"state_sha256":"f2839d4b9dca537860d22d20eeebd49507d9a9b90bdc75be9917e443adcaf630"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K+1ZxjGeJaC31gkKooPJLtsXRoyNsUf3V04kZkR8IP3Klu23tVmjmiZpFGHRkJEgZLWeumiKBMJrR6knehf2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T17:49:46.543493Z","bundle_sha256":"c6d9b8e45bc6e5ed6adc324b9d7c13791db0be43a2fbd91eaa0a21dd6def1339"}}