{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1991:M6V3H3BZ4353NI4RSNWTLO6TQS","short_pith_number":"pith:M6V3H3BZ","canonical_record":{"source":{"id":"hep-th/9109029","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1991-09-18T12:05:03Z","cross_cats_sorted":[],"title_canon_sha256":"1d995cb4d2be3684f6d3daf344bd00af845dbd051734d5d4af48d50779d41f8b","abstract_canon_sha256":"c1c463396ff38edb9c7952b3bdb9f523876427e0dc02512554a8958d624b8ee5"},"schema_version":"1.0"},"canonical_sha256":"67abb3ec39e6fbb6a391936d35bbd384bf8c425d73b1d4bc65a9183d6e4c6d9f","source":{"kind":"arxiv","id":"hep-th/9109029","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9109029","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9109029v1","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9109029","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"M6V3H3BZ4353","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"M6V3H3BZ4353NI4R","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"M6V3H3BZ","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1991:M6V3H3BZ4353NI4RSNWTLO6TQS","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9109029","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1991-09-18T12:05:03Z","cross_cats_sorted":[],"title_canon_sha256":"1d995cb4d2be3684f6d3daf344bd00af845dbd051734d5d4af48d50779d41f8b","abstract_canon_sha256":"c1c463396ff38edb9c7952b3bdb9f523876427e0dc02512554a8958d624b8ee5"},"schema_version":"1.0"},"canonical_sha256":"67abb3ec39e6fbb6a391936d35bbd384bf8c425d73b1d4bc65a9183d6e4c6d9f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:45.194811Z","signature_b64":"mta/pvswJ5OUqv1ohpBnza3zpBSfs1wQMqmYANEaq7gBHwJTy/wD2ypJs+4VM/BBm8KCi17965chry5CWXVOAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67abb3ec39e6fbb6a391936d35bbd384bf8c425d73b1d4bc65a9183d6e4c6d9f","last_reissued_at":"2026-05-18T01:38:45.194402Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:45.194402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9109029","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":"/PpvwEKGvfgIpuN75yrSCym1wv0nB8J00Vvn8Tl5AhgWeIuzI76w5AiNCefUfRcBCdqPPmTwIDGPyz6PNIDrCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:16:26.653210Z"},"content_sha256":"062021a0775960c9b94eee7a79e947b8774bbefdca6167d58dc83e356b1b646f","schema_version":"1.0","event_id":"sha256:062021a0775960c9b94eee7a79e947b8774bbefdca6167d58dc83e356b1b646f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1991:M6V3H3BZ4353NI4RSNWTLO6TQS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Beyond the Large N Limit: Non-linear W(infinity) as symmetry of the SL(2,R)/U(1) coset model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Kiritsis, I. Bakas","submitted_at":"1991-09-18T12:05:03Z","abstract_excerpt":"We show that the symmetry algebra of the $SL(2,R)_{k}/U(1)$ coset model is a non-linear deformation of $W_{\\infty}$, characterized by $k$. This is a universal $W$-algebra which linearizes in the large $k$ limit and truncates to $W_{N}$ for $k=-N$. Using the theory of non-compact parafermions we construct a free field realization of the non-linear $W_{\\infty}$ in terms of two bosons with background charge. The $W$-characters of all unitary $SL(2,R)/U(1)$ representations are computed. Applications to the physics of 2-d black hole backgrounds are also discussed and connections with the KP approac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9109029","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":"Y8Bipm8o90QgDCYsMSjRRsJohzLkWDptG79DpwY6MhIkh08cO64OOekVItv4anXi27Wp4xiXtAZHBmf2aon7Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:16:26.653609Z"},"content_sha256":"6464e2d0a47296087050bea7df83c13a41896c3fbc4c4994016944335bc5ec56","schema_version":"1.0","event_id":"sha256:6464e2d0a47296087050bea7df83c13a41896c3fbc4c4994016944335bc5ec56"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M6V3H3BZ4353NI4RSNWTLO6TQS/bundle.json","state_url":"https://pith.science/pith/M6V3H3BZ4353NI4RSNWTLO6TQS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M6V3H3BZ4353NI4RSNWTLO6TQS/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":"2026-06-01T15:16:26Z","links":{"resolver":"https://pith.science/pith/M6V3H3BZ4353NI4RSNWTLO6TQS","bundle":"https://pith.science/pith/M6V3H3BZ4353NI4RSNWTLO6TQS/bundle.json","state":"https://pith.science/pith/M6V3H3BZ4353NI4RSNWTLO6TQS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M6V3H3BZ4353NI4RSNWTLO6TQS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1991:M6V3H3BZ4353NI4RSNWTLO6TQS","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":"c1c463396ff38edb9c7952b3bdb9f523876427e0dc02512554a8958d624b8ee5","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1991-09-18T12:05:03Z","title_canon_sha256":"1d995cb4d2be3684f6d3daf344bd00af845dbd051734d5d4af48d50779d41f8b"},"schema_version":"1.0","source":{"id":"hep-th/9109029","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9109029","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9109029v1","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9109029","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"M6V3H3BZ4353","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"M6V3H3BZ4353NI4R","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"M6V3H3BZ","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:6464e2d0a47296087050bea7df83c13a41896c3fbc4c4994016944335bc5ec56","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 show that the symmetry algebra of the $SL(2,R)_{k}/U(1)$ coset model is a non-linear deformation of $W_{\\infty}$, characterized by $k$. This is a universal $W$-algebra which linearizes in the large $k$ limit and truncates to $W_{N}$ for $k=-N$. Using the theory of non-compact parafermions we construct a free field realization of the non-linear $W_{\\infty}$ in terms of two bosons with background charge. The $W$-characters of all unitary $SL(2,R)/U(1)$ representations are computed. Applications to the physics of 2-d black hole backgrounds are also discussed and connections with the KP approac","authors_text":"E. Kiritsis, I. Bakas","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1991-09-18T12:05:03Z","title":"Beyond the Large N Limit: Non-linear W(infinity) as symmetry of the SL(2,R)/U(1) coset model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9109029","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":"sha256:062021a0775960c9b94eee7a79e947b8774bbefdca6167d58dc83e356b1b646f","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":"c1c463396ff38edb9c7952b3bdb9f523876427e0dc02512554a8958d624b8ee5","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1991-09-18T12:05:03Z","title_canon_sha256":"1d995cb4d2be3684f6d3daf344bd00af845dbd051734d5d4af48d50779d41f8b"},"schema_version":"1.0","source":{"id":"hep-th/9109029","kind":"arxiv","version":1}},"canonical_sha256":"67abb3ec39e6fbb6a391936d35bbd384bf8c425d73b1d4bc65a9183d6e4c6d9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67abb3ec39e6fbb6a391936d35bbd384bf8c425d73b1d4bc65a9183d6e4c6d9f","first_computed_at":"2026-05-18T01:38:45.194402Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:45.194402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mta/pvswJ5OUqv1ohpBnza3zpBSfs1wQMqmYANEaq7gBHwJTy/wD2ypJs+4VM/BBm8KCi17965chry5CWXVOAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:45.194811Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9109029","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:062021a0775960c9b94eee7a79e947b8774bbefdca6167d58dc83e356b1b646f","sha256:6464e2d0a47296087050bea7df83c13a41896c3fbc4c4994016944335bc5ec56"],"state_sha256":"c465e67c7ff1ea58e6e9f77ac2df14a7b013d1e6778fdf317af9721673a6a276"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4mLqKGzQOhOIbr/YrSjCIT8LtL4i4393UJZp7rhYv+C5DWjLG6PKfaRSgaBT3sx7axA2NNFbGZx2CuWB1aG2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T15:16:26.655522Z","bundle_sha256":"56d3017e70ad9dcece37e8df6008d4468400eb9aa24b10472e842a7af342fb1e"}}