{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:3H5TEKCNX7JCSFPPHNUMEMS6C5","short_pith_number":"pith:3H5TEKCN","canonical_record":{"source":{"id":"hep-th/9301086","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-01-21T22:42:56Z","cross_cats_sorted":[],"title_canon_sha256":"ace5cf6ecdf2c29aac7c3e8a07c9ebb3204b020611265c1a02e1f45afd45b692","abstract_canon_sha256":"84e6b8de1156582ba8b0c7e6bf290051b40f71ac06afd03dece06ade797e4f21"},"schema_version":"1.0"},"canonical_sha256":"d9fb32284dbfd22915ef3b68c2325e177bbb30a4ad4a898457cd21042d2d6898","source":{"kind":"arxiv","id":"hep-th/9301086","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9301086","created_at":"2026-05-18T04:37:43Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9301086v2","created_at":"2026-05-18T04:37:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9301086","created_at":"2026-05-18T04:37:43Z"},{"alias_kind":"pith_short_12","alias_value":"3H5TEKCNX7JC","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"3H5TEKCNX7JCSFPP","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"3H5TEKCN","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:3H5TEKCNX7JCSFPPHNUMEMS6C5","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9301086","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-01-21T22:42:56Z","cross_cats_sorted":[],"title_canon_sha256":"ace5cf6ecdf2c29aac7c3e8a07c9ebb3204b020611265c1a02e1f45afd45b692","abstract_canon_sha256":"84e6b8de1156582ba8b0c7e6bf290051b40f71ac06afd03dece06ade797e4f21"},"schema_version":"1.0"},"canonical_sha256":"d9fb32284dbfd22915ef3b68c2325e177bbb30a4ad4a898457cd21042d2d6898","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:43.706196Z","signature_b64":"TvFgr5lf+0QY/VOux1VbmZwI5JdbAyX3VpZZ8NkuPxcAMq8OGXWhp3bQ2iFP+wbwCRqjzWVDAjQDAXsWeOXPCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9fb32284dbfd22915ef3b68c2325e177bbb30a4ad4a898457cd21042d2d6898","last_reissued_at":"2026-05-18T04:37:43.705565Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:43.705565Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9301086","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:37:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EkdlVgxQiHUDoozcmiwALQC/phAYplO9HT9gqp43squvU3x/AYKevGtYplsayhxS8bEBLbCxuUwHYdPkq3LSBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:02:20.451280Z"},"content_sha256":"8e01a93bc4645855c439ffd79cdcd9d58e34df0ab86d45e1e91dd8ef1cc39571","schema_version":"1.0","event_id":"sha256:8e01a93bc4645855c439ffd79cdcd9d58e34df0ab86d45e1e91dd8ef1cc39571"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:3H5TEKCNX7JCSFPPHNUMEMS6C5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Path Spaces and W-Fusion in Minimal Models","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. Kellendonk, M. R\\\"osgen, R. Varnhagen","submitted_at":"1993-01-21T22:42:56Z","abstract_excerpt":"Product forms of characters of Virasoro minimal models are obtained which factorize into $(2,\\odd)\\times(3,\\even)$ characters. These are related by generalized Rogers-Ramanujan identities to sum forms allowing for a quasiparticle interpretation. The corresponding dilogarithm identities are given and the factorization is used to analyse the related path space structure as well as the fusion of the maximally extended chiral algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9301086","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:37:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K8vpA9O/gr5VqbyPxh5lKYuXHzH7GEtmIjOPKnB+yF+FUVdv2QamTWXZRezBlY06b2CKxGOJcD5Vco8Nyki5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:02:20.451933Z"},"content_sha256":"07c6915efac064ec67065fa2fa4dce5831b0075cb940b71968f3e8450c1ed6e6","schema_version":"1.0","event_id":"sha256:07c6915efac064ec67065fa2fa4dce5831b0075cb940b71968f3e8450c1ed6e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3H5TEKCNX7JCSFPPHNUMEMS6C5/bundle.json","state_url":"https://pith.science/pith/3H5TEKCNX7JCSFPPHNUMEMS6C5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3H5TEKCNX7JCSFPPHNUMEMS6C5/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":"2026-05-26T11:02:20Z","links":{"resolver":"https://pith.science/pith/3H5TEKCNX7JCSFPPHNUMEMS6C5","bundle":"https://pith.science/pith/3H5TEKCNX7JCSFPPHNUMEMS6C5/bundle.json","state":"https://pith.science/pith/3H5TEKCNX7JCSFPPHNUMEMS6C5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3H5TEKCNX7JCSFPPHNUMEMS6C5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:3H5TEKCNX7JCSFPPHNUMEMS6C5","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":"84e6b8de1156582ba8b0c7e6bf290051b40f71ac06afd03dece06ade797e4f21","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-01-21T22:42:56Z","title_canon_sha256":"ace5cf6ecdf2c29aac7c3e8a07c9ebb3204b020611265c1a02e1f45afd45b692"},"schema_version":"1.0","source":{"id":"hep-th/9301086","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9301086","created_at":"2026-05-18T04:37:43Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9301086v2","created_at":"2026-05-18T04:37:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9301086","created_at":"2026-05-18T04:37:43Z"},{"alias_kind":"pith_short_12","alias_value":"3H5TEKCNX7JC","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"3H5TEKCNX7JCSFPP","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"3H5TEKCN","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:07c6915efac064ec67065fa2fa4dce5831b0075cb940b71968f3e8450c1ed6e6","target":"graph","created_at":"2026-05-18T04:37:43Z","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":"Product forms of characters of Virasoro minimal models are obtained which factorize into $(2,\\odd)\\times(3,\\even)$ characters. These are related by generalized Rogers-Ramanujan identities to sum forms allowing for a quasiparticle interpretation. The corresponding dilogarithm identities are given and the factorization is used to analyse the related path space structure as well as the fusion of the maximally extended chiral algebra.","authors_text":"J. Kellendonk, M. R\\\"osgen, R. Varnhagen","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1993-01-21T22:42:56Z","title":"Path Spaces and W-Fusion in Minimal Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9301086","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":"sha256:8e01a93bc4645855c439ffd79cdcd9d58e34df0ab86d45e1e91dd8ef1cc39571","target":"record","created_at":"2026-05-18T04:37:43Z","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":"84e6b8de1156582ba8b0c7e6bf290051b40f71ac06afd03dece06ade797e4f21","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-01-21T22:42:56Z","title_canon_sha256":"ace5cf6ecdf2c29aac7c3e8a07c9ebb3204b020611265c1a02e1f45afd45b692"},"schema_version":"1.0","source":{"id":"hep-th/9301086","kind":"arxiv","version":2}},"canonical_sha256":"d9fb32284dbfd22915ef3b68c2325e177bbb30a4ad4a898457cd21042d2d6898","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9fb32284dbfd22915ef3b68c2325e177bbb30a4ad4a898457cd21042d2d6898","first_computed_at":"2026-05-18T04:37:43.705565Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:43.705565Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TvFgr5lf+0QY/VOux1VbmZwI5JdbAyX3VpZZ8NkuPxcAMq8OGXWhp3bQ2iFP+wbwCRqjzWVDAjQDAXsWeOXPCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:43.706196Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9301086","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e01a93bc4645855c439ffd79cdcd9d58e34df0ab86d45e1e91dd8ef1cc39571","sha256:07c6915efac064ec67065fa2fa4dce5831b0075cb940b71968f3e8450c1ed6e6"],"state_sha256":"ba591a5f1c898cda4355eb2d4103409306a6fb15dcf744e79359a74b7d5bc280"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9SQnsXKaUIe6E+1h/pgGPp/rrQfGtH9U0kOGgLyg8rvEgn3+EsiSQBiZiNBFC2qjqqC/M5WBVsqJU/PuQT6dAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:02:20.455093Z","bundle_sha256":"2245b27d6e091ea1dc615d770291eae2cd1949affa9cb40b877d86366ca46a5c"}}