{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JWFNZZX7TPBWBNQA2XAHQJUBA5","short_pith_number":"pith:JWFNZZX7","canonical_record":{"source":{"id":"1411.7429","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-11-27T00:16:48Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"6ab2ea5fa1baeb8ac45cc399834e56ac618b9117899b389201bcf74c430f030b","abstract_canon_sha256":"808ba205a908f3d80d207b0b2fed5be49a05c17e40480cf8aab4f17e80e540a0"},"schema_version":"1.0"},"canonical_sha256":"4d8adce6ff9bc360b600d5c0782681076f99634f2feed164217710d1f5671569","source":{"kind":"arxiv","id":"1411.7429","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7429","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7429v1","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7429","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"pith_short_12","alias_value":"JWFNZZX7TPBW","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JWFNZZX7TPBWBNQA","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JWFNZZX7","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JWFNZZX7TPBWBNQA2XAHQJUBA5","target":"record","payload":{"canonical_record":{"source":{"id":"1411.7429","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-11-27T00:16:48Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"6ab2ea5fa1baeb8ac45cc399834e56ac618b9117899b389201bcf74c430f030b","abstract_canon_sha256":"808ba205a908f3d80d207b0b2fed5be49a05c17e40480cf8aab4f17e80e540a0"},"schema_version":"1.0"},"canonical_sha256":"4d8adce6ff9bc360b600d5c0782681076f99634f2feed164217710d1f5671569","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:38.037568Z","signature_b64":"yuYXV9ITCZfMBTfVmP/piSBpO6WyweJbiBfvDNPsmD6/rd9BXiV2xfhdanmB5FwljxuVjHvx2NLLNtkN+WCPBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d8adce6ff9bc360b600d5c0782681076f99634f2feed164217710d1f5671569","last_reissued_at":"2026-05-18T02:32:38.037169Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:38.037169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.7429","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":"2026-05-18T02:32:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"70WCPsSkfeSOdO/5jqS8KQD0UN6hDNr6Ahb5gAM4IiFqpVJ69QK+syzmHrq/fRNyAmTyQkyYuAPKGsXSnv51AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:48:13.139607Z"},"content_sha256":"21a34204e7a9db100b85ef719b1c7a1b34bea8c3f5a498b485a361987aecd95a","schema_version":"1.0","event_id":"sha256:21a34204e7a9db100b85ef719b1c7a1b34bea8c3f5a498b485a361987aecd95a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JWFNZZX7TPBWBNQA2XAHQJUBA5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum dimensions and fusion rules for parafermion vertex operator algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Chongying Dong, Qing Wang","submitted_at":"2014-11-27T00:16:48Z","abstract_excerpt":"The quantum dimensions and the fusion rules for the parafermion vertex operator algebra associated to the irreducible highest weight module for the affine Kac-Moody algebra A_1^{(1)} of level k are determined."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7429","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":"2026-05-18T02:32:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qpozQgqYQjAXF8cJN4AvrG8o8xeY4hnZAdMR/oEWZ77qXLeeitzgTJUE/eq8SxGK00noU84xtzeqN9Z4xOoiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:48:13.140060Z"},"content_sha256":"3484f6813ef165f692253c2cc003a59067f9e6ed7ba342a0955a70972f84aab9","schema_version":"1.0","event_id":"sha256:3484f6813ef165f692253c2cc003a59067f9e6ed7ba342a0955a70972f84aab9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JWFNZZX7TPBWBNQA2XAHQJUBA5/bundle.json","state_url":"https://pith.science/pith/JWFNZZX7TPBWBNQA2XAHQJUBA5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JWFNZZX7TPBWBNQA2XAHQJUBA5/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":"2026-06-01T14:48:13Z","links":{"resolver":"https://pith.science/pith/JWFNZZX7TPBWBNQA2XAHQJUBA5","bundle":"https://pith.science/pith/JWFNZZX7TPBWBNQA2XAHQJUBA5/bundle.json","state":"https://pith.science/pith/JWFNZZX7TPBWBNQA2XAHQJUBA5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JWFNZZX7TPBWBNQA2XAHQJUBA5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JWFNZZX7TPBWBNQA2XAHQJUBA5","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":"808ba205a908f3d80d207b0b2fed5be49a05c17e40480cf8aab4f17e80e540a0","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-11-27T00:16:48Z","title_canon_sha256":"6ab2ea5fa1baeb8ac45cc399834e56ac618b9117899b389201bcf74c430f030b"},"schema_version":"1.0","source":{"id":"1411.7429","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7429","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7429v1","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7429","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"pith_short_12","alias_value":"JWFNZZX7TPBW","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JWFNZZX7TPBWBNQA","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JWFNZZX7","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:3484f6813ef165f692253c2cc003a59067f9e6ed7ba342a0955a70972f84aab9","target":"graph","created_at":"2026-05-18T02:32:38Z","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":"The quantum dimensions and the fusion rules for the parafermion vertex operator algebra associated to the irreducible highest weight module for the affine Kac-Moody algebra A_1^{(1)} of level k are determined.","authors_text":"Chongying Dong, Qing Wang","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-11-27T00:16:48Z","title":"Quantum dimensions and fusion rules for parafermion vertex operator algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7429","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":"sha256:21a34204e7a9db100b85ef719b1c7a1b34bea8c3f5a498b485a361987aecd95a","target":"record","created_at":"2026-05-18T02:32:38Z","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":"808ba205a908f3d80d207b0b2fed5be49a05c17e40480cf8aab4f17e80e540a0","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-11-27T00:16:48Z","title_canon_sha256":"6ab2ea5fa1baeb8ac45cc399834e56ac618b9117899b389201bcf74c430f030b"},"schema_version":"1.0","source":{"id":"1411.7429","kind":"arxiv","version":1}},"canonical_sha256":"4d8adce6ff9bc360b600d5c0782681076f99634f2feed164217710d1f5671569","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d8adce6ff9bc360b600d5c0782681076f99634f2feed164217710d1f5671569","first_computed_at":"2026-05-18T02:32:38.037169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:38.037169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yuYXV9ITCZfMBTfVmP/piSBpO6WyweJbiBfvDNPsmD6/rd9BXiV2xfhdanmB5FwljxuVjHvx2NLLNtkN+WCPBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:38.037568Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.7429","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21a34204e7a9db100b85ef719b1c7a1b34bea8c3f5a498b485a361987aecd95a","sha256:3484f6813ef165f692253c2cc003a59067f9e6ed7ba342a0955a70972f84aab9"],"state_sha256":"f487a367d5918c92abf5cb58c092a5a817fcf3ae03d37128ae8c3e3d953a18d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aJbZdK9lH/qrEaDh98HWunnS1p71yVabGkWwnugJpOcUIJI2Thlc/JvFCotjAs0hQoVwXLtUY0KpZxEqot+BCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T14:48:13.142748Z","bundle_sha256":"0c45c765065ed17b868fa0008c0d8a33a269c64630e18316867ad36a6cb8131f"}}