{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KIQFJBHR4V5FZUAJNA6BBQTHWD","short_pith_number":"pith:KIQFJBHR","canonical_record":{"source":{"id":"1310.7235","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-10-27T19:19:16Z","cross_cats_sorted":[],"title_canon_sha256":"0a673bc17ace625abb3cc74067fe1371e7258883c4a5be9fea7e7f6d5ed9d2f4","abstract_canon_sha256":"9e41965a7bf3bdcd496103995d275c41c560e2cf855774e5034ee28029957a2c"},"schema_version":"1.0"},"canonical_sha256":"52205484f1e57a5cd009683c10c267b0cbfa6c38ac9a1a70c3d569cd1f2e3c59","source":{"kind":"arxiv","id":"1310.7235","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7235","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7235v1","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7235","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"pith_short_12","alias_value":"KIQFJBHR4V5F","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"KIQFJBHR4V5FZUAJ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"KIQFJBHR","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KIQFJBHR4V5FZUAJNA6BBQTHWD","target":"record","payload":{"canonical_record":{"source":{"id":"1310.7235","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-10-27T19:19:16Z","cross_cats_sorted":[],"title_canon_sha256":"0a673bc17ace625abb3cc74067fe1371e7258883c4a5be9fea7e7f6d5ed9d2f4","abstract_canon_sha256":"9e41965a7bf3bdcd496103995d275c41c560e2cf855774e5034ee28029957a2c"},"schema_version":"1.0"},"canonical_sha256":"52205484f1e57a5cd009683c10c267b0cbfa6c38ac9a1a70c3d569cd1f2e3c59","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:45.875693Z","signature_b64":"7RuaZtlYFA+oSCmUBa0qHSPp/w8Ek4iDddT5gP6Kd7XS7i4/fQDvzs0v7/i3YRKUeWJ6dcGJRmrNwKIOuDe2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52205484f1e57a5cd009683c10c267b0cbfa6c38ac9a1a70c3d569cd1f2e3c59","last_reissued_at":"2026-05-18T03:08:45.875079Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:45.875079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.7235","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":"2026-05-18T03:08:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9do4IhkH1jls7cxBuOpME7owJ9rAWX6+vmzu9EJlI94KPipzvOKxzJzevv9Zlch7m7KdM81P2dc46UFXm+TCDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:30:48.735224Z"},"content_sha256":"006e6687fa8121968f11f8205816a4f953dc473c65f79ada19c60ab6c6312efc","schema_version":"1.0","event_id":"sha256:006e6687fa8121968f11f8205816a4f953dc473c65f79ada19c60ab6c6312efc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KIQFJBHR4V5FZUAJNA6BBQTHWD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fusion rules for the vertex operator algebra $V_{L_{2}}^{A_{4}}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Chongying Dong, Cuipo Jiang, Nina Yu, Qifen Jiang, Xiangyu Jiao","submitted_at":"2013-10-27T19:19:16Z","abstract_excerpt":"The fusion rules for vertex operator algebra $V_{L_{2}}^{A_{4}}$ are determined."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7235","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":"2026-05-18T03:08:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c9GsL7moykcC7DulZX3dkndOUSGYriEloitz1vQKnrxyqAQQ4S8XW0eOh06vmIFk60RsLhkn0TjrFMOBv6bJAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:30:48.735586Z"},"content_sha256":"6ba2716e35e473a0858d4b16c62395116e9fdbeedfb4518d977a6adf36d158b3","schema_version":"1.0","event_id":"sha256:6ba2716e35e473a0858d4b16c62395116e9fdbeedfb4518d977a6adf36d158b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KIQFJBHR4V5FZUAJNA6BBQTHWD/bundle.json","state_url":"https://pith.science/pith/KIQFJBHR4V5FZUAJNA6BBQTHWD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KIQFJBHR4V5FZUAJNA6BBQTHWD/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":"2026-06-03T21:30:48Z","links":{"resolver":"https://pith.science/pith/KIQFJBHR4V5FZUAJNA6BBQTHWD","bundle":"https://pith.science/pith/KIQFJBHR4V5FZUAJNA6BBQTHWD/bundle.json","state":"https://pith.science/pith/KIQFJBHR4V5FZUAJNA6BBQTHWD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KIQFJBHR4V5FZUAJNA6BBQTHWD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KIQFJBHR4V5FZUAJNA6BBQTHWD","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":"9e41965a7bf3bdcd496103995d275c41c560e2cf855774e5034ee28029957a2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-10-27T19:19:16Z","title_canon_sha256":"0a673bc17ace625abb3cc74067fe1371e7258883c4a5be9fea7e7f6d5ed9d2f4"},"schema_version":"1.0","source":{"id":"1310.7235","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7235","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7235v1","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7235","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"pith_short_12","alias_value":"KIQFJBHR4V5F","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"KIQFJBHR4V5FZUAJ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"KIQFJBHR","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:6ba2716e35e473a0858d4b16c62395116e9fdbeedfb4518d977a6adf36d158b3","target":"graph","created_at":"2026-05-18T03:08:45Z","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":"The fusion rules for vertex operator algebra $V_{L_{2}}^{A_{4}}$ are determined.","authors_text":"Chongying Dong, Cuipo Jiang, Nina Yu, Qifen Jiang, Xiangyu Jiao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-10-27T19:19:16Z","title":"Fusion rules for the vertex operator algebra $V_{L_{2}}^{A_{4}}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7235","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":"sha256:006e6687fa8121968f11f8205816a4f953dc473c65f79ada19c60ab6c6312efc","target":"record","created_at":"2026-05-18T03:08:45Z","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":"9e41965a7bf3bdcd496103995d275c41c560e2cf855774e5034ee28029957a2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-10-27T19:19:16Z","title_canon_sha256":"0a673bc17ace625abb3cc74067fe1371e7258883c4a5be9fea7e7f6d5ed9d2f4"},"schema_version":"1.0","source":{"id":"1310.7235","kind":"arxiv","version":1}},"canonical_sha256":"52205484f1e57a5cd009683c10c267b0cbfa6c38ac9a1a70c3d569cd1f2e3c59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52205484f1e57a5cd009683c10c267b0cbfa6c38ac9a1a70c3d569cd1f2e3c59","first_computed_at":"2026-05-18T03:08:45.875079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:45.875079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7RuaZtlYFA+oSCmUBa0qHSPp/w8Ek4iDddT5gP6Kd7XS7i4/fQDvzs0v7/i3YRKUeWJ6dcGJRmrNwKIOuDe2Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:45.875693Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.7235","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:006e6687fa8121968f11f8205816a4f953dc473c65f79ada19c60ab6c6312efc","sha256:6ba2716e35e473a0858d4b16c62395116e9fdbeedfb4518d977a6adf36d158b3"],"state_sha256":"15bbbabc4f750e2fa52ba52590bb3221c96630d7b15eb03b4dc04b6ffedc499b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Et0s5fDDmB/8jkHlsMs/KG6njbwGx5F2AErNSeN+kh0Rym1Bedy51EoJLd4d9usJ7DHMhzh0uQfeAEXUao3QCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T21:30:48.737599Z","bundle_sha256":"d21c5effc36e4593e3a8af5ad5d74aab8e017630390b7e0f91f875c5f3cbcfba"}}