{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:U5VQEMWZ2EP2N3BDWU37REMPKV","short_pith_number":"pith:U5VQEMWZ","canonical_record":{"source":{"id":"1611.08872","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-11-27T16:40:09Z","cross_cats_sorted":[],"title_canon_sha256":"0b1ee883631a099d3928df468e0eaffda74268c060a12c27f91441e2181f0a86","abstract_canon_sha256":"f4a6518eea67484842c0721631d951aaca09bcbe5423944bf5eb5337c499f40f"},"schema_version":"1.0"},"canonical_sha256":"a76b0232d9d11fa6ec23b537f8918f556f378eec637c633d4c5ed26bc7b59913","source":{"kind":"arxiv","id":"1611.08872","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08872","created_at":"2026-05-18T00:56:29Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08872v1","created_at":"2026-05-18T00:56:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08872","created_at":"2026-05-18T00:56:29Z"},{"alias_kind":"pith_short_12","alias_value":"U5VQEMWZ2EP2","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"U5VQEMWZ2EP2N3BD","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"U5VQEMWZ","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:U5VQEMWZ2EP2N3BDWU37REMPKV","target":"record","payload":{"canonical_record":{"source":{"id":"1611.08872","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-11-27T16:40:09Z","cross_cats_sorted":[],"title_canon_sha256":"0b1ee883631a099d3928df468e0eaffda74268c060a12c27f91441e2181f0a86","abstract_canon_sha256":"f4a6518eea67484842c0721631d951aaca09bcbe5423944bf5eb5337c499f40f"},"schema_version":"1.0"},"canonical_sha256":"a76b0232d9d11fa6ec23b537f8918f556f378eec637c633d4c5ed26bc7b59913","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:29.990377Z","signature_b64":"gmEBFMW1eC2OH1XbSAkQWYKrdfCqN9LWc2Y7kjoB1Nds5eyzQQSc6lhtq34ynMQKwy5cKWsrAsp02Kw9Ak/PAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a76b0232d9d11fa6ec23b537f8918f556f378eec637c633d4c5ed26bc7b59913","last_reissued_at":"2026-05-18T00:56:29.989536Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:29.989536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.08872","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":"2026-05-18T00:56:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KtFvdAKEDpxJxQtcQxmV9J9PI3dKgd/HS+xTdONjvvjziNhLkr3eNlb3jySdTkaNFPjra9g87E4ZG6FbPjbACg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T00:17:52.612098Z"},"content_sha256":"dccf0da6303f504ef59400f30988a255a87581fec4e384872c48c80c2affeeda","schema_version":"1.0","event_id":"sha256:dccf0da6303f504ef59400f30988a255a87581fec4e384872c48c80c2affeeda"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:U5VQEMWZ2EP2N3BDWU37REMPKV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The center of the small quantum group u_q(sl_3) for l=5: a numerical computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Anna Lachowska, Steven Glenn Jackson","submitted_at":"2016-11-27T16:40:09Z","abstract_excerpt":"This is a brief note on a numerical computation of the dimension of the center of the small quantum group u_q(sl_3) at the 5th root of unity. The obtained dimension is 57. Using the description of the regular block of the center for u_q(sl_3), given in arXiv:1604.07380, we conclude that the dimension of the singular parabolic block of the center for u_q(sl_3) is 6, and obtain a complete block decomposition of the center in this case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08872","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":"2026-05-18T00:56:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HCSvXp/l9uGuY5pyK3fBo2+bhYpORBtcH64kFX6uUMOcBPX2jlEKbA2QHamxmEe3nwqBhddzkrzF1fodGlUiAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T00:17:52.612812Z"},"content_sha256":"3da0550dd1f30858ae76b27d178929bc09af58f0055c266b8106dd6e86d31d02","schema_version":"1.0","event_id":"sha256:3da0550dd1f30858ae76b27d178929bc09af58f0055c266b8106dd6e86d31d02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U5VQEMWZ2EP2N3BDWU37REMPKV/bundle.json","state_url":"https://pith.science/pith/U5VQEMWZ2EP2N3BDWU37REMPKV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U5VQEMWZ2EP2N3BDWU37REMPKV/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":"2026-06-08T00:17:52Z","links":{"resolver":"https://pith.science/pith/U5VQEMWZ2EP2N3BDWU37REMPKV","bundle":"https://pith.science/pith/U5VQEMWZ2EP2N3BDWU37REMPKV/bundle.json","state":"https://pith.science/pith/U5VQEMWZ2EP2N3BDWU37REMPKV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U5VQEMWZ2EP2N3BDWU37REMPKV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:U5VQEMWZ2EP2N3BDWU37REMPKV","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":"f4a6518eea67484842c0721631d951aaca09bcbe5423944bf5eb5337c499f40f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-11-27T16:40:09Z","title_canon_sha256":"0b1ee883631a099d3928df468e0eaffda74268c060a12c27f91441e2181f0a86"},"schema_version":"1.0","source":{"id":"1611.08872","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08872","created_at":"2026-05-18T00:56:29Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08872v1","created_at":"2026-05-18T00:56:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08872","created_at":"2026-05-18T00:56:29Z"},{"alias_kind":"pith_short_12","alias_value":"U5VQEMWZ2EP2","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"U5VQEMWZ2EP2N3BD","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"U5VQEMWZ","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:3da0550dd1f30858ae76b27d178929bc09af58f0055c266b8106dd6e86d31d02","target":"graph","created_at":"2026-05-18T00:56:29Z","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":"This is a brief note on a numerical computation of the dimension of the center of the small quantum group u_q(sl_3) at the 5th root of unity. The obtained dimension is 57. Using the description of the regular block of the center for u_q(sl_3), given in arXiv:1604.07380, we conclude that the dimension of the singular parabolic block of the center for u_q(sl_3) is 6, and obtain a complete block decomposition of the center in this case.","authors_text":"Anna Lachowska, Steven Glenn Jackson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-11-27T16:40:09Z","title":"The center of the small quantum group u_q(sl_3) for l=5: a numerical computation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08872","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:dccf0da6303f504ef59400f30988a255a87581fec4e384872c48c80c2affeeda","target":"record","created_at":"2026-05-18T00:56:29Z","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":"f4a6518eea67484842c0721631d951aaca09bcbe5423944bf5eb5337c499f40f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-11-27T16:40:09Z","title_canon_sha256":"0b1ee883631a099d3928df468e0eaffda74268c060a12c27f91441e2181f0a86"},"schema_version":"1.0","source":{"id":"1611.08872","kind":"arxiv","version":1}},"canonical_sha256":"a76b0232d9d11fa6ec23b537f8918f556f378eec637c633d4c5ed26bc7b59913","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a76b0232d9d11fa6ec23b537f8918f556f378eec637c633d4c5ed26bc7b59913","first_computed_at":"2026-05-18T00:56:29.989536Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:29.989536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gmEBFMW1eC2OH1XbSAkQWYKrdfCqN9LWc2Y7kjoB1Nds5eyzQQSc6lhtq34ynMQKwy5cKWsrAsp02Kw9Ak/PAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:29.990377Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.08872","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dccf0da6303f504ef59400f30988a255a87581fec4e384872c48c80c2affeeda","sha256:3da0550dd1f30858ae76b27d178929bc09af58f0055c266b8106dd6e86d31d02"],"state_sha256":"3d9cf24934787bc127145c9628782287a0e46b1a56d522f570fd2c79f5d7ae25"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nHwGPQWAwRInGwzL4S1re4UO9GOId6h14RWcI0FXJ0QY05/urwyzpOOTz6BCtlaxOnrPjj9bcZ2nsBA7JwpODw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T00:17:52.616514Z","bundle_sha256":"063cf300f50cc133e4a402078f7a964171d521156427a998ca3e765cd1a2c157"}}