{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:UWUPBELTJN3V3OLBH75LOSFW6C","short_pith_number":"pith:UWUPBELT","canonical_record":{"source":{"id":"math/9806063","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"1998-06-11T12:32:45Z","cross_cats_sorted":[],"title_canon_sha256":"f5def6471ba8b156aa69f42d3ce2ded647e48949e4198f38465826a610bf254b","abstract_canon_sha256":"90984d93dbc75d5b03e8f389e349e361f7d23f579f7a8c04e2b83ecb91173ab8"},"schema_version":"1.0"},"canonical_sha256":"a5a8f091734b775db9613ffab748b6f0920dd5b2a62dcfbb8b8f24757d1801d7","source":{"kind":"arxiv","id":"math/9806063","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9806063","created_at":"2026-05-18T00:29:56Z"},{"alias_kind":"arxiv_version","alias_value":"math/9806063v5","created_at":"2026-05-18T00:29:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9806063","created_at":"2026-05-18T00:29:56Z"},{"alias_kind":"pith_short_12","alias_value":"UWUPBELTJN3V","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"UWUPBELTJN3V3OLB","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"UWUPBELT","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:UWUPBELTJN3V3OLBH75LOSFW6C","target":"record","payload":{"canonical_record":{"source":{"id":"math/9806063","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"1998-06-11T12:32:45Z","cross_cats_sorted":[],"title_canon_sha256":"f5def6471ba8b156aa69f42d3ce2ded647e48949e4198f38465826a610bf254b","abstract_canon_sha256":"90984d93dbc75d5b03e8f389e349e361f7d23f579f7a8c04e2b83ecb91173ab8"},"schema_version":"1.0"},"canonical_sha256":"a5a8f091734b775db9613ffab748b6f0920dd5b2a62dcfbb8b8f24757d1801d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:56.007560Z","signature_b64":"Q+kBvN6XDRU4kVVOPafw8zDD4FrULh3uDUj3WL2Wwf5B3SSt0u/UdF5qimtrRAaiH/fbymx4wR1MapwHQ0VYDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5a8f091734b775db9613ffab748b6f0920dd5b2a62dcfbb8b8f24757d1801d7","last_reissued_at":"2026-05-18T00:29:56.007097Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:56.007097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9806063","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wq8hB2Z+WeO6wG2oaeOtYcJyTvJes0rontxRcWyV7fPch/Q8m/emK4IooPw6Td4wGCN/uWtC1NLDHpclC2ZNDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:32:56.657639Z"},"content_sha256":"95b534387cba31d8ee3238604327a9981715d5afe2fa89f056d412089d9c75df","schema_version":"1.0","event_id":"sha256:95b534387cba31d8ee3238604327a9981715d5afe2fa89f056d412089d9c75df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:UWUPBELTJN3V3OLBH75LOSFW6C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The representation theory of free orthogonal quantum groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Teodor Banica","submitted_at":"1998-06-11T12:32:45Z","abstract_excerpt":"We find, for each $n\\geq2$, the class of $n\\times n$ compact quantum groups whose representation theory is similar to that of $SU(2)$: this is the class of \"free analogues of $O(n)$\" constructed by Van Daele and Wang."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9806063","kind":"arxiv","version":5},"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":"2026-05-18T00:29:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PdcIrC8QbbCpggf0wo1t4xt/WAdDCGBs752eXiCogRouqWuZfzKUBaOe/hryHHEaY6V80kjPZoNfrn/SL2hgAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:32:56.658294Z"},"content_sha256":"afd41dffa85b1882a14cb239bb5a6e91d97e08e335cb07778b1e4f1145182a17","schema_version":"1.0","event_id":"sha256:afd41dffa85b1882a14cb239bb5a6e91d97e08e335cb07778b1e4f1145182a17"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UWUPBELTJN3V3OLBH75LOSFW6C/bundle.json","state_url":"https://pith.science/pith/UWUPBELTJN3V3OLBH75LOSFW6C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UWUPBELTJN3V3OLBH75LOSFW6C/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":"2026-05-31T14:32:56Z","links":{"resolver":"https://pith.science/pith/UWUPBELTJN3V3OLBH75LOSFW6C","bundle":"https://pith.science/pith/UWUPBELTJN3V3OLBH75LOSFW6C/bundle.json","state":"https://pith.science/pith/UWUPBELTJN3V3OLBH75LOSFW6C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UWUPBELTJN3V3OLBH75LOSFW6C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:UWUPBELTJN3V3OLBH75LOSFW6C","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":"90984d93dbc75d5b03e8f389e349e361f7d23f579f7a8c04e2b83ecb91173ab8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"1998-06-11T12:32:45Z","title_canon_sha256":"f5def6471ba8b156aa69f42d3ce2ded647e48949e4198f38465826a610bf254b"},"schema_version":"1.0","source":{"id":"math/9806063","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9806063","created_at":"2026-05-18T00:29:56Z"},{"alias_kind":"arxiv_version","alias_value":"math/9806063v5","created_at":"2026-05-18T00:29:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9806063","created_at":"2026-05-18T00:29:56Z"},{"alias_kind":"pith_short_12","alias_value":"UWUPBELTJN3V","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"UWUPBELTJN3V3OLB","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"UWUPBELT","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:afd41dffa85b1882a14cb239bb5a6e91d97e08e335cb07778b1e4f1145182a17","target":"graph","created_at":"2026-05-18T00:29:56Z","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 find, for each $n\\geq2$, the class of $n\\times n$ compact quantum groups whose representation theory is similar to that of $SU(2)$: this is the class of \"free analogues of $O(n)$\" constructed by Van Daele and Wang.","authors_text":"Teodor Banica","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"1998-06-11T12:32:45Z","title":"The representation theory of free orthogonal quantum groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9806063","kind":"arxiv","version":5},"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":"sha256:95b534387cba31d8ee3238604327a9981715d5afe2fa89f056d412089d9c75df","target":"record","created_at":"2026-05-18T00:29:56Z","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":"90984d93dbc75d5b03e8f389e349e361f7d23f579f7a8c04e2b83ecb91173ab8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"1998-06-11T12:32:45Z","title_canon_sha256":"f5def6471ba8b156aa69f42d3ce2ded647e48949e4198f38465826a610bf254b"},"schema_version":"1.0","source":{"id":"math/9806063","kind":"arxiv","version":5}},"canonical_sha256":"a5a8f091734b775db9613ffab748b6f0920dd5b2a62dcfbb8b8f24757d1801d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5a8f091734b775db9613ffab748b6f0920dd5b2a62dcfbb8b8f24757d1801d7","first_computed_at":"2026-05-18T00:29:56.007097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:56.007097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q+kBvN6XDRU4kVVOPafw8zDD4FrULh3uDUj3WL2Wwf5B3SSt0u/UdF5qimtrRAaiH/fbymx4wR1MapwHQ0VYDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:56.007560Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9806063","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95b534387cba31d8ee3238604327a9981715d5afe2fa89f056d412089d9c75df","sha256:afd41dffa85b1882a14cb239bb5a6e91d97e08e335cb07778b1e4f1145182a17"],"state_sha256":"b22170a8992f055b96bc0abc142db22515e203787d2c840dc16b175160b9449d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xKBFuBKLv6ckmS35DgabTPcXhEl6RaBfwxQFShku8o7sEJ/0Phjs/MNj5Khwyk75lpvlsyCx+Ww/HJE/MI1FDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T14:32:56.662243Z","bundle_sha256":"873d56577f4948c7bb6d1ac65fccedfc9447becfaa1bf19fa4117e556771d12f"}}