{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SKYERGMDSVDD3QGCVTSAV2YAQJ","short_pith_number":"pith:SKYERGMD","canonical_record":{"source":{"id":"1001.0154","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-01-01T21:23:14Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"b0041f8289273d79fa3c4197fdec6782e7cc8179dd6bd25f6b6a7bd94facde70","abstract_canon_sha256":"06eb46be26bf4b8a2dcac67d4c96fb591fce008df86cc0e1fba3967e94280d61"},"schema_version":"1.0"},"canonical_sha256":"92b048998395463dc0c2ace40aeb00825514fa54e9d4ee03edc66ff7351fe20e","source":{"kind":"arxiv","id":"1001.0154","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.0154","created_at":"2026-05-18T04:01:49Z"},{"alias_kind":"arxiv_version","alias_value":"1001.0154v2","created_at":"2026-05-18T04:01:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.0154","created_at":"2026-05-18T04:01:49Z"},{"alias_kind":"pith_short_12","alias_value":"SKYERGMDSVDD","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SKYERGMDSVDD3QGC","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SKYERGMD","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SKYERGMDSVDD3QGCVTSAV2YAQJ","target":"record","payload":{"canonical_record":{"source":{"id":"1001.0154","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-01-01T21:23:14Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"b0041f8289273d79fa3c4197fdec6782e7cc8179dd6bd25f6b6a7bd94facde70","abstract_canon_sha256":"06eb46be26bf4b8a2dcac67d4c96fb591fce008df86cc0e1fba3967e94280d61"},"schema_version":"1.0"},"canonical_sha256":"92b048998395463dc0c2ace40aeb00825514fa54e9d4ee03edc66ff7351fe20e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:49.841853Z","signature_b64":"vepPQv9vxXEpBkYIb8rhRQpUnipmFn49YjEbU+uOOqqn4qcR6DoRmrZ96nRYBFFXrAuy3B3Fele+0i3+EpwBBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92b048998395463dc0c2ace40aeb00825514fa54e9d4ee03edc66ff7351fe20e","last_reissued_at":"2026-05-18T04:01:49.841209Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:49.841209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.0154","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":"2026-05-18T04:01:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"93uolrm7GLL6FMvB+l20JURMFPulmTYOS0E6/bRcLrVXbgSgNYFu7pq+mS2l18c30HOTz5kYw/opmpONTtniDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T11:41:52.466782Z"},"content_sha256":"d1dcadb58653cc37da6b0a1c49daaf5f0540aa06fc8bb788e6f61393e0e9321d","schema_version":"1.0","event_id":"sha256:d1dcadb58653cc37da6b0a1c49daaf5f0540aa06fc8bb788e6f61393e0e9321d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SKYERGMDSVDD3QGCVTSAV2YAQJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isomorphisms between quantum groups $U_q(\\mathfrak{sl}_{n+1})$ and $U_p(\\mathfrak{sl}_{n+1})$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"Jie-Tai Yu, Li-Bin Li","submitted_at":"2010-01-01T21:23:14Z","abstract_excerpt":"Let $\\mathbb K$ be a field and suppose $p, q\\in\\mathbb K^*$ are not roots of unity. We prove that the two quantum groups $U_q(\\mathfrak {sl}_{n+1})$ and $U_p(\\mathfrak{sl}_{n+1})$ are isomorphic as $\\mathbb K$-algebras implies that $p=\\pm q^{\\pm 1}$ when $n$ is even. This new result answers a classical question of Jimbo."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0154","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":"2026-05-18T04:01:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R71uo6CMiRkhqvtOFqVNTpaqED4T2nioTHjQG++pJGO+1/fKSg9ddcaTVWsIGx1b+JrpXgxI/rqWTJvQ4bDCDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T11:41:52.467116Z"},"content_sha256":"13912e569d538313a539a4f876d6cc23a3f1705b625fa83cdd46a5d49f7c9dae","schema_version":"1.0","event_id":"sha256:13912e569d538313a539a4f876d6cc23a3f1705b625fa83cdd46a5d49f7c9dae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SKYERGMDSVDD3QGCVTSAV2YAQJ/bundle.json","state_url":"https://pith.science/pith/SKYERGMDSVDD3QGCVTSAV2YAQJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SKYERGMDSVDD3QGCVTSAV2YAQJ/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":"2026-06-27T11:41:52Z","links":{"resolver":"https://pith.science/pith/SKYERGMDSVDD3QGCVTSAV2YAQJ","bundle":"https://pith.science/pith/SKYERGMDSVDD3QGCVTSAV2YAQJ/bundle.json","state":"https://pith.science/pith/SKYERGMDSVDD3QGCVTSAV2YAQJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SKYERGMDSVDD3QGCVTSAV2YAQJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SKYERGMDSVDD3QGCVTSAV2YAQJ","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":"06eb46be26bf4b8a2dcac67d4c96fb591fce008df86cc0e1fba3967e94280d61","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-01-01T21:23:14Z","title_canon_sha256":"b0041f8289273d79fa3c4197fdec6782e7cc8179dd6bd25f6b6a7bd94facde70"},"schema_version":"1.0","source":{"id":"1001.0154","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.0154","created_at":"2026-05-18T04:01:49Z"},{"alias_kind":"arxiv_version","alias_value":"1001.0154v2","created_at":"2026-05-18T04:01:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.0154","created_at":"2026-05-18T04:01:49Z"},{"alias_kind":"pith_short_12","alias_value":"SKYERGMDSVDD","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SKYERGMDSVDD3QGC","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SKYERGMD","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:13912e569d538313a539a4f876d6cc23a3f1705b625fa83cdd46a5d49f7c9dae","target":"graph","created_at":"2026-05-18T04:01:49Z","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":"Let $\\mathbb K$ be a field and suppose $p, q\\in\\mathbb K^*$ are not roots of unity. We prove that the two quantum groups $U_q(\\mathfrak {sl}_{n+1})$ and $U_p(\\mathfrak{sl}_{n+1})$ are isomorphic as $\\mathbb K$-algebras implies that $p=\\pm q^{\\pm 1}$ when $n$ is even. This new result answers a classical question of Jimbo.","authors_text":"Jie-Tai Yu, Li-Bin Li","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-01-01T21:23:14Z","title":"Isomorphisms between quantum groups $U_q(\\mathfrak{sl}_{n+1})$ and $U_p(\\mathfrak{sl}_{n+1})$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0154","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:d1dcadb58653cc37da6b0a1c49daaf5f0540aa06fc8bb788e6f61393e0e9321d","target":"record","created_at":"2026-05-18T04:01:49Z","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":"06eb46be26bf4b8a2dcac67d4c96fb591fce008df86cc0e1fba3967e94280d61","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-01-01T21:23:14Z","title_canon_sha256":"b0041f8289273d79fa3c4197fdec6782e7cc8179dd6bd25f6b6a7bd94facde70"},"schema_version":"1.0","source":{"id":"1001.0154","kind":"arxiv","version":2}},"canonical_sha256":"92b048998395463dc0c2ace40aeb00825514fa54e9d4ee03edc66ff7351fe20e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92b048998395463dc0c2ace40aeb00825514fa54e9d4ee03edc66ff7351fe20e","first_computed_at":"2026-05-18T04:01:49.841209Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:49.841209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vepPQv9vxXEpBkYIb8rhRQpUnipmFn49YjEbU+uOOqqn4qcR6DoRmrZ96nRYBFFXrAuy3B3Fele+0i3+EpwBBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:49.841853Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.0154","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1dcadb58653cc37da6b0a1c49daaf5f0540aa06fc8bb788e6f61393e0e9321d","sha256:13912e569d538313a539a4f876d6cc23a3f1705b625fa83cdd46a5d49f7c9dae"],"state_sha256":"e69305c113ee4f8b14767e4bcb1e8e7759c1aba4bee7af1e82a5273beb7f10b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gBLpcVikEHVjlQ5FRuw+vMvgDRcf/lOAAynyDPt1SbqCYP/O23Lg9qOKrUraNbRRfaXc9ka0K5ZjhyLz2bkGDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T11:41:52.469297Z","bundle_sha256":"513762a19978d1244cd19505593c7d2b05f9a5fa7ff07f6a81d64a0f20871f2e"}}