{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2MXGZ2TXHDAXFV4PLAGITUJS2E","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":"5e36674ac1c04876e55cab8311904648de4244ed354db84922202e3403b798d6","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2010-06-09T08:41:07Z","title_canon_sha256":"45dccb1248945222bd364fe7447661eaa5ee55d8ba68c3a3e8c2037c516ed963"},"schema_version":"1.0","source":{"id":"1006.1742","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1742","created_at":"2026-07-04T17:30:17Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1742v1","created_at":"2026-07-04T17:30:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1742","created_at":"2026-07-04T17:30:17Z"},{"alias_kind":"pith_short_12","alias_value":"2MXGZ2TXHDAX","created_at":"2026-07-04T17:30:17Z"},{"alias_kind":"pith_short_16","alias_value":"2MXGZ2TXHDAXFV4P","created_at":"2026-07-04T17:30:17Z"},{"alias_kind":"pith_short_8","alias_value":"2MXGZ2TX","created_at":"2026-07-04T17:30:17Z"}],"graph_snapshots":[{"event_id":"sha256:55da2902e42fbdebe763eeeab9782eccf8e1997aa50ebec426f4f779b5d08890","target":"graph","created_at":"2026-07-04T17:30:17Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1006.1742/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum Steiffel manifolds were introduced by Vainerman and Podkolzin in \\cite{VP}. They classified the irreducible representations of their underlying $C^*$-algebras. Here we compute the K groups of the quantum homogeneous spaces $SU_{q}(n)/SU_{q}(n-2), n\\ge 3$. Specializing to the case $n=3$ we show that the fundamental unitary for quantum $SU(3)$ is nontrivial and is a unimodular element in $K_1$.","authors_text":"Partha Sarathi Chakraborty, S.Sundar","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2010-06-09T08:41:07Z","title":"K-groups of the quantum homogeneous space $SU_{q}(n)/SU_{q}(n-2)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1742","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:fe40ae7d0cd87f1f79964a79ddb8f795ecdc3305bdfe1dee265dc5f12b4af685","target":"record","created_at":"2026-07-04T17:30:17Z","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":"5e36674ac1c04876e55cab8311904648de4244ed354db84922202e3403b798d6","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2010-06-09T08:41:07Z","title_canon_sha256":"45dccb1248945222bd364fe7447661eaa5ee55d8ba68c3a3e8c2037c516ed963"},"schema_version":"1.0","source":{"id":"1006.1742","kind":"arxiv","version":1}},"canonical_sha256":"d32e6cea7738c172d78f580c89d132d10e66ece1e8006b663f84eb3196243f5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d32e6cea7738c172d78f580c89d132d10e66ece1e8006b663f84eb3196243f5b","first_computed_at":"2026-07-04T17:30:17.330370Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:30:17.330370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"arc/x3wMPbm8fvcsD4xrGY7Q99TEFBUejLdgZ4BxOIznftwPTY2yZTxwbAR8bfILdO6Hm5iUzmepIJK3WRQHBw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:30:17.330763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.1742","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe40ae7d0cd87f1f79964a79ddb8f795ecdc3305bdfe1dee265dc5f12b4af685","sha256:55da2902e42fbdebe763eeeab9782eccf8e1997aa50ebec426f4f779b5d08890"],"state_sha256":"97be774c8fdfba3412d6bb6204dc1438e3a6f4776f678d3b368a9325af0ea943"}