{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IIZQSAH5KNV5KOQTZCYYDEWUSH","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":"481f053ba3d7b3b471a54ff2f003215246d9e22cfeb02a3304496774a44ba8b0","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-05-31T15:35:52Z","title_canon_sha256":"bf9bbfa330c56d033215d14a43b132a75c0b5ffa352d0e46096c96a738954159"},"schema_version":"1.0","source":{"id":"1205.7020","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.7020","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"1205.7020v2","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.7020","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"IIZQSAH5KNV5","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IIZQSAH5KNV5KOQT","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IIZQSAH5","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:06ae6f139e2b234daf4cc82141ae74c8279b49202d89d59a390beca2639450cb","target":"graph","created_at":"2026-05-18T03:53:54Z","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 goal of this paper is to construct quantum analogues of Chevalley groups inside completions of quantum groups or, more precisely, inside completions of Hall algebras of finitary categories. In particular, we obtain pentagonal and other identities in the quantum Chevalley groups which generalize their classical counterparts and explain Faddeev-Volkov quantum dilogarithmic identities and their recent generalizations due to Keller","authors_text":"Arkady Berenstein, Jacob Greenstein","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-05-31T15:35:52Z","title":"Quantum Chevalley groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.7020","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":"sha256:58f484556e3789889d7bf062586601f34ec9d7ba1a8c15c7ac836db5d322ad60","target":"record","created_at":"2026-05-18T03:53:54Z","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":"481f053ba3d7b3b471a54ff2f003215246d9e22cfeb02a3304496774a44ba8b0","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-05-31T15:35:52Z","title_canon_sha256":"bf9bbfa330c56d033215d14a43b132a75c0b5ffa352d0e46096c96a738954159"},"schema_version":"1.0","source":{"id":"1205.7020","kind":"arxiv","version":2}},"canonical_sha256":"42330900fd536bd53a13c8b18192d491eb0b29a2eef884d6b22aa10059672005","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42330900fd536bd53a13c8b18192d491eb0b29a2eef884d6b22aa10059672005","first_computed_at":"2026-05-18T03:53:54.034014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:54.034014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DOpij6CKwk1+Er+mxJSbzTRQE7PwwRADYa/jvQ8AXFvyiFVV5xA4qDfN8dgxNFyc/HWhRTRm2sBs7gz5MpKtDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:54.034752Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.7020","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58f484556e3789889d7bf062586601f34ec9d7ba1a8c15c7ac836db5d322ad60","sha256:06ae6f139e2b234daf4cc82141ae74c8279b49202d89d59a390beca2639450cb"],"state_sha256":"7f1c5c81e9f34f3dcfe23adab9d02bde55127bf8c70859e5ea028a5dcfdc3897"}