{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5BANUGMRD62VITSHSQ6AGTXION","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":"8e278d76a3a5615fefa95970f91c4570e1c63149f67d2ef1df761765d3295b38","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-08-04T04:34:28Z","title_canon_sha256":"c3387ab8615be703d270b0158153f047acdeeee9226bb25ac2391266b9c2663b"},"schema_version":"1.0","source":{"id":"1708.01375","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01375","created_at":"2026-05-18T00:31:35Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01375v2","created_at":"2026-05-18T00:31:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01375","created_at":"2026-05-18T00:31:35Z"},{"alias_kind":"pith_short_12","alias_value":"5BANUGMRD62V","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5BANUGMRD62VITSH","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5BANUGMR","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:c205ae3ab4367e2de63bf2c5912febf8c3e41e648d3d8bf336431774d1cb8d70","target":"graph","created_at":"2026-05-18T00:31:35Z","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 $G$ be any connected and simply connected complex semisimple Lie group, equipped with a standard holomorphic multiplicative Poisson structure. We show that the Hamiltonian flows of all the Fomin-Zelevinsky twisted generalized minors on every double Bruhat cell of $G$ are complete in the sense that all the integral curves of their Hamiltonian vector fields are defined on ${\\mathbb{C}}$. It follows that all the Kogan-Zelevinsky integrable systems on $G$ have complete Hamiltonian flows, generalizing the result of Gekhtman and Yakimov for the case of $SL(n, {\\mathbb{C}})$. We in fact construct","authors_text":"Jiang-Hua Lu, Yipeng Mi","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-08-04T04:34:28Z","title":"Generalized Bruhat Cells and Completeness of Hamiltonian Flows of Kogan-Zelevinsky Integrable Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01375","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":"sha256:2b00e5e905fcb9cc672e4dc5861f92f7b0b45e8a2f4ea6ef18a81cdafee67a04","target":"record","created_at":"2026-05-18T00:31:35Z","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":"8e278d76a3a5615fefa95970f91c4570e1c63149f67d2ef1df761765d3295b38","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-08-04T04:34:28Z","title_canon_sha256":"c3387ab8615be703d270b0158153f047acdeeee9226bb25ac2391266b9c2663b"},"schema_version":"1.0","source":{"id":"1708.01375","kind":"arxiv","version":2}},"canonical_sha256":"e840da19911fb5544e47943c034ee8735e42811683504d6199adaab7f0aeb963","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e840da19911fb5544e47943c034ee8735e42811683504d6199adaab7f0aeb963","first_computed_at":"2026-05-18T00:31:35.718279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:35.718279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZWCWj8HlIOauIpPgDZ/Rmz5EMMnmM2d/aVtjDz0XXjaQDGwrI/ie0NbmwzPwjFn8YtJoe3v31uCcvrO+h8jaBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:35.718841Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.01375","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b00e5e905fcb9cc672e4dc5861f92f7b0b45e8a2f4ea6ef18a81cdafee67a04","sha256:c205ae3ab4367e2de63bf2c5912febf8c3e41e648d3d8bf336431774d1cb8d70"],"state_sha256":"c70d2230db54e80208ef5ffb58bc106b06047a00274fc23066fc7435fba27c14"}