{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TNSHAW27DITQ3A3PDTHSZIABPW","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":"eb772d5324e64ec9320559a99ab9061da18d038853b519a34d9b69d714719adb","cross_cats_sorted":["hep-th","math.MP","math.SG","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-01-10T10:29:37Z","title_canon_sha256":"6ecc30ffa77dbdc1245fc9cf67e1bcbe117f9f57b84b007762bba5badb1736a9"},"schema_version":"1.0","source":{"id":"1101.1759","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1759","created_at":"2026-05-18T02:03:43Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1759v4","created_at":"2026-05-18T02:03:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1759","created_at":"2026-05-18T02:03:43Z"},{"alias_kind":"pith_short_12","alias_value":"TNSHAW27DITQ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TNSHAW27DITQ3A3P","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TNSHAW27","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:391e95970c68d5b2152b94a85186ffc0ecc61a9164e9b96447275460473e054a","target":"graph","created_at":"2026-05-18T02:03:43Z","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 Delzant theorem of symplectic topology is used to derive the completely integrable compactified Ruijsenaars-Schneider III(b) system from a quasi-Hamiltonian reduction of the internally fused double SU(n) x SU(n). In particular, the reduced spectral functions depending respectively on the first and second SU(n) factor of the double engender two toric moment maps on the III(b) phase space CP(n-1) that play the roles of action-variables and particle-positions. A suitable central extension of the SL(2,Z) mapping class group of the torus with one boundary component is shown to act on the quasi-","authors_text":"C. Klimcik, L. Feher","cross_cats":["hep-th","math.MP","math.SG","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-01-10T10:29:37Z","title":"Self-duality of the compactified Ruijsenaars-Schneider system from quasi-Hamiltonian reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1759","kind":"arxiv","version":4},"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":"sha256:9e6e280e034693a8aa3427906db587dc7b62313d5ee4e9ab85dd061546c2e78d","target":"record","created_at":"2026-05-18T02:03:43Z","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":"eb772d5324e64ec9320559a99ab9061da18d038853b519a34d9b69d714719adb","cross_cats_sorted":["hep-th","math.MP","math.SG","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-01-10T10:29:37Z","title_canon_sha256":"6ecc30ffa77dbdc1245fc9cf67e1bcbe117f9f57b84b007762bba5badb1736a9"},"schema_version":"1.0","source":{"id":"1101.1759","kind":"arxiv","version":4}},"canonical_sha256":"9b64705b5f1a270d836f1ccf2ca0017dabb894dcb5d26831f3b1995e2c103086","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b64705b5f1a270d836f1ccf2ca0017dabb894dcb5d26831f3b1995e2c103086","first_computed_at":"2026-05-18T02:03:43.660542Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:43.660542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hSQp0ooW0J1euhQeOvI9u0Xc0gD8PLGFiNKDYchTqfuF6Eu0D9YsKDL0Kz4+2A0Dc83cK1ucLjEVaP0WyvpqAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:43.661148Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.1759","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e6e280e034693a8aa3427906db587dc7b62313d5ee4e9ab85dd061546c2e78d","sha256:391e95970c68d5b2152b94a85186ffc0ecc61a9164e9b96447275460473e054a"],"state_sha256":"2600878b0c05185a20228ab007ab38ae5bc3bc9b44871020cb320ebb73a18708"}