{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:TNSHAW27DITQ3A3PDTHSZIABPW","short_pith_number":"pith:TNSHAW27","schema_version":"1.0","canonical_sha256":"9b64705b5f1a270d836f1ccf2ca0017dabb894dcb5d26831f3b1995e2c103086","source":{"kind":"arxiv","id":"1101.1759","version":4},"attestation_state":"computed","paper":{"title":"Self-duality of the compactified Ruijsenaars-Schneider system from quasi-Hamiltonian reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","math.SG","nlin.SI"],"primary_cat":"math-ph","authors_text":"C. Klimcik, L. Feher","submitted_at":"2011-01-10T10:29:37Z","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-"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1101.1759","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-01-10T10:29:37Z","cross_cats_sorted":["hep-th","math.MP","math.SG","nlin.SI"],"title_canon_sha256":"6ecc30ffa77dbdc1245fc9cf67e1bcbe117f9f57b84b007762bba5badb1736a9","abstract_canon_sha256":"eb772d5324e64ec9320559a99ab9061da18d038853b519a34d9b69d714719adb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:43.661148Z","signature_b64":"hSQp0ooW0J1euhQeOvI9u0Xc0gD8PLGFiNKDYchTqfuF6Eu0D9YsKDL0Kz4+2A0Dc83cK1ucLjEVaP0WyvpqAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b64705b5f1a270d836f1ccf2ca0017dabb894dcb5d26831f3b1995e2c103086","last_reissued_at":"2026-05-18T02:03:43.660542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:43.660542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Self-duality of the compactified Ruijsenaars-Schneider system from quasi-Hamiltonian reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","math.SG","nlin.SI"],"primary_cat":"math-ph","authors_text":"C. Klimcik, L. Feher","submitted_at":"2011-01-10T10:29:37Z","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-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1759","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1101.1759","created_at":"2026-05-18T02:03:43.660632+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.1759v4","created_at":"2026-05-18T02:03:43.660632+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1759","created_at":"2026-05-18T02:03:43.660632+00:00"},{"alias_kind":"pith_short_12","alias_value":"TNSHAW27DITQ","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"TNSHAW27DITQ3A3P","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"TNSHAW27","created_at":"2026-05-18T12:26:42.757692+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.12051","citing_title":"Integrable systems from Poisson reductions of generalized Hamiltonian torus actions","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"2604.18023","citing_title":"Spherical singularities in compactified Ruijsenaars--Schneider systems","ref_index":18,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TNSHAW27DITQ3A3PDTHSZIABPW","json":"https://pith.science/pith/TNSHAW27DITQ3A3PDTHSZIABPW.json","graph_json":"https://pith.science/api/pith-number/TNSHAW27DITQ3A3PDTHSZIABPW/graph.json","events_json":"https://pith.science/api/pith-number/TNSHAW27DITQ3A3PDTHSZIABPW/events.json","paper":"https://pith.science/paper/TNSHAW27"},"agent_actions":{"view_html":"https://pith.science/pith/TNSHAW27DITQ3A3PDTHSZIABPW","download_json":"https://pith.science/pith/TNSHAW27DITQ3A3PDTHSZIABPW.json","view_paper":"https://pith.science/paper/TNSHAW27","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.1759&json=true","fetch_graph":"https://pith.science/api/pith-number/TNSHAW27DITQ3A3PDTHSZIABPW/graph.json","fetch_events":"https://pith.science/api/pith-number/TNSHAW27DITQ3A3PDTHSZIABPW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TNSHAW27DITQ3A3PDTHSZIABPW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TNSHAW27DITQ3A3PDTHSZIABPW/action/storage_attestation","attest_author":"https://pith.science/pith/TNSHAW27DITQ3A3PDTHSZIABPW/action/author_attestation","sign_citation":"https://pith.science/pith/TNSHAW27DITQ3A3PDTHSZIABPW/action/citation_signature","submit_replication":"https://pith.science/pith/TNSHAW27DITQ3A3PDTHSZIABPW/action/replication_record"}},"created_at":"2026-05-18T02:03:43.660632+00:00","updated_at":"2026-05-18T02:03:43.660632+00:00"}