{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:LA7AH3EV77433DHIC2GUE5SB3T","short_pith_number":"pith:LA7AH3EV","schema_version":"1.0","canonical_sha256":"583e03ec95fff9bd8ce8168d427641dce98391712194839aa947be85e8117a52","source":{"kind":"arxiv","id":"1704.05814","version":1},"attestation_state":"computed","paper":{"title":"Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.QA","authors_text":"Maxime Fairon, Oleg Chalykh","submitted_at":"2017-04-19T16:46:18Z","abstract_excerpt":"We study some classical integrable systems naturally associated with multiplicative quiver varieties for the (extended) cyclic quiver with $m$ vertices. The phase space of our integrable systems is obtained by quasi-Hamiltonian reduction from the space of representations of the quiver. Three families of Poisson-commuting functions are constructed and written explicitly in suitable Darboux coordinates. The case $m=1$ corresponds to the tadpole quiver and the Ruijsenaars-Schneider system and its variants, while for $m>1$ we obtain new integrable systems that generalise the Ruijsenaars-Schneider "},"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":"1704.05814","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-04-19T16:46:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c2a6feb7779d7002c9408a6a0887ffaaa5efb56f1631060e377810ad01f6273c","abstract_canon_sha256":"9fc95f12b14f758ef2aa634f048296995dbdcf9d6ee85e70c0360d76ff5c0f3a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:14.060738Z","signature_b64":"2q6ikOoGzB9ZJLcu4w1C0NfhfLVHPnbYytstGXbV/uLy5vYSjhVeEqtdjysose09m11GrhCF2sE9xH1hL9+RDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"583e03ec95fff9bd8ce8168d427641dce98391712194839aa947be85e8117a52","last_reissued_at":"2026-05-18T00:19:14.060072Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:14.060072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.QA","authors_text":"Maxime Fairon, Oleg Chalykh","submitted_at":"2017-04-19T16:46:18Z","abstract_excerpt":"We study some classical integrable systems naturally associated with multiplicative quiver varieties for the (extended) cyclic quiver with $m$ vertices. The phase space of our integrable systems is obtained by quasi-Hamiltonian reduction from the space of representations of the quiver. Three families of Poisson-commuting functions are constructed and written explicitly in suitable Darboux coordinates. The case $m=1$ corresponds to the tadpole quiver and the Ruijsenaars-Schneider system and its variants, while for $m>1$ we obtain new integrable systems that generalise the Ruijsenaars-Schneider "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05814","kind":"arxiv","version":1},"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":"1704.05814","created_at":"2026-05-18T00:19:14.060194+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.05814v1","created_at":"2026-05-18T00:19:14.060194+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05814","created_at":"2026-05-18T00:19:14.060194+00:00"},{"alias_kind":"pith_short_12","alias_value":"LA7AH3EV7743","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"LA7AH3EV77433DHI","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"LA7AH3EV","created_at":"2026-05-18T12:31:28.150371+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2605.17696","citing_title":"Coupled double Poisson brackets","ref_index":87,"is_internal_anchor":true},{"citing_arxiv_id":"2601.19878","citing_title":"Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems","ref_index":19,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LA7AH3EV77433DHIC2GUE5SB3T","json":"https://pith.science/pith/LA7AH3EV77433DHIC2GUE5SB3T.json","graph_json":"https://pith.science/api/pith-number/LA7AH3EV77433DHIC2GUE5SB3T/graph.json","events_json":"https://pith.science/api/pith-number/LA7AH3EV77433DHIC2GUE5SB3T/events.json","paper":"https://pith.science/paper/LA7AH3EV"},"agent_actions":{"view_html":"https://pith.science/pith/LA7AH3EV77433DHIC2GUE5SB3T","download_json":"https://pith.science/pith/LA7AH3EV77433DHIC2GUE5SB3T.json","view_paper":"https://pith.science/paper/LA7AH3EV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.05814&json=true","fetch_graph":"https://pith.science/api/pith-number/LA7AH3EV77433DHIC2GUE5SB3T/graph.json","fetch_events":"https://pith.science/api/pith-number/LA7AH3EV77433DHIC2GUE5SB3T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LA7AH3EV77433DHIC2GUE5SB3T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LA7AH3EV77433DHIC2GUE5SB3T/action/storage_attestation","attest_author":"https://pith.science/pith/LA7AH3EV77433DHIC2GUE5SB3T/action/author_attestation","sign_citation":"https://pith.science/pith/LA7AH3EV77433DHIC2GUE5SB3T/action/citation_signature","submit_replication":"https://pith.science/pith/LA7AH3EV77433DHIC2GUE5SB3T/action/replication_record"}},"created_at":"2026-05-18T00:19:14.060194+00:00","updated_at":"2026-05-18T00:19:14.060194+00:00"}