{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:FVS7MKWGAPNFIMRSUEWMYF42SC","short_pith_number":"pith:FVS7MKWG","schema_version":"1.0","canonical_sha256":"2d65f62ac603da543232a12ccc179a909530bf3e2bcae9dfda1db72a516ec0ac","source":{"kind":"arxiv","id":"1908.02467","version":2},"attestation_state":"computed","paper":{"title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"L. Feher","submitted_at":"2019-08-07T07:24:47Z","abstract_excerpt":"We first exhibit two compatible Poisson structures on the cotangent bundle of the unitary group $\\mathrm{U}(n)$ in such a way that the invariant functions of the $\\mathfrak{u}(n)^*$-valued momenta generate a bi-Hamiltonian hierarchy. One of the Poisson structures is the canonical one and the other one arises from embedding the Heisenberg double of the Poisson-Lie group $\\mathrm{U}(n)$ into $T^*\\mathrm{U}(n)$, and subsequently extending the embedded Poisson structure to the full cotangent bundle. We then apply Poisson reduction to the bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ using the con"},"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":"1908.02467","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-07T07:24:47Z","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"title_canon_sha256":"7aaf23e8e45aeeae747f05831c329428b15b23c1a77aa761e2a062eef5f88f0f","abstract_canon_sha256":"d5c22333f9c1e18478abf08856e7a65869698551b4175a069af78e6da31e071e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:20:11.646477Z","signature_b64":"2Moz4eFHX0mAjWYJlIXaCOiNAfdjImKKC5x43SMoDD2sG1DHVkzqQWLMy/7cGYuN84W2NZ61oDCOgeCRG5pOAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d65f62ac603da543232a12ccc179a909530bf3e2bcae9dfda1db72a516ec0ac","last_reissued_at":"2026-07-05T01:20:11.645922Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:20:11.645922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"L. Feher","submitted_at":"2019-08-07T07:24:47Z","abstract_excerpt":"We first exhibit two compatible Poisson structures on the cotangent bundle of the unitary group $\\mathrm{U}(n)$ in such a way that the invariant functions of the $\\mathfrak{u}(n)^*$-valued momenta generate a bi-Hamiltonian hierarchy. One of the Poisson structures is the canonical one and the other one arises from embedding the Heisenberg double of the Poisson-Lie group $\\mathrm{U}(n)$ into $T^*\\mathrm{U}(n)$, and subsequently extending the embedded Poisson structure to the full cotangent bundle. We then apply Poisson reduction to the bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ using the con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02467","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.02467/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1908.02467","created_at":"2026-07-05T01:20:11.646001+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.02467v2","created_at":"2026-07-05T01:20:11.646001+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02467","created_at":"2026-07-05T01:20:11.646001+00:00"},{"alias_kind":"pith_short_12","alias_value":"FVS7MKWGAPNF","created_at":"2026-07-05T01:20:11.646001+00:00"},{"alias_kind":"pith_short_16","alias_value":"FVS7MKWGAPNFIMRS","created_at":"2026-07-05T01:20:11.646001+00:00"},{"alias_kind":"pith_short_8","alias_value":"FVS7MKWG","created_at":"2026-07-05T01:20:11.646001+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FVS7MKWGAPNFIMRSUEWMYF42SC","json":"https://pith.science/pith/FVS7MKWGAPNFIMRSUEWMYF42SC.json","graph_json":"https://pith.science/api/pith-number/FVS7MKWGAPNFIMRSUEWMYF42SC/graph.json","events_json":"https://pith.science/api/pith-number/FVS7MKWGAPNFIMRSUEWMYF42SC/events.json","paper":"https://pith.science/paper/FVS7MKWG"},"agent_actions":{"view_html":"https://pith.science/pith/FVS7MKWGAPNFIMRSUEWMYF42SC","download_json":"https://pith.science/pith/FVS7MKWGAPNFIMRSUEWMYF42SC.json","view_paper":"https://pith.science/paper/FVS7MKWG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.02467&json=true","fetch_graph":"https://pith.science/api/pith-number/FVS7MKWGAPNFIMRSUEWMYF42SC/graph.json","fetch_events":"https://pith.science/api/pith-number/FVS7MKWGAPNFIMRSUEWMYF42SC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FVS7MKWGAPNFIMRSUEWMYF42SC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FVS7MKWGAPNFIMRSUEWMYF42SC/action/storage_attestation","attest_author":"https://pith.science/pith/FVS7MKWGAPNFIMRSUEWMYF42SC/action/author_attestation","sign_citation":"https://pith.science/pith/FVS7MKWGAPNFIMRSUEWMYF42SC/action/citation_signature","submit_replication":"https://pith.science/pith/FVS7MKWGAPNFIMRSUEWMYF42SC/action/replication_record"}},"created_at":"2026-07-05T01:20:11.646001+00:00","updated_at":"2026-07-05T01:20:11.646001+00:00"}