{"as_of":"2026-08-15T01:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6c078542085f46d5d0d2421bb77a42046c7eb7005fffccef8ef1637f7ad57ae9","coverage":[{"denominator":49,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":49,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:58:42.397472Z","state":"measured"},{"denominator":49,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":49,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.02467/citation-record","integrity":"/paper/1908.02467/integrity","json":"/paper/1908.02467/citation-record.json","paper":"/paper/1908.02467"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1902.06755","last_updated":"2019-06-13T10:06:30Z","snapshot_observed_at":"2026-08-14T17:14:46.000592Z","submitted_at":"2019-02-18T19:00:08Z","title":"Quantum Trace Formulae for the Integrals of the Hyperbolic Ruijsenaars-Schneider model","version":2},"cited_work":{"arxiv_id":"1902.06755","doi":null,"metadata_source":"pith","pith_arxiv_id":"1902.06755","snapshot_observed_at":"2026-08-14T14:58:44.874760Z","title":"Quantum Trace Formulae for the Integrals of the Hyperbolic Ruijsenaars-Schneider model","venue":"hep-th","work_id":"ae3591f0-a03e-42ea-ab9f-c01f6f623ba1","year":2019},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.493240Z"},"links":{"cited_paper":"/paper/1902.06755","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:58ad9ea6972194ab05aef8f11c612fd98735cb86c4a580a88cc16ef3a1fcdc52","observation_id":"f6a00ea3-bb5b-4363-acac-2de506c205d6","resolution":{"observed_at":"2026-08-14T14:58:44.961850Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1906.02619","last_updated":"2019-08-21T09:10:42Z","snapshot_observed_at":"2026-08-14T16:19:48.272018Z","submitted_at":"2019-06-06T14:44:55Z","title":"Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.02619","snapshot_observed_at":"2026-08-14T14:58:41.499765Z","title":"Arutyunov and E","venue":null,"work_id":null,"year":1906},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.499765Z"},"links":{"cited_paper":"/paper/1906.02619","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:26c06bf660f0d348c2df793cf9bda9a36fc8501fc765df73b8305bc69dffb826","observation_id":"acf64765-fb25-4b29-8683-6e8ce3de43b7","resolution":{"observed_at":"2026-08-14T14:58:41.499765Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.847164Z","title":"Balog, L","venue":null,"work_id":"5163f983-0afb-433a-8f17-d5e2c3dad752","year":1990},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.504842Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:b5ed987b808ceea799aec51e078b03a4dd31aacbe45059f8ded0ac87921169e8","observation_id":"6809a83b-8ee1-4aae-8cb2-d62da77e776f","resolution":{"observed_at":"2026-08-14T14:58:45.850927Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0902.0953","last_updated":"2009-06-03T11:51:16Z","snapshot_observed_at":"2026-08-06T08:33:11.603435Z","submitted_at":"2009-02-05T18:07:33Z","title":"On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system","version":2},"cited_work":{"arxiv_id":"0902.0953","doi":null,"metadata_source":"pith","pith_arxiv_id":"0902.0953","snapshot_observed_at":"2026-08-14T14:58:44.747254Z","title":"On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system","venue":"math-ph","work_id":"0f500055-1a5b-42df-9d59-1cbed9260a6a","year":2009},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.509581Z"},"links":{"cited_paper":"/paper/0902.0953","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:cdd6bcd67928b7316e192194892d29ff48f3ef65e998ad19bcc1a4139510aee6","observation_id":"10f806b4-b4ad-4c8b-8b69-5f642ba8bf63","resolution":{"observed_at":"2026-08-14T14:58:44.795314Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9603178","last_updated":"1996-04-03T10:29:50Z","snapshot_observed_at":"2026-08-02T20:10:43.471988Z","submitted_at":"1996-03-27T06:16:04Z","title":"Affine Toda Solitons and Systems of Calogero-Moser Type","version":2},"cited_work":{"arxiv_id":"hep-th/9603178","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9603178","snapshot_observed_at":"2026-08-14T14:58:44.728784Z","title":"Affine Toda Solitons and Systems of Calogero-Moser Type","venue":"hep-th","work_id":"96691a02-4012-4cae-a90e-e613c5b71643","year":1996},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.618704Z"},"links":{"cited_paper":"/paper/hep-th/9603178","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:6c4fc7d7ad76e3f0c0c374c732b2c93bbe6126c99d4a7b71d26fd2f463afc40a","observation_id":"cce0de29-8302-4b76-b01a-df9775ec99cc","resolution":{"observed_at":"2026-08-14T14:58:44.733976Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.828146Z","title":"Calogero, Solution of the one-dimensional N-body problem with quadra tic and/or in- versely quadratic pair potentials , J","venue":null,"work_id":"e8f96914-8879-426b-aeb2-84b6f06d5285","year":1971},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.761780Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:246fea9817fed66937471626227a7f21af2a5e8b56fe1654c20fdafd0d49fbc4","observation_id":"63d0ea91-258b-4de4-b5ff-b4877935626e","resolution":{"observed_at":"2026-08-14T14:58:45.838576Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1704.05814","last_updated":"2017-04-19T16:46:18Z","snapshot_observed_at":"2026-08-14T21:05:59.073376Z","submitted_at":"2017-04-19T16:46:18Z","title":"Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.05814","snapshot_observed_at":"2026-08-14T14:58:41.766234Z","title":"Chalykh and M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.766234Z"},"links":{"cited_paper":"/paper/1704.05814","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:a6f929dd3bc9d888421992ed1235ebd5eb388d3044736d5c6768fefeae5512d8","observation_id":"9bb8e65b-398e-4c40-8d76-903423290d27","resolution":{"observed_at":"2026-08-14T14:58:41.766234Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.08727","last_updated":"2020-08-22T09:01:39Z","snapshot_observed_at":"2026-08-14T17:55:39.074335Z","submitted_at":"2018-11-21T13:43:20Z","title":"On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.08727","snapshot_observed_at":"2026-08-14T14:58:41.770452Z","title":"Chalykh and M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.770452Z"},"links":{"cited_paper":"/paper/1811.08727","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:b995a2479127803651faf4b611eb3ebcdb65c2b300397b55a85d602dc150ce44","observation_id":"3765ed94-86a1-428d-9910-36b672721f27","resolution":{"observed_at":"2026-08-14T14:58:41.770452Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9407047","last_updated":"1994-10-31T19:47:42Z","snapshot_observed_at":"2026-08-08T09:11:50.073885Z","submitted_at":"1994-07-09T00:30:33Z","title":"Spherical functions on affine Lie groups","version":4},"cited_work":{"arxiv_id":"hep-th/9407047","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9407047","snapshot_observed_at":"2026-08-14T14:58:44.684206Z","title":"Spherical functions on affine Lie groups","venue":"hep-th","work_id":"3d51f61b-ed54-41f0-9ae3-613a9b3d3114","year":1994},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.774815Z"},"links":{"cited_paper":"/paper/hep-th/9407047","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:ceca63dabf6abff5558fda900859079bf5a3764bad80ea0081b8f6837763bf34","observation_id":"eed17f07-26a5-4f6a-975a-d29c177bc9cf","resolution":{"observed_at":"2026-08-14T14:58:44.689013Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"q-alg/9703040","last_updated":"1997-06-16T20:10:33Z","snapshot_observed_at":"2026-08-11T23:45:05.441988Z","submitted_at":"1997-03-21T19:10:06Z","title":"Geometry and classification of solutions of the Classical Dynamical Yang-Baxter Equation","version":2},"cited_work":{"arxiv_id":"q-alg/9703040","doi":null,"metadata_source":"pith","pith_arxiv_id":"q-alg/9703040","snapshot_observed_at":"2026-08-14T14:58:44.666055Z","title":"Geometry and classification of solutions of the Classical Dynamical Yang-Baxter Equation","venue":"q-alg","work_id":"59143293-9443-4d4f-84ed-b1231c167268","year":1997},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.779410Z"},"links":{"cited_paper":"/paper/q-alg/9703040","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:8b0c0134adb4a698fa59512f977343795fe8438a284a6e3bfc78c149bebb3235","observation_id":"73029019-c05f-4d12-b636-e4823116bafd","resolution":{"observed_at":"2026-08-14T14:58:44.671227Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"solv-int/9806002","last_updated":"1998-06-01T16:18:34Z","snapshot_observed_at":"2026-07-07T07:30:57.010465Z","submitted_at":"1998-06-01T16:18:34Z","title":"Bihamiltonian Geometry, Darboux Coverings, and Linearization of the KP Hierarchy","version":1},"cited_work":{"arxiv_id":"solv-int/9806002","doi":null,"metadata_source":"pith","pith_arxiv_id":"solv-int/9806002","snapshot_observed_at":"2026-08-14T14:58:44.648575Z","title":"Bihamiltonian Geometry, Darboux Coverings, and Linearization of the KP Hierarchy","venue":"solv-int","work_id":"e4f99491-af30-4a55-adee-afcd1448b8ec","year":1998},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.784322Z"},"links":{"cited_paper":"/paper/solv-int/9806002","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:891a46a9db47eeefada4cb90b1867ed803113eb6b7e537fc311c6c54625b7efe","observation_id":"250faff7-1632-417c-94ef-913c4a169aeb","resolution":{"observed_at":"2026-08-14T14:58:44.653416Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1511.06339","last_updated":"2015-12-01T19:07:05Z","snapshot_observed_at":"2026-08-14T22:22:10.030616Z","submitted_at":"2015-11-19T20:13:09Z","title":"Bi-Hamiltonian geometry and canonical spectral coordinates for the Rational Calogero-Moser system","version":2},"cited_work":{"arxiv_id":"1511.06339","doi":null,"metadata_source":"pith","pith_arxiv_id":"1511.06339","snapshot_observed_at":"2026-08-14T14:58:44.633040Z","title":"Bi-Hamiltonian geometry and canonical spectral coordinates for the Rational Calogero-Moser system","venue":"math-ph","work_id":"84496512-e374-4feb-8e4b-039e72d30cdd","year":2015},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.808797Z"},"links":{"cited_paper":"/paper/1511.06339","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:2418c7d86272bd28c64134692a68a91d8457d2f6c06aadadd1370ed4e5f30308","observation_id":"632a53d5-655f-4947-9b16-80c7b6c5a677","resolution":{"observed_at":"2026-08-14T14:58:44.637197Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1809.01529","last_updated":"2019-10-17T09:14:14Z","snapshot_observed_at":"2026-08-14T18:32:41.318087Z","submitted_at":"2018-09-05T14:11:53Z","title":"Poisson-Lie analogues of spin Sutherland models","version":3},"cited_work":{"arxiv_id":"1809.01529","doi":null,"metadata_source":"pith","pith_arxiv_id":"1809.01529","snapshot_observed_at":"2026-08-14T14:58:42.864842Z","title":"Poisson-Lie analogues of spin Sutherland models","venue":"math-ph","work_id":"7dc173d0-406e-4116-b394-51b2154a4ec1","year":2018},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.856570Z"},"links":{"cited_paper":"/paper/1809.01529","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:e5ca13d5e54a9167bf83025e7a3a0b581408ff6201e1c5a827fd66e5461eb894","observation_id":"0de2f24e-06c1-4fff-929a-15d9fd7d7b27","resolution":{"observed_at":"2026-08-14T14:58:44.618570Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.03558","last_updated":"2019-10-16T08:45:26Z","snapshot_observed_at":"2026-08-14T17:32:16.244746Z","submitted_at":"2019-01-11T11:42:11Z","title":"Bi-Hamiltonian structure of a dynamical system introduced by Braden and Hone","version":2},"cited_work":{"arxiv_id":"1901.03558","doi":null,"metadata_source":"pith","pith_arxiv_id":"1901.03558","snapshot_observed_at":"2026-08-14T14:58:42.813944Z","title":"Bi-Hamiltonian structure of a dynamical system introduced by Braden and Hone","venue":"math-ph","work_id":"134120b7-eff5-40ed-a895-eb1ec728ef56","year":2019},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.943902Z"},"links":{"cited_paper":"/paper/1901.03558","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:992b9a9d3d544079222a78d091a680ba7fa4780bd3b71776c6c8ffc2cf245245","observation_id":"45bb099f-dd45-4b56-bf6c-2ab419424c22","resolution":{"observed_at":"2026-08-14T14:58:42.847294Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0809.1509","last_updated":"2009-01-14T13:58:25Z","snapshot_observed_at":"2026-08-03T12:38:13.630448Z","submitted_at":"2008-09-09T08:49:50Z","title":"Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction","version":2},"cited_work":{"arxiv_id":"0809.1509","doi":null,"metadata_source":"pith","pith_arxiv_id":"0809.1509","snapshot_observed_at":"2026-08-14T14:58:42.750275Z","title":"Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction","venue":"math-ph","work_id":"d7b08d47-cafd-4b0b-88fc-4cbc66f306ac","year":2008},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.980230Z"},"links":{"cited_paper":"/paper/0809.1509","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:9009047b6f047b8b58749cabd74a9609c9d086a446df0d414d6e4b2848473ccd","observation_id":"f9fd5dea-b871-495b-ab77-c0a1d80197ee","resolution":{"observed_at":"2026-08-14T14:58:42.774778Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0906.4198","last_updated":"2010-06-24T08:09:58Z","snapshot_observed_at":"2026-07-06T01:57:48.046036Z","submitted_at":"2009-06-23T16:12:31Z","title":"Poisson-Lie interpretation of trigonometric Ruijsenaars duality","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0906.4198","snapshot_observed_at":"2026-08-14T14:58:41.984775Z","title":"Feh´ er and C","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.984775Z"},"links":{"cited_paper":"/paper/0906.4198","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:80d495b372aedc7d3657273b813196fbd650a0ce338556fab9db2c2570168cca","observation_id":"5b62556e-b330-4aa6-b4c1-3da255121a76","resolution":{"observed_at":"2026-08-14T14:58:41.984775Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math-ph/0507062","last_updated":"2005-12-07T12:37:19Z","snapshot_observed_at":"2026-08-15T01:29:24.373510Z","submitted_at":"2005-07-25T09:15:53Z","title":"Spin Calogero models obtained from dynamical r-matrices and geodesic motion","version":2},"cited_work":{"arxiv_id":"math-ph/0507062","doi":null,"metadata_source":"pith","pith_arxiv_id":"math-ph/0507062","snapshot_observed_at":"2026-08-14T14:58:42.696129Z","title":"Spin Calogero models obtained from dynamical r-matrices and geodesic motion","venue":"math-ph","work_id":"fa5a7b8a-6c02-49cb-a35f-564dcd2dc164","year":2005},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.991118Z"},"links":{"cited_paper":"/paper/math-ph/0507062","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:c98b7e63e06f2333b1371f38cf01602e08f89c76292e206ed8f3c7915c60f9e8","observation_id":"eacd6af5-ff5c-4e61-b8f1-c1fe671158f3","resolution":{"observed_at":"2026-08-14T14:58:42.700748Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/9802054","last_updated":"1998-02-18T20:06:49Z","snapshot_observed_at":"2026-08-06T15:24:56.624265Z","submitted_at":"1998-02-10T22:39:52Z","title":"Poisson structure on moduli of flat connections on Riemann surfaces and $r$-matrix","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/9802054","snapshot_observed_at":"2026-08-14T14:58:41.996625Z","title":"Fock and A.A","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:41.996625Z"},"links":{"cited_paper":"/paper/math/9802054","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:beaa4a4d3df3f6dda7f750dcb5f8e197c9cb4bbadb0ab8222dbd489788c27d16","observation_id":"fcca8fc7-5780-4b3a-ab7c-02ae423cc03b","resolution":{"observed_at":"2026-08-14T14:58:41.996625Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.662628Z","title":"Gibbons and T","venue":null,"work_id":"919ae078-9da3-4384-9443-4eabeb9059c3","year":1984},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.050062Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:e8952670132e251be1e0c809da578589e18eb6485b2d149ff1b726b5951b71fa","observation_id":"18b24902-5bff-4e17-bcfb-5dd4b8577b64","resolution":{"observed_at":"2026-08-14T14:58:45.724100Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.602921Z","title":"Kazhdan, B","venue":null,"work_id":"7ef932cd-644c-4b3f-9472-5fb84d59f13b","year":1978},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.120516Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:9bba64a3649cc3585d4a6dc614e58a7a27a55f17d1e14817d26cf925809d621b","observation_id":"b79cfd40-74bd-4746-b672-06a72aefa738","resolution":{"observed_at":"2026-08-14T14:58:45.624562Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1712.08851","last_updated":"2018-10-02T11:03:03Z","snapshot_observed_at":"2026-08-14T20:00:28.548888Z","submitted_at":"2017-12-23T22:44:50Z","title":"Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types spins","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.08851","snapshot_observed_at":"2026-08-14T14:58:42.123975Z","title":"Kharchev, A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.123975Z"},"links":{"cited_paper":"/paper/1712.08851","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:a4b1772d70ba9f7f6aa79228d255db7a8965211263ad711329dc2f95a5396fb8","observation_id":"50392f58-a254-49ce-863f-f72658782e1b","resolution":{"observed_at":"2026-08-14T14:58:42.123975Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math-ph/0602048","last_updated":"2006-10-30T13:44:31Z","snapshot_observed_at":"2026-08-01T16:34:43.343547Z","submitted_at":"2006-02-20T15:52:43Z","title":"On moment maps associated to a twisted Heisenberg double","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math-ph/0602048","snapshot_observed_at":"2026-08-14T14:58:42.128836Z","title":"Klimˇ c ´ ık,On moment maps associated to a twisted Heisenberg double , Rev","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.128836Z"},"links":{"cited_paper":"/paper/math-ph/0602048","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:526902f874874720c6eea1b5511974c177f62f90ae844fff3f6a9f718c7499fa","observation_id":"422db7cd-1349-48e7-beba-c7a85f624694","resolution":{"observed_at":"2026-08-14T14:58:42.128836Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.591688Z","title":"Korogodski and Y.S","venue":null,"work_id":"3d4a75b7-6e77-492b-82a5-573d047ae2a4","year":1998},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.133861Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:17a1c9ea121fb0cb4624a7a93b20203daf2f096e9ab0763153abb36cb7a217e1","observation_id":"54e258ba-d583-4bca-813c-1e924f97c199","resolution":{"observed_at":"2026-08-14T14:58:45.595088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9505039","last_updated":"1995-05-07T18:03:54Z","snapshot_observed_at":"2026-07-07T05:08:07.295516Z","submitted_at":"1995-05-07T18:03:54Z","title":"Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9505039","snapshot_observed_at":"2026-08-14T14:58:42.138038Z","title":"Krichever and A","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.138038Z"},"links":{"cited_paper":"/paper/hep-th/9505039","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:3a58afd3139a55b50cfc917d0e5c02ab3fabfee454af7d257186b7271c81092f","observation_id":"3aaca92d-772c-4265-9952-212ff55812de","resolution":{"observed_at":"2026-08-14T14:58:42.138038Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math-ph/0506025","last_updated":"2005-06-10T14:44:21Z","snapshot_observed_at":"2026-07-07T06:15:44.413852Z","submitted_at":"2005-06-10T14:44:21Z","title":"Poisson involutions, spin Calogero-Moser systems associated with symmetric Lie subalgebras and the symmetric space spin Ruijsenaars-Schneider models","version":1},"cited_work":{"arxiv_id":"math-ph/0506025","doi":null,"metadata_source":"pith","pith_arxiv_id":"math-ph/0506025","snapshot_observed_at":"2026-08-14T14:58:42.627330Z","title":"Poisson involutions, spin Calogero-Moser systems associated with symmetric Lie subalgebras and the symmetric space spin Ruijsenaars-Schneider models","venue":"math-ph","work_id":"22760cb2-3183-4b23-9559-75fd4fef6485","year":2005},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.142708Z"},"links":{"cited_paper":"/paper/math-ph/0506025","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:e35864d27e32eda042bc042de987a1501e58368265524a7d9b7fed24f97b9c37","observation_id":"a6db0638-1a7b-4446-9b5d-2a313d9356a3","resolution":{"observed_at":"2026-08-14T14:58:42.632199Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0105162","last_updated":"2001-05-19T14:13:49Z","snapshot_observed_at":"2026-07-07T05:26:19.970494Z","submitted_at":"2001-05-19T14:13:49Z","title":"Integrable spin Calogero-Moser systems","version":1},"cited_work":{"arxiv_id":"math/0105162","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0105162","snapshot_observed_at":"2026-08-14T14:58:42.607865Z","title":"Integrable spin Calogero-Moser systems","venue":"math.QA","work_id":"08adf7fd-11a2-4bfb-837e-ff891dbe5e74","year":2001},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.146703Z"},"links":{"cited_paper":"/paper/math/0105162","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:9b8b2d8565b870a8b71c2f64fd7d2c19d238fdc44598f3cb62618cab3e71a11d","observation_id":"5f98ab58-82a9-4324-a244-6e0d8cf67b7a","resolution":{"observed_at":"2026-08-14T14:58:42.613400Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.580282Z","title":"Lu, Momentum mappings and reduction of Poisson actions , pp","venue":null,"work_id":"b6991a02-b028-41a8-abc4-e477bb0a7ba3","year":1991},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.188180Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:a5fcaa6cff3bded45b5d6e33c0fde7388c72654231f7fb7e5e3fc12ecbdb99d3","observation_id":"6309dec7-ceb9-4420-bd1b-0b9e3a4a7e4d","resolution":{"observed_at":"2026-08-14T14:58:45.584316Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.568684Z","title":"Moser, Three integrable Hamiltonian systems connected with isosp ectral deformations, Adv","venue":null,"work_id":"24f7d268-d0d9-4ad7-aa30-1a328d238d2c","year":1975},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.230182Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:c5ccb91151e4ebdc8fd11db6a3aca389f479060ea90084cd1561e394839fd2ac","observation_id":"a2d65529-c700-413d-8796-5d41d6e81c18","resolution":{"observed_at":"2026-08-14T14:58:45.572722Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.557157Z","title":"Nekrasov, Inﬁnite-dimensional algebras, many-body systems and gaug e theories , pp","venue":null,"work_id":"5c09a211-84f9-4314-8cf8-f922a8a84e8b","year":1999},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.233927Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:cba7996e4eae562ad5e9ec998a221885bcaa4b8ef1e79b8564276c1488875f41","observation_id":"493411cc-b06d-41bb-a4fe-bc5625283cb1","resolution":{"observed_at":"2026-08-14T14:58:45.560982Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.543259Z","title":"Oblomkov, Double aﬃne Hecke algebras and Calogero–Moser spaces , Represent","venue":null,"work_id":"2c661826-963c-470a-9e01-3b3dbd738ae2","year":2004},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.237906Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:13f40735af6bd1044e82fb8795084b94399965ec35f9ee8edce7b5df3c660ba3","observation_id":"5bc1ba11-ed14-4cbc-99c1-eaf47307ea3b","resolution":{"observed_at":"2026-08-14T14:58:45.547747Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.527549Z","title":"Ortega and T","venue":null,"work_id":"891c6fe9-9728-46b9-ac85-deab95766902","year":2004},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.241618Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:3adb4021a6544babc3885fdfda17116f013360baed660e176cfe33b748b63b2c","observation_id":"6e5005c7-447f-466d-8de5-26ac3d651c12","resolution":{"observed_at":"2026-08-14T14:58:45.532904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0202245","last_updated":"2002-02-23T09:14:00Z","snapshot_observed_at":"2026-07-07T05:29:05.963212Z","submitted_at":"2002-02-23T09:14:00Z","title":"Degenerate Integrability of Spin Calogero-Moser Systems and the duality with the spin Ruijsenaars systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0202245","snapshot_observed_at":"2026-08-14T14:58:42.244930Z","title":"Reshetikhin, Degenerate integrability of spin Calogero–Moser systems a nd the duality with the spin Ruijsenaars systems , Lett","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.244930Z"},"links":{"cited_paper":"/paper/math/0202245","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:978bc2047e3486f93db2e0df7f9967c6def36bb6b54897911eeeb3ac79d4863e","observation_id":"756496ed-8ca8-45f6-bd3b-b12e51258e23","resolution":{"observed_at":"2026-08-14T14:58:42.244930Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.00730","last_updated":"2015-09-02T15:06:18Z","snapshot_observed_at":"2026-08-14T22:34:06.057040Z","submitted_at":"2015-09-02T15:06:18Z","title":"Degenerately Integrable Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.00730","snapshot_observed_at":"2026-08-14T14:58:42.249095Z","title":"Reshetikhin, Degenerately integrable systems , J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.249095Z"},"links":{"cited_paper":"/paper/1509.00730","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:a400affd960800405e2ad8d726af8c2403109a9f412c5ad6e319b994a740f3e0","observation_id":"43ee30f8-5875-4331-9d64-5d4efcc4590b","resolution":{"observed_at":"2026-08-14T14:58:42.249095Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.03685","last_updated":"2020-03-20T13:31:36Z","snapshot_observed_at":"2026-08-14T17:05:04.225485Z","submitted_at":"2019-03-08T22:23:44Z","title":"Spin Calogero-Moser models on symmetric spaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.03685","snapshot_observed_at":"2026-08-14T14:58:42.253418Z","title":"Reshetikhin, Spin Calogero–Moser models on symmetric spaces , arXiv:1903.03685,","venue":null,"work_id":null,"year":1903},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.253418Z"},"links":{"cited_paper":"/paper/1903.03685","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:9907734570326f1e18d2e7f47f53667bb2a4dc532871dbf60163ac4e3d0a46ba","observation_id":"6180ea2c-bd02-41ab-b7ad-ccd3e4aea684","resolution":{"observed_at":"2026-08-14T14:58:42.253418Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.409631Z","title":"Roubtsov and T","venue":null,"work_id":"24e047cc-9569-4669-b64b-d9cf71c75a51","year":2008},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.258282Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:22658289557980113d4772be754d51bd1b2b52905f7cfa304cdfebaf95a6e1d3","observation_id":"a75262b7-83f9-4d2a-89c3-83bd38ec16a4","resolution":{"observed_at":"2026-08-14T14:58:45.472484Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.384610Z","title":"Rudolph and M","venue":null,"work_id":"2dcc4802-5bb8-475a-892b-c6211cd730e0","year":2013},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.261735Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:6d6accf4f6202b190ec5ad55e1f63ca2f327d550aa2fb60246f0a4dee4ceea46","observation_id":"3b8a8e2e-8986-426d-a619-d47835ebc55c","resolution":{"observed_at":"2026-08-14T14:58:45.390625Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.368472Z","title":"Ruijsenaars, Systems of Calogero–Moser type , pp","venue":null,"work_id":"6b36fef9-8c0f-4c59-a291-f5ac14a385d1","year":1994},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.265561Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:04a4be7d60ffbaa18b484be4b798286de55839447066a9d37a81b39300582f9a","observation_id":"884d3c77-a55e-4a6d-9741-23ad66d1756f","resolution":{"observed_at":"2026-08-14T14:58:45.372904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.353462Z","title":"Ruijsenaars and H","venue":null,"work_id":"49bbf956-8b91-4b21-91f8-2cef0156e0a3","year":1986},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.269550Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:ecbddf2ec476eda85a1fb2dbd7f9995181963828e0373bc24b8979f9b67fc47a","observation_id":"d013c871-e09f-4e5e-919b-b5165c76650c","resolution":{"observed_at":"2026-08-14T14:58:45.357851Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1711.02022","last_updated":"2017-11-06T17:18:18Z","snapshot_observed_at":"2026-08-14T20:16:31.514182Z","submitted_at":"2017-11-06T17:18:18Z","title":"From Spinning Conformal Blocks to Matrix Calogero-Sutherland Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.02022","snapshot_observed_at":"2026-08-14T14:58:42.273121Z","title":"Schomerus and E","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.273121Z"},"links":{"cited_paper":"/paper/1711.02022","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:deffedbf0a9c9e49019310219c570346d45aa7162fde10075b21afca79e50637","observation_id":"d6801bd0-8110-4a2f-98c7-f004a2884a5b","resolution":{"observed_at":"2026-08-14T14:58:42.273121Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.338530Z","title":"Schwartz, Smooth functions invariant under the action of a compact Lie group, Topology 14 (1975) 63-68","venue":null,"work_id":"c18d33ba-6cf5-4e41-8cc7-72e0f140c0f6","year":1975},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.277514Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:293c686edfed94788a12fbe4fff4ce400f1fdba1614f3ed08245829d8948e306","observation_id":"92334a67-7e38-46a2-b5ad-0e7e7eca0517","resolution":{"observed_at":"2026-08-14T14:58:45.343870Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.322087Z","title":"Semenov-Tian-Shansky, Dressing transformations and Poisson group actions , Publ","venue":null,"work_id":"f459ca23-ebc4-4bf2-9b3a-7a72a5abacc0","year":1985},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.281378Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:16e517f3a69fc2012596fd4acf555a98ca86d236d8069ed7136cbfa75bdf1b20","observation_id":"b23b4d56-9ea1-4d83-b90a-bd45ce88c728","resolution":{"observed_at":"2026-08-14T14:58:45.327546Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"nlin/0310012","last_updated":"2004-04-19T19:54:07Z","snapshot_observed_at":"2026-07-07T06:20:37.754710Z","submitted_at":"2003-10-13T15:43:56Z","title":"A simple way of making a Hamiltonian system into a bi-Hamiltonian one","version":2},"cited_work":{"arxiv_id":"nlin/0310012","doi":null,"metadata_source":"pith","pith_arxiv_id":"nlin/0310012","snapshot_observed_at":"2026-08-14T14:58:42.536897Z","title":"A simple way of making a Hamiltonian system into a bi-Hamiltonian one","venue":"nlin.SI","work_id":"66bb02e0-98fb-4b6d-bbd8-b637c643a189","year":2003},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.285929Z"},"links":{"cited_paper":"/paper/nlin/0310012","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:d644b320fcaa46f620161435ee4c7c20fcd82dfe60358963543c47abc1714302","observation_id":"3a60097a-b30f-43bb-aab2-6f493101a70f","resolution":{"observed_at":"2026-08-14T14:58:42.541541Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.307805Z","title":"Sjamaar and E","venue":null,"work_id":"25439f3a-cdc7-4471-a962-303effa0f803","year":1991},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.290479Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:d82e7cfc1ee0599688f45d411d0584fd6c98c0adb4ced658e91e0cdc22e9e0f7","observation_id":"c35f32fb-ab94-4d27-a49e-fe0f28703b05","resolution":{"observed_at":"2026-08-14T14:58:45.312190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.138778Z","title":"Smirnov, Bi-Hamiltonian formalism: A constructive approach , Lett","venue":null,"work_id":"68afed5b-e86e-4844-bfb7-6f82846f8cea","year":1997},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.295222Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:40abc62ba62d0faf8131524af9d0e498a5ec883da75189bf1173090892df1d14","observation_id":"6d833f14-62be-41d7-8cb9-6dfd06efc81d","resolution":{"observed_at":"2026-08-14T14:58:45.241811Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9602160","last_updated":"1996-05-20T08:49:07Z","snapshot_observed_at":"2026-07-07T05:10:13.635019Z","submitted_at":"1996-02-28T11:25:17Z","title":"Why are the rational and hyperbolic Ruijsenaars-Schneider hierarchies governed by the same R-operators as the Calogero-Moser ones?","version":2},"cited_work":{"arxiv_id":"hep-th/9602160","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9602160","snapshot_observed_at":"2026-08-14T14:58:42.516409Z","title":"Why are the rational and hyperbolic Ruijsenaars-Schneider hierarchies governed by the same R-operators as the Calogero-Moser ones?","venue":"hep-th","work_id":"a31a65df-9809-4ee2-90a6-0efee5fbea71","year":1996},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.299611Z"},"links":{"cited_paper":"/paper/hep-th/9602160","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:7c207819f014d6b66faa381e21dacfefc41b683f5741355ada1fe747e366e7c7","observation_id":"8b698295-b797-43eb-9310-ad0d9f546b48","resolution":{"observed_at":"2026-08-14T14:58:42.522842Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.098286Z","title":"Sutherland, Exact results for a quantum many-body problem in one dimensi on, Phys","venue":null,"work_id":"006ef645-ad39-48d7-a792-320add8426af","year":1971},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.307358Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:cec6f81af4e04f25628cb0aabf0b75dea6e295ae4eb5ff9346033fef77fb7bfa","observation_id":"658f5a55-902c-4927-aa1c-8e4f0fa5497d","resolution":{"observed_at":"2026-08-14T14:58:45.103488Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.084741Z","title":"van Diejen and L","venue":null,"work_id":"f6b3a8c4-6895-4069-8e98-a4f22b2ffcd2","year":2000},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.356059Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:d81e7e2b2a53c9c765728a67a05b82836a2ab6b2cd6fe7c9221510ec0ad0b16f","observation_id":"2db55b1b-0a14-410f-a5e7-349837bf6977","resolution":{"observed_at":"2026-08-14T14:58:45.089384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:58:45.071155Z","title":"Wojciechowski, An integrable marriage of the Euler equation with the Caloge ro–Moser system, Phys","venue":null,"work_id":"69c224d0-e7a4-4195-b89f-b094af85c915","year":1985},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.382085Z"},"links":{"citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:4c975c7b167f0e31eb672258c154c453900ea6aa7c13f47154e41ab3d9f8046f","observation_id":"9794607a-f413-4b1d-a7e6-9b9360bb61ad","resolution":{"observed_at":"2026-08-14T14:58:45.076260Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"dg-ga/9612008","last_updated":"1996-12-04T12:37:15Z","snapshot_observed_at":"2026-07-07T03:11:13.821883Z","submitted_at":"1996-12-04T12:37:15Z","title":"Free motion on the Poisson SU(n) group","version":1},"cited_work":{"arxiv_id":"dg-ga/9612008","doi":null,"metadata_source":"pith","pith_arxiv_id":"dg-ga/9612008","snapshot_observed_at":"2026-08-14T14:58:42.464559Z","title":"Free motion on the Poisson SU(n) group","venue":"dg-ga","work_id":"2c64a8f9-112b-47d0-93c1-94b9254a6824","year":1996},"citing_paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T14:58:42.397472Z"},"links":{"cited_paper":"/paper/dg-ga/9612008","citing_paper":"/paper/1908.02467"},"observation_digest":"sha256:a2eb420fd46919c80658f508d3fb71001e355a520edc37cf63ba3a0a194eebb7","observation_id":"7f507fcf-67cf-4c3b-92e0-2e9d58bbf998","resolution":{"observed_at":"2026-08-14T14:58:42.498909Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.02467","last_updated":"2019-12-10T13:04:39Z","latest_version":2,"primary_category":"math-ph","snapshot_observed_at":"2026-08-14T14:40:45.955829Z","submitted_at":"2019-08-07T07:24:47Z","title":"Reduction of a bi-Hamiltonian hierarchy on $T^*\\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models"},"reference_resolution":{"displayed":49,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":16,"verified_fuzzy":21},"total_outbound_references":49},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:1908.02467."}