{"as_of":"2026-08-16T19:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8b49a3111e7e2b5faea220ca46986c6a631381147abe2a34ba8e4d1a23a521ba","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:35:55.707617Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.00806/citation-record","integrity":"/paper/1908.00806/integrity","json":"/paper/1908.00806/citation-record.json","paper":"/paper/1908.00806"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:35:56.097544Z","title":"Fusion products of K irillov- R eshetikhin modules and fermionic multiplicity formulas","venue":null,"work_id":"cdcaf08c-cf02-40f6-810f-4a758fa2d482","year":2007},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.584283Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:6ab2a44eaa0b15c5d7a595e44e93fb7c077d7d783a683fa78e2c5f829916deb2","observation_id":"491d8b3b-1dac-4142-9da0-ed626ebd0a52","resolution":{"observed_at":"2026-08-14T15:35:56.102355Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:35:56.082347Z","title":"Zur T heorie der M etalle","venue":null,"work_id":"d9d68d0a-2b03-4bde-9970-62d485e84970","year":1931},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.589349Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:7900725b35d8686b2f3874d160320b7e13ef07abe198a77854ed18c66fd62a3e","observation_id":"e31ec01a-b0ee-440a-ac68-32b8b2d98cec","resolution":{"observed_at":"2026-08-14T15:35:56.087191Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1604.03625","last_updated":"2018-05-30T07:05:53Z","snapshot_observed_at":"2026-08-15T12:19:13.165717Z","submitted_at":"2016-04-13T00:46:53Z","title":"Coulomb branches of $3d$ $\\mathcal N=4$ quiver gauge theories and slices in the affine Grassmannian (with appendices by Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, and Alex Weekes)","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1604.03625","snapshot_observed_at":"2026-08-14T15:35:55.594198Z","title":"Coulomb branches of 3d n=4 quiver gauge theories and slices in the affine grassmannian, 2016","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.594198Z"},"links":{"cited_paper":"/paper/1604.03625","citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:8d1d8c9d2e8449d76ca4207da08517f97098f7b495689b2eda7a40e656ca0c94","observation_id":"e993f672-5388-4b7a-9e95-cdf0b82fc0cc","resolution":{"observed_at":"2026-08-14T15:35:55.594198Z","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":"2026-08-14T15:35:56.067977Z","title":"Quantum cluster algebras","venue":null,"work_id":"4f12fc61-64dd-4077-aae3-65ce4a313d84","year":2005},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.599307Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:3f1977150bc63e9fda26cc2a79d9d4111324adc0dbe420eb5a4ae126d2a6b195","observation_id":"98476b4f-b779-47ca-aac0-ce604fb53f8b","resolution":{"observed_at":"2026-08-14T15:35:56.072549Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:35:55.604442Z","title":"Double affine H ecke algebras , volume 319 of London Mathematical Society Lecture Note Series","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.604442Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:1403795fdfba478653a00314b25700e9a51a7c38bc709a2d252253e5560c80be","observation_id":"0c221b29-929e-46ab-8820-dddbaf828d68","resolution":{"observed_at":"2026-08-14T15:35:55.604442Z","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":"2026-08-14T15:35:56.043418Z","title":"Proof of the combinatorial K irillov- R eshetikhin conjecture","venue":null,"work_id":"577c156c-953f-4d6b-a763-0a6b56bf128f","year":2008},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.609355Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:488a83f2ac4f1a167f8be3bc7b4f663be356efedf88c97bbd48f7e12c495f9e0","observation_id":"1b5a305b-94fc-4680-9b79-4d35d2ac9d17","resolution":{"observed_at":"2026-08-14T15:35:56.048441Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:35:55.614473Z","title":"Q -systems as cluster algebras","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.614473Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:7046e425c68ed19cbf8fd95e459a799650c52e64925c2563f34b47c5297fda13","observation_id":"6db69562-50cd-4125-83a5-3f3d4e41eb1f","resolution":{"observed_at":"2026-08-14T15:35:55.614473Z","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":"2026-08-14T15:35:56.018003Z","title":"Quantum cluster algebras and fusion products","venue":null,"work_id":"f4b45717-b9b7-4118-988b-9c34b09532f4","year":2014},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.619107Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:02989c0cc93ab50ce61a763be95a2043c539d71033210ab98a56e48090d2f506","observation_id":"b3920b95-96c6-4f82-a118-e2ca52bb4b0a","resolution":{"observed_at":"2026-08-14T15:35:56.022967Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:35:56.002760Z","title":"Quantum Q systems: from cluster algebras to quantum current algebras","venue":null,"work_id":"3f9abb06-dcfb-4856-b832-5b32ee8ff2f7","year":2017},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.623578Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:a3ac91c345be9125b7ea31c06b17a5936f3e57798f4f29624c45686fe1a4e151","observation_id":"bbaf80cb-b436-4e8f-afc2-803d1240aaf2","resolution":{"observed_at":"2026-08-14T15:35:56.007665Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:35:55.988161Z","title":"Di Francesco and R","venue":null,"work_id":"d7d630d4-5134-42e4-9c6c-2edf6ac8f119","year":2018},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.627937Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:33d44c336968b39b1f9d16ecccb54d7211ae8fa8db22da6a65267ffaafea5720","observation_id":"5ec02f03-7969-473e-b5fd-c2ce802a2811","resolution":{"observed_at":"2026-08-14T15:35:55.992707Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:35:55.972882Z","title":"( q,t )- D eformed Q - S ystems, DAHA and Q uantum T oroidal A lgebras via G eneralized M acdonald O perators","venue":null,"work_id":"698e224a-6aea-4062-8371-f12757dd1165","year":2019},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.632092Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:3e55cecceef90e94f1845ece8a16549b502ba143373f07c88e60e6ac89c501c6","observation_id":"b5ebafc4-af3a-43b9-945c-0fb7b7c28e87","resolution":{"observed_at":"2026-08-14T15:35:55.977845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:35:55.957876Z","title":"On generalized K ostka polynomials and the quantum V erlinde rule","venue":null,"work_id":"fb53b5e7-4ae2-4ff8-8fc0-6d85ca8a65e9","year":1999},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.636707Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:21278fd52e0d11a55fbbde30ad4a22359a2a19e5e1c84e7c2bb826d26086c9c2","observation_id":"9e084b1f-6ad5-452a-9e55-91f66e4b7fb0","resolution":{"observed_at":"2026-08-14T15:35:55.962836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:35:55.641825Z","title":"Cluster algebras","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.641825Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:79bac4367669b7ec08470c3ca6d81bd7f216af35963a23e96d81d2cfbffdbd12","observation_id":"cd427cf4-80f8-4c58-986d-9b40f722915d","resolution":{"observed_at":"2026-08-14T15:35:55.641825Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:35:55.646395Z","title":"Cluster algebras and P oisson geometry , volume 167 of Mathematical Surveys and Monographs","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.646395Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:a7ad378bd8a3cf72e4cd2d6e40362393acb758c5e1017cbd6d1226e9c006ec37","observation_id":"63eb95d5-d705-4594-a3a1-33fba0de7330","resolution":{"observed_at":"2026-08-14T15:35:55.646395Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:35:55.650984Z","title":"Hatayama, A","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.650984Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:1740d3bd7059d82b6e51dea24f4c3d503950da6773f151d886228da91dafeb15","observation_id":"8656e69c-d33b-4d7c-a358-0f2a9fe38c44","resolution":{"observed_at":"2026-08-14T15:35:55.650984Z","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":"2026-08-14T15:35:55.915395Z","title":"Q -systems as cluster algebras","venue":null,"work_id":"a314b68b-d880-4d20-8eaa-9034a3a99170","year":2008},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.655831Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:050131fc769c99471769645f3ad6b38302d202aca84fcc6b26ccfa79dfeebba8","observation_id":"7c9afc2c-e635-466a-a915-d6f4fad20399","resolution":{"observed_at":"2026-08-14T15:35:55.920192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:35:55.901099Z","title":null,"venue":null,"work_id":"c53fc2e9-e921-4599-b307-b48d5eb0547a","year":1996},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.660439Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:ffb5778a79672e5cf6d276fe2dcd5bc95a6c7d5e8041427b05654faa1eb29868","observation_id":"20af84e7-f1b4-4a11-9c2a-0d078e57f564","resolution":{"observed_at":"2026-08-14T15:35:55.905729Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:35:55.665268Z","title":"Functional relations in solvable lattice models","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.665268Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:73872eba6b01d4120f9663163ec05dd31e1fea8fa2dfc31987ee65ea24fa70e4","observation_id":"27031fe7-6990-4617-a002-c39c758c7a61","resolution":{"observed_at":"2026-08-14T15:35:55.665268Z","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":"2026-08-14T15:35:55.876068Z","title":null,"venue":null,"work_id":"72463a5d-61d8-4d93-97b3-c00ad4303568","year":1987},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.669881Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:5a0aae933c88e0402086f80fb5211dace4bb8525e2f68f3b20c007c72e22afca","observation_id":"039fb6a6-98b6-43db-8f96-51b73c826dd1","resolution":{"observed_at":"2026-08-14T15:35:55.880683Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1903.11492","last_updated":"2020-12-23T05:39:30Z","snapshot_observed_at":"2026-08-14T16:55:55.586240Z","submitted_at":"2019-03-27T15:34:30Z","title":"Quantum Q-systems and fermionic sums -- the non-simply laced case","version":3},"cited_work":{"arxiv_id":"1903.11492","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.11492","snapshot_observed_at":"2026-08-14T15:35:55.743577Z","title":"Quantum Q-systems and fermionic sums -- the non-simply laced case","venue":"math.QA","work_id":"76704292-b742-4f0f-9ae6-ddd967d73691","year":2019},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.674402Z"},"links":{"cited_paper":"/paper/1903.11492","citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:985a8f694e304a37d67dae208404339a131b39fd89f6e8424ffcea6f4487419b","observation_id":"6bcd962c-90c0-4da4-9538-94210da9c9cd","resolution":{"observed_at":"2026-08-14T15:35:55.750945Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:35:55.861136Z","title":"A uniform model for K irillov- R eshetikhin crystals II","venue":null,"work_id":"b0d9a6e7-ef60-4bc6-94ed-57408937a1f3","year":2017},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.679552Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:df1f8b42aff39b382befc2e426a0aa2dad4c55f52a77185fe09156851fa4133c","observation_id":"5859aa76-a1bf-4533-8ee7-2cd83e90d9a4","resolution":{"observed_at":"2026-08-14T15:35:55.866017Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:35:55.846032Z","title":null,"venue":null,"work_id":"14bad44d-abc7-4340-9c1f-44b80d10cba7","year":2000},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.684060Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:f721a605d08a0ce6f597ea0e592dabab7ae3613d2bd969bb983c95d94019d957","observation_id":"02a40a17-6729-4153-a2ae-b8cf93690770","resolution":{"observed_at":"2026-08-14T15:35:55.850999Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:35:55.688570Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.688570Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:c9656355df31dcfc597e0562a26e695ddca5a00309c206566ba0df2e43afe328","observation_id":"e12514a7-8ec5-4913-a609-e7b21f37a2fa","resolution":{"observed_at":"2026-08-14T15:35:55.688570Z","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":"2026-08-14T15:35:55.822055Z","title":"Factorization of S chur functions of various types","venue":null,"work_id":"99d7f427-3907-4a9e-ac5d-284dfa700700","year":2003},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.692919Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:c8c7ecb5d466eb96c85205d821bfffe440b1f8cbf21efb8b157749b351bd1dd8","observation_id":"cc94176e-2ba8-45d9-87fe-0ddb236323da","resolution":{"observed_at":"2026-08-14T15:35:55.826738Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:35:55.806920Z","title":"Drinfeld realization of the elliptic H all algebra","venue":null,"work_id":"7ad3f7e2-92d3-433a-9af1-9d44dc4e415e","year":2012},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.698323Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:95be7496a5268326ddd5f661933cf7211c418de02c0c2613978a982a63e5ddc0","observation_id":"0f093ccb-2c39-4b1a-8c72-17622310f408","resolution":{"observed_at":"2026-08-14T15:35:55.811624Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:35:55.792650Z","title":null,"venue":null,"work_id":"930e0088-714d-44dd-b017-e7e61d678b31","year":1995},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.703125Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:978acd3b864e9c51add29aa521a0e74f9600ffb5609eaee3d96d259613f315bb","observation_id":"233aff21-1552-4b65-b85b-cf3b4460f073","resolution":{"observed_at":"2026-08-14T15:35:55.797249Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:35:55.778061Z","title":null,"venue":null,"work_id":"ae459876-3b42-42e6-9c11-f05d8a4755ad","year":2011},"citing_paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-14T15:35:55.707617Z"},"links":{"citing_paper":"/paper/1908.00806"},"observation_digest":"sha256:4e3a351d69864e88d4548ceaadd1006d927b67296c3ac63c2ee3c1dccbf01f64","observation_id":"237722fb-b5d9-4a0b-94fb-166dda540c88","resolution":{"observed_at":"2026-08-14T15:35:55.782856Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.00806","last_updated":"2019-08-02T11:11:59Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-16T10:45:17.756816Z","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":1,"verified_fuzzy":13},"total_outbound_references":27},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.00806."}