{"as_of":"2026-08-13T06:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:875f54191a85cfaeefa93be4e1828b38e7e5cc30d4b07faab5aab530421dc60d","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T15:38:28.090203Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2411.14170/citation-record","integrity":"/paper/2411.14170/integrity","json":"/paper/2411.14170/citation-record.json","paper":"/paper/2411.14170"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T15:38:28.895317Z","title":"write newline","venue":null,"work_id":"ea0b8b93-09df-4189-a407-6c7f48139563","year":null},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.504421Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:03d28823f17f78b0e67d4241bd124a708f27c3c8edf62c07c9c0f693b7195de6","observation_id":"21bef52d-5bb6-4a0c-a31f-49b28508fa4e","resolution":{"observed_at":"2026-08-12T15:38:28.899111Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.885701Z","title":null,"venue":null,"work_id":"039f4fcc-00f5-41fa-aa06-196d27adb64e","year":1998},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.509666Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:d4304e6876e9f5b75b9a6be5fff8802fef8fd17d4561ee7a881ed950509114de","observation_id":"afd6123c-34ca-438e-9526-193cd7919143","resolution":{"observed_at":"2026-08-12T15:38:28.889319Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.875834Z","title":"Braverman, D","venue":null,"work_id":"0879347b-3d60-45c8-b917-b16d37af6ebb","year":2016},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.514444Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:e57c1402a7180e678cf7834de9d837a1b778f2ddeb35b52dd8b778e63cf2a813","observation_id":"3bb0331d-3b88-4485-9773-e122eb2513f6","resolution":{"observed_at":"2026-08-12T15:38:28.878964Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.817352Z","title":null,"venue":null,"work_id":"e6816d9e-7eac-48fc-b345-106e436a54f3","year":2016},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.553097Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:20c8a6c55d4e636c634a07ed09367320a8cd6518f668d48756405322bb385ee2","observation_id":"56f7619e-7e8b-41b3-bec0-1a19c92b78ef","resolution":{"observed_at":"2026-08-12T15:38:28.868381Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.731871Z","title":null,"venue":null,"work_id":"d5833585-b81a-4dc2-a049-a0dbf7d0641d","year":1973},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.628338Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:b454186488273952e92a609267c5be7699f96cb89d5bb288b3ddcb3f4435cc9f","observation_id":"7e8026c7-ae02-4347-aaf1-4d7d1497c9ca","resolution":{"observed_at":"2026-08-12T15:38:28.756030Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.708981Z","title":"11, 4030--4039","venue":null,"work_id":"97c9d411-f26d-4d98-9be7-df2d410631cf","year":2009},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.700109Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:c8147d5a0d2a86d3a6e869ce589d2b90f7ab9dd207a07a8d3c6428c30a5525bb","observation_id":"e0156a83-1ce9-45c2-ae16-d7eeb1625de2","resolution":{"observed_at":"2026-08-12T15:38:28.712529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.14461","last_updated":"2021-07-30T07:15:53Z","snapshot_observed_at":"2026-08-13T03:43:59.144302Z","submitted_at":"2021-07-30T07:15:53Z","title":"Affine Deligne-Lusztig varieties associated with generic Newton points","version":1},"cited_work":{"arxiv_id":"2107.14461","doi":null,"metadata_source":"pith","pith_arxiv_id":"2107.14461","snapshot_observed_at":"2026-08-12T15:38:28.266368Z","title":"Affine Deligne-Lusztig varieties associated with generic Newton points","venue":"math.AG","work_id":"c8a7b796-7b43-4983-a5ff-72780609e40f","year":2021},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.741287Z"},"links":{"cited_paper":"/paper/2107.14461","citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:b7957b84c587450097da2a1716f72e3fcfb82ea8b667efac1ba0f4ada0c23fdc","observation_id":"2537a780-7ace-40c8-a02f-572c6c6acec1","resolution":{"observed_at":"2026-08-12T15:38:28.271229Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.06376","last_updated":"2021-12-13T02:13:04Z","snapshot_observed_at":"2026-08-12T17:18:16.575218Z","submitted_at":"2021-12-13T02:13:04Z","title":"Demazure product of the affine Weyl groups","version":1},"cited_work":{"arxiv_id":"2112.06376","doi":null,"metadata_source":"pith","pith_arxiv_id":"2112.06376","snapshot_observed_at":"2026-08-12T15:38:28.251469Z","title":"Demazure product of the affine Weyl groups","venue":"math.RT","work_id":"5a9e0694-8bbd-40d4-ae99-e6395d75e360","year":2021},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.776458Z"},"links":{"cited_paper":"/paper/2112.06376","citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:d4acc3fe17aba6aeac03c3d1039737a091316e084569c4a045b93cdf93ac3002","observation_id":"8320e3d8-84cf-4e46-8290-eed2c2ad7502","resolution":{"observed_at":"2026-08-12T15:38:28.255534Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.12559","last_updated":"2024-05-21T07:57:51Z","snapshot_observed_at":"2026-08-13T00:03:14.666620Z","submitted_at":"2024-05-21T07:57:51Z","title":"Quantum roots for Kac-Moody root systems and finiteness properties of the Kac-Moody affine Bruhat order","version":1},"cited_work":{"arxiv_id":"2405.12559","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.12559","snapshot_observed_at":"2026-08-12T15:38:28.221064Z","title":"Quantum roots for Kac-Moody root systems and finiteness properties of the Kac-Moody affine Bruhat order","venue":"math.RT","work_id":"6cf23568-2b1a-4055-952c-aab4bebdfba4","year":2024},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.779922Z"},"links":{"cited_paper":"/paper/2405.12559","citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:eab2dc2b16cc029732bd708b1a86b6bda69574d414ecf6eab5c67758b34924c2","observation_id":"be38fbcf-0263-49bc-845b-fa0d29328639","resolution":{"observed_at":"2026-08-12T15:38:28.232147Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.698815Z","title":"Humphreys, Reflection Groups and Coxeter Groups , Cambridge Studies in Advanced Mathematics, Cambridge University Press, 1990","venue":null,"work_id":"40f20ee2-9f3e-4fe4-b68d-f9e28e559ce4","year":1990},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.783299Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:bd84924667ea4527cabf4edaf488504763ee5a309debd39f2c50bf42f0b2a468","observation_id":"e2461a9b-6f67-45ef-b58e-4b1bc24ea02e","resolution":{"observed_at":"2026-08-12T15:38:28.702451Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.688291Z","title":"Kac, Infinite-Dimensional Lie Algebras , 3 ed., Cambridge University Press, 1990","venue":null,"work_id":"486014d7-7236-475b-ab17-a54e13ef4dd1","year":1990},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.786216Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:f0b71927f6804989d44f6743628f58644367eb409c192ba2c702285bd5351f58","observation_id":"a941c0de-1ab1-42d7-8a20-a750bcf37ad3","resolution":{"observed_at":"2026-08-12T15:38:28.692232Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.677845Z","title":null,"venue":null,"work_id":"17ae4e81-bac4-4fc2-bf32-9017ce74d5e4","year":2015},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.790373Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:c947caad44d5c6d056d7746125bb06e849ad222891baf231e0b9e9e85d0558aa","observation_id":"69a01b26-9e5a-4fcd-bb8f-f0a62db58290","resolution":{"observed_at":"2026-08-12T15:38:28.681101Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.667076Z","title":"Alcove Model, Path Model, and P=X , International Mathematics Research Notices 14 (2017), 4259--4319","venue":null,"work_id":"00a5533b-6654-4052-9945-a913b87c0674","year":2017},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.793868Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:4b8ffd8e29b81025cfffdb4cecbb52a581a143562bc4761797f31a6120651d4e","observation_id":"4cf1c040-2f83-4a19-921c-dd31db23b057","resolution":{"observed_at":"2026-08-12T15:38:28.671134Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.656353Z","title":"3, 451 -- 502","venue":null,"work_id":"95d3da5b-d2d9-4cd4-9219-b683abfe0a34","year":2021},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.797341Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:6104f5ed74b1e211c4634494fe87c9e3a1fad1161282f030877aefe544d23b32","observation_id":"bb25d538-6351-47ff-bc1e-5ffc37f0cc88","resolution":{"observed_at":"2026-08-12T15:38:28.659762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.645776Z","title":"2, 197--216 (en)","venue":null,"work_id":"6b88bd96-8ae4-41cc-a6ea-f8413f347647","year":2019},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.800783Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:9b7fc7d942ab03439c82782e4f0c2d6cd99f7023e7f67c6ccbbc10a91a7a8938","observation_id":"6b6f764b-106e-41e1-ad63-cf2ba944ce8e","resolution":{"observed_at":"2026-08-12T15:38:28.648809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.14447","last_updated":"2024-06-20T16:09:48Z","snapshot_observed_at":"2026-08-12T23:38:14.534424Z","submitted_at":"2024-06-20T16:09:48Z","title":"Pursuing Coxeter theory for Kac-Moody affine Hecke algebras","version":1},"cited_work":{"arxiv_id":"2406.14447","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.14447","snapshot_observed_at":"2026-08-12T15:38:28.196394Z","title":"Pursuing Coxeter theory for Kac-Moody affine Hecke algebras","venue":"math.RT","work_id":"adffe25c-bb58-4505-80d0-872d44380828","year":2024},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.804106Z"},"links":{"cited_paper":"/paper/2406.14447","citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:7e6c7d27379c3db72e8fda4d6ee6907433d6b818826c538410f195616e84bb33","observation_id":"b53743b1-cff5-4a00-b71a-1102983c96b9","resolution":{"observed_at":"2026-08-12T15:38:28.200243Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.632406Z","title":null,"venue":null,"work_id":"4e9f1ebe-8108-478e-8442-fea68770c3f3","year":2018},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.808697Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:fbb8c3bd8bc03caa4edf386708a6224ac936a57257e865e44a9b88ea48525b99","observation_id":"7c26a158-c5d1-417f-971e-46fb848e90b4","resolution":{"observed_at":"2026-08-12T15:38:28.639625Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.04514","last_updated":"2024-03-15T09:30:05Z","snapshot_observed_at":"2026-08-13T05:55:00.913358Z","submitted_at":"2023-06-07T15:26:56Z","title":"Grading of affine Weyl semi-groups of Kac-Moody type","version":3},"cited_work":{"arxiv_id":"2306.04514","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.04514","snapshot_observed_at":"2026-08-12T15:38:28.156761Z","title":"Grading of affine Weyl semi-groups of Kac-Moody type","venue":"math.RT","work_id":"cc6902ab-23a0-4c2e-a091-dc1eb0966538","year":2023},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.844744Z"},"links":{"cited_paper":"/paper/2306.04514","citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:7c855bc136dea3953b7b416dd4f13fefafa3cb0cab0288178451d40e107758eb","observation_id":"d5d5a373-8aa8-4dfa-b679-456fb15e7d7a","resolution":{"observed_at":"2026-08-12T15:38:28.184517Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.473158Z","title":"3, 699--709","venue":null,"work_id":"52506c7d-3794-4b88-8e42-940726a7ce35","year":2005},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.896264Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:4657b98dfca07bb8863da6f878b914c877689e7d602070c8e00e8cebc772194a","observation_id":"6c1f3fe6-f7e5-49f5-a0e3-aa73270a5e9f","resolution":{"observed_at":"2026-08-12T15:38:28.608821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.02039","last_updated":"2023-06-09T08:19:52Z","snapshot_observed_at":"2026-07-06T13:06:34.544826Z","submitted_at":"2022-05-04T12:57:15Z","title":"Generic Newton points and cordial elements","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.02039","snapshot_observed_at":"2026-08-12T15:38:27.954810Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.954810Z"},"links":{"cited_paper":"/paper/2205.02039","citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:8f960d354d4d6afb38200bafb83b0a2cc19162b03da297bfc3e2ab857f0d1d35","observation_id":"8c9b5d06-2860-4283-b49b-d3a10907bcaf","resolution":{"observed_at":"2026-08-12T15:38:27.954810Z","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":"2026-08-12T15:38:28.291451Z","title":"12, Cambridge University Press, 2024, p","venue":null,"work_id":"e2d1cb08-4116-42b9-9551-e37c60172241","year":2024},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:27.996384Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:f9ce6d9ec1c93bcf8080edb3bd2b84aee39b0a206306272ca9b636c90dba5f26","observation_id":"4e0639b6-9c0e-4b26-88bc-1155e737399f","resolution":{"observed_at":"2026-08-12T15:38:28.373284Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:28.279825Z","title":null,"venue":null,"work_id":"763ac467-0ac1-40e4-88d3-d3fe202c27af","year":2019},"citing_paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-12T15:38:28.090203Z"},"links":{"citing_paper":"/paper/2411.14170"},"observation_digest":"sha256:a4758293283a835a19e31c5f38fdc38dc96f36cd0e6bbcef3fa982d2dd85d150","observation_id":"46d28085-6c09-498a-94ab-72a9b36a61f5","resolution":{"observed_at":"2026-08-12T15:38:28.283798Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.14170","last_updated":"2024-11-21T14:27:26Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-12T15:24:57.557053Z","submitted_at":"2024-11-21T14:27:26Z","title":"The Quantum Bruhat Graph for $\\widehat{SL}_2$ and Double Affine Demazure Products"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":5,"verified_fuzzy":10},"total_outbound_references":22},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2411.14170."}