{"as_of":"2026-08-23T18:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:19fe7cc644cf1f67ff81b8cdcd22cc367b4ed47414d4ca926fadd9ec086534eb","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:04:20.967952Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+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/2608.03314/citation-record","integrity":"/paper/2608.03314/integrity","json":"/paper/2608.03314/citation-record.json","paper":"/paper/2608.03314"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:04:21.269372Z","title":"Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism","venue":null,"work_id":"7535e7fd-793a-4d76-b647-92afe0f2ae60","year":2002},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.885045Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:54f03cb09b63bbf5d6c9d2181e7d80a0f8f8a86dee4514ec9b8866999125597f","observation_id":"e4a8dcde-ac54-4a7f-a9c9-ec0c967d2ecb","resolution":{"observed_at":"2026-08-15T15:04:21.274190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.254824Z","title":"Chevalley restriction theorem for the cyclic quiver","venue":null,"work_id":"c0d79da1-86eb-491e-b74a-fdf3d042eccf","year":2006},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.890531Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:dd28b8bdb6efa6f925051c259cde0f5c469af7847e58e86501246548758c54fa","observation_id":"008b730b-af98-44d6-912b-cd593719f007","resolution":{"observed_at":"2026-08-15T15:04:21.259605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0905.0686","last_updated":"2009-05-05T20:09:13Z","snapshot_observed_at":"2026-08-15T05:49:06.992432Z","submitted_at":"2009-05-05T19:58:59Z","title":"Lectures on Nakajima's Quiver Varieties","version":2},"cited_work":{"arxiv_id":"0905.0686","doi":null,"metadata_source":"pith","pith_arxiv_id":"0905.0686","snapshot_observed_at":"2026-08-15T15:04:21.007449Z","title":"Lectures on Nakajima's Quiver Varieties","venue":"math.RT","work_id":"bc350833-15c6-4348-8cce-5fb82675c7af","year":2009},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.895532Z"},"links":{"cited_paper":"/paper/0905.0686","citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:45f91295ac953ba3d8a665e3f19d561ab9152bfc968c015281d0dd0c83d8ba19","observation_id":"26164771-7047-46af-9cec-9a606493cfcb","resolution":{"observed_at":"2026-08-15T15:04:21.014936Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.239940Z","title":"Characters of the nullcone","venue":null,"work_id":"d1b6220e-6758-4167-9264-c68682037d51","year":1980},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.900600Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:14a3a0cdfceb51bf8440b92f96ba291d6567b3993d9963a48d9db7f1a8a02f94","observation_id":"69bb87ea-b36d-4cc7-92c9-9b50c3a03a93","resolution":{"observed_at":"2026-08-15T15:04:21.244543Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.225509Z","title":"Cambridge Studies in Advanced Mathematics","venue":null,"work_id":"a29e072a-23cc-4024-a1bf-023269f637d0","year":1992},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.905705Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:785fcb03278ae8eecdbbe5a3db788324c57db16aa8ec2be0186d29cb9c491134","observation_id":"a1fb881f-a17a-41c7-8930-e4dea0de8a59","resolution":{"observed_at":"2026-08-15T15:04:21.230108Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.209945Z","title":"Orbits and representations associated with symmetric spaces","venue":null,"work_id":"f617b195-ae88-4d9d-bfa6-14ccb5b8e83c","year":1971},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.910672Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:d0fed02f6aadc2726afea465fa50b8ee85d7ea47ddee4af98e61be4edfaac38d","observation_id":"66a13121-b207-447d-ae96-107c25d920b8","resolution":{"observed_at":"2026-08-15T15:04:21.215160Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.195236Z","title":"Koregul¨ are und ¨ aquidimensionale Darstellungen","venue":null,"work_id":"e39f919b-70aa-44e8-823d-f7f0e14f723f","year":1989},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.916053Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:218a9e55b37092e1c92fcce6d4378bb5a1e6eccddee7995521381e3025e65204","observation_id":"4e55de1c-3811-4fa9-a5f7-e9f6a6144a8e","resolution":{"observed_at":"2026-08-15T15:04:21.199625Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.180842Z","title":"Generalised Springer correspondence forZ/m-graded Lie algebras","venue":null,"work_id":"599b68fe-dd61-4bef-bd02-abf0a411f945","year":2023},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.920726Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:95c0e634affbfac5a3e388ffefa2ca5de440557084f0e3fd4dc171af609ee2b5","observation_id":"896840fc-b09e-4a09-afdc-4251b29cdb65","resolution":{"observed_at":"2026-08-15T15:04:21.185513Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.165968Z","title":"Singularities, character formulas, and aq-analog of weight multiplicities","venue":null,"work_id":"0a4e0d58-7359-410e-b43f-646ba2ce166e","year":1983},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.925462Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:d5c5b58502e9cfaa494deb0ce8494585a8bd160675250abe07091cd516509b7b","observation_id":"86546a73-79c7-4a13-ad61-e0567044e241","resolution":{"observed_at":"2026-08-15T15:04:21.170680Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.151541Z","title":"Study of perverse sheaves arising from graded Lie algebras","venue":null,"work_id":"2bc3f3bd-b7d0-409c-9598-d4ff791ddfa3","year":1995},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.930022Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:1ba848831ef8c76e609220f4ac34dfc951a948dac457c0cb173b4ff8f9f281d9","observation_id":"275edb9f-1cc9-4484-95a1-43d0caec161f","resolution":{"observed_at":"2026-08-15T15:04:21.156277Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.136518Z","title":"Z/m-graded Lie algebras and perverse sheaves, I","venue":null,"work_id":"e4a84978-4690-4719-9a6d-9f75c8947ed5","year":2017},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.934498Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:045ac3fbfa84b69b0e6eaea5f8f7b370f16dabec15226757aa2e5ca8ea4d1a55","observation_id":"bfac524e-d08e-43d0-a0fb-57a6b1996003","resolution":{"observed_at":"2026-08-15T15:04:21.141531Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.121052Z","title":"The Poincar´ e series of a Coxeter group","venue":null,"work_id":"b17adb3d-db3c-4a5d-8f55-40a833865191","year":1972},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.939126Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:bc7d0b69c0baa0d521b596761508a8ecc854d241b3a77e504d178eb8a13b8d98","observation_id":"34074c88-d14c-4331-9901-c3e82b7fde5c","resolution":{"observed_at":"2026-08-15T15:04:21.126181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.105650Z","title":"Regular functions on theK-nilpotent cone","venue":null,"work_id":"4a9a1582-5958-4746-97f0-f211651ad407","year":2022},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.943972Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:9c0ca7ca1563bd7b12f6af420de4657322d2952fd2ea4faf30743e7e0e8431ac","observation_id":"70ab06f6-772d-4fe1-8e84-a03acc367698","resolution":{"observed_at":"2026-08-15T15:04:21.110611Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.088724Z","title":"Rings of regular functions on nilpotent orbits and their covers","venue":null,"work_id":"25e2b1dc-19d3-43b1-8987-1f7a1def26e6","year":1989},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.948844Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:e60a13a3b196be00695ed30590b1f42a8a58b36ac4a29c64c3cfca21701814ce","observation_id":"d9b51cea-baca-48b8-a8c8-ccf43b22937a","resolution":{"observed_at":"2026-08-15T15:04:21.094179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.073837Z","title":"Representations of Gan-Ginzburg algebras","venue":null,"work_id":"6ef6e27a-ac3f-4fa7-94e6-8f6afe48e393","year":2010},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.953417Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:45890cc3e686a8f707f773371796cee1f0904cb8ee97b736a4e08f84f2097cb0","observation_id":"7d35ab39-9fc7-49f7-9351-2d11682f6426","resolution":{"observed_at":"2026-08-15T15:04:21.078609Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.058661Z","title":"Invariant theory","venue":null,"work_id":"db88dc1c-094c-42ef-a075-b769100a84f0","year":1994},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.957903Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:c4967b2b1d203d71810a94ab7c36646b111d17f5d5000d02e65bd3b316ccc693","observation_id":"c27a6825-6d78-4130-8bcd-fb91eb3768b0","resolution":{"observed_at":"2026-08-15T15:04:21.063361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.042505Z","title":"1977.isbn: 978-3-540-08242-2","venue":null,"work_id":"1597d598-b826-445a-9621-6d36e28def97","year":1977},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.962367Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:b0b06cefb218ed1e656ef2f67a3b89e1124c162450f443c0e70a28e8fe683e50","observation_id":"32df183a-1735-47a2-b2c2-070b90d02614","resolution":{"observed_at":"2026-08-15T15:04:21.047325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T15:04:21.026381Z","title":"The Weyl group of a graded Lie algebra","venue":null,"work_id":"6df924c3-d23b-4d23-a815-7e7e7abd6894","year":1976},"citing_paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T15:04:20.967952Z"},"links":{"citing_paper":"/paper/2608.03314"},"observation_digest":"sha256:b2a2e0f51054359d9209a9a54fd622e2c5b92a5bea4b75d3e0b0f63455b110ce","observation_id":"38a335de-90ac-4990-a539-408941ca9523","resolution":{"observed_at":"2026-08-15T15:04:21.031606Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.03314","last_updated":"2026-08-04T08:21:36Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-17T13:44:24.308874Z","submitted_at":"2026-08-04T08:21:36Z","title":"A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":1,"verified_fuzzy":17},"total_outbound_references":18},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2608.03314."}