{"as_of":"2026-08-17T15:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:10e91f994dc5e1a956b86caedc2c0a701a8efee6086be97f3cd87c75f2800aa4","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T15:24:49.632251Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T08:44:51.320460Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"cited_work":{"arxiv_id":"2507.16215","doi":"10.48550/arxiv.2507.16215","metadata_source":"arxiv_reference","pith_arxiv_id":"2507.16215","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"CategoryOand asymptotic characters","venue":"ArXiv.org","work_id":"f5103d09-b345-4666-a3e9-e8a15a433e60","year":2025},"citing_paper":{"arxiv_id":"2604.18894","last_updated":"2026-04-20T22:33:24Z","snapshot_observed_at":"2026-07-06T23:05:39.724237Z","submitted_at":"2026-04-20T22:33:24Z","title":"Kazhdan-Lusztig Basis and Optimization","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-10T02:46:46.699493Z"},"links":{"cited_paper":"/paper/2507.16215","citing_paper":"/paper/2604.18894"},"observation_digest":"sha256:9405202e6f29712875801e59fbf31d088f0900927d154808dda052b32c50a5d1","observation_id":"46beaff7-18d8-490d-93bc-214a59e7dea2","resolution":{"observed_at":"2026-05-10T02:48:26.734897Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.16215","snapshot_observed_at":"2026-07-11T18:52:11.535430Z","title":"Standard monomial theory for Bott-Samelson varieties","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.04480","last_updated":"2026-07-21T15:46:47Z","snapshot_observed_at":"2026-08-09T08:01:21.338316Z","submitted_at":"2026-07-05T20:03:18Z","title":"Category $\\mathcal{O}$ for truncated shifted Yangians and the bi-infinite Bott-Samelson variety","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-11T18:52:11.535430Z"},"links":{"cited_paper":"/paper/2507.16215","citing_paper":"/paper/2607.04480"},"observation_digest":"sha256:f0430be745dd375711f35bcb976ee5f43b0a9e2f4efd031d9cf4dbb13b6597b7","observation_id":"515a48fa-ee36-4039-b009-5d93c5acea55","resolution":{"observed_at":"2026-07-11T18:52:11.535430Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.16215","snapshot_observed_at":"2026-08-02T08:44:51.320460Z","title":"Standard monomial theory for Bott-Samelson varieties","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.04480","last_updated":"2026-07-21T15:46:47Z","snapshot_observed_at":"2026-08-09T08:01:21.338316Z","submitted_at":"2026-07-05T20:03:18Z","title":"Category $\\mathcal{O}$ for truncated shifted Yangians and the bi-infinite Bott-Samelson variety","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-02T08:44:51.320460Z"},"links":{"cited_paper":"/paper/2507.16215","citing_paper":"/paper/2607.04480"},"observation_digest":"sha256:cb3db13d09bc8faf16cd3eab41ec42fca73e39b54f4b3f7c080bdfed27b371d6","observation_id":"551c98c8-c8b5-46b4-85bd-b4ece530aa01","resolution":{"observed_at":"2026-08-02T08:44:51.320460Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2507.16215/citation-record","integrity":"/paper/2507.16215/integrity","json":"/paper/2507.16215/citation-record.json","paper":"/paper/2507.16215"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:24:52.089748Z","title":"A polytope calculus for semisimple groups","venue":null,"work_id":"87992ce4-bb75-4711-b2e5-cafde969ea9a","year":2003},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:48.299422Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:b7809abb310a4c425d52bb82573012dd933ad1f4f755484412162ee96b171074","observation_id":"d6e60753-ccc0-4735-9800-f4165ddd0a8c","resolution":{"observed_at":"2026-08-06T15:24:52.175440Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T15:24:51.876590Z","title":null,"venue":null,"work_id":"2f2c87b9-6217-4105-b9c6-9245d7861cb3","year":1975},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:48.443085Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:e7101f8b7ef002eb25d64a59a337eb69e483ed60ced8a08c8c76d4bd95d8c5a6","observation_id":"a5241f0e-1f74-4ec2-9aad-41921136ceea","resolution":{"observed_at":"2026-08-06T15:24:51.986317Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T15:24:50.838650Z","title":"A diagrammatic approach to categorification of quantum groups I","venue":null,"work_id":"42aa791b-76bc-4d03-b695-5f2575bfa489","year":2009},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:49.042878Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:5252f7114ab5daad1b333c0f15ac00aa41d23e8e3c7d67b621db242a8179e222","observation_id":"90f0ad47-420a-47c3-84dc-0557e7f94f6d","resolution":{"observed_at":"2026-08-06T15:24:50.900878Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T15:24:50.127417Z","title":null,"venue":null,"work_id":"07fa6ab1-9226-4f72-9e1a-8f8410eebf4f","year":2017},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:49.632251Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:67c00748c6a7cb942da653a45247b6bb17b8382b1ac078094965fb0dd6e42b05","observation_id":"63dc7938-2e85-4fba-b8db-66d0ceaa571f","resolution":{"observed_at":"2026-08-06T15:24:50.159126Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0812.5023","last_updated":"2008-12-30T20:55:30Z","snapshot_observed_at":"2026-08-15T05:58:19.173484Z","submitted_at":"2008-12-30T20:55:30Z","title":"2-Kac-Moody algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0812.5023","snapshot_observed_at":"2026-08-06T15:24:49.305863Z","title":"Geometric Langlands duality and representations of algebraic groups over commutative rings","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:49.305863Z"},"links":{"cited_paper":"/paper/0812.5023","citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:a2255f3bd370f0f92342d4696b5890f3854209cd1b89e9e20bd8354aac72f1d3","observation_id":"25c78bdd-83cf-4cd8-974d-8f14a891282c","resolution":{"observed_at":"2026-08-06T15:24:49.305863Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-06T15:24:50.702416Z","title":"Hamiltonian reduction for affine Grassman- nian slices and truncated shifted Yangians","venue":null,"work_id":"f7745b1e-7316-4a7a-80f8-c53e4d1fcd80","year":2022},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:49.111278Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:8976a2efe60d6c2743280848c9315bc704006156feffb2b49a79e8132703d9ff","observation_id":"fa64ea0b-b33d-478a-90bd-aedf29045fed","resolution":{"observed_at":"2026-08-06T15:24:50.750627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.11193","last_updated":"2021-03-20T14:57:21Z","snapshot_observed_at":"2026-08-16T18:37:35.243742Z","submitted_at":"2021-03-20T14:57:21Z","title":"Localization theorems for quantized symplectic resolutions","version":1},"cited_work":{"arxiv_id":"2103.11193","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.11193","snapshot_observed_at":"2026-08-06T15:24:49.963253Z","title":"Localization theorems for quantized symplectic resolutions","venue":"math.RT","work_id":"b9dc9893-625c-4291-a537-9b3634fb9aea","year":2021},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:49.148229Z"},"links":{"cited_paper":"/paper/2103.11193","citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:ad305d808aace084cc02e739453d023b7856487b0d72dc71df85058929436149","observation_id":"54286bad-275f-44ea-9131-6a1b81c70b8b","resolution":{"observed_at":"2026-08-06T15:24:50.011763Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.06046","last_updated":"2026-05-31T09:06:51Z","snapshot_observed_at":"2026-08-16T14:10:49.225840Z","submitted_at":"2024-10-08T13:45:11Z","title":"Auslander-Reiten combinatorics and $q$-characters of representations of affine quantum groups","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.06046","snapshot_observed_at":"2026-08-06T15:24:48.633195Z","title":"Auslander-Reiten combinatorics and q-characters of represen- tations of affine quantum groups","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:48.633195Z"},"links":{"cited_paper":"/paper/2410.06046","citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:c8e51c0103ce68578592ae95ca27d14b6395132a094e65906077b005d07731f0","observation_id":"0d82daf5-be55-4e14-b4a4-10ddcfdec192","resolution":{"observed_at":"2026-08-06T15:24:48.633195Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1601.03586","last_updated":"2024-01-22T04:23:50Z","snapshot_observed_at":"2026-08-14T22:14:39.690617Z","submitted_at":"2016-01-14T13:15:08Z","title":"Towards a mathematical definition of Coulomb branches of $3$-dimensional $\\mathcal N=4$ gauge theories, II","version":8},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1601.03586","snapshot_observed_at":"2026-08-06T15:24:48.365497Z","title":"Towards a mathematical definition of Coulomb branches of 3-dimensional N = 4 gauge theories, II","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:48.365497Z"},"links":{"cited_paper":"/paper/1601.03586","citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:c1e5157f87e0467f6a670e4a8777a0d36cd7b579bc76e1aa2d762593bcd7f914","observation_id":"9129c6bd-6786-4142-84c5-473a40bfd6cb","resolution":{"observed_at":"2026-08-06T15:24:48.365497Z","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":"2026-08-06T15:24:51.241599Z","title":"Realizations of crystals","venue":null,"work_id":"f06d8a78-b854-4130-a442-d7ebbdd54130","year":2001},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:48.827394Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:29c84aebc05e61a3f2a8b60d6dc938670ff7784af4dacd37e0538a2219b6470b","observation_id":"33f18d08-fb23-4a45-8991-c5f670c22623","resolution":{"observed_at":"2026-08-06T15:24:51.258325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T15:24:51.413732Z","title":"Shifted Yangians and polynomial R-matrices","venue":null,"work_id":"11a282a3-9ea5-471a-b9ea-4a2c277be3f8","year":2024},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:48.710508Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:426e18200f3cecc316e040c6cf51f9de413dc805b048e9265114090112020f6d","observation_id":"4d102171-272a-43ef-acb6-a75e823a0965","resolution":{"observed_at":"2026-08-06T15:24:51.500370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T15:24:50.252401Z","title":"A quantum Mirkovi´ c-Vybornov isomorphism","venue":null,"work_id":"339274be-a820-4996-9b2f-28813605ce36","year":2020},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":102,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:49.528245Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:1d4aeafa66ae744247e71d6be7eb60323ae258bac0e9ec73007cf1965a5024e0","observation_id":"62590ce3-5825-40d0-8d20-0b0b507a67d7","resolution":{"observed_at":"2026-08-06T15:24:50.320253Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T15:24:50.969618Z","title":"Global crystal bases of quantum groups","venue":null,"work_id":"888e28cc-5df0-4857-9f4d-8cd253f2ed2a","year":1993},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":139,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:48.982681Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:23f22f431e819bd476a28dbf85301d71e1a5020f7fd37b79add0316e0395ca1a","observation_id":"625db46a-0a1f-4462-9295-d8e32a12da4c","resolution":{"observed_at":"2026-08-06T15:24:51.057903Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T15:24:50.540993Z","title":"Gelfand-Kirillov dimension and associated graded mod- ules","venue":null,"work_id":"d9cc31f6-3597-4e7d-b455-fbb437f3c9df","year":1989},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":227,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:49.207357Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:0cb193f85cdf6dc70163e6a49138887617bef99c524b8859459e1e7013e81e90","observation_id":"46c1039f-cfa3-441b-bba3-45bb7839e90d","resolution":{"observed_at":"2026-08-06T15:24:50.600568Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T15:24:51.692200Z","title":"Quantizations of conical symplectic resolutions I: local and global structure","venue":null,"work_id":"a28d9e17-b9cf-4435-b2c9-3003faa5c4aa","year":2016},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":265,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:48.490293Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:3e420cb84283ad2703d32e314734972e9d870eafffe44f92f38749b3d2f6c036","observation_id":"9697753f-d919-4137-a040-9234a83208f3","resolution":{"observed_at":"2026-08-06T15:24:51.766113Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T15:24:51.597458Z","title":"Equivariant multiplicities of simply-laced type flag minors","venue":null,"work_id":"8412261e-92d9-44ac-8167-dea20d1c30b9","year":2021},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":267,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:48.544965Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:2a2d0d2d9735b1f6091eae978a1fcfe7e3bc784c522146b46eb6fdf7d0cb5a68","observation_id":"57b74d02-8a46-4791-b12d-0d1f25d745d9","resolution":{"observed_at":"2026-08-06T15:24:51.636825Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T15:24:51.110816Z","title":null,"venue":null,"work_id":"1ce21f2c-8afb-4f67-bb4f-e1712b4dc02b","year":2003},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":325,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:48.914756Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:0534c826e786438b93beea0d7b475f0bdfa3837f885f355cee144098559ffeba","observation_id":"b04363d2-3e21-411a-807c-85a280c84b04","resolution":{"observed_at":"2026-08-06T15:24:51.198378Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2503.06262","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:24:49.801514Z","title":"Canonical bases and KLR-algebras","venue":null,"work_id":"3c572993-5e1d-4e3d-ac45-11d8d8b5232a","year":2011},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":963,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:49.375815Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:9559ea040f585d29275d9c09a38f79cd35e25d4f5329ed8527b95390ae4c819b","observation_id":"d344b461-def2-4de9-a2ea-a0d533effbda","resolution":{"observed_at":"2026-08-06T15:24:49.846023Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T15:24:50.401522Z","title":"Highest Weights for Truncated Shifted Yangians","venue":null,"work_id":"bf36a162-2df4-4946-8a2e-41c455d83c7a","year":2017},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":1191,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:49.458761Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:c51e652ee505d59dea51d72a3af6e3f07a51e006db734040338b72c488f4ab63","observation_id":"b7ab8f9d-914f-4958-9bbd-dc80e065f981","resolution":{"observed_at":"2026-08-06T15:24:50.448294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T15:24:51.308461Z","title":"Lie algebra actions on module categories for truncated shifted yangians","venue":null,"work_id":"f20ae52d-177c-4160-85b2-ff5243a9220e","year":2024},"citing_paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:48.773052Z"},"links":{"citing_paper":"/paper/2507.16215"},"observation_digest":"sha256:de14d7f9444ac7cad24561c35242b2b5a54e2453d3bbde67b5000475735e0d7c","observation_id":"7e774856-c198-4d79-8fa8-a1367958caf9","resolution":{"observed_at":"2026-08-06T15:24:51.353340Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.16215","last_updated":"2025-07-22T04:16:32Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-06T15:12:58.046444Z","submitted_at":"2025-07-22T04:16:32Z","title":"Category $\\mathcal{O}$ and asymptotic characters"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":1,"metadata_mismatch":1,"parse_uncertain":1,"unresolved":4,"verified_exact":1,"verified_fuzzy":12},"total_outbound_references":20},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 3 inbound Pith citation observations for arXiv:2507.16215."}