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Paper Citation Record · LEDGER

Category $\mathcal{O}$ and asymptotic characters

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.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.16215 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:24:49.632251Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:44:51.320460Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved4
  • parse uncertain1
  • malformed identifier1
  • metadata mismatch1

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation d6e60753-ccc0-4735-9800-f4165ddd0a8c · outbound

This paper cites A polytope calculus for semisimple groups.

Category $\mathcal{O}$ and asymptotic characters A polytope calculus for semisimple groups

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:52.175440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:48.299422Z digest=sha256:b7809abb310a4c425d52bb82573012dd933ad1f4f755484412162ee96b171074

Observation a5241f0e-1f74-4ec2-9aad-41921136ceea · outbound

This paper cites an unresolved cited work.

Category $\mathcal{O}$ and asymptotic characters Unresolved cited work

Reference 8

Resolution
parse uncertain
raw_fallback, observed 2026-08-06T15:24:51.986317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:48.443085Z digest=sha256:e7101f8b7ef002eb25d64a59a337eb69e483ed60ced8a08c8c76d4bd95d8c5a6

Observation 90f0ad47-420a-47c3-84dc-0557e7f94f6d · outbound

This paper cites A diagrammatic approach to categorification of quantum groups I.

Category $\mathcal{O}$ and asymptotic characters A diagrammatic approach to categorification of quantum groups I

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:50.900878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:49.042878Z digest=sha256:5252f7114ab5daad1b333c0f15ac00aa41d23e8e3c7d67b621db242a8179e222

Observation 63dc7938-2e85-4fba-b8db-66d0ceaa571f · outbound

This paper cites an unresolved cited work.

Category $\mathcal{O}$ and asymptotic characters Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:50.159126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:49.632251Z digest=sha256:67c00748c6a7cb942da653a45247b6bb17b8382b1ac078094965fb0dd6e42b05

Observation 25c78bdd-83cf-4cd8-974d-8f14a891282c · outbound

This paper cites 2-Kac-Moody algebras.

Category $\mathcal{O}$ and asymptotic characters 2-Kac-Moody algebras

Reference 40

Resolution
malformed identifier
no resolver link, observed 2026-08-06T15:24:49.305863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:24:49.305863Z digest=sha256:a2255f3bd370f0f92342d4696b5890f3854209cd1b89e9e20bd8354aac72f1d3

Observation fa64ea0b-b33d-478a-90bd-aedf29045fed · outbound

This paper cites Hamiltonian reduction for affine Grassman- nian slices and truncated shifted Yangians.

Category $\mathcal{O}$ and asymptotic characters Hamiltonian reduction for affine Grassman- nian slices and truncated shifted Yangians

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:50.750627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:49.111278Z digest=sha256:8976a2efe60d6c2743280848c9315bc704006156feffb2b49a79e8132703d9ff

Observation 54286bad-275f-44ea-9131-6a1b81c70b8b · outbound

This paper cites Localization theorems for quantized symplectic resolutions.

Category $\mathcal{O}$ and asymptotic characters Localization theorems for quantized symplectic resolutions

Reference 52

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T15:24:50.011763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:49.148229Z digest=sha256:ad305d808aace084cc02e739453d023b7856487b0d72dc71df85058929436149

Observation 0d82daf5-be55-4e14-b4a4-10ddcfdec192 · outbound

This paper cites Auslander-Reiten combinatorics and $q$-characters of representations of affine quantum groups.

Category $\mathcal{O}$ and asymptotic characters Auslander-Reiten combinatorics and $q$-characters of representations of affine quantum groups

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-06T15:24:48.633195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:24:48.633195Z digest=sha256:c8e51c0103ce68578592ae95ca27d14b6395132a094e65906077b005d07731f0

Observation 9129c6bd-6786-4142-84c5-473a40bfd6cb · outbound

This paper cites Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, II.

Category $\mathcal{O}$ and asymptotic characters Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, II

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-06T15:24:48.365497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:24:48.365497Z digest=sha256:c1e5157f87e0467f6a670e4a8777a0d36cd7b579bc76e1aa2d762593bcd7f914

Observation 33f18d08-fb23-4a45-8991-c5f670c22623 · outbound

This paper cites Realizations of crystals.

Category $\mathcal{O}$ and asymptotic characters Realizations of crystals

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:51.258325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:48.827394Z digest=sha256:29c84aebc05e61a3f2a8b60d6dc938670ff7784af4dacd37e0538a2219b6470b

Observation 4d102171-272a-43ef-acb6-a75e823a0965 · outbound

This paper cites Shifted Yangians and polynomial R-matrices.

Category $\mathcal{O}$ and asymptotic characters Shifted Yangians and polynomial R-matrices

Reference 94

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:51.500370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:48.710508Z digest=sha256:426e18200f3cecc316e040c6cf51f9de413dc805b048e9265114090112020f6d

Observation 62590ce3-5825-40d0-8d20-0b0b507a67d7 · outbound

This paper cites A quantum Mirkovi´ c-Vybornov isomorphism.

Category $\mathcal{O}$ and asymptotic characters A quantum Mirkovi´ c-Vybornov isomorphism

Reference 102

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:50.320253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:49.528245Z digest=sha256:1d4aeafa66ae744247e71d6be7eb60323ae258bac0e9ec73007cf1965a5024e0

Observation 625db46a-0a1f-4462-9295-d8e32a12da4c · outbound

This paper cites Global crystal bases of quantum groups.

Category $\mathcal{O}$ and asymptotic characters Global crystal bases of quantum groups

Reference 139

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:51.057903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:48.982681Z digest=sha256:23f22f431e819bd476a28dbf85301d71e1a5020f7fd37b79add0316e0395ca1a

Observation 46c1039f-cfa3-441b-bba3-45bb7839e90d · outbound

This paper cites Gelfand-Kirillov dimension and associated graded mod- ules.

Category $\mathcal{O}$ and asymptotic characters Gelfand-Kirillov dimension and associated graded mod- ules

Reference 227

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:50.600568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:49.207357Z digest=sha256:0cb193f85cdf6dc70163e6a49138887617bef99c524b8859459e1e7013e81e90

Observation 9697753f-d919-4137-a040-9234a83208f3 · outbound

This paper cites Quantizations of conical symplectic resolutions I: local and global structure.

Category $\mathcal{O}$ and asymptotic characters Quantizations of conical symplectic resolutions I: local and global structure

Reference 265

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:51.766113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:48.490293Z digest=sha256:3e420cb84283ad2703d32e314734972e9d870eafffe44f92f38749b3d2f6c036

Observation 57b74d02-8a46-4791-b12d-0d1f25d745d9 · outbound

This paper cites Equivariant multiplicities of simply-laced type flag minors.

Category $\mathcal{O}$ and asymptotic characters Equivariant multiplicities of simply-laced type flag minors

Reference 267

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:51.636825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:48.544965Z digest=sha256:2a2d0d2d9735b1f6091eae978a1fcfe7e3bc784c522146b46eb6fdf7d0cb5a68

Observation b04363d2-3e21-411a-807c-85a280c84b04 · outbound

This paper cites an unresolved cited work.

Category $\mathcal{O}$ and asymptotic characters Unresolved cited work

Reference 325

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:51.198378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:48.914756Z digest=sha256:0534c826e786438b93beea0d7b475f0bdfa3837f885f355cee144098559ffeba

Observation d344b461-def2-4de9-a2ea-a0d533effbda · outbound

This paper cites Canonical bases and KLR-algebras.

Category $\mathcal{O}$ and asymptotic characters Canonical bases and KLR-algebras

Reference 963

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:24:49.846023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:49.375815Z digest=sha256:9559ea040f585d29275d9c09a38f79cd35e25d4f5329ed8527b95390ae4c819b

Observation b7ab8f9d-914f-4958-9bbd-dc80e065f981 · outbound

This paper cites Highest Weights for Truncated Shifted Yangians.

Category $\mathcal{O}$ and asymptotic characters Highest Weights for Truncated Shifted Yangians

Reference 1191

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:50.448294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:49.458761Z digest=sha256:c51e652ee505d59dea51d72a3af6e3f07a51e006db734040338b72c488f4ab63

Observation 7e774856-c198-4d79-8fa8-a1367958caf9 · outbound

This paper cites Lie algebra actions on module categories for truncated shifted yangians.

Category $\mathcal{O}$ and asymptotic characters Lie algebra actions on module categories for truncated shifted yangians

Reference 2023

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:51.353340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:24:48.773052Z digest=sha256:de14d7f9444ac7cad24561c35242b2b5a54e2453d3bbde67b5000475735e0d7c

Pith citing papers

Observation 46beaff7-18d8-490d-93bc-214a59e7dea2 · inbound

Kazhdan-Lusztig Basis and Optimization cites this paper.

Kazhdan-Lusztig Basis and Optimization Category $\mathcal{O}$ and asymptotic characters

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-10T02:48:26.734897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T02:46:46.699493Z digest=sha256:9405202e6f29712875801e59fbf31d088f0900927d154808dda052b32c50a5d1

Observation 515a48fa-ee36-4039-b009-5d93c5acea55 · inbound

Category $\mathcal{O}$ for truncated shifted Yangians and the bi-infinite Bott-Samelson variety cites this paper.

Category $\mathcal{O}$ for truncated shifted Yangians and the bi-infinite Bott-Samelson variety Category $\mathcal{O}$ and asymptotic characters

Reference 25

Resolution
unresolved
no resolver link, observed 2026-07-11T18:52:11.535430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T18:52:11.535430Z digest=sha256:f0430be745dd375711f35bcb976ee5f43b0a9e2f4efd031d9cf4dbb13b6597b7

Observation 551c98c8-c8b5-46b4-85bd-b4ece530aa01 · inbound

Category $\mathcal{O}$ for truncated shifted Yangians and the bi-infinite Bott-Samelson variety cites this paper.

Category $\mathcal{O}$ for truncated shifted Yangians and the bi-infinite Bott-Samelson variety Category $\mathcal{O}$ and asymptotic characters

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-02T08:44:51.320460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:44:51.320460Z digest=sha256:cb3db13d09bc8faf16cd3eab41ec42fca73e39b54f4b3f7c080bdfed27b371d6