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Paper Citation Record · LEDGER

Symmetries of Grothendieck rings in representation theory

As of 18 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 2 inbound Pith citation observations for arXiv:2501.03024.

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

pith.paper-citation-record.v1
2501.03024 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:04:34.471936Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:44:50.960851Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

  • verified exact4
  • verified fuzzy28
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b1f5b290-edef-41f5-9633-6c5c3bb31bde · outbound

This paper cites Brito and V.

Symmetries of Grothendieck rings in representation theory Brito and V

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:35.110712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.286309Z digest=sha256:5b59efadeda0c80b3f74e02ccedaa28bd83a7cd48881498acbbf51109826e7a0

Observation 1f49ca71-d4f6-40f4-b96b-f130084c27ba · outbound

This paper cites Braverman, M.

Symmetries of Grothendieck rings in representation theory Braverman, M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:35.095696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.292060Z digest=sha256:90203e1a49a59fb2b90496069583291ba24511c31efa4473269b6bb2d9a7afac

Observation 3e2e97a2-92bd-46d5-be3e-3a1839cc4ada · outbound

This paper cites Baumann and S.

Symmetries of Grothendieck rings in representation theory Baumann and S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:35.080532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.297673Z digest=sha256:32c51c8580e208c940dbce075477ecfb9b2a15920b55e8f819a7baf8430fc2c4

Observation bbc1c176-7307-4fb5-ab73-a4fdf9764abc · outbound

This paper cites Chriss and V.

Symmetries of Grothendieck rings in representation theory Chriss and V

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:35.066254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.303826Z digest=sha256:16b8a2002c9c4ae8d4c230c454a493721349aaaa46808de790b508335b75dce5

Observation 012fcf5f-1fb3-46a9-9d7d-47c4281593dd · outbound

This paper cites Cautis and H.

Symmetries of Grothendieck rings in representation theory Cautis and H

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:35.051160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.309675Z digest=sha256:ae9805e8cb9db427e71043a1b5838e51d9b514ce3cff0a65542a6e0672d6d84a

Observation 0ed97f2c-53a5-47dd-b68b-2f7366a69d72 · outbound

This paper cites Frenkel and D.

Symmetries of Grothendieck rings in representation theory Frenkel and D

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:35.035817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.315214Z digest=sha256:bd22422aeb2f22bb7f71d333d813d86c3c7d33d62beb4229a8363779800cda97

Observation c21e35b5-c46b-4cb6-a1c2-7ba3db7cb4df · outbound

This paper cites Frenkel and D.

Symmetries of Grothendieck rings in representation theory Frenkel and D

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:35.021398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.321810Z digest=sha256:a3f30f5ab3edc86f71559bfbcd4b1a4812c9d7c2baa7c9c78fbcc15e72af65f6

Observation 1ceed439-22e1-4fd6-8b85-a6b3e0ea4477 · outbound

This paper cites Weyl group symmetry of q-characters.

Symmetries of Grothendieck rings in representation theory Weyl group symmetry of q-characters

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-10T22:04:34.652588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.326711Z digest=sha256:32c989c6744121348214a65a18747f8b91231ee2d8e5c4ba1f5aa19809c26691

Observation 3e40c86c-179f-4eb2-bf08-c3656331292e · outbound

This paper cites Frenkel and D.

Symmetries of Grothendieck rings in representation theory Frenkel and D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:35.005911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.332630Z digest=sha256:9367d4c239666b78ac44df782b29a3e94994e31cd1cd72e3563666d309b089a5

Observation 14887640-26b3-48e9-9edf-82aca0e14d90 · outbound

This paper cites The q-characters of representations of quantum affine algebras and deformations of W-algebras.

Symmetries of Grothendieck rings in representation theory The q-characters of representations of quantum affine algebras and deformations of W-algebras

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-10T22:04:34.619247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.338047Z digest=sha256:071e56277b658272c3862e37031ddb79ea795eacf862e3b216f07a64f630154e

Observation 3daf889a-0d13-4fbe-bf9a-9028145f7a33 · outbound

This paper cites Monoidal Jantzen filtrations.

Symmetries of Grothendieck rings in representation theory Monoidal Jantzen filtrations

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-10T22:04:34.592112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.343561Z digest=sha256:e9c1a7ee15d6bf505b3d110a22b3ec3b20f3c0d77e024e298ecfb4fb6687e735

Observation aadb5e67-d9fe-4fec-a258-c630265481fd · outbound

This paper cites Isomorphisms among quantum Grothendieck rings and cluster algebras.

Symmetries of Grothendieck rings in representation theory Isomorphisms among quantum Grothendieck rings and cluster algebras

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-10T22:04:34.350695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:04:34.350695Z digest=sha256:aec1f7158b7014bccfe1c5a0b270bca2feb96b3d0d58aa29738609381d7db71e

Observation 78682d46-715b-4029-8499-cebf74da70b1 · outbound

This paper cites Finkelberg and A.

Symmetries of Grothendieck rings in representation theory Finkelberg and A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.990880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.356948Z digest=sha256:41d999d8f4b9b6683cb5ce7a5fcdfc649b830bfc838e43b75c603a3fd33e4d64

Observation ee784203-f326-4429-9d4e-384b7ec79028 · outbound

This paper cites Fomin and A.

Symmetries of Grothendieck rings in representation theory Fomin and A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.975617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.364575Z digest=sha256:230fed191d69e25e448ffff532d4ae9a328da915dbd0e0726a42c00e02178424

Observation 42043d2b-6d85-4aaa-9f79-bb37c787d0e0 · outbound

This paper cites Geiss, D.

Symmetries of Grothendieck rings in representation theory Geiss, D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.960001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.369879Z digest=sha256:f1939930b2f44f63cf0ca4a140d650aa05f13974ef7ac06388bb45c9505eea38

Observation 24fe7162-1ff3-4cb3-b146-919e89fffcc7 · outbound

This paper cites Hernandez , Algebraic approach to q,t -characters , Adv.

Symmetries of Grothendieck rings in representation theory Hernandez , Algebraic approach to q,t -characters , Adv

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.945310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.375878Z digest=sha256:190001d92c0583f5e50eaced930691ffea14257628ba83e62f72d5fe8caeb5cb

Observation 144f6d5b-0fac-4bb7-8633-b569ec743264 · outbound

This paper cites Hernandez , Representations of shifted quantum affine algebras , Int.

Symmetries of Grothendieck rings in representation theory Hernandez , Representations of shifted quantum affine algebras , Int

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.930608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.381324Z digest=sha256:a6e69aa5d83e54f5376eeb0aedcc397a8ee515c0d0f0231733d6f8c016286829

Observation ae5ee158-d642-474c-a5cc-e40ddac31fa6 · outbound

This paper cites Hernandez and M.

Symmetries of Grothendieck rings in representation theory Hernandez and M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.915182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.386002Z digest=sha256:c5a1cdb7ea771f37304204a5bfe28008dba78017ddd10d1433bc2722ccc5d3ed

Observation 6ea64176-768c-487b-8e81-257bd5fdc66b · outbound

This paper cites Hernandez and B.

Symmetries of Grothendieck rings in representation theory Hernandez and B

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.900592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.390813Z digest=sha256:9438adfb798ef5f87d43a19f5581e7cbb290f2eca2bfe7eb1b081301e0d45f9a

Observation 5c9c9127-6d8e-4879-ab15-8b1c45924a3f · outbound

This paper cites Hernandez and B.

Symmetries of Grothendieck rings in representation theory Hernandez and B

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.886046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.396191Z digest=sha256:7910d7c82b9a3404d6f3a7935e661e501759675344d31175c0cc5b2cd9c07d44

Observation d9bac598-f557-4d9b-a34c-6e0d83ee350f · outbound

This paper cites Hernandez and B.

Symmetries of Grothendieck rings in representation theory Hernandez and B

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.871554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.401416Z digest=sha256:4b7889a9b6e215d88c20f6ee6baf2c806891eb8a38952399b1cb00d3405d0b58

Observation 6e1dfd3c-1a53-493a-885d-f090e1c60f16 · outbound

This paper cites Hernandez and H.

Symmetries of Grothendieck rings in representation theory Hernandez and H

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.856160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.407547Z digest=sha256:26c63852b498c60a3622997da71d997f25c948e6a3ac9850e61fa8dcfcf59a80

Observation df41f8b0-0654-4173-8309-0811c4572626 · outbound

This paper cites Hernandez and B.

Symmetries of Grothendieck rings in representation theory Hernandez and B

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.840656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.412987Z digest=sha256:8d2ba4482b204d0a98073f351f69ceeccc284341dd7d583101141b9d6ea3915d

Observation 03f24310-f40e-4cee-9350-087abff69536 · outbound

This paper cites Hernandez and B.

Symmetries of Grothendieck rings in representation theory Hernandez and B

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.819144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.417773Z digest=sha256:283ed987eada07591412032ef813b9449aaca144e0090e0c3592f89aba142fe1

Observation d672f2a4-ddcc-42c8-a7fe-d934ec21e3e7 · outbound

This paper cites Cluster realization of Weyl groups and $q$-characters of quantum affine algebras.

Symmetries of Grothendieck rings in representation theory Cluster realization of Weyl groups and $q$-characters of quantum affine algebras

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-10T22:04:34.541719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.423046Z digest=sha256:744e778efc90dd4d88ed06d17fd9613d91cfd2976c6839e02d86492fa4cf2ed6

Observation 6378b57f-16f4-4e6e-a5da-ed4bde9ac692 · outbound

This paper cites Keller , Cluster algebras and cluster monomials , European Congress of Mathematics, 399--413, Eur.

Symmetries of Grothendieck rings in representation theory Keller , Cluster algebras and cluster monomials , European Congress of Mathematics, 399--413, Eur

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.802591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.428703Z digest=sha256:20703cca4f302966b77ec26f2e06f109f03c942d2ef82af505362c246614784d

Observation 46456b06-a599-4171-a828-07ff04b8fd16 · outbound

This paper cites an unresolved cited work.

Symmetries of Grothendieck rings in representation theory Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:04:34.784901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.433697Z digest=sha256:641a41a766ac4e0faf1eff43ab008e889241799c68d157b0d4108fac840b5720

Observation 7214c877-73c9-4c56-ac66-c6c3a7e8427f · outbound

This paper cites Kashiwara, M.

Symmetries of Grothendieck rings in representation theory Kashiwara, M

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.768462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.438953Z digest=sha256:26a06784d904940bd619768dbb87ae76487fd647806b60cb254ef50692880ef8

Observation 4453c3fb-5803-48e0-9cd6-419a0a0c53ff · outbound

This paper cites Khovanov and A.

Symmetries of Grothendieck rings in representation theory Khovanov and A

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.752114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.443870Z digest=sha256:1589ab9e09fd0488c160fefd225da1dac195fd6cac93c2fa47aa816ca718c824

Observation e3ccff56-890b-4334-bce4-601616a2d433 · outbound

This paper cites Mac Lane , Categories for the working mathematician , Second edition.

Symmetries of Grothendieck rings in representation theory Mac Lane , Categories for the working mathematician , Second edition

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.736375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.448401Z digest=sha256:04171f0e736816f60381e4450a98f5143aed1a84c543c58c94716d870ab81114

Observation 72cbc015-991b-40be-a446-4aaea13027d6 · outbound

This paper cites Nakajima , Quiver varieties and t -analogs of q -characters of quantum affine algebras , Ann.

Symmetries of Grothendieck rings in representation theory Nakajima , Quiver varieties and t -analogs of q -characters of quantum affine algebras , Ann

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.720664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.453037Z digest=sha256:660a1cfdd44c97dfe89bfe09183ccce96519d8274e79fcc264a610e403694024

Observation e3e1b1e6-a461-42ad-974a-331d4f831887 · outbound

This paper cites Nakajima , Quiver varieties and cluster algebras , Kyoto J.

Symmetries of Grothendieck rings in representation theory Nakajima , Quiver varieties and cluster algebras , Kyoto J

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.704267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.457403Z digest=sha256:48d7e888e151fdbbc5130b21b98a150e333f144271421ac0d3e29db4b8d8b0c4

Observation 6980f935-df2c-4043-9fca-f9b68535b82e · outbound

This paper cites Qin , Triangular bases in quantum cluster algebras and monoidal categorification conjectures , Duke Math.

Symmetries of Grothendieck rings in representation theory Qin , Triangular bases in quantum cluster algebras and monoidal categorification conjectures , Duke Math

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.687124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.461860Z digest=sha256:da9cefa5a4df6ef865f04ba0a3d2413a78eb52adffd89a2ebc82be796a51c51d

Observation 6f71f98e-7f9c-4e9d-b5b7-09e93af412a5 · outbound

This paper cites 2-Kac-Moody algebras.

Symmetries of Grothendieck rings in representation theory 2-Kac-Moody algebras

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-10T22:04:34.466794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:04:34.466794Z digest=sha256:61deab9a28e461c72f87fe5824b094700a8a942b81dbf6fc21ad24222ed3165e

Observation 68bc1d4c-a825-478e-a060-1e538bd4d74a · outbound

This paper cites Varagnolo and E.

Symmetries of Grothendieck rings in representation theory Varagnolo and E

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:04:34.669018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.471936Z digest=sha256:d6410314ef1e42e7205be61146c252be7bb7d1bcb956bd8ecfe501a736e4ce5e

Pith citing papers

Observation 699aa44a-e432-433b-a230-2f01694d1692 · 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 Symmetries of Grothendieck rings in representation theory

Reference 16

Resolution
malformed identifier
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:da8eda6a4fe1d7323576a25353256bcfff636664e9af7f94f805006a0b57b6ef

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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 Symmetries of Grothendieck rings in representation theory

Reference 24

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