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Paper Citation Record · LEDGER

Symmetries of Grothendieck rings in representation theory

As of 23 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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.286309Z digest=sha256:e838ac4380305119df579d389ebcf8a6daf2242a3e6cde7f40e5b72a0dd170b4

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.292060Z digest=sha256:4b61fd0a434948589ee2ddf93a65e58ca164caa2e09f83248bd67bf4e8802112

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.297673Z digest=sha256:ba2b6a82352aafe59581d632c561cc172ddc0077ae3fdea83d528d83438a7d5d

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.303826Z digest=sha256:888fb1af3dfe164a83add0024a68b718314ef517f046493f2c766603e2ec4059

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.309675Z digest=sha256:790b29a473d0d870f41e9ffb4f095396c08572e1fcf55c2eec7f7a20c118783a

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.315214Z digest=sha256:f91778949d9b7f0135c54edebceb442801fa4927f2553e01eb0f03792dee38be

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.321810Z digest=sha256:0c0f88b05f6a1ee361379cf242e7b81b40486157e23e936c01663d103e301a00

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.326711Z digest=sha256:4eb8e98961ced5f3f6001d9be7f7824ab9d2988bed6c404c8c93d11fea272bda

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.332630Z digest=sha256:fa62f381425e9e00fb1a16ccdbae2bba43229d736a370972ae40dbcb208827af

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.338047Z digest=sha256:0add0ad07aa1f6e5629f59b6ca16609e0efb7bda77eb1a59195ea5af84a20910

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.343561Z digest=sha256:a89324715cb6e3749246f919dbbeffa223174e41264eb42daa1e634a7fff303e

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=sha256:75a1b710a2a1a49fe9ac00d5f1fb2041b7f7a444c35aeeb628e90ade599ba8f7

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.356948Z digest=sha256:b27b6dc2ff5f920045d5bfbafc33cdb19b0deda5dac2894d441699c808a9eabe

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.364575Z digest=sha256:22eea0a6ffc640e8be4be5da30c65f8eb4695a0800d501f779e8e48c067b9e1f

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.369879Z digest=sha256:1478623631f0d76cdd637804d4e9c848825ee708805404201b7f62b396c855d0

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
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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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.375878Z digest=sha256:2a76205f2be78d540d25ef3c87eb1a17999428a677cfc6d22b7776f52cea481e

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.381324Z digest=sha256:d5e68bcc85531bc309d4332c0cc6e9588b1eaa2732f00325ea294ddf85200e0e

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.386002Z digest=sha256:e4fcd58aeddd5e222e01e653323959f8101a8b352dfb06f115790a2b401b8aeb

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.390813Z digest=sha256:dd3c49e1f2bec5454400d64b16db675a8e985e31b5cf0c73fa1b04a5a9bbd366

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.396191Z digest=sha256:8641ed7e1aa959551c85a27f2892fad7902864576480eb014a1d809f99bb90b4

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.401416Z digest=sha256:0fe4736770f061a88d2d0f280fa10c09f3fa0e1d1704789b897fdc9df28b8644

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.407547Z digest=sha256:27d5f8874bbb20b6e65063f047775ccf4192311bd9986c893094be46b78cfd05

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.412987Z digest=sha256:c4403d84d2d218b4db82041fde8ac88f1e3cd4e1bd27639c82dfa18371197ae9

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.417773Z digest=sha256:d5011539efce411d0965d66729993bb4f1ca16f727111e0cf396ca6161e99048

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.423046Z digest=sha256:7a9c785fa44e07510ff2c85473e2c316cdf05751cdd743c870d0581c7739c518

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
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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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.428703Z digest=sha256:60074d8c4daf46870b60dcd135c6cbe8ac22de48dac8cba6fbecbd792554ed00

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.433697Z digest=sha256:9b0ae8f243d892943730ecd8da51899d2caaa42841f7d618f911755c9e7890b4

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.438953Z digest=sha256:964a4ea557732238bf855a74690cc5e86187d74233a31af2073aebeb322e5f4c

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.443870Z digest=sha256:f9def11592e2d66b852d8689557f8b54384d0044ec5743273f514fd0d105644b

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.448401Z digest=sha256:861b8e71430b1801c6c9ce9804d80bfe7a81dfd13cb2eded6400cab4ddb6ece5

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.453037Z digest=sha256:11774604151b1e769560955fa9780356cdca405304eddb2939f8ea36b2532315

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.457403Z digest=sha256:d7e859f4d3f98352d10becce21b9244bb639cffc14a7984349ef4cb43b77f16a

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.461860Z digest=sha256:a66adebc2af98cdf1adf7a50b50b33f507880d8179bfc49614d86071ef605783

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-10T22:04:34.471936Z digest=sha256:2d8e4c3b43ad60da967417aaf818b6b015dcc3f5905b3bdff75ef7b682618437

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.

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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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