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Paper Citation Record · LEDGER

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$

As of 14 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2512.21750.

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

pith.paper-citation-record.v1
2512.21750 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T19:47:18.017157Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

  • verified exact3
  • verified fuzzy17
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a01ae734-6bd7-42c4-becc-a78bce53e94e · outbound

This paper cites Awata, B.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Awata, B

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.250758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:a444b29a8fc5fe5d11c0db59e803968a3ecc2c35f112ea61aa7df884572e4bd5

Observation 3faba02e-0b8f-4f72-a3d4-bb37e2654a76 · outbound

This paper cites an unresolved cited work.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-16T19:48:22.246581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:41b7d3cc43f92bd4d1fb2dc15e131b2b8502f5c13ab0a4e3d470381972c4af9e

Observation 8e354f1c-ec69-496d-9b61-5f4a81569761 · outbound

This paper cites Vertex algebras from divisors on Calabi-Yau threefolds.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Vertex algebras from divisors on Calabi-Yau threefolds

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-16T19:48:21.726543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:a23213eb7dd13feb15ac49b8d38819214e513891434e06696f6e411e32cd987c

Observation d77870cf-f0be-4395-bbc5-bdcd4eca8e89 · outbound

This paper cites Belavin, M.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Belavin, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.242573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:e1735b04a72252b31bbf752f5bdb81896f4eda016d0b238f40ccd3010f8725f3

Observation eeb68ca7-2dd1-4487-a5e9-5a2afa873a05 · outbound

This paper cites Bershtein, B.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Bershtein, B

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.244515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:52634b5ddce99b1408fdd15e396500e2c6dad99c604032a6fdb3f7980a0df797

Observation fe956078-a590-4a0e-a4fe-c8142f988407 · outbound

This paper cites Creutzig and D.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Creutzig and D

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.248682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:9109a03276b009e85d1fec1ccbf85d97561b98aed5de95a3f924f8fae15f3b5d

Observation 169d4022-76da-45ba-9f3f-8bf4d33ba49a · outbound

This paper cites an unresolved cited work.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-16T19:48:22.238476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:278d80ce102b2176e856f314e66e30ef0a926d9e553c9d6fc8cb6ca59d389647

Observation 0f9fd30b-081f-4e23-bae6-06b6974cc52b · outbound

This paper cites Feigin, M.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Feigin, M

Reference 8

Resolution
verified exact
doi, observed 2026-05-16T19:48:21.081476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:307d5507721ed3555851c1bc34603a0b94ae4f70f1a0c70ec70f31346afab995

Observation 58bdea74-a1cc-45dc-884f-8bc476d4f939 · outbound

This paper cites Feigin, M.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Feigin, M

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-16T19:48:21.723507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:3f67c41dbbf96e3489b7922bd43cc60cf7f95f9e9d88b177c81e0378f770340c

Observation 2d61bdc5-16ee-4f6e-963d-a5fbcff1730f · outbound

This paper cites Feigin, M.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Feigin, M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.236463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:fdca140ea4c87f159dc28d17b98b2706d4771cb31192abac905daa1332451a9b

Observation eda60c10-cf60-4463-8807-36eb826bbc7f · outbound

This paper cites Fukuda, Y.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Fukuda, Y

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.258542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:e06ac88d6c7c8fbc3d6ac1cc12a7fe6bd3ff83f7dc53cbb1fef9e8830b3da6f7

Observation bff3934c-9324-47e2-9818-f7dfd426318f · outbound

This paper cites Frassek, V.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Frassek, V

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.232033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:da8c55d0f3526cd1332b8eec6a962d3a25e92c51e5c87524511f44084393dc4e

Observation a6aeeda2-12ef-4ca4-af2f-0faa0d5de678 · outbound

This paper cites Finkelberg and A.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Finkelberg and A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.234326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:c0a5ee45384dfb98ad44cf9110db549b4e42264e6f88211525c3bd66ae3750bd

Observation cfa104cc-a148-46d7-9856-da458f9ba603 · outbound

This paper cites Lukyanov, Free field representation for massive integrable models , Commun.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Lukyanov, Free field representation for massive integrable models , Commun

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.240447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:18de6c952441b3549fe8134ba2a3bbcfa659620074bae1d36da032b55c894671

Observation 748eaba6-bb02-4781-b6eb-4190a1f88f47 · outbound

This paper cites Li and P.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Li and P

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.252820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:97f1c6839a508d8ab53c094a9dbd4f14f5f71de8974876f8f400ad8c59cac982

Observation a51b27c4-3b35-41ca-8a82-d1ae910021bd · outbound

This paper cites Lukyanov and Y.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Lukyanov and Y

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.254709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:973c1b4f4f8f3439fe9145cefdd4bf79d37192a95fbb2364e09485706c80fd14

Observation aed555df-6113-4904-958e-7e4e9e9d5fb3 · outbound

This paper cites Miki, Toroidal and level 0 U_q' sl_ n+1 actions on U_q gl_ n+1 modules , J.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Miki, Toroidal and level 0 U_q' sl_ n+1 actions on U_q gl_ n+1 modules , J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.229681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:68721e2bb4cbfa4fc8072b1d4ac2249553827712de282d437516dcfa00ed88b8

Observation 8fd3117d-c751-44d8-a1ca-2da37a93d84f · outbound

This paper cites Negut, Toward AGT for parabolic sheaves , Int.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Negut, Toward AGT for parabolic sheaves , Int

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.225074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:9a7b767d105e4bc800712364a39b06d9b5f9dba6608a20fbc7935717d72389f3

Observation 983dbaae-0c60-4156-9a8d-2825d2b22128 · outbound

This paper cites Noshita and A.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Noshita and A

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.256590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:cf5822cfda40faab3db2c869b4cbeccfcaeda73cbb760a543b8fab6d56df6d31

Observation f892fb68-b825-4340-af57-ac77aefdf0cc · outbound

This paper cites Proch \' a zka and M.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Proch \' a zka and M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.221219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:d06846d30e39dfdb5e0b611e0aff404f3879d4e824de47c13c5d8b905efdd3f9

Observation 91d21f67-ec88-4989-9668-370f155296c6 · outbound

This paper cites Shiraishi, Free boson representation of U_q( sl _2) , Phys.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Shiraishi, Free boson representation of U_q( sl _2) , Phys

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.223081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:c846b23963b833067af5cd408507770e6bbf58e2009717ab5139e28f251769e9

Observation 05a60e32-b420-4b9b-927e-212e1c445c7e · outbound

This paper cites Zenkevich, Higgsed network calculus , JHEP 08 , (2021) 149.

Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$ Zenkevich, Higgsed network calculus , JHEP 08 , (2021) 149

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T19:48:22.227140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-16T19:47:18.017157Z digest=sha256:167ad7602098d264f7ba5a9bc6828d9e6e7d95227ad19ec964c4ff5e8cd80a4d

Pith citing papers

No inbound Pith citation observations are available.