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Paper Citation Record · LEDGER

Level one Weyl modules for toroidal Lie algebras

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.07132.

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

pith.paper-citation-record.v1
1908.07132 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:37:15.868287Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy9
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 172b6480-4233-4ea0-b279-4c7f5fee0b65 · outbound

This paper cites Groups 15 (2010), no.

Level one Weyl modules for toroidal Lie algebras Groups 15 (2010), no

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:37:16.252992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.759878Z digest=sha256:96a1c2ca6cf6e32d34904b6e5edd56af4cbc199b16ed1018de552b882385487b

Observation faaaaf16-6e4f-47fc-87c3-30cff89028e5 · outbound

This paper cites an unresolved cited work.

Level one Weyl modules for toroidal Lie algebras Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:37:16.236742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.765547Z digest=sha256:51fc0d34cc897e6463c7b325baf21c13336c25da0c63f168699c0425d57c2dc2

Observation a15581c4-4827-49f5-a2df-174a2178dd1f · outbound

This paper cites an unresolved cited work.

Level one Weyl modules for toroidal Lie algebras Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:37:16.220584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.770394Z digest=sha256:07de569c4cfb1cc57f60cab087ebf2f7783256d6abb71b917eba9ef2ebc90b30

Observation cd8c6319-3b1e-4e7f-92ec-e7eb59abd007 · outbound

This paper cites an unresolved cited work.

Level one Weyl modules for toroidal Lie algebras Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:37:16.204116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.775665Z digest=sha256:332aa5c2af318d645343ad83913101579d7969ffad2977ae7c2c9855f81c30bd

Observation c68546d1-5cdd-48e3-9243-9d455f3d4ce7 · outbound

This paper cites Theory 5 (2001), 191--223 (electronic).

Level one Weyl modules for toroidal Lie algebras Theory 5 (2001), 191--223 (electronic)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:37:16.187938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.781448Z digest=sha256:9270e3fbb65f52fc04ab3c2ddf7552d0c90d66e0c3dba205c5a08d62a7f3316b

Observation 73647397-807a-474d-8a24-ea627d0c6a67 · outbound

This paper cites an unresolved cited work.

Level one Weyl modules for toroidal Lie algebras Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:37:16.172725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.787065Z digest=sha256:73f569fe17e0999f51ecb0f824f2ebc68fe9daec929f605e0398f11ca5f4ac24

Observation e3c66162-c84c-4af5-bce2-a53c3ac3c9f4 · outbound

This paper cites Algebra 380 (2013), 78--108.

Level one Weyl modules for toroidal Lie algebras Algebra 380 (2013), 78--108

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:37:16.156884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.792977Z digest=sha256:86a483951a7dc2287d83e95e45294668f280dabde59608d34a8d8ddcb54caa0a

Observation fcdf033a-7ff8-4e7f-a348-165d38d13411 · outbound

This paper cites Frenkel and Victor G.

Level one Weyl modules for toroidal Lie algebras Frenkel and Victor G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:37:16.140536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.798414Z digest=sha256:987749f9d44e4aa364801737ae2912ba357071bd0f21ad4e10ce564d6b0ed1e3

Observation 1b5c08a5-6b5e-4f0c-ba50-fe19dbc65bad · outbound

This paper cites an unresolved cited work.

Level one Weyl modules for toroidal Lie algebras Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:37:16.123368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.803731Z digest=sha256:6dde43743d5c6af8894cf38ed6a17473d573fb8773c2d2634f0851ca838120bb

Observation 1608ec4a-07d1-4a5e-9470-3b4fee603fd4 · outbound

This paper cites an unresolved cited work.

Level one Weyl modules for toroidal Lie algebras Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:37:16.106189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.809599Z digest=sha256:e9c351f440e145d8a898e46cce58a9a6fdef5af6525f40acd860c399edc4a5e9

Observation bb34d6ef-a022-4349-8e58-4bf601e890c5 · outbound

This paper cites Vertex Representations for Yangians of Kac-Moody algebras.

Level one Weyl modules for toroidal Lie algebras Vertex Representations for Yangians of Kac-Moody algebras

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:37:15.911260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.814548Z digest=sha256:fded7a6a60c2b032c6af4ab583788659e89a482297b71051ca17feabc5df502c

Observation 99730308-f132-4441-bb00-7b18b2b50479 · outbound

This paper cites an unresolved cited work.

Level one Weyl modules for toroidal Lie algebras Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:37:16.088479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.820191Z digest=sha256:415063117e89bbe2fd6e6be58a54dc873ba079f391534ec3cfff130908bf62f0

Observation 04a7f689-e826-41cd-b97f-b932af95a80c · outbound

This paper cites an unresolved cited work.

Level one Weyl modules for toroidal Lie algebras Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:37:16.070690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.826083Z digest=sha256:bd46252248ff0d432a219083ebaf8ca966803edab7237ce7fff4938943ef9b41

Observation 155866a8-61cf-4289-a365-c920f7863b6d · outbound

This paper cites A lcove model, path model, and P=X , Int.

Level one Weyl modules for toroidal Lie algebras A lcove model, path model, and P=X , Int

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:37:16.053729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.831447Z digest=sha256:627bbbf404876c3bfd3925d418ffae2f548c756e6c5948c8ffed32ae7d8444f1

Observation 9d479941-1cb6-4837-9905-d9523e2d8d03 · outbound

This paper cites an unresolved cited work.

Level one Weyl modules for toroidal Lie algebras Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:37:16.035751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.837052Z digest=sha256:f9f513d6e3444cb7187be9e34af5793a7e75ec9bac7a92a3c462e47d71bdcf64

Observation 4e15ace3-dd46-4adf-bbbf-697c6c2f8db9 · outbound

This paper cites Moody, Senapathi Eswara Rao, and Takeo Yokonuma, Toroidal L ie algebras and vertex representations , Geom.

Level one Weyl modules for toroidal Lie algebras Moody, Senapathi Eswara Rao, and Takeo Yokonuma, Toroidal L ie algebras and vertex representations , Geom

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:37:16.017658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.842308Z digest=sha256:0343056ffdaaf72b2f66ba85dcad5f8cf79991c8178daf42543bdda6978e5c7e

Observation cd8c5869-d43e-419a-8c49-d6be7f9e91f5 · outbound

This paper cites an unresolved cited work.

Level one Weyl modules for toroidal Lie algebras Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:37:15.996846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.847599Z digest=sha256:9eebb9d2f7d841e33f65b583dd9b4684cf1a5838e1908f287fb10414afaccb23

Observation 3f76d30a-cc5a-4196-ba46-ab3ba1940838 · outbound

This paper cites an unresolved cited work.

Level one Weyl modules for toroidal Lie algebras Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:37:15.979870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.852634Z digest=sha256:d681758a148a626a938bc2caa5802c575ef072a4b8c02876102ea15f8487807e

Observation 2086c687-46a2-4b33-81a5-16f7bde2e63c · outbound

This paper cites Sanderson, On the connection between M acdonald polynomials and D emazure characters , J.

Level one Weyl modules for toroidal Lie algebras Sanderson, On the connection between M acdonald polynomials and D emazure characters , J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:37:15.961701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.857753Z digest=sha256:1ceab722253d8316b99a655e7e9dbe9fbedaafc4aacb22e3b36d74a6c3f2c335

Observation 6bfe3ad3-f6f5-4947-8be8-dcc8e870bed0 · outbound

This paper cites Groups 3 (1998), no.

Level one Weyl modules for toroidal Lie algebras Groups 3 (1998), no

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:37:15.944590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.862808Z digest=sha256:3cf30af0f69e3baec0c568de05ef24cbe679c22953788d5ddcec512ed9883a0d

Observation 623eafa1-69fe-4bd3-9d78-e9417400a7ad · outbound

This paper cites Represent.

Level one Weyl modules for toroidal Lie algebras Represent

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:37:15.928537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:37:15.868287Z digest=sha256:5ee6eff35f0ad75290f088c808802bb33931ff75166175c5841ac9119540f317

Pith citing papers

No inbound Pith citation observations are available.