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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=sha256:5cc67198768ee31d604e7b41bbbac724f388bde009a7d538c3474359046c883c

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:ec22bb2a33d58797656b010b37dfa0c5646e5d375ac357b151e4f6bab1903168

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=sha256:04693d4c12c6d236cc40d761e7653854ba04dde1218f1b4e2dd9f089a92efb1e

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=sha256:85c2947a87630e7e2c16f02d3f29a47ed3debb18436f2536601be6c2195a7368

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=sha256:933efa6ce15a27d7c4d0ce04c0cb30d9b6ad1233113fb03ae35273b1675f523d

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:c7409884c13a95a1a40b4c9cf8b122571480196870e955fcebffafa637db8a74

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=sha256:27e632222c96fb81e679ec7aed62c66ab016e515cf1a05ceecb55c8f9e5d77a2

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=sha256:063d772fa2b2731bceec1efb476f7f43ed7d1fb65f246e8feb91a9fa34c3bbeb

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=sha256:9b949a38a49d620ccb28bb2c6ad80d5eea13c5acc116109a4fc837dc2de2ce52

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:b34ac00be258d0825d32a2c60815bc61b08e3496d85e4cf0a7fb5ab47dae9a85

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=sha256:2f58cdab77378a804f3a27453054e3e2e92bcee39455c81fe84642a20693a521

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=sha256:52a345ecac0e91e3c67b22a45cf7e9e800b95f8b59e7c2bec9fc1c8d7cb4c6c1

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=sha256:8a7c9149dc1eef2340daf2563da8819765ca8f3708ed131c281c4c7feb891b5f

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=sha256:9f37f2407b428364ef479be1ca58ad40e9660ab8ff416da032151553a0635feb

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:eff7e3eb9c8304d2367975064c08216a0e581b6c2972715404a43dbc2ae9952e

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:ea1843883ae07f92493eb61f7c01c8b62876b5ca0b55d7f787a459f87bfe06cb

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=sha256:056d0fb55ba23dcbadbb70fad440180fa36745a3ac653b70c448d88cf4671644

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:f37e7f12a99a68296b7e12ab76ddc4d4170729a929c17fcf572adb6dee39fdf0

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:d39f21276d3a9e68ff4670502affdb576b301d311167b0d52f44f9ba6956e7ab

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=sha256:9c38052dcd3e9f4da526cbf412ede0bb94971b2a20b1958ea75236c10fe9eb87

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=sha256:995165e8f47e854dc722a2574848f48f3da76ffa182fae3c9e28dc970a3769e2

Pith citing papers

No inbound Pith citation observations are available.