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Paper Citation Record · LEDGER

Nilpotent orbits of height 2 and involutions in the affine Weyl group

As of 17 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:1908.01337.

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

pith.paper-citation-record.v1
1908.01337 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:24:38.165959Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

31 of 31 outbound references displayed

  • verified exact3
  • verified fuzzy25
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8edae798-3762-467d-a20a-3c9131c1488d · outbound

This paper cites Bender, N.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Bender, N

Reference 1

Resolution
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raw_fallback, observed 2026-08-14T15:24:39.161359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:37.901843Z digest=sha256:9a5baf4b64a5f838b9d55c79cfadcd81388318c1d59eb375c92caaea2f9625a0

Observation 7c92ae70-7d41-460d-af5f-7d0d59458d82 · outbound

This paper cites an unresolved cited work.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Unresolved cited work

Reference 2

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raw_fallback, observed 2026-08-14T15:24:39.120147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:37.911437Z digest=sha256:946d1b854ee06abbd9c705362794006baa12c426a3432f3581b724a4d9cd94cd

Observation 4a5e4ba1-f23c-4632-a207-3535cfd26e8a · outbound

This paper cites an unresolved cited work.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Unresolved cited work

Reference 3

Resolution
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raw_fallback, observed 2026-08-14T15:24:39.087646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:37.918755Z digest=sha256:5928ede5c4cf4d4a6b4201e4ac1fc92df93246df9c56675f4438dddf2a335e95

Observation e5cefd89-ff5d-4ffb-a881-29e0525505fd · outbound

This paper cites Brenti, A.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Brenti, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:39.058104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:37.926784Z digest=sha256:dea7f58f6ee6b52c0f1e2f30617c7c9335cdde861dd26608615079494e80e548

Observation a6a6e5b4-b0d2-45d8-9c95-ad641e38e135 · outbound

This paper cites Brion, Quelques propri´ et´ es des espaces homog` enes sph´ eriquesManuscripta Math.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Brion, Quelques propri´ et´ es des espaces homog` enes sph´ eriquesManuscripta Math

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:39.035790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:37.934848Z digest=sha256:231f754483f0f1ccc11abb2e14ce21c8fdc67f58cb3f0ce5af68438ef24d8acd

Observation f6b3039c-adc7-49e7-877c-bfb884e1ceac · outbound

This paper cites Brion, On orbit closures of spherical subgroups in flag varieties , Comment.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Brion, On orbit closures of spherical subgroups in flag varieties , Comment

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:39.007487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:37.946294Z digest=sha256:6cb59134fa5219ed17e1d2d7638b3b4246948c572735b9786d1b4ece4f3ba7c7

Observation 043eaa8c-1b38-4f75-89bd-2d5314f499c3 · outbound

This paper cites Parametrization, structure and Bruhat order of certain spherical quotients.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Parametrization, structure and Bruhat order of certain spherical quotients

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:24:38.314731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:37.959744Z digest=sha256:ef7725128f9c8a91df0283cde69d9454bab821bb21b96731c726b7c708a27dc5

Observation c3e0dca0-318f-4450-bda3-2c2016f940b9 · outbound

This paper cites Chiriv ` ı, A.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Chiriv ` ı, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.980176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:37.969163Z digest=sha256:7d2b7e2d2611d6e163be4d6c75449190704f20e5291e27e10e18ef3d585e9a3c

Observation ea50bd92-cab8-4709-8670-206e38c5f9db · outbound

This paper cites Collingwood, W.M.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Collingwood, W.M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.934460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:37.976771Z digest=sha256:368bdca448c85fb63e8f496488fa6d95d1e43c74df0d22df792131b26faba92b

Observation f2c0cf6d-830b-4d61-97ae-03a93a3c70ff · outbound

This paper cites The Bruhat order on Hermitian symmetric varieties and on abelian nilradicals.

Nilpotent orbits of height 2 and involutions in the affine Weyl group The Bruhat order on Hermitian symmetric varieties and on abelian nilradicals

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:24:38.272003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:37.983235Z digest=sha256:47dd781e44b4bf8f62636d7b96afd36e09628a734a0d260de174bc02974158a9

Observation 145d36b0-0eda-4e4b-8650-824597201002 · outbound

This paper cites The Bruhat order on abelian ideals of Borel subalgebras.

Nilpotent orbits of height 2 and involutions in the affine Weyl group The Bruhat order on abelian ideals of Borel subalgebras

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:24:38.237722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:37.990328Z digest=sha256:8c2b304a0b23ac5b2029803cc6f4386e5b00f590ba0b3cba381c8a5e7cd22a04

Observation 127309a2-f656-4250-984c-8c5d35a757a3 · outbound

This paper cites Gandini, P.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Gandini, P

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.892039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.000152Z digest=sha256:650851e58e9e8a5774aa9c6b94f56f9e264e69a10359b015d74a13333af8e2ec

Observation 274a3f13-7024-4c46-8257-c288460ca677 · outbound

This paper cites Hesselink, The normality of closures of orbits in a Lie algebra , Comment.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Hesselink, The normality of closures of orbits in a Lie algebra , Comment

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.867130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.006695Z digest=sha256:c4fc9e7f849e5653f6f836b85242a028a4c219859cf8f19f2ccd8a1c2f5da116

Observation 4cd31efa-ce37-464e-ba63-2a2e70bbf5d3 · outbound

This paper cites Ignatyev, Combinatorics of B-orbits and Bruhat-Chevalley order on in volutions, Trans- form.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Ignatyev, Combinatorics of B-orbits and Bruhat-Chevalley order on in volutions, Trans- form

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.843277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.013026Z digest=sha256:32193adc5a1bd144779858fe4c31d5f0b229d3e2cb365de6ce41df96f41075df

Observation 7a0fbc02-a8eb-4764-ada4-754acca7c4a2 · outbound

This paper cites Ignatyev, The Bruhat–Chevalley order on involutions of the hyperocta hedral group and combinatorics of B-orbit closures , J.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Ignatyev, The Bruhat–Chevalley order on involutions of the hyperocta hedral group and combinatorics of B-orbit closures , J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.812985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.020916Z digest=sha256:6abea1d0727e30f257dfa7d9d6f1cf4f55179c5e5463198f30dce8487beed3c7

Observation d025c848-69c0-4bbe-8fe1-9d15b81f9a4e · outbound

This paper cites Ignatyev, On involutions in the Weyl group and B-orbit closures in the orthogonal case, in: M.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Ignatyev, On involutions in the Weyl group and B-orbit closures in the orthogonal case, in: M

Reference 16

Resolution
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raw_fallback, observed 2026-08-14T15:24:38.789064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.028297Z digest=sha256:0acbace86b31a22186e2c8907f594368a5519da2ed6cbbc4b2f18e839dbfd3f3

Observation d2fc608c-51f4-4831-8bc9-8e98c99d3d2e · outbound

This paper cites an unresolved cited work.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:24:38.759392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.035684Z digest=sha256:ba60b7075477e429dc3002b3bfd38690e50aba50c25120c6a947d13618ab1a77

Observation 3fedcde8-c2b8-405d-8c4b-53469a8c4fbe · outbound

This paper cites Kumar, Kac-Moody Groups, Their Flag Varieties and Representation Theory, Progress in Mathematics 204, Birkh¨ auser, Boston, 2002.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Kumar, Kac-Moody Groups, Their Flag Varieties and Representation Theory, Progress in Mathematics 204, Birkh¨ auser, Boston, 2002

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.727216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.041677Z digest=sha256:3bad67a8f383149e31bc4f1e9b431645e94ece9fecfc1ce0e87d3f766221c4f2

Observation fe39c650-aab7-481e-8be5-2a9e5ac577ea · outbound

This paper cites Melnikov, B-orbits in solutions to the equation X 2 = 0 in triangular matrices , J.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Melnikov, B-orbits in solutions to the equation X 2 = 0 in triangular matrices , J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.696746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.048962Z digest=sha256:02e868a0f049a4bdaf17993002caf044934599a4351a8ad554c4f15a5a848242

Observation ff36a0b0-fbe2-403f-910a-4021bc163d41 · outbound

This paper cites Melnikov, Description of B-orbit closures of order 2 in upper-triangular matrices , Trans- form.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Melnikov, Description of B-orbit closures of order 2 in upper-triangular matrices , Trans- form

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.668122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.055132Z digest=sha256:c1bdbfa9ed042b531ed966d8afff6a872e8840762674d5a60c38cb2bd38a0c56

Observation dc8356ab-6437-4713-a870-faf2e17148b2 · outbound

This paper cites Melnikov, B-orbits of nilpotency order 2 and link patterns , Indag.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Melnikov, B-orbits of nilpotency order 2 and link patterns , Indag

Reference 21

Resolution
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raw_fallback, observed 2026-08-14T15:24:38.628446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.064584Z digest=sha256:acd510badec5f66c44253fa4c499ef4afc0638990e2d68b9dde6c4252e6ff26d

Observation 2a7676f9-68c0-4919-b592-73d039c423cd · outbound

This paper cites Muller, H.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Muller, H

Reference 22

Resolution
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raw_fallback, observed 2026-08-14T15:24:38.596599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.079452Z digest=sha256:4b3ad3e9ca104c96d73ba24a7fed2c42a3c27042021c32766ceb23382bf8dff8

Observation 085e1318-0bea-496f-9692-bf3ef0e531b6 · outbound

This paper cites Panyushev, Complexity and nilpotent orbits , Manuscripta Math.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Panyushev, Complexity and nilpotent orbits , Manuscripta Math

Reference 23

Resolution
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raw_fallback, observed 2026-08-14T15:24:38.571205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.091690Z digest=sha256:cd14548c898f4d98ac2ce6681a415927fd0de8d2f55eee039132956454fbb6d8

Observation 14d4c886-dca6-473e-80fd-c23025cbd695 · outbound

This paper cites Panyushev, Parabolic Subgroups with Abelian Unipotent Radical as a Tes ting Site for Invariant Theory , Canad.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Panyushev, Parabolic Subgroups with Abelian Unipotent Radical as a Tes ting Site for Invariant Theory , Canad

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.542219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.105588Z digest=sha256:6a03464b146c09e98c8714d2f2822f77f2e6005c20503a0e005370c0d6857be6

Observation 668a8d3e-62a5-4ac1-8464-6966ec8c8e9c · outbound

This paper cites Panyushev, On spherical nilpotent orbits and beyond , Ann.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Panyushev, On spherical nilpotent orbits and beyond , Ann

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.514543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.114697Z digest=sha256:01c9e91aa318eb669c7e8d8ab1a7411e9b052d6825b30a09860196500d19ba0a

Observation 422df61c-4aba-44ac-83c1-ecbdb92ca01a · outbound

This paper cites Panyushev, On the orbits of a Borel subgroup in abelian ideals , Transform.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Panyushev, On the orbits of a Borel subgroup in abelian ideals , Transform

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.488352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.121134Z digest=sha256:7d5f856de68066af0945d28bfaf7909398cc61306aa26eebbd929b19c7f56767

Observation 047c7b5e-de29-4b3c-af98-d65ac94fa000 · outbound

This paper cites Panyushev, G.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Panyushev, G

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.460437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.126857Z digest=sha256:72bd18cab3945604e8c0ff77c94f92dcea2635a3bde86d49bac683df4aeef9b6

Observation 3e7fac84-012e-425d-9f9d-7cc3d3ad93d3 · outbound

This paper cites Richardson, G.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Richardson, G

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.432926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.141436Z digest=sha256:781bdb14c082ba64c16eefc91e1fdc8e14cec923d7cc2389987c1015d67b47ce

Observation 43b0afdc-2db1-4588-b325-4b7b16ee509a · outbound

This paper cites Richardson, T.A.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Richardson, T.A

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.404583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.149017Z digest=sha256:d56c3da36c44564b5aa9c0a8845d79afafc0995fca818511bdd1ec7b64c49e81

Observation a1466d23-aa82-4bb4-b4ae-29081d0d94cf · outbound

This paper cites Springer, R.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Springer, R

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:24:38.367562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.159198Z digest=sha256:5a0264166ae2bf8fcdb2b943fb90283a541140072484e854cc948b76455908ed

Observation 698f0ff6-6de1-4670-bd04-7ed1e2133966 · outbound

This paper cites Vinberg, Complexity of actions of reductive groups , Funct.

Nilpotent orbits of height 2 and involutions in the affine Weyl group Vinberg, Complexity of actions of reductive groups , Funct

Reference 31

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raw_fallback, observed 2026-08-14T15:24:38.346419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:24:38.165959Z digest=sha256:18b88d561e9778e64a1abb1cf9357c701654eedf79eb69d1c210cc498b6d91b8

Pith citing papers

No inbound Pith citation observations are available.