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Paper Citation Record · LEDGER

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

As of 16 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 2026-08-16T06:30:59.297886+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

31 of 31 outbound references displayed

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  • 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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:37.901843Z digest=sha256:d8bfdf7ef6c75e6784cfe99c304f5746c11e22989fe8233cdbde633186b7d262

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

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

source=pdf_text observed=2026-08-14T15:24:37.911437Z digest=sha256:9f48f41eb16e77f36f2e5854ab593dae63171885d6947c0021478ccb28d0860e

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

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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:37.918755Z digest=sha256:285f750ecf604d6a8d1032e6f4b5540362a6882efebe8288d869967b6154f6b2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:37.926784Z digest=sha256:e780b596172a7259e215c876cb1656f7c89575fe8a62318358b93a265d3cd9ca

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:37.934848Z digest=sha256:60e308048bac7dc54d08e98b784f694ba2907cfde257c852e8b37d7e649c14ab

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:37.946294Z digest=sha256:ef70b93226b50e9def2ef6e9acd5c3e70ba4d11bfea06d5d460db1cbce96bfb9

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
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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:37.959744Z digest=sha256:6f55bb3340af2f3632badf3be449c06b47c17fc82088437d62847e2cddd63107

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:37.969163Z digest=sha256:fde4bdd52f6cbe425bbd8371ab4d632a8393a2d60f872b4dea16678424b53362

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:37.976771Z digest=sha256:40b8ea32cadbbf9a7128a57e88e6b388abaf8fbb30463f90cc09784c9885fef1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:37.983235Z digest=sha256:f7dcb9f85f4ba3a5dcaea4ef81ec2e0e15846e58f4e239ed3d67a753081e43ac

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:37.990328Z digest=sha256:9d23258aeb29df442d901b65e9c76dfca1301da847988624694e8a86b64228dc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.000152Z digest=sha256:115a779060b2cebdedc9e86d99fbb4ce214b2eff25e2da552a00c337a9b822ee

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.006695Z digest=sha256:63a03647403aaf51d960e313e069dcf26ba247c1217c4816f5731c147d73b003

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.013026Z digest=sha256:0b4ac30715f8cafc6408994e77342c580f3717fe8e123a6c80d543d5602fb385

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.020916Z digest=sha256:8e3028185f71a2e4dec468751551dec1ea91a019b8100cf3199f205bb5c69bbd

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.028297Z digest=sha256:099730bffe009e2fa8c43b7ea269c79bbebb3b01c542bd3b1fc826307aa10a50

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.035684Z digest=sha256:c4e94f42b477e34f7a50a8c51845f345b295dc0bf819f1533938bdffdd598eb7

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
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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.041677Z digest=sha256:87e8227029e88d08369a093f5c5ceffa7f7d410bdc198ee8692f819f74d587e8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.048962Z digest=sha256:6bf427af92210579a830c5bc3fc35804388ae7fd010a8282943fc3a9ce22d743

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.055132Z digest=sha256:a63aad06cc92e3ef44f2ab960c04dc7130ab7cc23fc22ed2caa5452291057690

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.064584Z digest=sha256:64517416667fde15a20d72f4e58599d0fcc5580a1574dcd5a72f08ad6aed54da

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.079452Z digest=sha256:3d422d4541526012cc22d6c5f0e5cec06d52e08b7af112d19fc8e691e700db48

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.091690Z digest=sha256:4fb1468a678e8e60f65cd6d344fba361cee7ac26098ff82c1afe8a7d8d4e106d

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
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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.105588Z digest=sha256:4ec40490050a29d43d3308b90fb00cb7968b2b8ad0648e96618c83845c51a519

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.114697Z digest=sha256:fa098a6313608fe1cf08e00d3c9015cee998fc1efaec03f1c2dc1504362e90da

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.121134Z digest=sha256:16a3dfef5f3a455bb67c3ba5ee55d360a8fd4f616c9672afb7dcf9c4fc9d4d23

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.126857Z digest=sha256:5f501d84744c29dfae98a018839e20da8c24b39a554d2f5a7251b3d878fd90cf

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.141436Z digest=sha256:1875146bcf388b7e039da36846711d0cc7fdcf1e85c20b7ba91332922d00440e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.149017Z digest=sha256:f122a1e939530c01cd397cea2812d654b9b5a7c268b327fda8654665847a8805

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.159198Z digest=sha256:d174cbc974f1d15a1ad1f133df7f86211585ce9680223acad36ab1cfc3e07067

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

Resolution
verified fuzzy
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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:24:38.165959Z digest=sha256:3bec10787df20ef01a091c30a2b8becf6d504356a9bef252891026574862613f

Pith citing papers

No inbound Pith citation observations are available.