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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

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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

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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=sha256:5e55d139d52bae9ecba22c228da4b55f6ba4ba8c0fecc519bd49d65f14eae733

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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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:aca298362d483e396ff04ed561ddfd30f18755ae98e8915596edc6da0f510527

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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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=sha256:72a3831266818840e77fc71efc6a8210af18313165549377dd211478887f3395

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
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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:b1e6c4974d509e10f31618781c66975a33700ae586583a5af1d0c76f00c4b3bd

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

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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=2026-08-14T15:24:37.934848Z digest=sha256:865c5430aa2f055e569df5b3795de2bbeab16c145671b6933d18d6a745954ff9

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
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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=sha256:9c7797afa9029ab3ec80b5eb2b94ff56cc8279ec2634688dce7082b837b04884

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

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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:a338eb4a5d49b481a6a20cd922a91b8049d04adcf9a23fc98004aaf356c92495

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
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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=sha256:9c5e2c4573cf13e4333004b778dc02c8984670c5d918e7d77597ae4f99ed93ee

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=sha256:1fd3905f86e04f2aac7817279b54445335051ee35477694959df1b3ac9f52552

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
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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:cd84166bbe7a6a597f90f8b6f3c8645c96eb2343a9866e5cf678ad227b0c64c9

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
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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=sha256:2fd8715638b66fedd0a67a2be6054168ce79de8b520fc18e0d7336b80e752efa

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
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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=sha256:83853b1c38dd5bf88c20816862d88a20d8a295902db961ba2a815d392195fcf7

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
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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=sha256:5d855d8c64a2a0f63ecbd0e0d2e7cc7aa14eb7f9d566108490ab8bf4a19db6d6

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
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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=sha256:43850e5027dd63d933cbc59037368c75adce6fb34ef6dff28df7e13eeb50fd2d

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=sha256:92b2fa97766f5ce0a0bcba84d19554323572fbd916643df7ca1dea7e90c8462a

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=sha256:0180c72690b5c92fe242b2f346d5957a668350644d59ad7a3f1ebfe693fb2a91

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

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

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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=2026-08-14T15:24:38.035684Z digest=sha256:020b463395500998c660a33e05deea7a4045ea165ab4a9d35eecc81c2d0bd9f7

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

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

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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=2026-08-14T15:24:38.041677Z digest=sha256:5d67d31a4aa3759f5cc693740f73bc206d08caf7d1ee375727e8e6150ddf41c6

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=sha256:6d6cc290309239ff6c4040ab370a370457c8f9bb22187bfc5cfd90d5210351c2

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=sha256:21c523d2611d138e58dc3da3983db31729ba1f864c9f151bd0951c9bbd238ed3

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

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

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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=2026-08-14T15:24:38.064584Z digest=sha256:cf78c727c198e3fed67cb3f15918f1d3aa9a2fb6d7b7aeee156a62e2418d9c6f

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

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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=2026-08-14T15:24:38.079452Z digest=sha256:175f8ad432a9b5aaf342b976eb75e226b0e4a65af04694976f00f2e722a06c75

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=sha256:77f272f3bdcae51e75f0474223973c34653a5ac54d2db66293691a98eafd13b4

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

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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=sha256:0e688b8ba31a2647a4c9093828263ea40773a0cdb73b4f9bc9a1881a18685085

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

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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=sha256:77f609f177d961ed4a41e4f0ba8cabf6327593f38ed82e039929bc0e0fb15a4d

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

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

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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=2026-08-14T15:24:38.121134Z digest=sha256:f792ede1e310466a45cf57764aaebd9166439fb3e011af3b1f1308be67da8997

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=sha256:78489340ddf8acd8bdfdcb4a91928ff999d9deb92122eb66cd26063dc96b1436

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
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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:c699d9e18f0b00363bbb90534d87aa2b9afb0ee2f1ac6391935db5ebaf17503d

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=sha256:5f2709d1b02ce015c07f9c0c624c2f58fbe7238d955ca56eb0ea09be8f6efa8c

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:d42a4171a24631052eb1ac4e80d4fba8b8c1d362473ec41024b0b42bbbb3361e

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

source=pdf_text observed=2026-08-14T15:24:38.165959Z digest=sha256:94d7e78abb5de40fb5959e78760706df0805b4d785331ca3146fa681a1045b1e

Pith citing papers

No inbound Pith citation observations are available.