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Paper Citation Record · LEDGER

Enumerating matrices with prescribed entries in an adjoint orbit

As of 21 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2606.27497.

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pith.paper-citation-record.v1
2606.27497 v1

Coverage vector

measured 46 of 46 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-29T01:47:28.584758Z

measured 46 of 46 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

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Reference resolution

46 of 46 outbound references displayed

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Outbound references

Observation fd59e336-02a6-4ed5-8aed-1b451e178b68 · outbound

This paper cites Abreu, A.

Enumerating matrices with prescribed entries in an adjoint orbit Abreu, A

Reference 1

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:6e180ed5f23d92f335b2df217fa0e48ec0770d22c3e1fa410531aeedb5dc8953

Observation 1d306ce7-10fc-4f06-a1c5-46ac45ed837d · outbound

This paper cites Splitting subspaces of linear operators over finite fields.

Enumerating matrices with prescribed entries in an adjoint orbit Splitting subspaces of linear operators over finite fields

Reference 2

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Observation 43688fdf-89f9-4f3d-9996-02d63eaebc4e · outbound

This paper cites Enumerating partial linear transformations in a similarity class.

Enumerating matrices with prescribed entries in an adjoint orbit Enumerating partial linear transformations in a similarity class

Reference 3

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Observation 2182db91-7446-4c04-a5a9-ab3f47a2c3a2 · outbound

This paper cites Unimodular polynomial matrices over finite fields.

Enumerating matrices with prescribed entries in an adjoint orbit Unimodular polynomial matrices over finite fields

Reference 4

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Observation 64045989-c3f4-42ce-bfb3-756df0082919 · outbound

This paper cites Bardestani, K.

Enumerating matrices with prescribed entries in an adjoint orbit Bardestani, K

Reference 5

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:ba7df5bf43f096179cbd03e1091bd8ea7fb99988975e12af1ab2b866b686e3c1

Observation e2f3d697-0baa-409b-bfb7-c93233b6b36a · outbound

This paper cites Enumeration of subspaces by dimension sequence.

Enumerating matrices with prescribed entries in an adjoint orbit Enumeration of subspaces by dimension sequence

Reference 6

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:e1bd4b9ef05a3dc49d242cb13e5073d1401dd113c7fec492ff72004194b9bcc7

Observation b0103bd2-9233-4062-a8f9-d37e7176951e · outbound

This paper cites Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties.

Enumerating matrices with prescribed entries in an adjoint orbit Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties

Reference 7

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Observation f1b2d9c7-ceff-4707-960f-cb06ee32df01 · outbound

This paper cites Subgroup lattices and symmetric functions.

Enumerating matrices with prescribed entries in an adjoint orbit Subgroup lattices and symmetric functions

Reference 8

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Observation 9af15e83-104d-4c62-86cf-277295a9cd23 · outbound

This paper cites The splitting subspace conjecture.

Enumerating matrices with prescribed entries in an adjoint orbit The splitting subspace conjecture

Reference 9

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Observation 2f34d914-4e31-4e7b-88ff-e92a94d1fd1f · outbound

This paper cites Hessenberg varieties.

Enumerating matrices with prescribed entries in an adjoint orbit Hessenberg varieties

Reference 10

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Observation 97b96449-38be-49ec-9140-caa5947782d8 · outbound

This paper cites Fonctions de M¨ obius sur les groupes abeliens finis.

Enumerating matrices with prescribed entries in an adjoint orbit Fonctions de M¨ obius sur les groupes abeliens finis

Reference 11

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Observation b88546fa-1f42-4eb7-afe7-e6078da0b6ca · outbound

This paper cites On the number of subgroups of a finite abelian group.

Enumerating matrices with prescribed entries in an adjoint orbit On the number of subgroups of a finite abelian group

Reference 12

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Observation f8e84b1a-3582-4aa2-b63f-ef8d1b59d56d · outbound

This paper cites The number of solutions ofX 2 = 0 in triangular matrices over GF(q).

Enumerating matrices with prescribed entries in an adjoint orbit The number of solutions ofX 2 = 0 in triangular matrices over GF(q)

Reference 13

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Observation 9f6a2ba1-a958-4992-97bd-2d217454c5b1 · outbound

This paper cites Transitivity in finite general linear groups.

Enumerating matrices with prescribed entries in an adjoint orbit Transitivity in finite general linear groups

Reference 14

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:da6a1c534685f0f71cbbcac5be267db9fb20bb3ce0e90f9363927744eb9a4daf

Observation 369ec753-27a6-4893-bbcf-a16d4dc98d0f · outbound

This paper cites Jordan types of triangular matrices over a finite field.

Enumerating matrices with prescribed entries in an adjoint orbit Jordan types of triangular matrices over a finite field

Reference 15

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:7f1022ba25ae7fa600e222011e5b13ac28b6396a0d24727d49f706edf1a7c030

Observation 2767954e-9ced-4baa-a468-69fe7be3e436 · outbound

This paper cites A unipotent realization of the chromatic quasisymmetric function.

Enumerating matrices with prescribed entries in an adjoint orbit A unipotent realization of the chromatic quasisymmetric function

Reference 16

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:9363d2bd96a0c05cd04fa54fcd65b67f79579d8f4a95655da0205b8e5146f504

Observation bcf04511-ad72-41f3-900b-70d58f1065cd · outbound

This paper cites On the number of nilpotent matrices with coefficients in a finite field.

Enumerating matrices with prescribed entries in an adjoint orbit On the number of nilpotent matrices with coefficients in a finite field

Reference 17

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:b2b8f27a595929ab3dfad73628a238ad3e5db27faa25e039322e7fe87b865400

Observation 442c6e6a-d721-462e-9a9d-328e0b525cae · outbound

This paper cites Block companion Singer cycles, primitive recursive vector sequences, and coprime polynomial pairs over finite fields.

Enumerating matrices with prescribed entries in an adjoint orbit Block companion Singer cycles, primitive recursive vector sequences, and coprime polynomial pairs over finite fields

Reference 18

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:a912478948e1feccb55a14deb118f901a510b6c09109913436ce75a7fdbca954

Observation 500c7b17-e3af-47ea-9141-982aabd77b8c · outbound

This paper cites Enumeration of splitting subspaces over finite fields.

Enumerating matrices with prescribed entries in an adjoint orbit Enumeration of splitting subspaces over finite fields

Reference 19

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Observation dab886a3-39b6-4b28-a644-ee581e63a062 · outbound

This paper cites Gohberg, P.

Enumerating matrices with prescribed entries in an adjoint orbit Gohberg, P

Reference 20

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Observation abd8ece7-0685-4b6b-b9c1-d8a973db01ee · outbound

This paper cites Gohberg, M.

Enumerating matrices with prescribed entries in an adjoint orbit Gohberg, M

Reference 21

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Observation 4aaf4ca5-23d6-4bdc-a43e-89c4ce19b2ae · outbound

This paper cites The characters of the finite general linear groups.

Enumerating matrices with prescribed entries in an adjoint orbit The characters of the finite general linear groups

Reference 22

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:f2158896da39a361ba9165d4e23ee66bbc5c208f251e15eeebd43219bc9d7c9a

Observation f733a084-ca8f-4817-9060-6d0c634c7b23 · outbound

This paper cites q-rook polynomials and matrices over finite fields.

Enumerating matrices with prescribed entries in an adjoint orbit q-rook polynomials and matrices over finite fields

Reference 23

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:5727b330b8efba511b2e2d1ad9f9debcb3c4c21e44bdf67c514d314227ffd6fa

Observation a040595f-3010-4b87-9abe-7b702a4e0531 · outbound

This paper cites The irreducible representations of the finite general linear groups.

Enumerating matrices with prescribed entries in an adjoint orbit The irreducible representations of the finite general linear groups

Reference 24

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Observation 2296debf-1397-4a77-88b7-8dc755db5970 · outbound

This paper cites On a remarkable sequence of polynomials.

Enumerating matrices with prescribed entries in an adjoint orbit On a remarkable sequence of polynomials

Reference 25

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Observation d5de9178-5c35-48c9-994e-4fd6a3ab1eb2 · outbound

This paper cites Counting matrices over finite fields with support on skew Young diagrams and complements of Rothe diagrams.

Enumerating matrices with prescribed entries in an adjoint orbit Counting matrices over finite fields with support on skew Young diagrams and complements of Rothe diagrams

Reference 26

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Observation b9710d2d-e694-42fe-a921-79ed252a5a60 · outbound

This paper cites Sur une conjecture de H. O. Foulkes.

Enumerating matrices with prescribed entries in an adjoint orbit Sur une conjecture de H. O. Foulkes

Reference 27

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Observation f0abad8d-06d9-4f9d-bf71-dab2c715c656 · outbound

This paper cites Matrices with restricted entries andq-analogues of permutations.

Enumerating matrices with prescribed entries in an adjoint orbit Matrices with restricted entries andq-analogues of permutations

Reference 28

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Observation 2278a4c1-2e05-4ec5-a037-e11bb5e8122c · outbound

This paper cites Green polynomials and singularities of unipotent classes.

Enumerating matrices with prescribed entries in an adjoint orbit Green polynomials and singularities of unipotent classes

Reference 29

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Observation cf543279-d0ff-4025-abdb-0a897fc34d08 · outbound

This paper cites an unresolved cited work.

Enumerating matrices with prescribed entries in an adjoint orbit Unresolved cited work

Reference 30

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:bbb73a55393e0b27d9b1b0556341dc12aa24f7334f4cb5f94227f18471d3536e

Observation 2ebe571a-81fc-4c2c-9996-a63bda043be2 · outbound

This paper cites The multiple-recursive matrix method for pseudorandom num- ber generation.

Enumerating matrices with prescribed entries in an adjoint orbit The multiple-recursive matrix method for pseudorandom num- ber generation

Reference 31

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:045381da115a9f82a41d73cea5a36155043b51a06620271d4d1fb9263e7188e4

Observation 8dda41b9-43f1-43af-be6f-b24d94be5675 · outbound

This paper cites Enumeration of anti-invariant subspaces and Touchard’s formula for the entries of theq-Hermite Catalan matrix.

Enumerating matrices with prescribed entries in an adjoint orbit Enumeration of anti-invariant subspaces and Touchard’s formula for the entries of theq-Hermite Catalan matrix

Reference 32

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:7c5ee721c1f7f57a31fbf050f4c256345ef159cbf22192780a0c8c7600c079e0

Observation 271d5bcf-3d70-4b81-921e-ad146896048b · outbound

This paper cites Set partitions, tableaux, and subspace profiles under regular diagonal matrices.

Enumerating matrices with prescribed entries in an adjoint orbit Set partitions, tableaux, and subspace profiles under regular diagonal matrices

Reference 33

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Observation c401ec46-256d-483e-a880-55bcf59174aa · outbound

This paper cites Splitting subspaces and a finite field interpretation of the Touchard-Riordan formula.

Enumerating matrices with prescribed entries in an adjoint orbit Splitting subspaces and a finite field interpretation of the Touchard-Riordan formula

Reference 34

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Observation 2c12341b-a12a-4e66-92be-f0ae340ec7c3 · outbound

This paper cites Simple operators and $q$-Whittaker coefficients of power sum symmetric functions.

Enumerating matrices with prescribed entries in an adjoint orbit Simple operators and $q$-Whittaker coefficients of power sum symmetric functions

Reference 35

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:aa187cc8a0daa2cfea85f92b9ff7aae608c59abe42b7621777bea5b5ab4a8b3f

Observation a0a81909-3a3d-47a0-912a-fc42646335af · outbound

This paper cites Subspace profiles over finite fields andq-Whittaker expansions of sym- metric functions.

Enumerating matrices with prescribed entries in an adjoint orbit Subspace profiles over finite fields andq-Whittaker expansions of sym- metric functions

Reference 36

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:6b800ef297ede2891ca649e16415d1ddf5ea11c5cdf16f33f0ac5aabd8313cd3

Observation 310a3993-22f6-4105-bc6b-d53ab0a5343e · outbound

This paper cites Diagonal operators,q-Whittaker functions and rook theory.

Enumerating matrices with prescribed entries in an adjoint orbit Diagonal operators,q-Whittaker functions and rook theory

Reference 37

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Observation c6278bbd-fa72-4036-86b9-228a15e648fb · outbound

This paper cites On the number of matrices with given characteristic polynomial.

Enumerating matrices with prescribed entries in an adjoint orbit On the number of matrices with given characteristic polynomial

Reference 38

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Observation adf6dc04-b5b6-4157-bfb6-af0a995e587a · outbound

This paper cites Chromatic quasisymmetric functions.

Enumerating matrices with prescribed entries in an adjoint orbit Chromatic quasisymmetric functions

Reference 39

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:be1bd0d343103372d83743894d9446369ae45550718cdfa4606b1be62694899f

Observation 7df46d18-ae79-416a-98cb-3f34612d7e87 · outbound

This paper cites A symmetric function generalization of the chromatic polynomial of a graph.

Enumerating matrices with prescribed entries in an adjoint orbit A symmetric function generalization of the chromatic polynomial of a graph

Reference 40

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Observation 28703018-ccab-4240-8f28-80e57ae9caeb · outbound

This paper cites an unresolved cited work.

Enumerating matrices with prescribed entries in an adjoint orbit Unresolved cited work

Reference 41

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:00af33ca0f25dcd7fdae79b4cac40faaa3024e04c1afe6690f639dd6abf13898

Observation 68d475b9-6732-4fcc-ae11-62fefc45e9d1 · outbound

This paper cites an unresolved cited work.

Enumerating matrices with prescribed entries in an adjoint orbit Unresolved cited work

Reference 42

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:b735fe87dc46c8f50da84e12a5cc6930b153c634323c6aa06661a1f089d8ecf5

Observation fcc66ea2-72dc-4ecf-b507-9b88fc74e882 · outbound

This paper cites Counting points on varieties over finite fields related to a conjecture of Kontsevich.

Enumerating matrices with prescribed entries in an adjoint orbit Counting points on varieties over finite fields related to a conjecture of Kontsevich

Reference 43

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:7bef2d36bd28df2999f5faa08f11ff8929c67d0fbb02a96de53a44eaeea65c43

Observation 80da5044-77e3-46fb-a20a-efd46b2a9528 · outbound

This paper cites Linear conditions imposed on flag varieties.

Enumerating matrices with prescribed entries in an adjoint orbit Linear conditions imposed on flag varieties

Reference 44

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:2d72c9cfbe261cbc639591429794790e6deebb9967b068d64bacb87d165a10b2

Observation d6882438-e07f-469f-9cff-5876474daaab · outbound

This paper cites On prime power Abelian groups.

Enumerating matrices with prescribed entries in an adjoint orbit On prime power Abelian groups

Reference 45

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:c56acfd315e58b933df61f6de2a055e3b4b5875377efebafea02bceb9cae030b

Observation 6755a0b6-9fd9-4414-98d8-896c9fd41f4c · outbound

This paper cites Rook placements and Jordan forms of upper-triangular nilpotent ma- trices.

Enumerating matrices with prescribed entries in an adjoint orbit Rook placements and Jordan forms of upper-triangular nilpotent ma- trices

Reference 46

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source=pdf_text observed=2026-06-29T01:47:28.584758Z digest=sha256:f2554041ddd50fb7dc453bc1caa14e18ae393041cf479cb2ddb9d793729ca108

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