Paper Citation Record · LEDGER

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups

As of 24 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2608.00470.

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

pith.paper-citation-record.v1
2608.00470 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:30:35.260829Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

25 of 25 outbound references displayed

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verified fuzzy19
unresolved6
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External citation measurements

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Outbound references

Observation 9e66e778-12f7-4386-aa33-eb190c9c5b92 · outbound

This paper cites Abe, Explicit calculation of Frobenius isomorphisms and Poincar\'e duality in the theory of arithmetic D -modules , Rend.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Abe, Explicit calculation of Frobenius isomorphisms and Poincar\'e duality in the theory of arithmetic D -modules , Rend

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.618801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 70e2896b-1409-4664-9507-c452ad964366 · outbound

This paper cites Abe and D.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Abe and D

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.604672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6080485b-fab6-4548-9860-2f5e65ea25b7 · outbound

This paper cites Berthelot, Cohomologie rigide et cohomologie rigide \`a supports propres.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Berthelot, Cohomologie rigide et cohomologie rigide \`a supports propres

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.591312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 167dc112-9a84-4ac1-923a-ae3d9c42dccb · outbound

This paper cites Berthelot, Cohomologie rigide et th\'eorie des D -modules , in: p -adic Analysis (Trento, 1989), Lecture Notes in Math., vol.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Berthelot, Cohomologie rigide et th\'eorie des D -modules , in: p -adic Analysis (Trento, 1989), Lecture Notes in Math., vol

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.577450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 02ff0155-387e-487c-ab3a-7b878318de94 · outbound

This paper cites Berthelot, D -modules arithm\'etiques.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Berthelot, D -modules arithm\'etiques

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.563968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d5743367-f198-42f1-b51f-3f30868648a3 · outbound

This paper cites Berthelot, D -modules arithm\'etiques.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Berthelot, D -modules arithm\'etiques

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.550639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e20b0eac-9ce8-48c5-b573-38b22c43ff48 · outbound

This paper cites Bosch, U.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Bosch, U

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.537304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation af062d68-1045-4e81-8d27-24348b44fd0c · outbound

This paper cites Brion and S.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Brion and S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.522624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c329ff81-d57f-4c7f-8391-3d1344668761 · outbound

This paper cites Caro, Fonctions L associ\'ees aux D -modules arithm\'etiques.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Caro, Fonctions L associ\'ees aux D -modules arithm\'etiques

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.508859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3cfb0372-43f7-43b3-83bd-f0af33e320a8 · outbound

This paper cites Caro, D -modules arithm\'etiques surholonomes , Ann.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Caro, D -modules arithm\'etiques surholonomes , Ann

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.495051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c1614f8b-7655-4ba3-ac58-e7de9070377d · outbound

This paper cites an unresolved cited work.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:30:35.480732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9271dad2-d4e8-4249-8992-f67f936b085c · outbound

This paper cites Conrad, Grothendieck Duality and Base Change, Lecture Notes in Mathematics, vol.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Conrad, Grothendieck Duality and Base Change, Lecture Notes in Mathematics, vol

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.466100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1ca72fe9-9653-4f4b-b81b-cc122ce8553a · outbound

This paper cites Hypergeometric $\mathcal D$-modules and exponential sums for reductive groups.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Hypergeometric $\mathcal D$-modules and exponential sums for reductive groups

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T15:30:35.210035Z

Source-reported events for the cited work

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Observation 35511f21-05ef-4b46-92ce-aa7f076b62f4 · outbound

This paper cites an unresolved cited work.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:30:35.452135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e04b2a98-73cf-48fb-ac84-71d075c27b23 · outbound

This paper cites Grothendieck, \'El\'ements de g\'eom\'etrie alg\'ebrique.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Grothendieck, \'El\'ements de g\'eom\'etrie alg\'ebrique

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.438707Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bb79916a-d8b0-4c59-873a-7af678d5bc1b · outbound

This paper cites Grothendieck, \'El\'ements de g\'eom\'etrie alg\'ebrique.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Grothendieck, \'El\'ements de g\'eom\'etrie alg\'ebrique

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.425010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 73c17240-c4b7-4ae0-9343-8f6e339220da · outbound

This paper cites Monsky, p -adic analysis and zeta functions, Lectures in Mathematics, Kyoto University, Kinokuniya Book-Store Co.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Monsky, p -adic analysis and zeta functions, Lectures in Mathematics, Kyoto University, Kinokuniya Book-Store Co

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.411280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 911bd66e-646a-4581-850b-44007e1f498a · outbound

This paper cites Hartshorne, Algebraic Geometry, Springer-Verlag (1977).

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Hartshorne, Algebraic Geometry, Springer-Verlag (1977)

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T15:30:35.231984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcd77056-8fba-4e0f-ae23-0d89207248bf · outbound

This paper cites Noot-Huyghe, D^ ( ) -affinit\'e des sch\'emas projectifs, Ann.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Noot-Huyghe, D^ ( ) -affinit\'e des sch\'emas projectifs, Ann

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.389026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ca3fe187-e1d8-4fb9-85b9-54f2a01f3c43 · outbound

This paper cites Noot-Huyghe, Transformation de Fourier des D -modules arithm\'etiques.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Noot-Huyghe, Transformation de Fourier des D -modules arithm\'etiques

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.375436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dd73e6b0-bbd4-4276-98b4-bac30edb221d · outbound

This paper cites Rittatore, Algebraic monoids and group embeddings, Transform.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Rittatore, Algebraic monoids and group embeddings, Transform

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T15:30:35.244625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72d59750-e480-4e00-87ca-b126460efb33 · outbound

This paper cites Serre, Groupes de Grothendieck des sch\'emas en groupes r\'eductifs d\'eploy\'es, Publ.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Serre, Groupes de Grothendieck des sch\'emas en groupes r\'eductifs d\'eploy\'es, Publ

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.352158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0a64cf62-7bf0-477e-830e-afc769e24451 · outbound

This paper cites Serre, Alg\`ebre locale --- multiplicit\'es, Lecture Notes in Math., vol.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Serre, Alg\`ebre locale --- multiplicit\'es, Lecture Notes in Math., vol

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.338576Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d8f03a75-4afd-4e1b-ae82-36e348b49102 · outbound

This paper cites an unresolved cited work.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:30:35.324169Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 701f79c8-8801-421d-857f-2722ff61c4a5 · outbound

This paper cites Virrion, Dualit\'e locale et holonomie pour les D -modules arithem\'etiques, Bull.

Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups Virrion, Dualit\'e locale et holonomie pour les D -modules arithem\'etiques, Bull

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:30:35.309386Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

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