Paper Citation Record · LEDGER

$p$-adic Fourier theory in families

As of 8 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2507.05374.

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

pith.paper-citation-record.v1
2507.05374 v1

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measured 50 of 50 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T19:35:37.111913Z

measured 50 of 50 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

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Outbound references

Observation a0f010e9-7e1e-4d47-9841-caf3730d4f50 · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.704358Z

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Observation 6615aadb-49c2-4ac4-a66d-82e12c77fc55 · outbound

This paper cites Pseudocoherent and Perfect Complexes and Vector Bundles on Analytic Adic Spaces.

$p$-adic Fourier theory in families Pseudocoherent and Perfect Complexes and Vector Bundles on Analytic Adic Spaces

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:36.953614Z

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Unavailable: canonical work link unavailable.

Observation 1d2f57e3-bd75-4d80-a121-f600b3fcbd57 · outbound

This paper cites Bounded functions on the character variety.

$p$-adic Fourier theory in families Bounded functions on the character variety

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:35:37.389077Z

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Observation ffc043a4-8697-49c6-b5de-91de09dd58d5 · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.696706Z

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Observation 050079b4-ecf1-4817-bb25-1ccbec3fa513 · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.688980Z

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Observation eca13f12-0a1f-4f4b-bc66-f4ba64fb072e · outbound

This paper cites Prisms and Prismatic Cohomology.

$p$-adic Fourier theory in families Prisms and Prismatic Cohomology

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:36.966935Z

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Observation 62ebd59c-0015-447d-af83-a572cad80866 · outbound

This paper cites On the $p$-adic pro-\'etale cohomology of Drinfeld symmetric spaces.

$p$-adic Fourier theory in families On the $p$-adic pro-\'etale cohomology of Drinfeld symmetric spaces

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:36.970436Z

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Observation 8f185606-8707-45e4-be98-cbe9811eb5c0 · outbound

This paper cites Rational $p$-adic Hodge theory for rigid-analytic varieties.

$p$-adic Fourier theory in families Rational $p$-adic Hodge theory for rigid-analytic varieties

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:35:37.361209Z

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Observation 83c8109a-d021-4d52-859c-b62de721223f · outbound

This paper cites MR4232168.

$p$-adic Fourier theory in families MR4232168

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.681319Z

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Observation a1e27d3d-1663-47cb-a86b-60c929c05327 · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.673461Z

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Observation 395d4632-c2af-4da9-a38f-0d6853418620 · outbound

This paper cites Tome I: G´ eom´ etrie alg´ ebrique, g´ en´ eralit´ es, groupes commutatifs, Masson & Cie, ´Editeurs, Paris; North-Holland Publishing Co., Amsterdam, 1970.

$p$-adic Fourier theory in families Tome I: G´ eom´ etrie alg´ ebrique, g´ en´ eralit´ es, groupes commutatifs, Masson & Cie, ´Editeurs, Paris; North-Holland Publishing Co., Amsterdam, 1970

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.666015Z

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Observation 30812587-0fd8-4b11-80f8-793bbe3feebd · outbound

This paper cites Eischen and E.

$p$-adic Fourier theory in families Eischen and E

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.657505Z

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Observation 2a6ebd8a-ebff-44dd-85d3-501da674c0bb · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.649779Z

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Observation 484ad0ac-8f71-4725-90ed-2e4198266519 · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.642337Z

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Observation 8cc7db10-73d0-46fa-8a4b-b1cd99cfb76f · outbound

This paper cites Geometrization of the local Langlands correspondence.

$p$-adic Fourier theory in families Geometrization of the local Langlands correspondence

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:36.994997Z

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Observation f9f63713-7661-4948-a2de-406fc7b7e8d1 · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.634453Z

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Observation 99bfb5e7-1f4c-4b26-89a0-78ddcf95070b · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.626620Z

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Observation 900131c7-7bf8-4491-99d0-fa05f167fc3c · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 18

Resolution: verified exact; raw_fallback, observed 2026-08-06T19:35:37.339702Z

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Observation a227d39e-6216-4415-8aa2-a2549e19d3bb · outbound

This paper cites Thesis (Ph.D.)– University of Frankfurt.

$p$-adic Fourier theory in families Thesis (Ph.D.)– University of Frankfurt

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.618979Z

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Observation e91f5aa1-2766-463d-b6ab-7760a4158a32 · outbound

This paper cites In preparation.

$p$-adic Fourier theory in families In preparation

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.610861Z

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Observation 9f1f84b4-2cc6-41f0-8955-95738042daf2 · outbound

This paper cites https://kskedlaya.org/papers/ criteria.pdf(version of April 23 2025).

$p$-adic Fourier theory in families https://kskedlaya.org/papers/ criteria.pdf(version of April 23 2025)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.603238Z

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Observation fcee227a-ad27-4821-aabb-8f7392eed401 · outbound

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$p$-adic Fourier theory in families Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.594653Z

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Observation c230cac6-6132-4568-9b02-5a4bb2301fb6 · outbound

This paper cites 2, Heldermann Verlag, Berlin, 1986.

$p$-adic Fourier theory in families 2, Heldermann Verlag, Berlin, 1986

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.587407Z

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Observation ac74479c-cecd-4b86-b3c5-ecd933d1ed88 · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.580043Z

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Observation ad659f3f-9b42-4153-9f16-c52797e03444 · outbound

This paper cites $p$-adic non-abelian Hodge theory for curves via moduli stacks.

$p$-adic Fourier theory in families $p$-adic non-abelian Hodge theory for curves via moduli stacks

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:37.029100Z

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Observation dd9720a8-6766-4663-b94a-f0bd5691ec5f · outbound

This paper cites Thesis (Ph.D.)–The University of Chicago.

$p$-adic Fourier theory in families Thesis (Ph.D.)–The University of Chicago

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.572478Z

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Observation d4ef6e9e-3749-4cc1-82c6-b678408a70ab · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.565057Z

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Observation 7f1ce124-7ce6-438b-aed6-bcf3db29950e · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.556308Z

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Observation 8c6aa860-8d3f-436c-af99-036ff53c24c6 · outbound

This paper cites Katz, p-adic L-functions via moduli of elliptic curves , Algebraic geometry (Proc.

$p$-adic Fourier theory in families Katz, p-adic L-functions via moduli of elliptic curves , Algebraic geometry (Proc

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.548294Z

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Observation c9955ded-51dc-4921-a897-90ed9c4d9409 · outbound

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$p$-adic Fourier theory in families Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.540333Z

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Observation 6fed2314-93e2-4c10-b5de-f0c6d1b909be · outbound

This paper cites Caen, Caen, 1976), 1977, pp.

$p$-adic Fourier theory in families Caen, Caen, 1976), 1977, pp

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.532507Z

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Observation 8dcec927-3e09-4b84-a3c4-ab56fb432d93 · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.524698Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b1839eea-1b1b-4a83-8456-524e268900e9 · outbound

This paper cites Katz and Barry Mazur, Arithmetic moduli of elliptic curves , Annals of Mathematics Studies, vol.

$p$-adic Fourier theory in families Katz and Barry Mazur, Arithmetic moduli of elliptic curves , Annals of Mathematics Studies, vol

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.515969Z

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Observation 16f6de5b-f1e0-4bf4-9ff5-8241f9944364 · outbound

This paper cites Kedlaya and Ruochuan Liu, Relative p-adic Hodge theory: foundations, Ast´ erisque371 (2015),.

$p$-adic Fourier theory in families Kedlaya and Ruochuan Liu, Relative p-adic Hodge theory: foundations, Ast´ erisque371 (2015),

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.507486Z

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Observation 2f5298e8-8548-4407-b000-79e5ebd8f8a7 · outbound

This paper cites Relative p-adic Hodge theory, II: Imperfect period rings.

$p$-adic Fourier theory in families Relative p-adic Hodge theory, II: Imperfect period rings

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:37.062322Z

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Unavailable: canonical work link unavailable.

Observation 6b273cf3-2ee0-467f-8889-e673577dbcb5 · outbound

This paper cites Uniqueness and functoriality of Igusa stacks.

$p$-adic Fourier theory in families Uniqueness and functoriality of Igusa stacks

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:35:37.240573Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation df73e188-b13a-47a9-a7cd-2a7989d1dba0 · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 37

Resolution: verified exact; raw_fallback, observed 2026-08-06T19:35:37.226608Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 59c8399d-16cf-4318-ab48-9ef746f9bcef · outbound

This paper cites Mahler, An interpolation series for continuous functions of a p-adic variable, J.

$p$-adic Fourier theory in families Mahler, An interpolation series for continuous functions of a p-adic variable, J

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.499255Z

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Observation 1951ad9d-f7d2-4f7b-a9e0-b937ccc8366a · outbound

This paper cites Perez-Garcia and W.

$p$-adic Fourier theory in families Perez-Garcia and W

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.491823Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8f29b443-1e21-4745-9844-43ef58d94c52 · outbound

This paper cites Theory 26 (2022), 962–1024.

$p$-adic Fourier theory in families Theory 26 (2022), 962–1024

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.483948Z

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Observation 9c55cc58-d71f-4c4d-9f09-28da79138b00 · outbound

This paper cites Schneider and J.

$p$-adic Fourier theory in families Schneider and J

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.475944Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 764edf0a-68a5-4f5b-9f8e-708b7a4d62da · outbound

This paper cites MR1869547.

$p$-adic Fourier theory in families MR1869547

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.467913Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 01bdd20e-8fd7-4924-8057-27fc79d610c8 · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.459822Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 740d26e5-29e3-468e-be33-c02877998e10 · outbound

This paper cites Etale cohomology of diamonds.

$p$-adic Fourier theory in families Etale cohomology of diamonds

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:37.092698Z

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Unavailable: canonical work link unavailable.

Observation 6ee56231-51e3-4466-b4ec-4f526c65b390 · outbound

This paper cites https://www.math.uni-bonn.de/ people/scholze/Condensed.pdf.

$p$-adic Fourier theory in families https://www.math.uni-bonn.de/ people/scholze/Condensed.pdf

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.450649Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 87b89cb2-aa28-49b1-88a3-6bb5fdfb88e4 · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.441124Z

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Observation 5ba5466f-a98c-4e64-8602-863d7910c1cd · outbound

This paper cites Silverman, The arithmetic of elliptic curves , Second, Graduate Texts in Mathematics, vol.

$p$-adic Fourier theory in families Silverman, The arithmetic of elliptic curves , Second, Graduate Texts in Mathematics, vol

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.432592Z

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Observation f42c5204-16d0-47d6-b853-686615bbfafd · outbound

This paper cites https://stacks.math.columbia.edu.

$p$-adic Fourier theory in families https://stacks.math.columbia.edu

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.423335Z

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Observation 743910f4-fdd7-4832-95ac-c311226bf0b8 · outbound

This paper cites an unresolved cited work.

$p$-adic Fourier theory in families Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:35:37.413862Z

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Observation cec5694a-a042-4f7d-bd42-6cce2fb12503 · outbound

This paper cites 68, BSB B.

$p$-adic Fourier theory in families 68, BSB B

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:35:37.405097Z

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Pith citing papers

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