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Paper Citation Record · LEDGER

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields

As of 8 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 2 inbound Pith citation observations for arXiv:2505.22059.

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

pith.paper-citation-record.v1
2505.22059 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

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Pith citing papers itemized under the disclosed page cap.

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Source: arxiv_reference, observed 2026-05-15T08:15:16.891860Z

Reference resolution

42 of 42 outbound references displayed

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External citation measurements

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Outbound references

Observation 1f61589a-b4fd-4c5b-aa43-b5b6ec2ed4ba · outbound

This paper cites Billingsley, Probability and measure, Third, Wiley Series in Probability and Mathematical Statistics, John Wiley & Sons, Inc., New York, 1995.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Billingsley, Probability and measure, Third, Wiley Series in Probability and Mathematical Statistics, John Wiley & Sons, Inc., New York, 1995

Reference 1

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

Reference 2

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

Reference 3

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This paper cites Bonis, Stein ’s method for normal approximation in Wasserstein distances with application to the multivariate central limit theorem , Probab.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Bonis, Stein ’s method for normal approximation in Wasserstein distances with application to the multivariate central limit theorem , Probab

Reference 4

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

Reference 5

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This paper cites Borda, Berry-Esseen smoothing inequality for the Wasserstein metric on compact Lie groups , J.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Borda, Berry-Esseen smoothing inequality for the Wasserstein metric on compact Lie groups , J

Reference 6

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This paper cites II: The Wasserstein metric , Bernoulli 27 (2021), no.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields II: The Wasserstein metric , Bernoulli 27 (2021), no

Reference 7

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This paper cites Bourbaki, ´El´ ements de math´ ematique.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Bourbaki, ´El´ ements de math´ ematique

Reference 8

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This paper cites Th´ eories spectrales.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Th´ eories spectrales

Reference 9

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This paper cites Bourgain, A.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Bourgain, A

Reference 10

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Brown and S

Reference 11

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This paper cites Burkhardt, A Z-Y.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Burkhardt, A Z-Y

Reference 12

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Deligne, La conjecture de Weil

Reference 13

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Drmota and R

Reference 14

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

Reference 15

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Erd¨ os and P

Reference 16

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Arithmetic Fourier transforms over finite fields: generic vanishing, convolution, and equidistribution

Reference 17

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Fouvry and Ph

Reference 18

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields An effective Deligne's equidistribution theorem

Reference 20

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields The asymptotic Mahler measure of Gaussian periods

Reference 21

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Graham, Irregularity of distribution in Wasserstein distance , J

Reference 23

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Gray, Tubes, Second, Progress in Mathematics, vol

Reference 24

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Katz, Gauss sums, Kloosterman sums, and monodromy groups , Annals of Mathematics Studies, vol

Reference 25

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Sato–Tate theorems for finite-field Mellin transforms , Annals of Mathematics Studies, vol

Reference 26

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Katz and P

Reference 27

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

Reference 28

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Kowalski and W.F

Reference 29

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Kowalski and T

Reference 30

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Kurlberg, L

Reference 31

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Neukirch, Algebraic number theory

Reference 32

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Niederreiter, The distribution of values of Kloosterman sums , Arch

Reference 33

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Platt, Visual aspects of Gaussian periods and analogues , Int

Reference 34

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Sawin, A

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation ba358e68-7ddd-4e65-a8d5-d60f735c8747 · outbound

This paper cites Shi and B.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Shi and B

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:33:57.681208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 21969f66-b675-42a4-b297-218f71ac4506 · outbound

This paper cites Steinerberger, Wasserstein distance, Fourier series and applications , Monatsh.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Steinerberger, Wasserstein distance, Fourier series and applications , Monatsh

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:33:57.468900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 80a4c027-914d-4fd8-92e0-c0b20d050fc2 · outbound

This paper cites Untrau, Study of the distribution of some short exponential sums , Ph.D.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Untrau, Study of the distribution of some short exponential sums , Ph.D

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:33:57.280094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 66417f82-af0a-472d-93e5-e4c927c955bf · outbound

This paper cites an unresolved cited work.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:33:57.040149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 785bc4ce-c0ba-4203-b5e1-29bc1361a45f · outbound

This paper cites Villani, Topics in optimal transportation, Graduate Studies in Mathematics, vol.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Villani, Topics in optimal transportation, Graduate Studies in Mathematics, vol

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:33:56.832953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation d1071aca-fac3-480a-b7cd-3fc59efde3a6 · outbound

This paper cites Weyl, ¨Uber die Gleichverteilung von Zahlen mod.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Weyl, ¨Uber die Gleichverteilung von Zahlen mod

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:33:56.621702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation d6684e52-c3cc-4f2d-bc73-9c561f51c30d · outbound

This paper cites Equidistributions of Jacobi sums.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Equidistributions of Jacobi sums

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:33:56.003485Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Pith citing papers

Observation 41c406f3-775e-4bc4-8e62-236233e33d86 · inbound

The asymptotic Mahler measure of Gaussian periods cites this paper.

The asymptotic Mahler measure of Gaussian periods Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields

Reference 61

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:11:22.628736Z digest=sha256:8f504c663378921966ab545f1a36087b1b5e416c327553802fac0fdb13b1ac9a

Observation 2094bc4f-5f24-45e7-8438-665fa1fb7570 · inbound

A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races cites this paper.

A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-15T08:15:16.893830Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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