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Paper Citation Record · LEDGER

Optimal Extrapolation Bounds for Sparse Fourier Sums

As of 7 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2607.10501.

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

pith.paper-citation-record.v1
2607.10501 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T11:14:53.305541Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

13 of 13 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 09abcbc0-5129-423e-9336-b739923c315c · outbound

This paper cites Active regression via linear-sample sparsification.

Optimal Extrapolation Bounds for Sparse Fourier Sums Active regression via linear-sample sparsification

Reference 1

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no resolver link, observed 2026-07-14T11:14:53.305541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:14:53.305541Z digest=sha256:70064bcb69ca6f36c5bc53e907a7a7d616f6f9ba50daa6634c002e6d238f7db3

Observation 2de87041-58bb-4d3a-add4-563826d02500 · outbound

This paper cites Estimating the frequency of a clustered signal.

Optimal Extrapolation Bounds for Sparse Fourier Sums Estimating the frequency of a clustered signal

Reference 2

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no resolver link, observed 2026-07-14T11:14:53.305541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:14:53.305541Z digest=sha256:af90bd791eab6c5e0fc54e31d3a8e8b2987437cfa3c7fde48442a82a3bc8f119

Observation 94815f57-4edf-4b84-a53b-29dbc7f5fa8d · outbound

This paper cites Estimating the Frequency of a Clustered Signal.

Optimal Extrapolation Bounds for Sparse Fourier Sums Estimating the Frequency of a Clustered Signal

Reference 3

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unresolved
no resolver link, observed 2026-07-14T11:14:53.305541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:14:53.305541Z digest=sha256:33c2aecf95c42bdaf8fa1e8cfa08a0bd4794bc885010da44941d7689ca64e4ce

Observation 3b5f1975-290f-47c8-b125-c5aae575f24b · outbound

This paper cites The recoverability limit for superresolution via sparsity.

Optimal Extrapolation Bounds for Sparse Fourier Sums The recoverability limit for superresolution via sparsity

Reference 4

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no resolver link, observed 2026-07-14T11:14:53.305541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:14:53.305541Z digest=sha256:0fbab1125eb025141884f26bffa90c3c1de547e7213a84ad3690d07c1dbd7c16

Observation a59a61a6-a826-46b5-af5f-4e49c200113c · outbound

This paper cites Inequalities for exponential sums.

Optimal Extrapolation Bounds for Sparse Fourier Sums Inequalities for exponential sums

Reference 5

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no resolver link, observed 2026-07-14T11:14:53.305541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:14:53.305541Z digest=sha256:6114fa9d65ff30184245b5d3bb8b8beb27358befee9bd9949e1b6ea529d57076

Observation 839ecc10-5747-4dab-96dd-91897546bce1 · outbound

This paper cites Gilbert, Sudipto Guha, Piotr Indyk, S.

Optimal Extrapolation Bounds for Sparse Fourier Sums Gilbert, Sudipto Guha, Piotr Indyk, S

Reference 6

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unresolved
no resolver link, observed 2026-07-14T11:14:53.305541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:14:53.305541Z digest=sha256:443080bf01dc32cb4f694cc634e29bf24433bb2928f8e804b393d2e45314711b

Observation b41e2d48-374b-4511-b917-6f34c2563aee · outbound

This paper cites Nearly optimal sparse fourier transform.

Optimal Extrapolation Bounds for Sparse Fourier Sums Nearly optimal sparse fourier transform

Reference 7

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no resolver link, observed 2026-07-14T11:14:53.305541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:14:53.305541Z digest=sha256:fb3fa29a837f2c6f599a8f1d227f7aefbdc21ffa993a9bf7987c7950a08c69ff

Observation f7ffe182-7000-4db9-be89-eea5b2b153bf · outbound

This paper cites Simple and practical algorithm for sparse fourier transform.

Optimal Extrapolation Bounds for Sparse Fourier Sums Simple and practical algorithm for sparse fourier transform

Reference 8

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no resolver link, observed 2026-07-14T11:14:53.305541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:14:53.305541Z digest=sha256:0f3277cd109db95a56fb4666d9591fd1c5a9f772c960066a802c148b47e81672

Observation 58b32104-64ca-4cc4-b07d-e3688b3d7bb2 · outbound

This paper cites Sample-optimal fourier sampling in any constant dimension.

Optimal Extrapolation Bounds for Sparse Fourier Sums Sample-optimal fourier sampling in any constant dimension

Reference 9

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unresolved
no resolver link, observed 2026-07-14T11:14:53.305541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:14:53.305541Z digest=sha256:a8c313e355316b4243272cd1f54c18d9819a24b9af26e5479ea6a12bd98a899c

Observation 416eef41-0d75-48ee-8de2-c8a7f59a1f51 · outbound

This paper cites Sparse fourier transform in any constant dimension with nearly- optimal sample complexity in sublinear time.

Optimal Extrapolation Bounds for Sparse Fourier Sums Sparse fourier transform in any constant dimension with nearly- optimal sample complexity in sublinear time

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-14T11:14:53.305541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:14:53.305541Z digest=sha256:8235211bb9a4e26039b7bb3fbd3f92ffdc51e6477d1c11557fdb91e8c8d8b037

Observation cccb78ce-0eda-40b1-80a2-659fb88a6d27 · outbound

This paper cites Super-resolution, extremal functions and the condition number of Van- dermonde matrices.

Optimal Extrapolation Bounds for Sparse Fourier Sums Super-resolution, extremal functions and the condition number of Van- dermonde matrices

Reference 11

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unresolved
no resolver link, observed 2026-07-14T11:14:53.305541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:14:53.305541Z digest=sha256:d251a9bce3055dc9acd70193c1e395520e57410b0b16d76db46b6faa6759283e

Observation 7f6e3b3c-7a74-4e66-be57-9e3d8aee6820 · outbound

This paper cites Super-resolution, Extremal Functions and the Condition Number of Vandermonde Matrices.

Optimal Extrapolation Bounds for Sparse Fourier Sums Super-resolution, Extremal Functions and the Condition Number of Vandermonde Matrices

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-14T11:14:53.305541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:14:53.305541Z digest=sha256:b62ee4bc842174c18d73cc35c9d912c791ccd76736cb1eab2fc36e2b8b13d61c

Observation f2d7f5c2-acd8-433b-b3bb-6d6f0d402ba0 · outbound

This paper cites an unresolved cited work.

Optimal Extrapolation Bounds for Sparse Fourier Sums Unresolved cited work

Reference 13

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unresolved
no resolver link, observed 2026-07-14T11:14:53.305541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:14:53.305541Z digest=sha256:6dd39fa3739fcaad7c2a58706c639c40c914d87a9c0d96e4a90cb783f909dda1

Pith citing papers

No inbound Pith citation observations are available.