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Paper Citation Record · LEDGER

Inequalities in Fourier analysis on binary cubes

As of 21 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2507.01359.

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

pith.paper-citation-record.v1
2507.01359 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:05:36.039713Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:31:46.279752Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T19:31:46.449516Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact9
  • verified fuzzy1
  • unresolved3
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 90cc55a7-0d54-4fb0-9808-c33215f01ca1 · outbound

This paper cites Discrete Brunn-Minkowski Inequality for subsets of the cube.

Inequalities in Fourier analysis on binary cubes Discrete Brunn-Minkowski Inequality for subsets of the cube

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T21:05:34.623361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 44fba1f5-c7a1-4605-88d1-73fcde63b480 · outbound

This paper cites Inequalities in Fourier analysis.

Inequalities in Fourier analysis on binary cubes Inequalities in Fourier analysis

Reference 2

Resolution
verified exact
doi, observed 2026-08-06T21:05:37.470364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 310ceab8-77e5-42ec-a53f-a7447a2fcf1c · outbound

This paper cites Sharp estimates for Gowers norms on discrete cubes.

Inequalities in Fourier analysis on binary cubes Sharp estimates for Gowers norms on discrete cubes

Reference 3

Resolution
verified exact
raw_fallback, observed 2026-08-06T21:05:38.199396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 3e7b8f20-69c1-4141-a9bb-506ec601c832 · outbound

This paper cites Weldon, Jr.

Inequalities in Fourier analysis on binary cubes Weldon, Jr

Reference 4

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T21:05:38.001388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 6c3ad97e-a1e4-467f-84b7-78e3c217da39 · outbound

This paper cites Additive energies on discrete cubes.

Inequalities in Fourier analysis on binary cubes Additive energies on discrete cubes

Reference 5

Resolution
verified exact
doi, observed 2026-08-06T21:05:37.252356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation bedc3775-12dd-4ead-a2e3-0883101f9bf0 · outbound

This paper cites A weighted Pr´ ekopa– Leindler inequality and sumsets with quasicubes.

Inequalities in Fourier analysis on binary cubes A weighted Pr´ ekopa– Leindler inequality and sumsets with quasicubes

Reference 6

Resolution
verified exact
doi, observed 2026-08-06T21:05:37.133338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 31c1f120-bc39-4892-bd0a-fa2ff8f61e97 · outbound

This paper cites A note on entropy.

Inequalities in Fourier analysis on binary cubes A note on entropy

Reference 7

Resolution
verified exact
doi, observed 2026-08-06T21:05:37.003016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 52c24aa0-9ab1-446e-a7cc-00fe67206692 · outbound

This paper cites A bound on partitioning clus ters.

Inequalities in Fourier analysis on binary cubes A bound on partitioning clus ters

Reference 8

Resolution
malformed identifier
doi_truncated, observed 2026-08-06T21:05:36.869158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:05:35.145637Z digest=sha256:663e1d9c52a6097abe86e39f5ee3de15b0341a5a7c119db6891c2e7c484c8b55

Observation 5844a3e3-e38b-4cab-823c-8c2d3b808b02 · outbound

This paper cites On binomial sums, additive energies, and lazy random walks.

Inequalities in Fourier analysis on binary cubes On binomial sums, additive energies, and lazy random walks

Reference 9

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T21:05:37.809285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 9911b18c-5b9e-4107-8b3b-8425c6920887 · outbound

This paper cites Dimension-free Fourier restriction inequalities.

Inequalities in Fourier analysis on binary cubes Dimension-free Fourier restriction inequalities

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:05:37.630944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation a69ea006-c77e-4119-9b06-6fca61c1ad1c · outbound

This paper cites an unresolved cited work.

Inequalities in Fourier analysis on binary cubes Unresolved cited work

Reference 11

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unresolved
raw_fallback, observed 2026-08-06T21:05:38.508498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 202a4c88-f6bf-456d-b2f1-61445aa57e3a · outbound

This paper cites Shkredov.

Inequalities in Fourier analysis on binary cubes Shkredov

Reference 12

Resolution
verified exact
doi, observed 2026-08-06T21:05:36.756680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation a8180604-423a-40ed-a1b5-232065cb02b8 · outbound

This paper cites Additive energies of subsets of discre te cubes.

Inequalities in Fourier analysis on binary cubes Additive energies of subsets of discre te cubes

Reference 13

Resolution
verified exact
doi, observed 2026-08-06T21:05:36.632570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 18e9c40f-c039-4c74-979d-80d79d379441 · outbound

This paper cites Energies and structure of additive sets.

Inequalities in Fourier analysis on binary cubes Energies and structure of additive sets

Reference 14

Resolution
malformed identifier
doi_truncated, observed 2026-08-06T21:05:36.487429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation dd46de1f-eed1-40a6-9208-17c0ef8d9e4f · outbound

This paper cites Additive combinatorics, volume 105 of Cambridge Studies in Advanced Mathe- matics.

Inequalities in Fourier analysis on binary cubes Additive combinatorics, volume 105 of Cambridge Studies in Advanced Mathe- matics

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T21:05:35.776730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 811d6641-9f70-47eb-8baa-60d2846d286e · outbound

This paper cites Wave packet analysis , volume 105 of CBMS Regional Conference Series in Mathematics.

Inequalities in Fourier analysis on binary cubes Wave packet analysis , volume 105 of CBMS Regional Conference Series in Mathematics

Reference 16

Resolution
verified exact
doi, observed 2026-08-06T21:05:36.231890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 4d85ef5a-e82f-4b3d-bc83-6c4bf57ebf87 · outbound

This paper cites Mathematica, Version 14.2, 202 5.

Inequalities in Fourier analysis on binary cubes Mathematica, Version 14.2, 202 5

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Pith citing papers

Observation 932a9aac-e6bc-4876-a7b8-c8f9bef0dc17 · inbound

Optimal Young's convolutions inequality and its reverse form on the hypercube cites this paper.

Optimal Young's convolutions inequality and its reverse form on the hypercube Inequalities in Fourier analysis on binary cubes

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:31:46.455281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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