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Paper Citation Record · LEDGER

Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields

As of 12 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 2 inbound Pith citation observations for arXiv:2501.04887.

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

pith.paper-citation-record.v1
2501.04887 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:36:13.094538Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:21:35.588146Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T00:02:50.029322Z

Reference resolution

9 of 9 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6b163f52-f907-447f-876f-5dfa6fc3e829 · outbound

This paper cites Corners with polynomial side length.

Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields Corners with polynomial side length

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T21:36:13.073342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:36:13.073342Z digest=sha256:4b578961fb07d47b9bca65ff016ecbde954998544278563865c8dd7c2315a0d4

Observation f8c95380-e240-4b31-8d22-2601e87d254d · outbound

This paper cites A bilinear estimate in $\mathbb{F}_p$.

Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields A bilinear estimate in $\mathbb{F}_p$

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-10T21:36:13.084767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:36:13.084767Z digest=sha256:a1e8929179972573f2a05f69f9b4db5d9911e210f4d96143030177c401401b8d

Observation 7037d9bc-e152-43e4-894b-aa0c0c4dc0c4 · outbound

This paper cites Bounds in a popular multidimensional nonlinear Roth theorem.

Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields Bounds in a popular multidimensional nonlinear Roth theorem

Reference 9

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T21:36:13.138755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T21:36:13.094538Z digest=sha256:06dc90bf1ca7fb6cb5c6e86ae81687593b2a0853ee5b12fb16ba076f0c36b502

Observation 3f98b921-ca95-4df2-bcfb-da7a2811225f · outbound

This paper cites Springer-Verlag, New York-Heidelberg, 1977, pp.

Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields Springer-Verlag, New York-Heidelberg, 1977, pp

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:36:13.260907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T21:36:13.063190Z digest=sha256:5b00b74ffd5f690cfb36a1fe5b01764b3a2e0199a8bd6d2abac2f368923d2135

Observation 8f3e2b52-2de2-4032-916b-9e7d3e535cf3 · outbound

This paper cites Subsets of Fn p ×Fn p without L-shaped configurations.

Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields Subsets of Fn p ×Fn p without L-shaped configurations

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:36:13.229930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T21:36:13.089578Z digest=sha256:abedfeb00ff0c9937d9b8b24db7bb81c95e8a34819e50fd3f6bc9b46f18c1ab2

Observation db166535-39a0-4e2d-bfc5-9262be228fb5 · outbound

This paper cites Multidimensional polynomial Szemer ´ edi theorem in finite fields for polynomials of distinct degrees.

Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields Multidimensional polynomial Szemer ´ edi theorem in finite fields for polynomials of distinct degrees

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:36:13.245479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T21:36:13.078981Z digest=sha256:948642926d48ef3e24cadbf1c7dd9186f3bf74de44821457b14781456afcf431

Observation 98b2c534-e815-4fe0-8514-155ebcc0b9fb · outbound

This paper cites Springer-Verlag, Berlin, 1984, p p.

Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields Springer-Verlag, Berlin, 1984, p p

Reference 265

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:36:13.277161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T21:36:13.058030Z digest=sha256:33cf189f98fd8a6c4c625dff9f54c2f3d4e84544054652295f1c5b3bf4e38fe7

Observation f8051649-6946-4d46-baa3-489f6205b18f · outbound

This paper cites Partial difference equations over compact Abelian groups, I: modules of solutions.

Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields Partial difference equations over compact Abelian groups, I: modules of solutions

Reference 2014

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T21:36:13.214599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T21:36:13.052454Z digest=sha256:7d778237b1571718fefde9e3eeeda785de857856cf5cec35a68eeffe21f13541

Observation 7667ec2c-09be-432f-becf-c8ed6568f525 · outbound

This paper cites Three term rational function progressions in finite fields.

Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields Three term rational function progressions in finite fields

Reference 2024

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:36:13.193388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T21:36:13.068184Z digest=sha256:af41f20f3e94f67eaac392cc0a3631869706ff9123845ea94b4a3112e890f055

Pith citing papers

Observation 7662242a-c75a-44cf-b0f3-91b2cd98c3b2 · inbound

On weighted multilinear polynomial averages in finite fields cites this paper.

On weighted multilinear polynomial averages in finite fields Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-06T16:21:35.588146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:21:35.588146Z digest=sha256:ebb20514021f538c06dfd1027b3d63d7baa259779309fa8221a1c4c32045afd8

Observation 3bef3e63-2f72-41f4-9529-96acfe8fe4e6 · inbound

On hyperbolic corners and unit-area triangles in planar sets of large measure cites this paper.

On hyperbolic corners and unit-area triangles in planar sets of large measure Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields

Reference 38

Resolution
verified exact
arxiv_id, observed 2026-06-29T00:02:50.030841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T23:54:01.597389Z digest=sha256:247707acda9beeae79d2948d7a45b76dcdb7f8d0252e85be22303ac61b8e21a0