Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields
As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2406.12290.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:44:56.014525Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-08T23:25:42.058387Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation ea78a1fd-212c-42d4-83db-bbb41e5a6bc5 · inbound
An improved construction for the triangle removal lemma cites this paper.
An improved construction for the triangle removal lemma Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:44:56.014525Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c2949431-7fea-469f-a8ed-7b60b512230c · inbound
On subsets of lattice cubes avoiding affine and spherical degeneracies cites this paper.
On subsets of lattice cubes avoiding affine and spherical degeneracies Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T23:02:20.839069Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3eb869b9-e7ef-401d-b11d-1c057a972edb · inbound
On the Furstenberg-Katznelson constant for the IP Szemeredi theorem over finite fields cites this paper.
On the Furstenberg-Katznelson constant for the IP Szemeredi theorem over finite fields Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T23:20:49.560142Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9a04531c-b63c-442b-813e-d4a5485b478f · inbound
A superlinear improvement on line-free sets in $\mathbb{F}_p^3$ cites this paper.
A superlinear improvement on line-free sets in $\mathbb{F}_p^3$ Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-05-25T04:10:19.529564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5f2b0911-1ac5-476a-bca3-64323ffc985d · inbound
Three-color van der Waerden numbers grow super-exponentially cites this paper.
Three-color van der Waerden numbers grow super-exponentially Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T00:06:23.091601Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c789057c-e3a6-4f26-9d17-fecacd5c1b0a · inbound
Beating Product Constructions for Linear Equations Over Finite Fields cites this paper.
Beating Product Constructions for Linear Equations Over Finite Fields Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields
Reference 20
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-03T11:58:07.133174Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation eb8129b1-9596-4ee6-8d54-ac1b4fa2b370 · inbound
Large Sets of Integers with No Harmonic Triples cites this paper.
Large Sets of Integers with No Harmonic Triples Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-07-08T23:25:42.059948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e01059f9-ac82-42d0-adf1-5ec296d980a6 · inbound
Counting subsets of integers free of arithmetic configurations cites this paper.
Counting subsets of integers free of arithmetic configurations Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T17:18:22.254422Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.