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Paper Citation Record · LEDGER

Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2406.12290.

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

pith.paper-citation-record.v1
2406.12290 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 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 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:57:07.741254Z

measured 0 of 1 external citation measurements

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 2663c8c2-0f85-4436-9375-acbc9c0b8d63 · inbound

A New Construction Structure on Coded Caching with Linear Subpacketization: Non-Half-Sum Disjoint Packing cites this paper.

A New Construction Structure on Coded Caching with Linear Subpacketization: Non-Half-Sum Disjoint Packing Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-10T17:57:07.741254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:57:07.741254Z digest=sha256:587f1d6b5e1c0c24fdc32ecfe2340c4f734f4c48eef55bf8a58b1f467d7630a4

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.

source=pdf_text observed=2026-08-06T19:44:56.014525Z digest=sha256:174f8ebf72d6f2e60bad8a438dfc17a87664e048b66eb6d5d056ace9dfafaf1d

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.

source=pdf_text observed=2026-08-04T23:02:20.839069Z digest=sha256:eeadcb282ad5393ff1b3b7e2dca8ab4399eaf4a2c972b70d72facacccc20d5b7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T19:14:43.854083Z digest=sha256:92a306b3eb60d463bc3ae5c6b1fb9e9c61d18d6fcc0b146bda88d78bb3049c33

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-25T04:07:44.378223Z digest=sha256:dfe2bdbd09b1a46253eb6d8294c9fb33f1b6031ab77d1fd171fa804c5511fbe6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T13:42:01.789309Z digest=sha256:6d00415f7a331172be064d1cf2979836f39d5e5982daed557748195cada102a3

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-06-27T09:10:13.413144Z digest=sha256:010041ef85484fbb572e5386cbf80618d50b27465c70dfb12bedcd4a571a54b5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-08T23:20:51.537960Z digest=sha256:72987ea151f1cd2c4bc61baaa3c2d974cb217dd8a04263768900e01b3f21e972

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.

source=pdf_text observed=2026-08-01T17:18:22.254422Z digest=sha256:b49b64fcfb9284de9d31d2e894c3aae950cc8cf7582ba1fdd10fd2eb633900d1