Paper Citation Record · LEDGER

Counting subsets of integers free of arithmetic configurations

As of 12 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2607.17746.

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

pith.paper-citation-record.v1
2607.17746 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T17:18:24.093316Z

measured 30 of 30 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 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

30 of 30 outbound references displayed

verified exact0
verified fuzzy0
unresolved29
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7d7f625a-60f0-4448-bed6-f6a6a0007aac · outbound

This paper cites Balogh, S.

Counting subsets of integers free of arithmetic configurations Balogh, S

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:21.007450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ccfa9356-7a5b-4ddb-a6b0-72ec6add22fa · outbound

This paper cites Balogh, H.

Counting subsets of integers free of arithmetic configurations Balogh, H

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:21.077113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 411da7fd-72bb-4faa-84f2-1400a0fdc36b · outbound

This paper cites Balogh, R.

Counting subsets of integers free of arithmetic configurations Balogh, R

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:21.193453Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6fb833c5-4644-47ef-98cb-863540f7b3d1 · outbound

This paper cites Behague, J.

Counting subsets of integers free of arithmetic configurations Behague, J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:21.351749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a802b6c-9860-4d9c-9cbe-e84f5ca8452c · outbound

This paper cites an unresolved cited work.

Counting subsets of integers free of arithmetic configurations Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:21.495627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9afb30d7-5c33-46aa-8def-b650b8963dd1 · outbound

This paper cites an unresolved cited work.

Counting subsets of integers free of arithmetic configurations Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:21.584495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9a0d006-50b5-49c6-9c65-1553e7efc1fc · outbound

This paper cites An improvement to the Kelley-Meka bounds on three-term arithmetic progressions.

Counting subsets of integers free of arithmetic configurations An improvement to the Kelley-Meka bounds on three-term arithmetic progressions

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:21.705714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80ef9a3e-cd40-4f62-af3f-3724e94d9fa1 · outbound

This paper cites an unresolved cited work.

Counting subsets of integers free of arithmetic configurations Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:21.819600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c57a289-ad6d-4e09-ba0f-9af45950e249 · outbound

This paper cites an unresolved cited work.

Counting subsets of integers free of arithmetic configurations Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:22.001069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d5944b1-2414-4a47-860b-c7112e151b90 · outbound

This paper cites The structure and density of $k$-product-free sets in the free semigroup.

Counting subsets of integers free of arithmetic configurations The structure and density of $k$-product-free sets in the free semigroup

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:22.159616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e01059f9-ac82-42d0-adf1-5ec296d980a6 · outbound

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

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.

Observation 9d419fa6-7d83-4047-97ac-30fedb105d1c · outbound

This paper cites Erd˝ os, P.

Counting subsets of integers free of arithmetic configurations Erd˝ os, P

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:22.342484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 247fd1a5-7df4-4a9e-844a-f45d514dd455 · outbound

This paper cites Erd˝ os, D.

Counting subsets of integers free of arithmetic configurations Erd˝ os, D

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:22.465556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac0a7856-4578-46f8-814c-67f131c25c94 · outbound

This paper cites Ferber, G.

Counting subsets of integers free of arithmetic configurations Ferber, G

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:22.637066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a597a972-8511-49ed-8481-90f262f94984 · outbound

This paper cites Strong Bounds for 3-Progressions.

Counting subsets of integers free of arithmetic configurations Strong Bounds for 3-Progressions

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:22.803644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a729483-58dd-4257-b197-114bd815011b · outbound

This paper cites an unresolved cited work.

Counting subsets of integers free of arithmetic configurations Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:22.970193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0dfe9e12-8c53-4e4e-8f7c-922134e9e593 · outbound

This paper cites Kleitman.

Counting subsets of integers free of arithmetic configurations Kleitman

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:23.075183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81f5dc34-b284-4da2-9591-fed28c3c52e6 · outbound

This paper cites Kohayakawa, S.

Counting subsets of integers free of arithmetic configurations Kohayakawa, S

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:23.188768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd5b0b59-0862-4fe8-b2a2-6503322a8039 · outbound

This paper cites On sets of integers not containing long arithmetic progressions.

Counting subsets of integers free of arithmetic configurations On sets of integers not containing long arithmetic progressions

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:23.270744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b2773f9-e082-486e-afb4-f15f219e084f · outbound

This paper cites Improved Bounds for Szemer\'{e}di's Theorem.

Counting subsets of integers free of arithmetic configurations Improved Bounds for Szemer\'{e}di's Theorem

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:23.353103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40a62544-b903-4559-aeab-4b198b3a0668 · outbound

This paper cites Morris and D.

Counting subsets of integers free of arithmetic configurations Morris and D

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:23.420648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00962fac-bb40-47d9-b70e-2a462146476e · outbound

This paper cites O’Bryant.

Counting subsets of integers free of arithmetic configurations O’Bryant

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:23.508790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53876c6d-dd79-4d1d-971b-79f22c102a80 · outbound

This paper cites Improved Bounds for 3-Progressions.

Counting subsets of integers free of arithmetic configurations Improved Bounds for 3-Progressions

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:23.582056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d6626d0-fad8-423f-801d-7beb76cd9d22 · outbound

This paper cites an unresolved cited work.

Counting subsets of integers free of arithmetic configurations Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:23.643932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80f3069f-cd9d-4ee5-b1af-f5041b361f95 · outbound

This paper cites an unresolved cited work.

Counting subsets of integers free of arithmetic configurations Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:23.713562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1ec23c7-d9ae-4aa2-9de7-dccef4c5ad4d · outbound

This paper cites Ru´ e, C.

Counting subsets of integers free of arithmetic configurations Ru´ e, C

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:23.791195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b539c94-5d49-4311-9b4f-e778d44032bb · outbound

This paper cites Saxton and A.

Counting subsets of integers free of arithmetic configurations Saxton and A

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:23.844722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae7c7d96-1724-47d9-8285-8f1b22e72186 · outbound

This paper cites an unresolved cited work.

Counting subsets of integers free of arithmetic configurations Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:23.917424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3201a7a-ec45-4f41-9516-461a424750bf · outbound

This paper cites Szemer´ edi.

Counting subsets of integers free of arithmetic configurations Szemer´ edi

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T17:18:23.996694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f15a3c4f-0048-4353-91f6-b65ee796a36c · outbound

This paper cites Tao and V.

Counting subsets of integers free of arithmetic configurations Tao and V

Reference 30

Resolution: malformed identifier; no resolver link, observed 2026-08-01T17:18:24.093316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.