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Paper Citation Record · LEDGER

A Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right Triangles

As of 13 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2607.22828.

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

pith.paper-citation-record.v1
2607.22828 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T04:31:18.580324Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 119c1974-6580-4b29-96ac-0e8f22985690 · outbound

This paper cites an unresolved cited work.

A Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right Triangles Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T04:31:17.331085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:31:17.331085Z digest=sha256:8e6a06e6df88238f26e67a9ce528b07a90901bab02d6a157ce888110060dae3e

Observation cd82ede5-cc95-493b-88c4-eefdcf7baf12 · outbound

This paper cites an unresolved cited work.

A Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right Triangles Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T04:31:17.464687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:31:17.464687Z digest=sha256:c09095770e57bab45093f99445fde988c42ba2575afc2e0f38245bc10bf342ea

Observation 18d5156e-0c83-4ac2-8c1c-479b7820c2fa · outbound

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

A Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right Triangles An improvement to the Kelley-Meka bounds on three-term arithmetic progressions

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T04:31:17.638171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:31:17.638171Z digest=sha256:689d64a48c421b97b528f368c1251cca76e8f47e2b853852ad41e78cd84668bb

Observation 4b057658-801e-445b-b802-9137a94ae7ab · outbound

This paper cites Erdős and P.

A Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right Triangles Erdős and P

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T04:31:17.804334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:31:17.804334Z digest=sha256:dd97bca3f5b1717570cece5a4e80779044a017a62c7f918452cc298f09561dd6

Observation 3d0429ae-5fe4-4a02-9f1c-939c4dcd1f50 · outbound

This paper cites Kelley and R.

A Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right Triangles Kelley and R

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T04:31:17.951481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:31:17.951481Z digest=sha256:8082144b126af64c6d28b0bbdf6b02eb62b26612331270a2bd434894cf470b6d

Observation 2498107f-4369-439a-9a57-bcc3731dc5bf · outbound

This paper cites AlphaEvolve: A coding agent for scientific and algorithmic discovery.

A Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right Triangles AlphaEvolve: A coding agent for scientific and algorithmic discovery

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T04:31:18.048660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:31:18.048660Z digest=sha256:4bb60c48ba5a0ee75b47cf98276d8570e15f895ee148391b65e225ecb90669da

Observation e7bca95b-a653-4ee7-9408-9f700aa87c79 · outbound

This paper cites Pilatte,New bound for Roth’s theorem with generalized coefficients, Discrete Analysis 2022, Paper No.

A Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right Triangles Pilatte,New bound for Roth’s theorem with generalized coefficients, Discrete Analysis 2022, Paper No

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T04:31:18.153240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:31:18.153240Z digest=sha256:0cdc681e98f3813898e1a3930d77997f54057392ac2db89e37ecdc416ad05ffc

Observation 4fe75003-391f-40ad-80b0-1280435876aa · outbound

This paper cites Prendiville,Matrix progressions in multidimensional sets of integers, Mathematika11(2015), 14–48.

A Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right Triangles Prendiville,Matrix progressions in multidimensional sets of integers, Mathematika11(2015), 14–48

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T04:31:18.252494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:31:18.252494Z digest=sha256:5b8e00855bceb480861d30be2ddc20a96d1c2d2f1150a77ae4f715599dc4838f

Observation 158b8ea8-38e4-4f24-a2cb-3a3aea65d555 · outbound

This paper cites Improved Bounds for 3-Progressions.

A Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right Triangles Improved Bounds for 3-Progressions

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T04:31:18.355134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:31:18.355134Z digest=sha256:052f9344e52e1ad8191a8e6f162e7474e81814557f7c7a38048277e8c664391f

Observation 1a50fecf-2016-45d3-a478-a0fdce390b76 · outbound

This paper cites Salem and D.

A Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right Triangles Salem and D

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T04:31:18.454851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:31:18.454851Z digest=sha256:c3cf982e53998d7b59b01d408e2f12826af1f0ae4dc2a34285929feee8d6ea73

Observation 27f4e300-6123-48f4-9bc9-e77723264894 · outbound

This paper cites ""Verify the 281-point Gaussian-digit certificate embedded in the TeX source.

A Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right Triangles ""Verify the 281-point Gaussian-digit certificate embedded in the TeX source

Reference 11

Resolution
malformed identifier
no resolver link, observed 2026-08-01T04:31:18.580324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:31:18.580324Z digest=sha256:ca80a6bdfe4864e9057aad01c3cb3420baf53c8ec5c6880e83ae87e97d40d3c9

Pith citing papers

No inbound Pith citation observations are available.