Paper Citation Record · LEDGER

A Structural Condition on Point Sets with Few Distinct Dot Products

As of 14 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2510.14585.

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

pith.paper-citation-record.v1
2510.14585 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T09:39:47.220876Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

10 of 10 outbound references displayed

verified exact0
verified fuzzy0
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c114520-61de-4ada-93f0-d94b10454a26 · outbound

This paper cites Bounds on distinct and re- peated dot product trees.

A Structural Condition on Point Sets with Few Distinct Dot Products Bounds on distinct and re- peated dot product trees

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T09:39:46.421322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6439a7f0-b0a9-418b-aea7-0498290a3c0e · outbound

This paper cites Upper bounds on pairs of dot products.

A Structural Condition on Point Sets with Few Distinct Dot Products Upper bounds on pairs of dot products

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T09:39:46.476584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58c282f6-b513-4a75-9ada-b250f853770d · outbound

This paper cites On the number of dot product chains in finite fields and rings.

A Structural Condition on Point Sets with Few Distinct Dot Products On the number of dot product chains in finite fields and rings

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T09:39:46.605896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3ad79a6-febc-4790-af17-6f0a1bd71bd4 · outbound

This paper cites Pinned Dot Product Set Estimates.

A Structural Condition on Point Sets with Few Distinct Dot Products Pinned Dot Product Set Estimates

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T09:39:46.694533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ace4c74f-deeb-4696-a360-866359ed6eb0 · outbound

This paper cites Pairs of dot products in finite fields and rings.

A Structural Condition on Point Sets with Few Distinct Dot Products Pairs of dot products in finite fields and rings

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T09:39:46.796717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 799f257a-8080-49bc-8b38-3bb8db82ae32 · outbound

This paper cites Dot Product Bounds in Galois Rings.

A Structural Condition on Point Sets with Few Distinct Dot Products Dot Product Bounds in Galois Rings

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T09:39:46.873620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation adf32a42-78fa-4986-a366-274d5f71d76c · outbound

This paper cites Convexity, superquadratic growth, and dot products.Journal of the London Mathematical Society, 107(5):1900–1923, 2023.

A Structural Condition on Point Sets with Few Distinct Dot Products Convexity, superquadratic growth, and dot products.Journal of the London Mathematical Society, 107(5):1900–1923, 2023

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T09:39:46.927538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04ad3cd9-2adf-4db3-8ae6-008dbb222a8d · outbound

This paper cites Dot product chains.

A Structural Condition on Point Sets with Few Distinct Dot Products Dot product chains

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T09:39:46.989933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbec0420-4e66-429b-8ca9-87dc3ac69d0d · outbound

This paper cites An improved bound on the number of dot products determined by a finite point set in the plane.arXiv preprint arXiv:2502.12727, 2025.

A Structural Condition on Point Sets with Few Distinct Dot Products An improved bound on the number of dot products determined by a finite point set in the plane.arXiv preprint arXiv:2502.12727, 2025

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T09:39:47.112555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bf53e8d-a226-4ee1-aa92-d802d341bd61 · outbound

This paper cites Incidences and pairs of dot products.

A Structural Condition on Point Sets with Few Distinct Dot Products Incidences and pairs of dot products

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T09:39:47.220876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.