Paper Citation Record · LEDGER

Sum-product phenomena for Ahlfors-regular sets

As of 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2501.02131.

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

pith.paper-citation-record.v1
2501.02131 v3

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:32:37.313312Z

measured 15 of 15 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

15 of 15 outbound references displayed

verified exact0
verified fuzzy10
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4d02405c-e7f5-43bf-a865-51d36c5a874a · outbound

This paper cites On the spectral gap for finitely-generated subgroups of SU(2).

Sum-product phenomena for Ahlfors-regular sets On the spectral gap for finitely-generated subgroups of SU(2)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:37.739950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 44e1a7b2-89ee-489b-a858-d86407c4ece1 · outbound

This paper cites Bourgain.

Sum-product phenomena for Ahlfors-regular sets Bourgain

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T22:32:37.215748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78c5675c-9bf9-4b29-b512-b75451a96113 · outbound

This paper cites The discretized sum-product and projection theorems.

Sum-product phenomena for Ahlfors-regular sets The discretized sum-product and projection theorems

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T22:32:37.223532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2895c512-0464-41f5-9cb4-92479914f96a · outbound

This paper cites Borel subrings of the reals.

Sum-product phenomena for Ahlfors-regular sets Borel subrings of the reals

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:37.674448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d0ad5d0d-239a-497d-82a4-2b9dbbac218d · outbound

This paper cites Erd o s and E.

Sum-product phenomena for Ahlfors-regular sets Erd o s and E

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:37.631690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 464f501c-489e-4c7a-b70f-51bf8211bf92 · outbound

This paper cites Additive G ruppen mit vorgegebener H ausdorffscher D imension.

Sum-product phenomena for Ahlfors-regular sets Additive G ruppen mit vorgegebener H ausdorffscher D imension

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T22:32:37.243061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation acaec9d8-e98f-47f3-aef6-7e26dd429773 · outbound

This paper cites Fractal geometry.

Sum-product phenomena for Ahlfors-regular sets Fractal geometry

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:37.588893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 53d1c1d1-9166-449c-916e-011dd69840b0 · outbound

This paper cites Incidence estimates for -dimensional tubes and -dimensional balls in R^2.

Sum-product phenomena for Ahlfors-regular sets Incidence estimates for -dimensional tubes and -dimensional balls in R^2

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:37.558156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 320e3b2f-5d63-4838-bd5e-cfec31d7d2af · outbound

This paper cites On the discretized sum-product problem.

Sum-product phenomena for Ahlfors-regular sets On the discretized sum-product problem

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:37.527886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3c32e722-2b2c-4d8b-8558-e9fdfc2b96d7 · outbound

This paper cites Some connections between F alconer's distance set conjecture and sets of F urstenburg type.

Sum-product phenomena for Ahlfors-regular sets Some connections between F alconer's distance set conjecture and sets of F urstenburg type

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:37.500204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f9eedc90-e3d3-44c1-8381-7f75d9eafe71 · outbound

This paper cites Ahlfors- D avid regular sets and bilipschitz maps.

Sum-product phenomena for Ahlfors-regular sets Ahlfors- D avid regular sets and bilipschitz maps

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:37.475560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 93086cc4-d12d-4c74-8881-d2df4a512c58 · outbound

This paper cites On the projections of Ahlfors regular sets in the plane.

Sum-product phenomena for Ahlfors-regular sets On the projections of Ahlfors regular sets in the plane

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T22:32:37.288237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdfb98d2-deb7-45f1-9a21-d2ec013a8e6d · outbound

This paper cites Kaufman and F alconer estimates for radial projections and a continuum version of B eck's theorem.

Sum-product phenomena for Ahlfors-regular sets Kaufman and F alconer estimates for radial projections and a continuum version of B eck's theorem

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:37.447172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 885843df-c989-4725-8308-419b4b0a5ceb · outbound

This paper cites An update on the sum-product problem.

Sum-product phenomena for Ahlfors-regular sets An update on the sum-product problem

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:37.419002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 14dfd4d0-7feb-4e82-823a-681d9ab61051 · outbound

This paper cites Furstenberg sets estimate in the plane.

Sum-product phenomena for Ahlfors-regular sets Furstenberg sets estimate in the plane

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T22:32:37.313312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.