Paper Citation Record · LEDGER

The sharp exponent for the minimal distance problem

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.20422.

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

pith.paper-citation-record.v1
2607.20422 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T09:59:51.125398Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

26 of 26 outbound references displayed

verified exact5
verified fuzzy0
unresolved20
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4117c0fd-0967-4878-a960-29e7d134d2d8 · outbound

This paper cites Remarks on the disproof of the unit distance conjecture.

The sharp exponent for the minimal distance problem Remarks on the disproof of the unit distance conjecture

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:48.330572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a42a7b73-6b1f-41f1-a25e-6518b1050368 · outbound

This paper cites Square-Difference-Free Sets of Size Omega(n^{0.7334...}).

The sharp exponent for the minimal distance problem Square-Difference-Free Sets of Size Omega(n^{0.7334...})

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:48.408570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98b31f7f-5ad3-4f2f-bf02-87e9349f1b43 · outbound

This paper cites an unresolved cited work.

The sharp exponent for the minimal distance problem Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:48.519133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef70b534-5de6-4ab4-a15d-fa0d8f4d1566 · outbound

This paper cites an unresolved cited work.

The sharp exponent for the minimal distance problem Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-01T10:03:26.786602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6047d520-0641-4e16-b702-e01a86cb44e0 · outbound

This paper cites The sum-product conjecture is false for real numbers.

The sharp exponent for the minimal distance problem The sum-product conjecture is false for real numbers

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:48.793477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61543c99-e862-4bd6-b968-b00e7f486b58 · outbound

This paper cites A new upper bound for the Heilbronn triangle problem.

The sharp exponent for the minimal distance problem A new upper bound for the Heilbronn triangle problem

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:48.908627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6171e362-ee55-49da-9ec1-0c97888065dd · outbound

This paper cites Cohen, C.

The sharp exponent for the minimal distance problem Cohen, C

Reference 7

Resolution: verified exact; doi, observed 2026-08-01T10:03:26.626722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e2257a55-23d0-4981-b2a7-6e7451e58018 · outbound

This paper cites Davenport,Multiplicative number theory,3rd ed., revised and with a preface by H.

The sharp exponent for the minimal distance problem Davenport,Multiplicative number theory,3rd ed., revised and with a preface by H

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:49.110869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2af10a9-8e3b-498d-b0cb-8c254b36369c · outbound

This paper cites Furstenberg,Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions, J.

The sharp exponent for the minimal distance problem Furstenberg,Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions, J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:49.251934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0eb1878c-ef47-4aac-8c23-559de8cc6849 · outbound

This paper cites New bounds for the Furstenberg-S\'ark\"ozy theorem.

The sharp exponent for the minimal distance problem New bounds for the Furstenberg-S\'ark\"ozy theorem

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:49.369868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation caf93dc0-c118-41fb-9586-6353fe01c1c2 · outbound

This paper cites Hajir, C.

The sharp exponent for the minimal distance problem Hajir, C

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:49.480979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9809f6bf-3dd1-4ad5-9c48-36ad688b6529 · outbound

This paper cites Hunter, C.

The sharp exponent for the minimal distance problem Hunter, C

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:49.586623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8abe363-acd7-44f2-8e4c-78fc9fe745fc · outbound

This paper cites The Minkowski grid has robustly many repeated distances.

The sharp exponent for the minimal distance problem The Minkowski grid has robustly many repeated distances

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:49.667335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 749d34f0-82af-4ce1-b175-391c14e56744 · outbound

This paper cites Lewko,An improved lower bound related to the Furstenberg–Sárk˝ ozy theorem, Electron.

The sharp exponent for the minimal distance problem Lewko,An improved lower bound related to the Furstenberg–Sárk˝ ozy theorem, Electron

Reference 14

Resolution: malformed identifier; doi_truncated, observed 2026-08-01T10:03:26.454746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 02a4c069-735a-4ad3-8a03-4158d911cbe5 · outbound

This paper cites Logunov and D.

The sharp exponent for the minimal distance problem Logunov and D

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:49.896145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c32e8bc7-ee17-4333-8a02-62fddb7d2556 · outbound

This paper cites Martinet,Tours de corps de classes et estimations de discriminants, Invent.

The sharp exponent for the minimal distance problem Martinet,Tours de corps de classes et estimations de discriminants, Invent

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:50.032899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b442efa2-ee01-4074-a64a-af467ca132c2 · outbound

This paper cites Neukirch,Algebraic number theory, Grundlehren der Mathematischen Wissenschaften, vol.322, Springer- Verlag, Berlin,1999.

The sharp exponent for the minimal distance problem Neukirch,Algebraic number theory, Grundlehren der Mathematischen Wissenschaften, vol.322, Springer- Verlag, Berlin,1999

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:50.127147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7763f23f-23f8-4c63-a1c9-0cbf81aaa96d · outbound

This paper cites an unresolved cited work.

The sharp exponent for the minimal distance problem Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:50.215604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e70ee19-0428-4e4b-b91a-f32e30337fd5 · outbound

This paper cites Pintz, W.

The sharp exponent for the minimal distance problem Pintz, W

Reference 19

Resolution: verified exact; doi, observed 2026-08-01T10:03:26.253588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b6416572-9769-4a21-a6a7-e83920741374 · outbound

This paper cites Split primes and the Elekes-R\'onyai problem.

The sharp exponent for the minimal distance problem Split primes and the Elekes-R\'onyai problem

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:50.463386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04ab038a-f9fa-4810-94c8-3e7ce4a43e4e · outbound

This paper cites an unresolved cited work.

The sharp exponent for the minimal distance problem Unresolved cited work

Reference 21

Resolution: verified exact; doi, observed 2026-08-01T10:03:26.104981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation baae13b1-0949-432e-b85e-51d935c8e0ae · outbound

This paper cites Sárk˝ ozy,On difference sets of sequences of integers.

The sharp exponent for the minimal distance problem Sárk˝ ozy,On difference sets of sequences of integers

Reference 22

Resolution: verified exact; doi, observed 2026-08-01T10:03:25.920277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 89ea54d1-9b39-4869-8c0d-fb0aafac2926 · outbound

This paper cites Szemerédi and W.

The sharp exponent for the minimal distance problem Szemerédi and W

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:50.793188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00b45905-2fe9-4599-b183-0f4a7fbc9add · outbound

This paper cites Tao,A digestion of unit distance constructions, Blog Post, July3,2026.

The sharp exponent for the minimal distance problem Tao,A digestion of unit distance constructions, Blog Post, July3,2026

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:50.904973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f767da0-5989-4d38-8966-e25c19a6bcc3 · outbound

This paper cites an unresolved cited work.

The sharp exponent for the minimal distance problem Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:51.054019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 616b082c-2e0b-4bb5-a7dc-afb2baddb5a1 · outbound

This paper cites Zakharov,Small triangles, J.

The sharp exponent for the minimal distance problem Zakharov,Small triangles, J

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T09:59:51.125398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.