Paper Citation Record · LEDGER

The Minkowski grid has robustly many repeated distances

As of 11 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2607.05374.

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

pith.paper-citation-record.v1
2607.05374 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-07T14:33:29.284345Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T09:59:49.667335Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

verified exact7
verified fuzzy2
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 12963a57-aef6-4f38-b61a-613ef5db4c19 · outbound

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

The Minkowski grid has robustly many repeated distances Remarks on the disproof of the unit distance conjecture

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-07-07T14:33:54.293125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 11e26fd2-3441-4196-bf49-2a6f11acc5ce · outbound

This paper cites Balogh and J.

The Minkowski grid has robustly many repeated distances Balogh and J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T14:33:54.470946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation eb215f08-3bbc-4754-8380-55479a45530e · outbound

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

The Minkowski grid has robustly many repeated distances The sum-product conjecture is false for real numbers

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-07-07T14:33:54.282826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 80e5c487-4d4c-4bcf-8562-8bb181c13323 · outbound

This paper cites PatternBoost: Constructions in Mathematics with a Little Help from AI.

The Minkowski grid has robustly many repeated distances PatternBoost: Constructions in Mathematics with a Little Help from AI

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-07-07T14:33:54.280137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 76c432ca-ac76-4e1f-9747-5f3eb2eadd99 · outbound

This paper cites A combinatorial large sieve for Sidon sets, distances, and norm forms.

The Minkowski grid has robustly many repeated distances A combinatorial large sieve for Sidon sets, distances, and norm forms

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-07-07T14:33:54.290651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c34f12c5-cbb7-4ad9-af85-279ea0033e18 · outbound

This paper cites an unresolved cited work.

The Minkowski grid has robustly many repeated distances Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-07-07T14:33:54.465117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d9ba6729-d5c6-4e85-8566-02f4e525aa01 · outbound

This paper cites an unresolved cited work.

The Minkowski grid has robustly many repeated distances Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-07T14:33:54.467121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ffcd0969-938f-4565-8599-e0993246f79c · outbound

This paper cites an unresolved cited work.

The Minkowski grid has robustly many repeated distances Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-07-07T14:33:54.469223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6f32af0e-6d4d-4856-b255-41d174d62363 · outbound

This paper cites [OptCon] D.

The Minkowski grid has robustly many repeated distances [OptCon] D

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T14:33:54.462957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 73e5885d-91db-4b43-bbc9-42a387e5d021 · outbound

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

The Minkowski grid has robustly many repeated distances Split primes and the Elekes-R\'onyai problem

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-07T14:33:54.285464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 70701b73-e694-4449-9857-9168b399e75d · outbound

This paper cites An explicit lower bound for the unit distance problem.

The Minkowski grid has robustly many repeated distances An explicit lower bound for the unit distance problem

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-07-07T14:33:54.295557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a847c7fb-05ed-4208-a87c-c993c778ea30 · outbound

This paper cites Distinct Distances: Open Problems and Current Bounds.

The Minkowski grid has robustly many repeated distances Distinct Distances: Open Problems and Current Bounds

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-07T14:33:54.288038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 60be5538-ebaf-4847-96af-83ea92f3fd08 · outbound

This paper cites an unresolved cited work.

The Minkowski grid has robustly many repeated distances Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-07-07T14:33:54.472791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

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

The sharp exponent for the minimal distance problem cites this paper.

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.