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Erdős problem 90: unit distances

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Overview

The maintained problem entry records the near-linear upper-bound question, its 1946 origin and the 2026 disproof, while retaining the unresolved extremal growth question.

Source publication and attributed assessments are distinct from independent OpenMath review.

Passages

The exact passages cited in OpenMath. Each passage identifies how its wording was recorded.

Passage 1 · OpenMath paraphrasePermalink

Problem 90; historical question and background

The maintained problem entry records the near-linear upper-bound question, its 1946 origin and the 2026 disproof, while retaining the unresolved extremal growth question.

Passage details

Passage ID: erdos-unit-distances:entry:question:v1

Source item: question

Source record: erdos-unit-distances:source:question:v1

Used in

Explicit citations in versioned problem publications. A citation records a use; it does not confer proof or independent verification.

Erdős unit-distance problem →

Problem publication v6

Problem context · 4 citations

History

Erdős introduces the planar distance question

Further reading

Consult the original question and its hypotheses.

Credits

Recorded authorship

Erdős Problems

AI involvement not reported

No specific AI contribution is attributed by this source record.

Versions

OpenMath source records preserve exact citations. Observation dates order these records; they do not establish the latest upstream paper or proof.

  1. Observed 2026-10-13 · selectedObserved Oct 13, 2026 · used in current publications

    Erdős problem 90: unit distances

Record details
Source ID
erdos-unit-distances-question
Record ID
erdos-unit-distances:source:question:v1
Recorded title
Erdős problem 90: unit distances
Revision
Observed 2026-10-13
Observed
Oct 13, 2026
Source updated
Not recorded
Content SHA-256
69f159e038a00a4e2accd2859c543fae19cb8588517a91d40dfd93482a799f93
Update method
Compare the exact source and publish a new immutable curation revision.
Identifier policy
Stable source identity with exact versioned passages.
Check interval
90 days
Rights
metadata-link
License
Original source license and document rights apply.

OpenMath supplies its own mathematical paraphrases and links; proof text is not republished.

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