Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 167-02. A power saving for planar unit distances
Manuscript map · lines 5525–5534
OpenAI@2026-10-07#rem:oai-p-167-02
Authors: OpenAI. Family 167.
Title: A power saving for planar unit distances.
Abstract: We prove a power saving for the planar unit-distance problem: for some absolute ${}beta{}lt 4/3$, every set of n points in the Euclidean plane determines $O(n{}{}beta)$ unordered pairs at unit distance.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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