Remarks on the disproof of the unit distance conjecture
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arXiv
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911700507164672 |
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| author | Alon, Noga Bloom, Thomas F. Gowers, W. T. Litt, Daniel Sawin, Will Shankar, Arul Tsimerman, Jacob Wang, Victor Wood, Melanie Matchett |
| author_facet | Alon, Noga Bloom, Thomas F. Gowers, W. T. Litt, Daniel Sawin, Will Shankar, Arul Tsimerman, Jacob Wang, Victor Wood, Melanie Matchett |
| contents | We present a short, digested, human-verified version of the recent OpenAI-generated counterexample to the Erdős unit distance conjecture, and a sequence of reflections on it. The argument relies crucially on ideas that may, at least in retrospect, be attributed to Ellenberg-Venkatesh, Golod-Shafarevich, and Hajir-Maire-Ramakrishna. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20695 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Remarks on the disproof of the unit distance conjecture Alon, Noga Bloom, Thomas F. Gowers, W. T. Litt, Daniel Sawin, Will Shankar, Arul Tsimerman, Jacob Wang, Victor Wood, Melanie Matchett Combinatorics Number Theory We present a short, digested, human-verified version of the recent OpenAI-generated counterexample to the Erdős unit distance conjecture, and a sequence of reflections on it. The argument relies crucially on ideas that may, at least in retrospect, be attributed to Ellenberg-Venkatesh, Golod-Shafarevich, and Hajir-Maire-Ramakrishna. |
| title | Remarks on the disproof of the unit distance conjecture |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2605.20695 |