{"id":"openai-math/The-maximum-number-of-mutually-unbiased-bases-in-dimension-six","pdf":"https://github.com/openai/math/blob/main/preprints/The-maximum-number-of-mutually-unbiased-bases-in-dimension-six-September-24-2026/The-maximum-number-of-mutually-unbiased-bases-in-dimension-six-September-24-2026.pdf","url":"https://github.com/openai/math/tree/main/preprints/The-maximum-number-of-mutually-unbiased-bases-in-dimension-six-September-24-2026","tags":["quantum-information","mutually-unbiased-bases","computer-assisted-proof"],"score":0,"title":"The maximum number of mutually unbiased bases in dimension six","domain":"Mathematical physics","family":"266","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.MP","summary":"OpenAI manuscript claiming a computer-assisted exclusion of a fourth mutually unbiased basis in C^6, conditional on the stated binary64/compiler assumptions. The October 26 repository history reports restoration of C++ source, saved numerical records, and a Python consistency/coverage checker. No numerical replay or independent verification is asserted by this listing.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":1,"published":"2026-09-24","reactions":{},"discussion":[{"url":"https://x.com/PI010101/status/2108763310380159406","date":"2026-10-10","kind":"x","added":"2026-10-24","author":"Paata Ivanisvili","handle":"PI010101"}],"formalized":false,"family_title":"Exactly three mutually unbiased bases in dimension six"}