{"id":66046,"date":"2026-09-17T10:30:00","date_gmt":"2026-09-17T10:30:00","guid":{"rendered":"https:\/\/www.scientificamerican.com\/article\/openai-cracks-the-hidden-math-that-keeps-your-texts-from-turning-to-gibberish\/"},"modified":"2026-09-17T10:30:00","modified_gmt":"2026-09-17T10:30:00","slug":"openai-cracks-the-hidden-math-that-keeps-your-texts-from-turning-to-gibberish","status":"publish","type":"post","link":"https:\/\/hoo.central12.com\/fugic\/2026\/09\/17\/openai-cracks-the-hidden-math-that-keeps-your-texts-from-turning-to-gibberish\/","title":{"rendered":"OpenAI cracks the hidden math that keeps your texts from turning to gibberish"},"content":{"rendered":"<p>The surprising real-world applications of high-dimensional sphere packing and the 48-year-old barrier that OpenAI just broke<\/p>","protected":false},"excerpt":{"rendered":"<p>The surprising real-world applications of high-dimensional sphere packing and the 48-year-old barrier that OpenAI just broke<\/p>\n","protected":false},"author":586,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-66046","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/posts\/66046"}],"collection":[{"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/users\/586"}],"replies":[{"embeddable":true,"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/comments?post=66046"}],"version-history":[{"count":1,"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/posts\/66046\/revisions"}],"predecessor-version":[{"id":66047,"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/posts\/66046\/revisions\/66047"}],"wp:attachment":[{"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/media?parent=66046"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/categories?post=66046"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/tags?post=66046"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}