Independent by design
HowToUseAstra.com is an independent publication. We are not affiliated with, endorsed by, or sponsored by OpenAI. The site uses public materials and does not imply privileged access.
Our source hierarchy
We start with OpenAI’s announcement, full manuscript, reasoning walkthroughs, and released Lean repository. Historical claims are linked to original papers or authoritative references. Comparisons use current official sources from the organizations involved.
Labels we use
Confirmed directly supported by a primary source.
Reported by OpenAI describes OpenAI’s account without turning it into an independent finding.
Direct mathematical consequence follows from the stated result.
Plausible research direction is a reasonable next question, not a promised application.
Broader speculation goes beyond what the published work establishes.
Unknown has no concrete public answer at the time of checking.
Formal verification is not significance review
Lean can mechanically check whether formal proof steps follow from encoded assumptions. It cannot determine whether a theorem is important, whether the statement captures the headline, or whether an idea will matter outside its field. Those remain questions for human mathematical interpretation and independent evaluation.
Corrections
Pages display last-verified dates. The work may change as mathematicians evaluate the manuscripts. If you spot a factual error or a source that has moved, email corrections@howtouseastra.com with the page, claim, and source.
Current site verification date: 2026-08-01.