The Short Version
The ABC conjecture has not been proven in any broadly accepted sense as of March 18, 2026. While Mochizuki's proof was published by RIMS in Kyoto, leading mathematicians including Peter Scholze and Jakob Stix identified a serious, unfixable gap that remains unresolved. The RIMS publication carries a conflict of interest, and Joshi's subsequent defense is explicitly conditional on acceptance of enhancements the community has not endorsed. As of early 2026, the conjecture remains "a theorem in Kyoto, a conjecture everywhere else."