As of March 2026, the ABC conjecture is not widely recognized as proven. While Shinichi Mochizuki published a claimed proof in the Publications of the Research Institute for Mathematical Sciences (RIMS) in Kyoto, prominent mathematicians such as Peter Scholze and Jakob Stix have identified a critical, unaddressed gap in the argument.
The mathematical community has not accepted this proof due to this unresolved issue and concerns about the publication process at RIMS, which involved a conflict of interest. Subsequent defenses, including work by Kirti Joshi, are conditional and rely on enhancements that have not been endorsed by the broader community.
Major sources like Quanta Magazine and the Columbia Math Department's 'Not Even Wrong' blog confirm that, as of early 2026, the consensus remains: the ABC conjecture is regarded as a theorem only in Kyoto, but elsewhere it is still an open conjecture.