ON THE VERIFICATION OF INTER-UNIVERSAL
TEICHM¨ULLER THEORY: A PROGRESS
REPORT (AS OF DECEMBER 2014) Shinichi Mochizuki
(検証についての箇所抜粋）
My understanding, at present, concerning the verification
of IUTeich is that
at least with regard to the substantive mathematical aspects of such a
verification, the verification of IUTeich is, for all practical purposes, complete;
nevertheless, as a precautionary measure, in light of the importance
of the theory and the novelty of the techniques that underlie the theory,
it seems appropriate that a bit more time be allowed to elapse before a
final official declaration of the completion of the verification of IUTeich
is made.
On the other hand, I should also state that, although such precautionary measures
may serve a meaningful role for a limited amount of time, I am not of the opinion
that such precautionary measures should be maintained for periods of, say, the
order of 20 ∼ 30 years. That is to say, although there are perhaps numerous
approaches to the issue of computing an appropriate length of duration for such
precautionary measures, my current sense is that the length of duration of such
precautionary measures should not exceed 10 years, i.e., counting from the time
of the first oral presentation of the theory (i.e., in October 2010) and the posting
of the series of papers on the theory (i.e., in August 2012). Put another way, my
current sense is that some date during the latter half of the 2010’s would be an
appropriate time for the termination of such precautionary measures.

日本語版の方が簡潔だけど、文字化けするので。
改めて読むと2010年代後半というスケジュールどおり進めている。。
また全体の文章を通読すると査読についても十分認識しているし、
今回の論文のPRIMS掲載は詳細は分からないが、
彼にとっては通過儀礼で「正しい理論」の検証は
だれがなんと言おうが終了したということだろう。