The University of Austin (UATX) plans to open in fall 2024, with its first class initially sized comparable to Caltech's student body.
“when do you plan on opening it fall of 2024 is our goal for the first class to be about the size of caltech at first is the hope” View on YouTube
UATX did open in fall 2024 as predicted, but the class size claim doesn't hold up well: the inaugural cohort was 92 students, well under half of Caltech's roughly 235-student freshman class (and a small fraction of Caltech's ~900-student total undergraduate body), so 'comparable to Caltech's student body' overstates the actual size even though both are small, elite institutions.