Reports of Harvard’s alleged decline are greatly exaggerated.
Nobel Prizes Won by Alumni:
Harvard - 66
Stanford - 12
https://en.wikipedia.org/wiki/List_of_Nobel_laureates_by_university_affiliation
U.S. Rhodes Scholarship Winners:
Harvard - 358
Stanford - 99
http://www.rhodesscholar.org/assets/uploads/RS_Number%20of%20Winners%20by%20Institution_1_30_17.pdf
The Fields Medal - For outstanding contributions in mathematics attributed to young scientists
Fields Medals Won by Alumni:
Harvard - 7
Stanford - Zero
https://en.wikipedia.org/wiki/List_of_Fields_Medal_winners_by_university_affiliation
The Turing Award - For outstanding contributions in computer science
Turing Awards Won by Alumni:
Harvard - 9
Stanford - 7
https://en.wikipedia.org/wiki/List_of_Turing_Award_laureates_by_university_affiliation