https://www.princeton.edu/news/2021/06/08/princeton-will-require-employees-receive-covid-19-vaccine-updates-public-health

"Employees are expected to act honestly and ethically. The University will not routinely check whether individuals who are not practicing social distancing indoors are vaccinated except in response to credible complaints. However, the University retains the right to undertake periodic compliance reviews to protect the community, and any employee found to be falsely claiming to be vaccinated will be subject to discipline up to and including termination."

so… that's not like hitler at all.