You can access it here: https://lib.pstcc.edu/nytimes.
To create your free account, Go to AccessNYT.com. Choose your campus from the dropdown menu. Click on create account, enter your campus email address. Create a password. Then indicate you are a student and choose your graduation year. Go to your PSCC email and verify your NYT email receipt. When your "pass" expires, go to above link to get a new one.
The link is at the bottom of the NYT home page here:
