Please note the following, excerpted from §367.3 of the OT Rules.

(c) The licensee is solely responsible for keeping accurate documentation of all continuing education requirements. Continuing education documentation must be maintained for auditing purposes for four years from the end of the expiration month of the corresponding renewal period or for a late renewal or a restoration, for four years from the end of the month when the late renewal or restoration was completed.

When you renew, you attest to having met CE requirements. Part of such is having the documentation of your CE. You are required to keep your CE documentation. You will need to ensure that if you do ever need to print your certificate, you will be able to do so from the electronic form of the certificate you have kept. As noted, you are required to keep your CE documentation.

Refer to the OT Rules for further regulations.