Hi - yes, absolutely, for each ADR you make online you receive a confirmation number.
When you book online, you search for a time for each restaurant and then place that ADR you choose in a dining cart, like a shopping cart.
When you check out, you see a confirmation number for each ADR. You can copy and paste the numbers at that point into another document. You should also be emailed a list of your ADRs with confirmation numbers after the fact.
If you need to work with any ADR again online, say to cancel one, you will need the confirmation number and your phone number in order to retrieve it. The system doesn't have a feature to retrieve your ADRs by your login or email.