You can prove the mint has been successful directly on the blockchain, as well as view your domain name directly on the blockchain itself. To view your domain name directly in Polygon scan, first, go to polygonscan.com and search the public wallet that the domains have been claimed to:
Then, go to ERC-721 Token Txns. Click on the transaction hash of the claim transaction. If you are unsure which transaction this is, it will be the 'In' transaction that occurred at the same time as claiming your domain:
Click on the Txn hash, then go to "Logs". Here you can view the domain name by going to the third log set down, and changing the third data string from 'Hex' to 'Text' as below:
