There are many proofs to prove that Lord Caitanya is actually the Supreme Lord. Of course, the most famous that we quote is from the Bhagavatam:
yajanti hi su-medhasaḥ
So, Prabhupada has given us several proofs, and actually Bhaktivinoda Thakura did a little research on this, so did Bhaktisiddhanta Sarasvati Thakura and they’ve have come up with about uh, 50 slokas from the different puranas, upanisads from the Mahabharata describing that in the Kali yuga the Lord comes as yellow color, the avatara in Kali-yuga is known as Mahaprabhu, saying uh, that uh, the Lord comes, distributes the Harinama in the Kali-yuga. He comes as a sannyasi, as a channa-avatara, there are so many slokas, I did not memorize all of them. Mahaprabhu, ei yuga… So there are many, many proofs in the uh, Vedas that all indicate that Lord Caitanya Mahaprabhu Himself is the fulfillment of the prediction that Krishna would come as a sannyasi, as a hidden avatara, as a person giving out the sankirtana movement. There is no one else who has done that, there is no one else who fulfilled those qualifications. And Lord Caitanya when He was here, He actually did everything that was predicted and He did things which were extraordinary. Even Sarvabhauma Bhattacarya, he accepted that Lord Caitanya was Krishna Himself.
H.H. Jayapataka Swami maharaj
28th March 1983, Gaura Purnima SB class @ Mayapur