I supplied a copy of my congratulatory letter from the 46ers, not the Certificate of Accomplishment. The 111er application requires your 46er number, which you don't get until sometime in February of the following year.
Mike Dickerman was kind enough to use the congratulatory letter as "proof" of finishing the 46 in place of the official number. However, I did supply him with my 46er number later when it was assigned. You will have to wait until the AMC awards ceremony in April for the 111 Certificate.