Tribute to Eugene Varshavsky bwahhahahahahahahah

Each cell in the lower-right 9×9 grid must contain a positive integer or be left blank. Numbers on the outside of the grid indicate the sums of one or more adjacent digits in that row or column, in order. Each sum is separated by at least one blank cell. No number can be repeated in a row or column.
There are two possible solutions. You have to work out which one is “correct” and why.

Okay, this is probably not my best creation, but hopefully the humour makes up for the lack of quality ?

NOTE: This type of puzzle is known as Japanese Sums. If you are unfamiliar with this type of puzzle, a good introduction is available here.