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Every clue lies on a single diagonal: the cell where slice X = k, Y = k and Z = k all meet holds the digit k. Nine digits, nine cells, one straight line through the body of the cube — and because each cell is seen from three directions, all 27 slices start with exactly one clue: slice k is empty but for a k.
There is a cube behind those nine clues, and reveal will give you its digits one at a time. But nine clues cannot pin down 729 cells, so you will not deduce your way to it: build a cube that keeps every slice legal, fill all 27, and however you got there you have finished it.
Cutting plane
This slice
Reveal gives this cube's own digit. With nine clues you cannot deduce which cube that is, so it may disagree with entries that were legal when you made them.