Like I said there isn't a paint gene. And usually breeding a black to a white silkie won't give you paints.
There's two different kinds of whites. Recessive white is what silkies are. With them it takes a white gene from both parents to produce a white chick. If the offspring only gets one copy it will be black or what have you and carry one copy of white sight unseen.
The other white gene is dominate white. That is the white involved in paints.dominate white is dominate so it only takes one copy to show. With one copy though it doesn't make a completely white bird. It lets some color show up in specks or splotches. That's what a paint is. Just one copy of dominate white.
That is also why they won't breed true. Since each paint has one copy of DW and one copy of no DW they have the option of passing DW to their offspring but the same chance of not passing it on.
50% of the offspring will end up with one copy. 25% will get no copy from either parent and not have white at all. The other 25% will get a copy from both parents and with two copies be completely white so no spots.
If you get one with two copies and breed it with a black you will get 100% paints since the offspring can only get one copy from the white parent and not a copy from the black parent.
Make sense?
I know paints are coming in other colors now. I've seen paints, blue paints and hear of people using blacks with leakage.
Another interesting thing about DW is that it doesn't do much for covering gold/red. There's other breeders using it on partridge type silkies so the red on wing bars and breast etc. shows so you get a white bird with some red showing.
Search red pyle silkie. I think I may be interesting if someone would combine the pyle with blue paints then you would have red, white and blue silkies. But that's a whole new subject.