Any dyes that dissolve in Acetone, xylene or MEK can be added to oil based paint for bleed thru. Oil based woodstain also works, bitumen will work, raven oil will work, magic ink and oil based shoe dye will do the job. Essentially anything that stains which has an oil base or a solvent that dissolves in oil for a base will work. I use a bitumen based recipe for my black GK and its a bitch to buff and stains and bleeds through but it's completely weather resistant like paint.
But woodstain is probably easier.