  A common practice in arithmetic geometry is that of generalizing rational
points on projective varieties to integral points on quasi-projective
varieties.
  Following this practice, we demonstrate an analogue of a result of L.
Caporaso, J. Harris and B. Mazur, showing that the Lang - Vojta conjecture
implies a uniform bound on the number of stably integral points on an elliptic
curve over a number field, as well as the uniform boundedness conjecture
(Merel's theorem).
