I discuss a game-theoretic model in which scientists compete to finish the intermediate stages of some research project. Banerjee et al. have previously shown that if the credit awarded for intermediate results is proportional to their difficulty, then the strategy profile in which scientists share each intermediate stage as soon as they complete it is a Nash equilibrium. I show that the equilibrium is both unique and strict. Thus rational credit-maximizing scientists have an incentive to share their intermediate results, as long as this is sufficiently rewarded.