May be try to define a "reproducible" h-index, ie your publication doesn't count or count less until a different team has reproduced your results, the team doing the reproducing work gets some points to.

(And may be add more points if in order to reproduce you didn't have to ask plenty of questions to the original team, ie the original paper didn't omit essential information)

The thing is, that would encourage two teams to cheat together, it would displace the problem, I'm not sure it will limit the effect that much (?)