Maybe the pitchers are dying because they are at the end of their life cycle. Are all of them dying? I just got one and three pitchers are doing the same thing, but I don't think its a problem.

It could be an old leaf, whose time has come, or more likely it is experiencing some shock from a significant change (to the given plant) to its conditions (temp, humidity, lighting). Give it time, like a few weeks to acclimate.

I second petiolaris. any significant change that occurs quickly can cause pitcher dieback. Particularly humidity and temperature. If the leaves look supple and are not wilting or drying, then the plant is fine, it just did not like something changing too quickly.

Old pitchers WILL die off in the late winter early spring. Got to make way for NEW ones!

Tom