Everyone wants to pull them out
The origin of conspiratorial objects is not known. It's not known where they came from. It's unknown if their actions are motivated by any objectives. It's not known how they came into being or how they were created. Due to their mysterious abnormalities — they don't lend themselves to be classified; due to their unnatural powers — they actively prevent classification.
Conspiratorial objects endeavour to destroy of the Foundation in a very unpleasant way — through indirect influence. They understand the concept of "destruction" both as the physical collapse of every Site as well as global exposure of the Foundation. Even though the organization seems to be helpless in face of their actions, after all is said, it still knows they exist.
That might turn out to be its greatest achievement.
But they always come back
Introductory Tale: What are conspiratorial objects?
Currently known objects