I was once surprised to see a US admission stamp in a friend's US passport. However, I saw in another question that some Americans have their passports stamped often when entering the US, so this was not an isolated incident.
- Is there an official source that indicates a purpose for these stamps?
- Is there any rule for why these stamps are given out sometimes but not always?
- Would these stamps always be given on request (e.g., for Americans who want to prove that they did not overstay in a foreign country)?