When Carter is walking up to the door to break into the DNA lab, she is wearing black leather gloves. When she picks the lock, she is not wearing any gloves. After she goes through the door, she is now wearing latex gloves.
In his lecture, Harold claims that every finite sequence of numbers, i.e every text, information or set of data is confined in Pi's decimals, which would make Pi a normal number. As of 2024 it is not yet proven to be true. If it is, that isn't even unique to Pi. Several normal numbers have been constructed.
Finch repeats the claim that Pi is infinite and has no repeats, this is an often stated, but completely untrue hypothesis.
Since no-one can ever know all the digits of Pi, there is no way to know if there are repeats. It is untestable, therefore unprovable, therefore not a fact.
But more importantly (more obviously), is the fact that there are only 10 digits. Once 0 - 9 (inclusive) are used there are going to be repeats. The first 4 digits, 3.141, has already repeated 1. If you start picking the number of digits that constitutes a repeat, then the whole thing is meaningless, eg 5757575757 has no repeats if you pick a 5 digit limit.