Ok, lets infringe a bit of copyrights from around the world... think in the number pi. There, you have it, inside it probably are encrypted all the past, present and future movies, books, songs, images, genes, or whatever could be ever copyrighted in the most stupid copyright system of the history. Also you have the text of all national security documents, the passwords of all the servers and personal computers of the world, all the pins from all credit cards and detailed instructions on how to build any weapon, to name just a few things.
So, as you have all that information (no matter if you can actually access to it or not), you get sued.
Oh, the dictionary argument: since the dictionary contains all English words, no composition using strictly dictionary words should be copyrightable. Eh, eh? *wink wink*
When you have "the text of all national security documents" et cetera inside pi, it's all useless unless you have a key to actually specify and find the information you're looking for. By uniquely specifying a position and length within the digits of pi, you've just defined an encoding.
You're precisely one step beyond "it can't be a movie, it's just a string of ones and zeroes!" It's juvenile and unoriginal.