Minor nitpick: at cryptography you are not trusting math, because it has not been mathematically proven that no algorythm exists to break a certain crypto metho

Minor nitpick: at cryptography you are not trusting math, because it has not been mathematically proven that no algorythm exists to break a certain crypto method in five seconds on an off-the-shelf processors given only the cyphertext (except possibly for one-time pads with their drawbacks). But after hardworking experts try and fail for years to break a crypto method, you can somewhat trust that attackers won't find it either.