It's important to remember that "beyond a reasonable doubt" means exactly that: no "reasonable" person would doubt it. (The definition of reasonable is left to the jury.)
Some people seem to think "beyond a reasonable doubt" means the same as "beyond any shadow of a doubt" - but they are very different standards!
You don't actually have to. You just have to convince 12 people that you did it. If this were so trivial to get away with people would you know actually be doing it.
Basically, jury nullification is a thing, and this is the same principle backward.