Hope? I hope Bitcoin is backed by something stronger than hope.
Yup, it's backed by hope. Maths, Self-Interest and Hope, but of these the greatest is Hope.
Maths and self-interest might turn out to do what we need them to, but it's not a sure thing. We'll know more in a few years, when the mining business has completed the inevitable transition from benevolent gentleman anarchists to psychopaths with MBAs.