First off the scarcity or plentifulness of a large crypto-swap-derivative Medium of Labour Exchange "currency" is irrelevant, especially if it is exchange-valued by a central authority. Moreover since it's value is backed by the values of the labours done for it, it need not represent nor also be something or anything else in particular that it is not. That said, it still must have some "pegged to the value something else" currency-exchange stability against other currencies in the outside world.
In today's world the most likely fairly stable and widely demanded candidate for pegging it's value against would be the value of oil, or of some other renewable portable energy products or baskets of them. I specify "renewable" because to peg an economic communities' Medium of Labour Exchange currency exchange value to the value of some other commodity of monopolizable rarity is a recipe for certain eventual debt slavery to the Pharaohs of that monopoly.
Bitcoin Over the Counter (OTC) Funded Swap Derivatives are exchange-valued the way a penny stock is valued. The exchange valu of a Bitcoin is determined solely by the mischievous stock speculator antics of
it's deregulated penny-stock markets who pose as currency exchanges. Their exchange value inflation or deflation has zero to do with the supply of them or with any increase in it.
The "mining operation" merely funds the transaction network that supports them.
One that was run by a public communities' central authority could be "reserved" like any other Medium of Labour Exchange token (greenback) system is thus making taxes obsolete, as the profit from the state loaning it would be the public income of those who used it. Just like Julius Caesar, Henry 1st, Washington and Lincoln did, and JFK might have.
Never make the mistake of confusing a wealth (the values of gold, oil or other such squat) with a money (the values of all labours)