Not bitcoin. Replicators don't run on bitcoin.
In a replicator society, the value of things becomes related to the energy and time it takes to make them, not in the scarcity of the materials and labor. Let's assume our replicator can transmute elements, so the main feed stock is water, split into hydrogen and oxygen, then transmuted into whatever elements are needed and assembled atom by atom. I'm sure some of the nuclear physicists here can calculate the minimum energy needed to do all the transmutations.
So where does the energy come from? This is the main point of scarcity. Energy. Sure, real estate, physical space, human labor (both physical and intellectual) still have value, but typically only one thing is the basis for a currency -- gold, a government's promise, blockchains, etc... In the replicator economy, the only thing that makes sense is energy. Units of energy will be traded as money. Need a new coat, that's four million units. A new yacht? Sixty trillion. If you've got the energy budget, you can have whatever you want within your budget and the size of your replicator will allow.
Again, where will all this energy come from? At the moment, the only thing that makes sense and can supply orders of magnitude more energy than we currently use is a Dyson Swarm. Basically, energy companies will never go away, nor the people who own/manage/organize and control them. There will always be rich people who get the prime real estate and have the best servants and use/consume the rarest goods. And the rest of us will look up to them and feel deprived, even though a modest life today offers far, far more variety and comfort than the wealthiest person of a century or two ago could have ever had. And pomp is vastly overrated.
Oh, if anyone thinks the residents of the future will only use a little more energy than we do, I'm sure the people of the 19th century probably believed the same thing. Who among us would willingly return to a time without AC, cars, computers, paved roads, modern medicine, etc. etc. etc. If we do fall back to a pre-industrial level, it will only be because of a lack of imagination, effort and will.