I read your paper. It is concise and well-written. You do a good job of describing the economics of mining.
The intrinsic value of a bitcoin should therefore be the marginal cost of mining, or more abstractly the (computational) labor value of mining. ... I argue that computational labor power confers value to digital currencies such as bitcoin, and present a way to model that intrinsic value.
You claim that the intrinsic value of bitcoin depends on the production cost, but nowhere in the paper do you actually present any arguments to support your claim.
These equations are useful in application. It informs miners at which price they should undertake or give up mining. It also informs miners when to stop and start mining given changes in mining difficulty and in electricity costs.
These are interesting statements because they contradict your claim that the intrinsic value is the marginal cost. You imply here that if the cost rises beyond the break-even value, then the miner should stop mining (because it exceeds the value of the product), yet if the value rises to equal the cost (as you claim), then there would be no reason to stop.
I don't want to make this a microeconomics lesson -- but very briefly:
-the arguments for cost theories of value exist and go back to the time of Adam Smith, there is no need to restate centuries of theory in a small paper on a specific topic, if you are interested you can educate yourself there are a ton of resources for that.
-along the same lines, it is basic econ. theory that marginal cost = marginal product = price. All 3 equal each other in a competitive market. Marginal simply means the cost of the last unit produced. So it is the production on the margin that matters and not what has been produced in the past, for example. The break-even price is not the market price, the market price will fluctuate all the time do to imbalances in supply and demand.
-the value will only rise or fall based on the average cost for the network. That means there will always be some producers with lower than average costs that will earn excess profits and some who operate at a loss. Over time, the ones operating at a loss drop out of the market and the average efficiency tends to increase with those out of the picture. This will LOWER the value of bitcoin, not raise it since the average cost of production for the network will have decreased.