This is a very good and clear explanation of how bitcoin type blockchains work. It could easily have been made simpler and more general at the same time by omitting the proof of work aspect, which is not even discussed actually. The "begin with four zeros" rule is completely arbitrary, it could be any prefix of any length depending on the necessary amount of work that you want, including zero. And with an empty prefi…
Is it necessary to be based on the prefix, or can it be implemented by pattern, for instance, every even byte is zero, or the 4 bytes after the first 3 bytes must be all 7s, etc? Is it simply brute-forcing hashes, looking for matching patterns that are not yet known?
That way we can make small adjustments to the difficulty. If we actually used a rule like "this many zeros in hex", the difficulty bumps would have to be rather large.