Is that this definition of Problem appropriate?
Sure.
If sure, is it correct to consider Problem as a sort of proportion or ratio?
Sure, it’s what number of instances more durable present blocks are to mine than blocks within the first issue epoch have been.
For reference, issue 1 corresponds to (very near) 4295032833 hash makes an attempt per block. It has a goal of (precisely) 26959535291011309493156476344723991336010898738574164086137773096960.
Block 822627 has a goal of (precisely) 374406027949793378682501776760424667692437142927048704.
The ratio between these two large numbers is (roughly) 72006146478567.1. That’s the issue of block 822627. It’s roughly 72006 billion instances more durable to mine a block at present than it was in January 2009.
And if it’s a floating level quantity, what’s its precision?
No matter precision you calculate it to. Typical implementations will use a floating-point information sort within the computation, which vital limits its precision.
But it surely’s actually simply the ratio of two large numbers. You possibly can calculate it to a lot greater precision too. Block 822627 has issue
72006146478567.09941095874369093485414495333341140374503764945604440…
That a lot precision is not wanted, as the issue is de facto simply used for presenting the hardness of mining a block to people. Internally the software program makes use of the goal, which is precise.
Lastly, might somebody please verify the system used to match a hash towards the Goal, to see if it mines a legitimate block?
The requirement is: block_hash ≤ goal (the place block_hash is the block hash interpreted as 256-bit little-endian quantity). The decrease the goal is, the more durable it’s to land under it. In a method, the issue is a measure for “goal lowness”.
For extra sensible use, how would you symbolize this system utilizing Problem as a substitute of the Goal?
Maybe one thing like block_hash_diff ≥ issue, the place block_hash_diff is the ratio between the primary block’s goal (given above) and the block’s precise goal?
