When and who coined the term "mining"?
From Satoshi's paper (my emphasis):


  By convention, the first transaction in a block is a special
  transaction that starts a new coin owned by the creator of the block. 
  This adds an incentive for nodes to support the network, and provides
  a way to initially distribute coins into circulation, since there is
  no central authority to issue them. The steady addition of a constant
  of amount of new coins is analogous to gold miners expending resources
  to add gold to circulation.  In our case, it is CPU time and
  electricity that is expended.


I don't know of any other examples where the word has been used in a similar manner.