Did it achieve dollar parity? Why is the appropriate unit 1 BTC and 1 Federal Reserve Note (FRN)? Wouldn't parity imply an equal value between commensurate units, rather than between incommensurate units?
For example, if a kilogram of silver is trading at the same price as a troy ounce of gold, are gold and silver at parity? Obviously not
If a barrel of oil is trading at the same price as a pound of filet mignon, are oil and filet at parity? Again, obviously not
If a blessing of unicorns is trading at the same price as an aisling of leprechauns, are they at parity? Who can tell?
So an FRN which is a debt for nothing in particular probably cannot be said to be at parity with Bitcoin which is a ledger entry for nothing in particular. Unless of course the two nothings are the same