The Collaborative International Dictionary of English v.0.48:

Parian \Pa"ri*an\, a. [L. Parius.]
   Of or pertaining to Paros, an island in the Aegean Sea noted
   for its excellent statuary marble; as, Parian marble.
   [1913 Webster]

   Parian chronicle, a most ancient chronicle of the city of
      Athens, engraved on marble in the Isle of Paros, now among
      the Arundelian marbles.
      [1913 Webster]