With the addition of Draconis Mons, Empyreal Fragments can also be obtained by farming Primordial Orchids.

Only those really desperate to maximize fragments need to resort to chest farming. You can farm about 100 per day this way in less than an hour. You get 1-3 fragments, per chop (normally 3 chops per stump but you can get more). NOTE: As of the addition of Ember Bay, chopping the petrified wood stumps will yield Empyreal fragments in far greater quantity than chest farming, but not as good as silverwaste shovel farming. 200 each of Empyreal Fragment, Dragonite Ore and Bloodstone Dust are required to make one Lesser Vision Crystal. One Lesser Vision Crystal is required to craft each piece of Ascended-Armor (except for chest-pieces). 500 each of Empyreal Fragment, Dragonite Ore and Pile of Bloodstone Dust are required to make one Vision Crystal. One of these is required to craft each Ascended-Weapon or Ascended-Armor. I have found that Empyreal Fragments are the most difficult component of a Vision Crystal and Lesser Vision Crystal to obtain.

Eternium ore farming