The Apiarist Database is an item from Extra Bees that shows all discovered bees that have been bred in your own Apiary/Alveary. The Apiarist Database keeps track of species, where they live (Climate, biomes, humidity), what they produce, resulting mutations and possible mutations. Possible mutations are only recorded when they are done in your own Apiary/Alveary, and when the recording place is available. The possible and resulting mutations when undiscovered, will tell you if you have the species required to perform the breeding to it or from it.
In creative mode, or in NEI, you can find the Master Apiarist Database (Flora-In-A-Box). The Master Apiarist Database is the same thing as an Apiarist Database, except it already has everything filled in. Simple as that. The Master Apiarist Database is not craftable.