While present and able to be selected as an alternate racial trait, the effects of the trait itself is not yet implemented. (and it is noted as such)
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Add Magus, Alchemist, Witch, Anti-Paladin.
That appears to be all the core supplement classes.
I kinda figured it would take some work, and since I'm not 100% sure how things go on 'under the hood', I imagined it would be a tricky thing without some kind of rewiring how classes & spell lists are defined/generated. At least now you're aware of this [the trait and what it's supposed to do], so perhaps as things change over the future something can be done to get it implemented easier.
All the best,
Sorcerer/Wizard use the same list, as does Oracle/Cleric. Magus and Witch are Arcane; Anti-Paladin is Divine. Alchemist is... none of the above.
(wait-what? but they have a spell list?!)
Alchemists actually don't cast spells; they prepare their extracts and mutagens by accessing their formula books. They are a strange breed indeed...
I list all the classes, because we want to know WHICH class you are adding the spells too. Even if it doesn't do anything today.
Alchemists are odd. And someone has them listed as Arcane...
Ah, I see. Ok
Alchemists are still awaiting some errata from Paizo regarding their status as 'casters'; they act like spellcasters for the purposes of some feats, yet don't have caster levels- it is an on-going discussion.