In the Advanced Player's Guide, the text says that an eidolon gains 6+Int skill points per hit die, but the Table 2-9:Eidolon Base Statistics shows only 4 skill points per hit die. Which is correct?
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Both are correct, there is no contradiction.
Being an Outsider, the Eidolon enjoys 6+Int modifier skill points per level.
Your basic Eidolon comes with an Int of 7, which equals a -2 modifier.
So, 6-2 = 4 skill points per level.
If the Summoner increases his Eidolon's Int, the Eidolon will retroactively gain skill points, just as a character does.