Hat of the Magi (Greater)Equipment 9
Source Pathfinder Core Rulebook
Price 650 gp
Weight negligible
This hat comes in many forms, such as a colorful turban or a pointy hat with a brim, and can bear symbols or runes. It grants you a +2 item bonus to Arcana checks and allows you to cast the Prestidigitation cantrip as an arcane innate spell.
Activate 
Cast a Spell
Frequency once per day
Effect You cast a 4th-level arcane Summon Elemental spell.
Traits
Anything that doesn't list another rarity trait (uncommon, rare, or unique) automatically has the common trait. This rarity indicates that an ability, item, or spell is available to all players who meet the prerequisites for it. A creature of this rarity is generally known and can be summoned with the appropriate summon spell.
ArcaneThis magic comes from the arcane tradition, which is built on logic and rationality. Anything with this trait is magical.
ConjurationEffects and magic items with this trait are associated with the conjuration school of magic, typically involving summoning, creation, teleportation, or moving things from place to place.
InvestedA character can wear only 10 magical items that have the invested trait. None of the magical effects of the item apply if the character hasn't invested it, nor can it be activated, though the character still gains any normal benefits from wearing the physical item (like a hat keeping rain off their head).