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There were numerous hints and foreshadowing to Ougi's identity, yet I somehow didn't think of the most blatant one until recently. That one hint being the "Ougi Formula". The first episode of Owarimonogatari was titled Ougi Formula. The most prominent formula in that episode was Euler's identity: e^(iπ)+1=0. In a way, I interpreted Ougi Formula as the formula that explains Ougi's identity.
If Euler's identity were slightly rearranged, then you would get: e^(iπ) = 1. The left side mirrors how we viewers perceived Ougi; in that it looks rather complicated and mysterious. The right side simplifies things. Let's assume "1" refers to Araragi, as the primary or main character of the Monogatari Series. Using Euler's identity, Ougi is simply the negative of "1" (Araragi). I would go into the left side of the equation but that's rather involved. It is worth noting that the mathematical character "i" refers to imaginary numbers. That could be an allusion to the fact that Ougi is an apparition.
Specific definitions used in the above reasoning:
Formula  a general fact, rule, or principle expressed in usually mathematical symbols.
Negative  expressing or containing negation or denial.
Primary  first or highest in rank or importance; chief; principal.

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^giving me flashbacks to my complex analysis class
Interesting how people interpret mathematical notation

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On a related note, I'm curious if Kanbaru ever learned of Ougi's true identity. I don't think she did by the time of Hanamonogatari. During that arc, Kanbaru was rather cold and guarded against Ougi. If she did know, I imagined she wouldn't be so unfriendly towards Ougi.
Could it be an oversight on Araragi and Hanekawa's part? Those two should have known that the information is important for Kanbaru; who is in the same Naoetsu High School class as Ougi and, by the start of Hanamonogatari, still dealing with a Devil arm.
