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We prove that the genus-0 sector of the quartic analogue of the Kontsevichmodel is completely governed by an involution identity which expresses themeromorphic differential $\omega_{0,n}$ at a reflected point $\iota z$ in termsof all $\omega_{0,m}$ with $m\leq n$ at the original point $z$. We prove thatthe solution of the involution identity obeys blobbed topological recursion,which confirms a previous conjecture about the quartic Kontsevich model.

Blobbed topological recursion of the quartic Kontsevich model II: Genus=0