June 2025 monthly summary for 0xPARC/pod2 focused on delivering new capabilities in the recursive plonky2 circuit. Key achievement: introduced an exponentiation gate to the recursion circuit, expanding the expressiveness of recursive proofs and enabling exponentiation operations within the existing circuit framework. This feature was implemented as part of the Feat/add exp gate (#257) and committed in e8edbbc1c54df0b167087a5e0dd5223d1d91814e. The work represents a significant step in expanding the gate set used by recursive circuits, aligning with the project’s goals of supporting more complex cryptographic proofs while maintaining compatibility with existing infrastructure. No major bugs were documented for this period; the focus was on feature delivery and integration. Overall, the month delivered a concrete capability that increases the feasibility and performance of advanced proofs in the pod2 repository, paving the way for future optimizations and broader use of exponentiation in recursive circuits.