Abstract: To address the security risks posed by quantum computers, the U.S. National Institute of Standards and Technology (NIST) has standardized the post-quantum signature schemes ML-DSA, FN-DSA, and SLH-DSA. While ML-DSA and FN-DSA are lattice-based, SLH-DSA relies on hash-based assumptions. To support cryptographic agility against future vulnerabilities, NIST is evaluating non-lattice candidates as alternatives to SLH-DSA. Among these, TCitH-based schemes are particularly promising due to their compact keys and small signatures. However, their high computational complexity and memory footprint pose significant challenges for efficient implementations on resource-constrained embedded platforms. They remain largely unexplored in this context, particularly in ASIC implementations. To address this gap, we use a cross-layer methodology combining algorithmic and hardware layers to present, to the best of our knowledge, the first ASIC implementation of Mirath, a TCitH-based signature scheme, in a RISC-V-based system. The design is implemented in a 22nm FD-SOI technology node. Compared with an SLH-DSA ASIC implemented in the same technology node, the proposed architecture achieves 17.8x lower signing latency while requiring 58% less total cell area, showing the potential of TCitH-based signatures as efficient non-lattice alternatives from an implementation perspective.