PQ provers for P2PKH outputs

The discussion revolves around the evaluation of Post-Quantum (PQ) proof systems, specifically in the context of proving ownership of a Bitcoin Pay to Public Key Hash (P2PKH) address without disclosing the public key. This approach introduces a significant challenge for integrating such systems into the existing Bitcoin network through a soft fork upgrade. Traditionally, verification of ownership in the Bitcoin protocol requires exposure of the public key and the validation of an ECDSA signature by network participants. The necessity for old clients to see the public key and verify an ECDSA signature to maintain compatibility and ensure security poses a barrier to adopting PQ proof systems directly within the current framework. This constraint could potentially hinder the seamless transition to post-quantum cryptographic practices, emphasizing the need for innovative solutions that can bridge the gap between current methodologies and future-proof cryptographic standards.