Zero-knowledge proof systems for 0xagentprivacy. Activates when discussing ZKP circuits (Groth16, PLONK, Nova), proof composition, Privacy Pool cryptography, reconstruction resistance R(d), h(τ) attestation chains, or sovereignty-class proof optimisation. Core cryptographic skill. V6 register note (2026-06-10): conjecture and version citations resolve to agentprivacy-docs/research/CONJECTURE_REGISTER_V6.md (head C89); model head: privacy_value_v6_formal_specification.md.