Definition ∞ Succinctness preservation, particularly in the context of cryptographic proofs like zero-knowledge proofs, refers to the ability to maintain a small, fixed size for a proof regardless of the complexity of the statement it verifies. This property is vital for scalability, as it minimizes the data required for verification on a blockchain. It ensures efficient data transmission and storage.
Context ∞ This technical attribute is a primary objective in the development of advanced scaling solutions for blockchains, such as ZK-rollups. News often highlights progress in achieving greater succinctness, as it directly impacts transaction throughput and cost reduction. The ongoing research in zero-knowledge cryptography consistently aims to optimize for this property.