The document proposes a novel scheme for privacy-preserving public auditing of integrity for shared data stored in the cloud. It utilizes ring signatures to generate verification metadata (i.e. homomorphic authenticators) that allow a public auditor to efficiently audit the correctness of shared data without retrieving the entire data files. The proposed scheme ensures the identity of the signer on each block is kept private from public verifiers during the auditing process. It also extends the scheme to support simultaneous auditing of multiple tasks to improve efficiency. The results demonstrate the scheme achieves privacy-preserving public auditing with high security and negligible overhead.