This document presents a research paper on reliability of data sharing in cloud computing. It discusses how identity-based remote data integrity checking can securely verify that a cloud server is storing data honestly without privacy issues. The proposed method uses key-homomorphic cryptographic primitives to reduce complexity compared to traditional public key infrastructure approaches. It formalizes the security model and properties of the new primitive. The researchers present a construction of their identity-based remote data integrity checking protocol and prove it achieves soundness and perfect data privacy. They analyze the security and efficiency of the protocol, finding it to be secure and practical for real-world applications. The paper concludes by discussing future work on group management with forward and backward secrecy over time durations and recovery