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Data integrity is data that has a complete or whole structure. All characteristics of the data including business rules, rules for how pieces of data relate, dates, definitions and lineage must be correct for data to be complete. Data integrity check is an important way to ensure data integrity. In Cloud Computing, the management of the data and services may not be fully trustworthy. It brings in many new security challenges, such that it has become crucial for an archive service to be capable of providing evidence to demonstrate the integrity of data stored in it. In this paper, we study the problem of ensuring the integrity of data storage in Cloud Computing. And a new data integrity check scheme is proposed based on the well-known RSA security assumption. The obvious advantage of our scheme is that the client did not need to keep the copy data in the client. So it indeed relieves the storage burden in client.