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Cloud computing brings convenience to the users by providing computational resources and services. However, it comes with security challenges, such as unreliable cloud service providers that could threaten users’ data integrity. Therefore, we need a data verification protocol to ensure users’ data remains intact in the cloud storage. The data verification protocol has three important properties: public verifiability, privacy preservation, and blockless verification. Unfortunately, various existing signcryption schemes do not fully provide those important properties. As a result, we propose an improved version of a signcryption technique based on the short signature ZSS that can fulfill the aforementioned data verification important properties. Our computational cost and time complexity assessment demonstrates that our suggested scheme can offer more characteristics at the same computational cost as another ZSS signcryption scheme.