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In database-as-a-service (DAS) computing paradigm, data owners delegate database management tasks to service provider. Since the service provider is untrusted, query authentication becomes an essential issue before database outsourcing. In previous research, various authentication data structures (ADS) have been proposed. However, most of them are either disk-based or static. Considering service provider usually owns large memory and powerful processors, in this paper we propose a dynamic main memory ADS based on skip list, which could provide efficient authentication for range query both in static and in dynamic scenarios. Experimental results confirm our claim through a systematic analysis of verification metrics.