 This paper proposes a new framework for Unilateral Entity Authentication in the Internet of Things, IOT. The framework is based on the one-message Unilateral Entity Authentication, OMUEA, scheme, which uses a single message per session and light computations for both the prover and the verifier. The authors first show that OMUEA schemes can be implemented using digital signatures, and then they extend the work of young at all from ASI-ACCS 2020 to their framework. They also propose an OMUEA scheme based on the hardness of the discrete logarithm problem, which further reduces the computational burden on the prover. Their findings provide feasible options for implementing secure continuous entity authentication in IOT applications. This article was authored by Alfredo DeSantis, Annalisa Ferrara, Manuela Flores, and others.