A wireless sensor networks（WSNs） is highly vulnerable to security attacks due to the numerous resource-constrained devices.It is crucial to provide security services to WSNs to ensure its survival.Focusing on the authentication in WSNs

a robust entity authentication services is proposed based on secret sharing scheme that ensures the survivability of the network.Analytical results show that the protocol is robust against compromised sensor nodes and efficient with low computation and storage overhead on the sensor nodes.