RobotFingerPrint is an innovative representation method for multi-robot grasp synthesis that utilizes a unified coordinate space. It employs latitude and longitude as coordinates, creating a two-dimensional surface of a sphere in three-dimensional space, shared by all robotic arms. This technology establishes a correspondence between the robotic arms and objects by mapping the palm surfaces to the unified coordinate space and designing a conditional variational autoencoder to predict unified coordinates for given input objects. It effectively solves optimization problems related to grasp postures and finger joint configurations, significantly enhancing the success rate and diversity of grasp synthesis for various robotic arms.