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This paper presents design and implementation of a remote Procedure call (RPC) API for programming applications on Peer-to-Peer environments. The P2P-RPC API is designed to address one of neglected aspect of Peer-to-Peer the lack of a simple programming interface. In this paper we examine one concrete implementation of the P2P-RPC-API derived from OmniRPC (an existing RPC API for the Grid based on Ninf system). This new API is implemented on top of low-level functionalities of the XtremWeb Peer-to-Peer Computing System. The minimal API defined in this paper provides a basic mechanism to make migrate a wide variety of applications using RPC mechanism to the Peer-to-Peer systems. We evaluate P2P-RPC for a numerical application (NAS EP Benchmark) and demonstrate its performance and fault tolerance properties.