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Recently, social network privacy becomes a hot issue in the field of privacy. We are concerned about the path nodes in the social network. With the knowledge of the two endpoints of a path, the adversary can attack the privacy of the nodes on this path. In this paper, we define the adversary's background knowledge, propose the anonymity model, and propose PN- Anonymity algorithm to adjust paths. Experimental results show that our algorithms can achieve the path nodes anonymous, and information loss can be well controlled to ensure the availability of information.