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With the rapid development of information technology, medical treatments are gradually transforming into digitalization and informatization. The diverse sources and scopes of the medical data are sensitive and significant. As important data assets, medical data are constantly being analyzed and mined. Because of the huge commercial value of medical data, the problems of privacy leakage exist in the centralized information system. They cannot adapt to complex medical environment. Most of the current authentication mechanisms use passwords for verification. It is not easy for users to remember all usernames and passwords. Based on these problems, we design single-sign-on (called SSO) authentication (Password Single-Sign-On Authentication scheme, PSSOA) and blockchain (Improved Cross-Blockchain based Privacy-Preserving Date Sharing scheme, ICPDS) fusion schemes. Users are verified by multiple identity servers in this scheme. Then identity servers issue authentication tokens with threshold manners. The protected identity servers regularly update their master secret shares to defend against malicious adversaries. &nbsp