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This paper contributes to build a quantitative approach for digital identity assurance. We propose to use a hierarchical structure level to define the assurance level, taking weighted affiliation information into consideration for assurance level; thus creating a more practical assurance supporting model is designed for any digital identities. In doing this an accurate mathematical framework is constructed to calculate the exact assurance level for any digital identities. The paper contributes a concrete architecture of registration authority of digital identity associated with a hierarchical domain name structure for registration authority. The mechanism of assurance support for digital identities can be broadly applied in any federated digital identity management systems.