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Another point is, our users are not limited to EU-students. If we just rely on and depend on EUDI-Wallets, it means we exclude a big amount of students, universities, etc. who(which) are not located in EU and has no EU ID. Other wallets, could present any edu-credentials which issued by our ecosystem. But edu-credential management is our task. It could be implemented via our wallet. Another technical question here is, whether it should be implemented via our wallet or our integrable agent which introduce wallet APIs? Identity agents are software services that manage all the stuff in the wallet. Agents store, update, retrieve, and delete all the artifacts that a wallet holds. So, it could be interoperable with any type of identity wallet. It may mean focusing on back-end instead of front-end.
We should also pay attention to large-scale activities like DC4EU, specially WP7(Integrations and Development) led by SUNET [3]
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[4] DIGITAL IDENTITY WALLET BENEFITS AND RISKS
[5] The Advantages and Risks of Moving Your Money to a Digital Wallet