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<p>the introduction of a centralized authority (<a href="page.php?w=proof-of-authority">proof-of-authority</a>) for <a href="page.php?w=blind_signature">blind signature</a>s and, particularly in offline systems, <a href="page.php?w=Secret_sharing">secret splitting</a>. Other methods to mitigate the double-spend problem include decentralized consensus protocols such as <a href="page.php?w=proof-of-work">proof-of-work</a> and <a href="page.php?w=proof-of-stake">proof-of-stake</a>.</p>

<p><big>Centralized digital currencies</big></p>
<p>Prevention of double-spending</p><p>
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