-3. Verify that the signature over the root of the Merkle Tree (computed using the instructions in the previous subsection) is authentic using the extracted public key from the previous step. This step effectively corresponds to a standard [digital signature](https://wikipedia.org/wiki/Digital_signature) verification process using ECDSA. There are many libraries in the most popular programming languages that allow verifying an ECDSA signature using a public key certificate over some data (for example, [ecdsa](https://pypi.org/project/ecdsa/) for Python).
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