How to Verify a RSA-SHA512 XML Signature in .NET?

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With the help of the MSDN site about SignedXml, I can easily verify if an XML DSig is correct. It works perfectly if the signature method sha1 was used.

However, when I receive the SignatureMethod RSA-SHA512 (http://www.w3.org/2001/04/xmldsig-more#rsa-sha512), CheckSignature() breaks with an CryptograhicException: SignatureDescription could not be created for the signature algorithm supplied.

It seems like CheckSignature() is not able to verify RSA-SHA512 signatures.

Does anyone know how to check these kind of signatures?

The code, taken from the MSDN site, is:

public static bool VerifyXml(XmlDocument doc, bool removeSignatureElement = false)
{
    // Check arguments.
    if (doc == null)
        throw new ArgumentException("doc");

    // Create a new SignedXml object and pass it the XML document class.
    SignedXml signedXml = new SignedXml(doc);

    // Find the "Signature" node and create a new XmlNodeList object.
    XmlNodeList nodeList = doc.GetElementsByTagName("Signature", Constants.NamespaceDSig);

    // Throw an exception if no signature was found.
    if (nodeList.Count < 1)
    {
        throw new CryptographicException("Verification failed: No Signature was found in the document.");
    }

    // This example only supports one signature for the entire XML document.  Throw an exception if more than one signature was found.
    if (nodeList.Count > 1)
    {
        throw new CryptographicException("Verification failed: More that one signature was found for the document.");
    }

    // Load the first <signature> node.  
    signedXml.LoadXml((XmlElement)nodeList[0]);

    // Check the signature and return the result.
    bool signedCorrectly = signedXml.CheckSignature(); // throws the Exception!!!

    return signedCorrectly;
}

The signed XML is:

<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<Notification xmlns="http://www.xxxxxxxxxxx.xx/xxxxx">
    <xenc:EncryptedData xmlns:xenc="http://www.w3.org/2001/04/xmlenc#" Type="http://www.w3.org/2001/04/xmlenc#Content"> ... </xenc:EncryptedData>
    <ds:Signature xmlns:ds="http://www.w3.org/2000/09/xmldsig#">
        <ds:SignedInfo>
            <ds:CanonicalizationMethod Algorithm="http://www.w3.org/TR/2001/REC-xml-c14n-20010315"/>
            <ds:SignatureMethod Algorithm="http://www.w3.org/2001/04/xmldsig-more#rsa-sha512"/>
            <ds:Reference URI="">
                <ds:Transforms>
                    <ds:Transform Algorithm="http://www.w3.org/2000/09/xmldsig#enveloped-signature"/>
                    <ds:Transform Algorithm="http://www.w3.org/TR/2001/REC-xml-c14n-20010315#WithComments"/>
                </ds:Transforms>
                <ds:DigestMethod Algorithm="http://www.w3.org/2000/09/xmldsig#sha1"/>
                <ds:DigestValue>WsHcyNL7Jh8HSzR9ArzTqomBkHs=</ds:DigestValue>
            </ds:Reference>
        </ds:SignedInfo>
        <ds:SignatureValue>
pWDatSEbypIUVQR9NFmLkB9kKWjMb6rKWGFFvGqT5tOUILeDhMHUqjCRB9v/g6yYdogC9TRWouhz
...VoZAIBs7EqCbLt7RgpB4GHWc9E3qp65NaCgluw==
        </ds:SignatureValue>
        <ds:KeyInfo>
            <ds:X509Data>
                <ds:X509Certificate>
MIIG+zCCBOOgAwIBAgIHAe2+sRfTfDANBgkqhkiG9w0BAQUFADCBkTELMAkGA1UEBhMCQVQxDTAL
...tvawqBjOfkw1yeDzsDMJHfMuAcpYfrEL
                </ds:X509Certificate>
            </ds:X509Data>
        </ds:KeyInfo>
    </ds:Signature>
</Notification>
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