diff --git a/requests_http_signature/__init__.py b/requests_http_signature/__init__.py
index a61e67c..4786131 100644
--- a/requests_http_signature/__init__.py
+++ b/requests_http_signature/__init__.py
@@ -13,7 +13,7 @@ class Crypto:
             from cryptography.hazmat.backends import default_backend
             from cryptography.hazmat.primitives.asymmetric import rsa, ec
             from cryptography.hazmat.primitives.asymmetric.padding import PKCS1v15
-            from cryptography.hazmat.primitives.hashes import SHA1, SHA256
+            from cryptography.hazmat.primitives.hashes import SHA1, SHA256, SHA512
         self.__dict__.update(locals())
 
     def sign(self, string_to_sign, key, passphrase=None):
@@ -23,6 +23,9 @@ class Crypto:
         if self.algorithm in {"rsa-sha1", "rsa-sha256"}:
             hasher = self.SHA1() if self.algorithm.endswith("sha1") else self.SHA256()
             signer = key.signer(padding=self.PKCS1v15(), algorithm=hasher)
+        elif self.algorithm in {"rsa-sha512"}:
+            hasher = self.SHA512()
+            signer = key.signer(padding=self.PKCS1v15(), algorithm=hasher)
         elif self.algorithm == "ecdsa-sha256":
             signer = key.signer(signature_algorithm=self.ec.ECDSA(algorithm=self.SHA256()))
         signer.update(string_to_sign)
@@ -44,6 +47,7 @@ class HTTPSignatureAuth(requests.auth.AuthBase):
     known_algorithms = {
         "rsa-sha1",
         "rsa-sha256",
+        "rsa-sha512",
         "hmac-sha256",
         "ecdsa-sha256",
     }