diff --git a/docs/x509.rst b/docs/x509.rst
index 262ba30..a3426a2 100644
--- a/docs/x509.rst
+++ b/docs/x509.rst
@@ -187,12 +187,8 @@
         :type: :class:`~cryptography.hazmat.primitives.hashes.HashAlgorithm`
 
         Returns the
-        :class:`~cryptography.hazmat.primitives.hashes.HashAlgorithm` used in
-        the certificate's signature.
-
-        .. note::
-            Items signed by the parsed certificate do not have to use the same
-            hash algorithm.
+        :class:`~cryptography.hazmat.primitives.hashes.HashAlgorithm` which
+        was used in signing the certificate.
 
         .. doctest::
 
@@ -369,32 +365,32 @@
 Signature Algorithm OIDs
 ~~~~~~~~~~~~~~~~~~~~~~~~
 
-.. data:: OID_MD5_WITH_RSA
+.. data:: OID_MD5_WITH_RSA_ENCRYPTION
 
     Corresponds to the dotted string ``"1.2.840.113549.1.1.4"``. This is
     an MD5 digest signed by an RSA key.
 
-.. data:: OID_SHA1_WITH_RSA
+.. data:: OID_SHA1_WITH_RSA_ENCRYPTION
 
     Corresponds to the dotted string ``"1.2.840.113549.1.1.5"``. This is
     a SHA1 digest signed by an RSA key.
 
-.. data:: OID_SHA224_WITH_RSA
+.. data:: OID_SHA224_WITH_RSA_ENCRYPTION
 
     Corresponds to the dotted string ``"1.2.840.113549.1.1.14"``. This is
     a SHA224 digest signed by an RSA key.
 
-.. data:: OID_SHA256_WITH_RSA
+.. data:: OID_SHA256_WITH_RSA_ENCRYPTION
 
     Corresponds to the dotted string ``"1.2.840.113549.1.1.11"``. This is
     a SHA256 digest signed by an RSA key.
 
-.. data:: OID_SHA384_WITH_RSA
+.. data:: OID_SHA384_WITH_RSA_ENCRYPTION
 
     Corresponds to the dotted string ``"1.2.840.113549.1.1.12"``. This is
     a SHA384 digest signed by an RSA key.
 
-.. data:: OID_SHA512_WITH_RSA
+.. data:: OID_SHA512_WITH_RSA_ENCRYPTION
 
     Corresponds to the dotted string ``"1.2.840.113549.1.1.13"``. This is
     a SHA512 digest signed by an RSA key.
diff --git a/src/cryptography/x509.py b/src/cryptography/x509.py
index 0273ca8..774830d 100644
--- a/src/cryptography/x509.py
+++ b/src/cryptography/x509.py
@@ -29,19 +29,19 @@
     "2.5.4.65": "pseudonym",
     "0.9.2342.19200300.100.1.25": "domainComponent",
     "1.2.840.113549.1.9.1": "emailAddress",
-    "1.2.840.113549.1.1.4": "md5WithRSA",
-    "1.2.840.113549.1.1.5": "sha1WithRSA",
+    "1.2.840.113549.1.1.4": "md5WithRSAEncryption",
+    "1.2.840.113549.1.1.5": "sha1WithRSAEncryption",
     "1.2.840.113549.1.1.14": "sha224WithRSAEncryption",
     "1.2.840.113549.1.1.11": "sha256WithRSAEncryption",
     "1.2.840.113549.1.1.12": "sha384WithRSAEncryption",
     "1.2.840.113549.1.1.13": "sha512WithRSAEncryption",
-    "1.2.840.10045.4.3.1": "ecdsa_with_SHA224",
-    "1.2.840.10045.4.3.2": "ecdsa_with_SHA256",
-    "1.2.840.10045.4.3.3": "ecdsa_with_SHA384",
-    "1.2.840.10045.4.3.4": "ecdsa_with_SHA512",
-    "1.2.840.10040.4.3": "dsaWithSHA1",
-    "2.16.840.1.101.3.4.3.1": "dsa_with_SHA224",
-    "2.16.840.1.101.3.4.3.2": "dsa_with_SHA256",
+    "1.2.840.10045.4.3.1": "ecdsa-with-SHA224",
+    "1.2.840.10045.4.3.2": "ecdsa-with-SHA256",
+    "1.2.840.10045.4.3.3": "ecdsa-with-SHA384",
+    "1.2.840.10045.4.3.4": "ecdsa-with-SHA512",
+    "1.2.840.10040.4.3": "dsa-with-sha1",
+    "2.16.840.1.101.3.4.3.1": "dsa-with-sha224",
+    "2.16.840.1.101.3.4.3.2": "dsa-with-sha256",
 }
 
 
@@ -157,12 +157,12 @@
 OID_DOMAIN_COMPONENT = ObjectIdentifier("0.9.2342.19200300.100.1.25")
 OID_EMAIL_ADDRESS = ObjectIdentifier("1.2.840.113549.1.9.1")
 
-OID_MD5_WITH_RSA = ObjectIdentifier("1.2.840.113549.1.1.4")
-OID_SHA1_WITH_RSA = ObjectIdentifier("1.2.840.113549.1.1.5")
-OID_SHA224_WITH_RSA = ObjectIdentifier("1.2.840.113549.1.1.14")
-OID_SHA256_WITH_RSA = ObjectIdentifier("1.2.840.113549.1.1.11")
-OID_SHA384_WITH_RSA = ObjectIdentifier("1.2.840.113549.1.1.12")
-OID_SHA512_WITH_RSA = ObjectIdentifier("1.2.840.113549.1.1.13")
+OID_MD5_WITH_RSA_ENCRYPTION = ObjectIdentifier("1.2.840.113549.1.1.4")
+OID_SHA1_WITH_RSA_ENCRYPTION = ObjectIdentifier("1.2.840.113549.1.1.5")
+OID_SHA224_WITH_RSA_ENCRYPTION = ObjectIdentifier("1.2.840.113549.1.1.14")
+OID_SHA256_WITH_RSA_ENCRYPTION = ObjectIdentifier("1.2.840.113549.1.1.11")
+OID_SHA384_WITH_RSA_ENCRYPTION = ObjectIdentifier("1.2.840.113549.1.1.12")
+OID_SHA512_WITH_RSA_ENCRYPTION = ObjectIdentifier("1.2.840.113549.1.1.13")
 OID_ECDSA_WITH_SHA224 = ObjectIdentifier("1.2.840.10045.4.3.1")
 OID_ECDSA_WITH_SHA256 = ObjectIdentifier("1.2.840.10045.4.3.2")
 OID_ECDSA_WITH_SHA384 = ObjectIdentifier("1.2.840.10045.4.3.3")
@@ -172,12 +172,12 @@
 OID_DSA_WITH_SHA256 = ObjectIdentifier("2.16.840.1.101.3.4.3.2")
 
 _SIG_OIDS_TO_HASH = {
-    OID_MD5_WITH_RSA.dotted_string: hashes.MD5(),
-    OID_SHA1_WITH_RSA.dotted_string: hashes.SHA1(),
-    OID_SHA224_WITH_RSA.dotted_string: hashes.SHA224(),
-    OID_SHA256_WITH_RSA.dotted_string: hashes.SHA256(),
-    OID_SHA384_WITH_RSA.dotted_string: hashes.SHA384(),
-    OID_SHA512_WITH_RSA.dotted_string: hashes.SHA512(),
+    OID_MD5_WITH_RSA_ENCRYPTION.dotted_string: hashes.MD5(),
+    OID_SHA1_WITH_RSA_ENCRYPTION.dotted_string: hashes.SHA1(),
+    OID_SHA224_WITH_RSA_ENCRYPTION.dotted_string: hashes.SHA224(),
+    OID_SHA256_WITH_RSA_ENCRYPTION.dotted_string: hashes.SHA256(),
+    OID_SHA384_WITH_RSA_ENCRYPTION.dotted_string: hashes.SHA384(),
+    OID_SHA512_WITH_RSA_ENCRYPTION.dotted_string: hashes.SHA512(),
     OID_ECDSA_WITH_SHA224.dotted_string: hashes.SHA224(),
     OID_ECDSA_WITH_SHA256.dotted_string: hashes.SHA256(),
     OID_ECDSA_WITH_SHA384.dotted_string: hashes.SHA384(),