diff --git a/ChangeLog b/ChangeLog
index 3cba7fb..621e6fb 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -3,6 +3,11 @@
 = mbed TLS 2.x.x branch released xxxx-xx-xx
 
 Security
+    * Add checks to prevent signature forgeries for very large messages while
+      using RSA through the PK module in 64-bit systems. The issue was caused by
+      some data loss when casting a size_t to an unsigned int value in the
+      functions rsa_verify_wrap(), rsa_sign_wrap(), rsa_alt_sign_wrap() and
+      mbedtls_pk_sign(). Found by Jean-Philippe Aumasson.
    * Removed MD5 from the allowed hash algorithms for CertificateRequest and
      CertificateVerify messages, to prevent SLOTH attacks against TLS 1.2.
      Introduced by interoperability fix for #513.
diff --git a/library/pk.c b/library/pk.c
index 10bd0a5..8d13bc5 100644
--- a/library/pk.c
+++ b/library/pk.c
@@ -29,6 +29,8 @@
 #include "mbedtls/pk.h"
 #include "mbedtls/pk_internal.h"
 
+#include "mbedtls/bignum.h"
+
 #if defined(MBEDTLS_RSA_C)
 #include "mbedtls/rsa.h"
 #endif
@@ -39,6 +41,8 @@
 #include "mbedtls/ecdsa.h"
 #endif
 
+#include <limits.h>
+
 /* Implementation that should never be optimized out by the compiler */
 static void mbedtls_zeroize( void *v, size_t n ) {
     volatile unsigned char *p = v; while( n-- ) *p++ = 0;
@@ -209,6 +213,11 @@
         int ret;
         const mbedtls_pk_rsassa_pss_options *pss_opts;
 
+#if defined(MBEDTLS_HAVE_INT64)
+        if( md_alg == MBEDTLS_MD_NONE && UINT_MAX < hash_len )
+            return( MBEDTLS_ERR_PK_BAD_INPUT_DATA );
+#endif /* MBEDTLS_HAVE_INT64 */
+
         if( options == NULL )
             return( MBEDTLS_ERR_PK_BAD_INPUT_DATA );
 
@@ -232,7 +241,7 @@
         return( 0 );
 #else
         return( MBEDTLS_ERR_PK_FEATURE_UNAVAILABLE );
-#endif
+#endif /* MBEDTLS_RSA_C && MBEDTLS_PKCS1_V21 */
     }
 
     /* General case: no options */
diff --git a/library/pk_wrap.c b/library/pk_wrap.c
index 712ad48..db6274c 100644
--- a/library/pk_wrap.c
+++ b/library/pk_wrap.c
@@ -30,6 +30,7 @@
 
 /* Even if RSA not activated, for the sake of RSA-alt */
 #include "mbedtls/rsa.h"
+#include "mbedtls/bignum.h"
 
 #include <string.h>
 
@@ -49,6 +50,8 @@
 #define mbedtls_free       free
 #endif
 
+#include <limits.h>
+
 #if defined(MBEDTLS_PK_RSA_ALT_SUPPORT)
 /* Implementation that should never be optimized out by the compiler */
 static void mbedtls_zeroize( void *v, size_t n ) {
@@ -74,6 +77,11 @@
 {
     int ret;
 
+#if defined(MBEDTLS_HAVE_INT64)
+    if( md_alg == MBEDTLS_MD_NONE && UINT_MAX < hash_len )
+        return( MBEDTLS_ERR_PK_BAD_INPUT_DATA );
+#endif /* MBEDTLS_HAVE_INT64 */
+
     if( sig_len < ((mbedtls_rsa_context *) ctx)->len )
         return( MBEDTLS_ERR_RSA_VERIFY_FAILED );
 
@@ -93,6 +101,11 @@
                    unsigned char *sig, size_t *sig_len,
                    int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
 {
+#if defined(MBEDTLS_HAVE_INT64)
+    if( md_alg == MBEDTLS_MD_NONE && UINT_MAX < hash_len )
+        return( MBEDTLS_ERR_PK_BAD_INPUT_DATA );
+#endif /* MBEDTLS_HAVE_INT64 */
+
     *sig_len = ((mbedtls_rsa_context *) ctx)->len;
 
     return( mbedtls_rsa_pkcs1_sign( (mbedtls_rsa_context *) ctx, f_rng, p_rng, MBEDTLS_RSA_PRIVATE,
@@ -402,6 +415,11 @@
 {
     mbedtls_rsa_alt_context *rsa_alt = (mbedtls_rsa_alt_context *) ctx;
 
+#if defined(MBEDTLS_HAVE_INT64)
+    if( UINT_MAX < hash_len )
+        return( MBEDTLS_ERR_PK_BAD_INPUT_DATA );
+#endif /* MBEDTLS_HAVE_INT64 */
+
     *sig_len = rsa_alt->key_len_func( rsa_alt->key );
 
     return( rsa_alt->sign_func( rsa_alt->key, f_rng, p_rng, MBEDTLS_RSA_PRIVATE,
diff --git a/tests/suites/test_suite_pk.data b/tests/suites/test_suite_pk.data
index 22a7fa8..f6ea378 100644
--- a/tests/suites/test_suite_pk.data
+++ b/tests/suites/test_suite_pk.data
@@ -150,3 +150,6 @@
 depends_on:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_RSA_C
 mbedtls_pk_check_pair:"data_files/ec_256_pub.pem":"data_files/server1.key":MBEDTLS_ERR_PK_TYPE_MISMATCH
 
+RSA hash_len overflow (size_t vs unsigned int)
+depends_on:MBEDTLS_RSA_C:MBEDTLS_HAVE_INT64
+pk_rsa_overflow:
diff --git a/tests/suites/test_suite_pk.function b/tests/suites/test_suite_pk.function
index 08a2623..5fa8a69 100644
--- a/tests/suites/test_suite_pk.function
+++ b/tests/suites/test_suite_pk.function
@@ -5,6 +5,9 @@
 #include "mbedtls/ecp.h"
 #include "mbedtls/rsa.h"
 
+/* For detecting 64-bit compilation */
+#include "mbedtls/bignum.h"
+
 static int rnd_std_rand( void *rng_state, unsigned char *output, size_t len );
 
 #define RSA_KEY_SIZE 512
@@ -414,6 +417,34 @@
 }
 /* END_CASE */
 
+/* BEGIN_CASE depends_on:MBEDTLS_RSA_C:MBEDTLS_HAVE_INT64 */
+void pk_rsa_overflow( )
+{
+    mbedtls_pk_context pk;
+    size_t hash_len = (size_t)-1;
+
+    mbedtls_pk_init( &pk );
+
+    TEST_ASSERT( mbedtls_pk_setup( &pk,
+                 mbedtls_pk_info_from_type( MBEDTLS_PK_RSA ) ) == 0 );
+
+#if defined(MBEDTLS_PKCS1_V21)
+    TEST_ASSERT( mbedtls_pk_verify_ext( MBEDTLS_PK_RSASSA_PSS, NULL, &pk,
+                    MBEDTLS_MD_NONE, NULL, hash_len, NULL, 0 ) ==
+                 MBEDTLS_ERR_PK_BAD_INPUT_DATA );
+#endif /* MBEDTLS_PKCS1_V21 */
+
+    TEST_ASSERT( mbedtls_pk_verify( &pk, MBEDTLS_MD_NONE, NULL, hash_len,
+                    NULL, 0 ) == MBEDTLS_ERR_PK_BAD_INPUT_DATA );
+
+    TEST_ASSERT( mbedtls_pk_sign( &pk, MBEDTLS_MD_NONE, NULL, hash_len, NULL, 0,
+                    rnd_std_rand, NULL ) == MBEDTLS_ERR_PK_BAD_INPUT_DATA );
+
+exit:
+    mbedtls_pk_free( &pk );
+}
+/* END_CASE */
+
 /* BEGIN_CASE depends_on:MBEDTLS_RSA_C:MBEDTLS_PK_RSA_ALT_SUPPORT */
 void pk_rsa_alt( )
 {
@@ -461,6 +492,11 @@
     /* Test signature */
     TEST_ASSERT( mbedtls_pk_sign( &alt, MBEDTLS_MD_NONE, hash, sizeof hash,
                           sig, &sig_len, rnd_std_rand, NULL ) == 0 );
+#if defined(MBEDTLS_HAVE_INT64)
+    TEST_ASSERT( mbedtls_pk_sign( &alt, MBEDTLS_MD_NONE, hash, (size_t)-1,
+                          NULL, NULL, rnd_std_rand, NULL ) ==
+                 MBEDTLS_ERR_PK_BAD_INPUT_DATA );
+#endif /* MBEDTLS_HAVE_INT64 */
     TEST_ASSERT( sig_len == RSA_KEY_LEN );
     TEST_ASSERT( mbedtls_pk_verify( &rsa, MBEDTLS_MD_NONE,
                             hash, sizeof hash, sig, sig_len ) == 0 );