diff --git a/lib/src/dpop/dpop_signer_native.dart b/lib/src/dpop/dpop_signer_native.dart
index 975e404..14a571f 100644
--- a/lib/src/dpop/dpop_signer_native.dart
+++ b/lib/src/dpop/dpop_signer_native.dart
@@ -40,5 +40,4 @@ Future<String> signRs256(
   String signingInput,
   String privateKeyPem,
   String publicExponent,
-) async =>
-    signRs256Sync(signingInput, privateKeyPem);
+) async => signRs256Sync(signingInput, privateKeyPem);
diff --git a/lib/src/dpop/dpop_signer_web.dart b/lib/src/dpop/dpop_signer_web.dart
index 7166d43..f0ea269 100644
--- a/lib/src/dpop/dpop_signer_web.dart
+++ b/lib/src/dpop/dpop_signer_web.dart
@@ -97,8 +97,10 @@ Future<String> signRs256(
   String privateKeyPem,
   String publicExponent,
 ) async {
-  final key =
-      await (_keys[privateKeyPem] ??= _importKey(privateKeyPem, publicExponent));
+  final key = await (_keys[privateKeyPem] ??= _importKey(
+    privateKeyPem,
+    publicExponent,
+  ));
   final signature = await web.window.crypto.subtle
       .sign(_algorithm, key, Uint8List.fromList(utf8.encode(signingInput)).toJS)
       .toDart;
diff --git a/test/dpop_token_generator_test.dart b/test/dpop_token_generator_test.dart
index f211189..f558626 100644
--- a/test/dpop_token_generator_test.dart
+++ b/test/dpop_token_generator_test.dart
@@ -145,9 +145,15 @@ void main() {
     );
 
     // RS256 is deterministic: same key and input, same signature.
-    expect(await signRs256(input, _pem), signRs256Sync(input, _pem));
+    expect(
+      await signRs256(input, _pem, _jwk['e'] as String),
+      signRs256Sync(input, _pem),
+    );
     // And again, from the cached key.
-    expect(await signRs256(input, _pem), signRs256Sync(input, _pem));
+    expect(
+      await signRs256(input, _pem, _jwk['e'] as String),
+      signRs256Sync(input, _pem),
+    );
   });
 }