diff --git a/nip49/nip49_test.go b/nip49/nip49_test.go
index 2e31fc5..1be8735 100644
--- a/nip49/nip49_test.go
+++ b/nip49/nip49_test.go
@@ -1,6 +1,8 @@
 package nip49
 
 import (
+	"errors"
+	"slices"
 	"strings"
 	"testing"
 )
@@ -51,3 +53,21 @@ func TestEncryptAndDecrypt(t *testing.T) {
 		}
 	}
 }
+
+func TestNormalization(t *testing.T) {
+	nonce := []byte{1, 2, 3, 4}
+	n := 8
+	key1, err1 := getKey(string([]byte{0xE2, 0x84, 0xAB, 0xE2, 0x84, 0xA6}), nonce, n)
+	key2, err2 := getKey(string([]byte{0xC3, 0x85, 0xCE, 0xA9}), nonce, n)
+	key3, err3 := getKey("ÅΩ", nonce, n)
+	key4, err4 := getKey("ÅΩ", nonce, n)
+	if merr := errors.Join(err1, err2, err3, err4); merr != nil {
+		t.Fatalf("getKey errored: %s", merr)
+		return
+	}
+
+	if !slices.Equal(key1, key2) || !slices.Equal(key2, key3) || !slices.Equal(key3, key4) {
+		t.Fatalf("normalization failed")
+		return
+	}
+}