diff --git a/test/test_loopy.py b/test/test_loopy.py
index 10171ef6e87e6e32f8796f9a72dfe72d715619e2..c0eeea3b18fef78a9fc5b4761c44985223dd38ae 100644
--- a/test/test_loopy.py
+++ b/test/test_loopy.py
@@ -3263,6 +3263,20 @@ def test_redn_in_predicate(ctx_factory):
     lp.auto_test_vs_ref(knl, ctx, knl)
 
 
+def test_obj_tagged_is_persistent_hashable():
+    from loopy.tools import LoopyKeyBuilder
+    from pytools.tag import tag_dataclass, Tag
+    from loopy.match import ObjTagged
+
+    lkb = LoopyKeyBuilder()
+
+    @tag_dataclass
+    class MyTag(Tag):
+        pass
+
+    assert lkb(ObjTagged(MyTag())) == lkb(ObjTagged(MyTag()))
+
+
 if __name__ == "__main__":
     if len(sys.argv) > 1:
         exec(sys.argv[1])