diff --git a/fastapi/_compat/v2.py b/fastapi/_compat/v2.py
index 0b31d47fc..2a9a82df1 100644
--- a/fastapi/_compat/v2.py
+++ b/fastapi/_compat/v2.py
@@ -510,10 +510,13 @@ if shared.PYDANTIC_VERSION_MINOR_TUPLE >= (2, 6):
     def omit_by_default(field_info: FieldInfo) -> FieldInfo:
         """Set omit by default on a FieldInfo's annotation."""
         new_annotation = _omit_by_default(field_info.annotation)
-        new_field_info = copy_field_info(field_info=field_info, annotation=new_annotation)
+        new_field_info = copy_field_info(
+            field_info=field_info, annotation=new_annotation
+        )
         return new_field_info
 
 else:
+
     def ignore_invalid(v: Any, handler: Callable[[Any], Any]) -> Any:
         try:
             return handler(v)
@@ -531,7 +534,12 @@ else:
                 # Handle nested list validation errors (e.g., dict[str, list[str]])
                 elif isinstance(loc[0], str) and isinstance(v, dict):
                     key = loc[0]
-                    if len(loc) > 1 and isinstance(loc[1], int) and key in v and isinstance(v[key], list):
+                    if (
+                        len(loc) > 1
+                        and isinstance(loc[1], int)
+                        and key in v
+                        and isinstance(v[key], list)
+                    ):
                         list_index = loc[1]
                         v[key][list_index] = None
                     elif key in v:
@@ -549,5 +557,7 @@ else:
 
     def omit_by_default(field_info: FieldInfo) -> FieldInfo:
         """add a wrap validator to omit invalid values by default."""
-        field_info.metadata = field_info.metadata or [] + [WrapValidator(ignore_invalid)]
+        field_info.metadata = field_info.metadata or [] + [
+            WrapValidator(ignore_invalid)
+        ]
         return field_info
diff --git a/tests/main.py b/tests/main.py
index f65372177..1ee8687d9 100644
--- a/tests/main.py
+++ b/tests/main.py
@@ -1,5 +1,5 @@
 import http
-from typing import Dict, FrozenSet, List, Optional, Union
+from typing import Dict, FrozenSet, List, Optional
 
 from fastapi import FastAPI, Path, Query
 
diff --git a/tests/test_application.py b/tests/test_application.py
index f40c4a77e..cd1713ae1 100644
--- a/tests/test_application.py
+++ b/tests/test_application.py
@@ -55,7 +55,7 @@ def test_enum_status_code_response():
 def test_openapi_schema():
     response = client.get("/openapi.json")
     assert response.status_code == 200, response.text
-    assert response.json()["paths"] == {
+    assert response.json() == {
         "openapi": "3.1.0",
         "info": {"title": "FastAPI", "version": "0.1.0"},
         "externalDocs": {
@@ -986,7 +986,10 @@ def test_openapi_schema():
                             "required": False,
                             "schema": IsDict(
                                 {
-                                    "anyOf": [{"type": "integer"}, {"type": "null"}],
+                                    "anyOf": [
+                                        {"type": "integer"},
+                                        {"type": "null"},
+                                    ],
                                     "title": "Query",
                                 }
                             )
@@ -1520,4 +1523,4 @@ def test_openapi_schema():
                 },
             }
         },
-    }["paths"]
+    }