diff --git a/stubs/jsonschema/METADATA.toml b/stubs/jsonschema/METADATA.toml
index a51d6edb1..2e800d80f 100644
--- a/stubs/jsonschema/METADATA.toml
+++ b/stubs/jsonschema/METADATA.toml
@@ -1 +1 @@
-version = "4.3.*"
+version = "4.4.*"
diff --git a/stubs/jsonschema/jsonschema/_utils.pyi b/stubs/jsonschema/jsonschema/_utils.pyi
index 448be7e91..2b20d72a5 100644
--- a/stubs/jsonschema/jsonschema/_utils.pyi
+++ b/stubs/jsonschema/jsonschema/_utils.pyi
@@ -1,14 +1,15 @@
-from typing import Any, Generator, Iterable, Mapping, MutableMapping, Sized
+from _typeshed import SupportsKeysAndGetItem
+from typing import Any, Generator, Iterable, Iterator, Mapping, MutableMapping, Sized
 
-class URIDict(MutableMapping[Any, Any]):
+class URIDict(MutableMapping[str, str]):
     def normalize(self, uri: str) -> str: ...
-    store: dict[Any, Any]
-    def __init__(self, *args, **kwargs) -> None: ...
-    def __getitem__(self, uri): ...
-    def __setitem__(self, uri, value) -> None: ...
-    def __delitem__(self, uri) -> None: ...
-    def __iter__(self): ...
-    def __len__(self): ...
+    store: dict[str, str]
+    def __init__(self, __m: SupportsKeysAndGetItem[str, str] | Iterable[tuple[str, str]], **kwargs: str) -> None: ...
+    def __getitem__(self, uri: str) -> str: ...
+    def __setitem__(self, uri: str, value: str) -> None: ...
+    def __delitem__(self, uri: str) -> None: ...
+    def __iter__(self) -> Iterator[str]: ...
+    def __len__(self) -> int: ...
 
 class Unset: ...
 
diff --git a/stubs/jsonschema/jsonschema/validators.pyi b/stubs/jsonschema/jsonschema/validators.pyi
index 782902178..245e33118 100644
--- a/stubs/jsonschema/jsonschema/validators.pyi
+++ b/stubs/jsonschema/jsonschema/validators.pyi
@@ -1,28 +1,56 @@
-from typing import Any, Callable
+from _typeshed import SupportsKeysAndGetItem
+from collections.abc import Callable, Generator, Iterable
+from typing import Any, ClassVar
+
+from ._utils import URIDict
+
+# This class does not exist at runtime. Compatible classes are created at
+# runtime by create().
+class _Validator:
+    VALIDATORS: ClassVar[dict[Any, Any]]
+    META_SCHEMA: ClassVar[dict[Any, Any]]
+    TYPE_CHECKER: Any
+    @staticmethod
+    def ID_OF(): ...
+    schema: Any
+    resolver: Any
+    format_checker: Any
+    evolve: Any
+    @classmethod
+    def check_schema(cls, schema) -> None: ...
+    def iter_errors(self, instance, _schema: Any | None = ...) -> Generator[Any, None, None]: ...
+    def descend(self, instance, schema, path: Any | None = ..., schema_path: Any | None = ...) -> Generator[Any, None, None]: ...
+    def validate(self, *args, **kwargs) -> None: ...
+    def is_type(self, instance, type): ...
+    def is_valid(self, instance, _schema: Any | None = ...) -> bool: ...
 
 def validates(version: str) -> Callable[..., Any]: ...
-def create(meta_schema, validators=..., version: Any | None = ..., type_checker=..., id_of=..., applicable_validators=...): ...
+def create(
+    meta_schema, validators=..., version: Any | None = ..., type_checker=..., id_of=..., applicable_validators=...
+) -> type[_Validator]: ...
 def extend(validator, validators=..., version: Any | None = ..., type_checker: Any | None = ...): ...
 
-Draft3Validator: Any
-Draft4Validator: Any
-Draft6Validator: Any
-Draft7Validator: Any
-Draft201909Validator: Any
-Draft202012Validator: Any
+Draft3Validator: type[_Validator]
+Draft4Validator: type[_Validator]
+Draft6Validator: type[_Validator]
+Draft7Validator: type[_Validator]
+Draft201909Validator: type[_Validator]
+Draft202012Validator: type[_Validator]
+
+_Handler = Callable[[str], Any]
 
 class RefResolver:
-    referrer: Any
+    referrer: str
     cache_remote: Any
-    handlers: Any
-    store: Any
+    handlers: dict[str, _Handler]
+    store: URIDict
     def __init__(
         self,
-        base_uri,
-        referrer,
-        store=...,
+        base_uri: str,
+        referrer: str,
+        store: SupportsKeysAndGetItem[str, str] | Iterable[tuple[str, str]] = ...,
         cache_remote: bool = ...,
-        handlers=...,
+        handlers: SupportsKeysAndGetItem[str, _Handler] | Iterable[tuple[str, _Handler]] = ...,
         urljoin_cache: Any | None = ...,
         remote_cache: Any | None = ...,
     ) -> None: ...
@@ -41,5 +69,5 @@ class RefResolver:
     def resolve_fragment(self, document, fragment): ...
     def resolve_remote(self, uri): ...
 
-def validate(instance, schema, cls: Any | None = ..., *args, **kwargs) -> None: ...
+def validate(instance: object, schema: object, cls: type[_Validator] | None = ..., *args: Any, **kwargs: Any) -> None: ...
 def validator_for(schema, default=...): ...