diff --git a/src/markdown_exec/formatters/_exec_python.py b/src/markdown_exec/formatters/_exec_python.py
index 4bd7813..5c58fe4 100644
--- a/src/markdown_exec/formatters/_exec_python.py
+++ b/src/markdown_exec/formatters/_exec_python.py
@@ -1,8 +1,8 @@
 """Special module without future annotations for executing Python code."""
 
-from typing import Any, Dict, Optional
+from typing import Any, Optional
 
 
-def exec_python(code: str, filename: str, exec_globals: Optional[Dict[str, Any]] = None) -> None:
+def exec_python(code: str, filename: str, exec_globals: Optional[dict[str, Any]] = None) -> None:
     compiled = compile(code, filename=filename, mode="exec")
     exec(compiled, exec_globals)  # noqa: S102
diff --git a/src/markdown_exec/formatters/base.py b/src/markdown_exec/formatters/base.py
index 43750e3..10fbc41 100644
--- a/src/markdown_exec/formatters/base.py
+++ b/src/markdown_exec/formatters/base.py
@@ -5,7 +5,7 @@
 import os
 from contextlib import contextmanager
 from textwrap import indent
-from typing import TYPE_CHECKING, Any, Callable, Iterator
+from typing import TYPE_CHECKING, Any, Callable
 from uuid import uuid4
 
 from markupsafe import Markup
@@ -14,6 +14,8 @@
 from markdown_exec.rendering import MarkdownConverter, add_source, code_block
 
 if TYPE_CHECKING:
+    from collections.abc import Iterator
+
     from markdown.core import Markdown
 
 logger = get_logger(__name__)
diff --git a/src/markdown_exec/formatters/python.py b/src/markdown_exec/formatters/python.py
index bce0450..b3af2f9 100644
--- a/src/markdown_exec/formatters/python.py
+++ b/src/markdown_exec/formatters/python.py
@@ -50,7 +50,7 @@ def _run_python(
     id: str | None = None,  # noqa: A002
     **extra: str,
 ) -> str:
-    title = extra.get("title", None)
+    title = extra.get("title")
     code_block_id = _code_block_id(id, session, title)
     _code_blocks[code_block_id] = code.split("\n")
     exec_globals = _sessions_globals[session] if session else {}
diff --git a/src/markdown_exec/mkdocs_plugin.py b/src/markdown_exec/mkdocs_plugin.py
index ffa0700..1919966 100644
--- a/src/markdown_exec/mkdocs_plugin.py
+++ b/src/markdown_exec/mkdocs_plugin.py
@@ -5,7 +5,7 @@
 import logging
 import os
 from pathlib import Path
-from typing import TYPE_CHECKING, Any, MutableMapping
+from typing import TYPE_CHECKING, Any
 
 from mkdocs.config import config_options
 from mkdocs.config.base import Config
@@ -18,6 +18,8 @@
 from markdown_exec.rendering import MarkdownConverter, markdown_config
 
 if TYPE_CHECKING:
+    from collections.abc import MutableMapping
+
     from jinja2 import Environment
     from mkdocs.config.defaults import MkDocsConfig
     from mkdocs.structure.files import Files
diff --git a/src/markdown_exec/rendering.py b/src/markdown_exec/rendering.py
index aa1bd0f..385245d 100644
--- a/src/markdown_exec/rendering.py
+++ b/src/markdown_exec/rendering.py
@@ -3,9 +3,9 @@
 from __future__ import annotations
 
 from contextlib import contextmanager
-from functools import lru_cache
+from functools import cache
 from textwrap import indent
-from typing import TYPE_CHECKING, Any, Iterator
+from typing import TYPE_CHECKING, Any
 
 from markdown import Markdown
 from markupsafe import Markup
@@ -18,6 +18,7 @@
 )
 
 if TYPE_CHECKING:
+    from collections.abc import Iterator
     from xml.etree.ElementTree import Element
 
     from markdown import Extension
@@ -180,7 +181,7 @@ def reset(self) -> None:
 # XML entities that get stashed in headings.
 
 
-@lru_cache(maxsize=None)
+@cache
 def _register_headings_processors(md: Markdown) -> None:
     md.treeprocessors.register(
         InsertHeadings(md),
diff --git a/tests/conftest.py b/tests/conftest.py
index e6b1857..c79722c 100644
--- a/tests/conftest.py
+++ b/tests/conftest.py
@@ -6,7 +6,7 @@
 from markdown_exec import formatter, formatters, validator
 
 
-@pytest.fixture()
+@pytest.fixture
 def md() -> Markdown:
     """Return a Markdown instance.