diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index a4ec5c9..11bdc87 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -4,12 +4,17 @@ ci:
   # This project is not active enough to justify weekly autoupdates.
   autoupdate_schedule: quarterly
 
+# Use pypy3 for the Python hooks
+default_language_version:
+  python: pypy3
+
 repos:
   - repo: https://github.com/pre-commit/pre-commit-hooks
     rev: v4.4.0
     hooks:
       - id: check-added-large-files
       - id: check-case-conflict
+      - id: check-yaml
       - id: check-executables-have-shebangs
       - id: check-shebang-scripts-are-executable
       - id: destroyed-symlinks
@@ -19,14 +24,19 @@ repos:
       - id: trailing-whitespace
         exclude_types: [markdown]
 
+  - repo: https://github.com/pre-commit-ci/pre-commit-ci-config
+    rev: v1.6.1
+    hooks:
+      - id: check-pre-commit-ci-config
+
   - repo: https://github.com/thlorenz/doctoc
     rev: v2.2.0
     hooks:
       - id: doctoc
-        args: [--update-only]
+        args: [--update-only, --notitle]
 
   - repo: https://github.com/python-jsonschema/check-jsonschema
-    rev: 0.26.3
+    rev: 0.27.0
     hooks:
       - id: check-dependabot
       - id: check-github-actions