diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index 5cb06d9..b24c6ff 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -55,9 +55,14 @@ jobs:
       run: sudo apt-get -yq -o Acquire::Retries=3 --no-install-suggests --no-install-recommends install texlive dvipng
     - name: Install and update Python dependencies
       run: |
-        python -m pip install --upgrade pip setuptools wheel
+        python -m pip install --upgrade pip setuptools wheel build
         python -m pip install --upgrade -e .[${{ matrix.deps }}]
         python -m pip install --upgrade check-manifest pytest-cov
+    - name: Try building with Python build
+      if: runner.os != 'Windows'  # setup.py does not support sdist on Windows
+      run: |
+        python -m build
+        shasum -a 256 dist/*
     - name: Check manifest
       if: runner.os != 'Windows'  # setup.py does not support sdist on Windows
       run: check-manifest