diff --git a/.github/workflows/wheels.yml b/.github/workflows/wheels.yml
index 8fac063..be1df33 100644
--- a/.github/workflows/wheels.yml
+++ b/.github/workflows/wheels.yml
@@ -15,21 +15,34 @@ jobs:
     runs-on: ubuntu-latest
     outputs:
       include: ${{ steps.set-matrix.outputs.include }}
+    env:
+      # Define a range of python version, going back to 3.6 because often the
+      # Phd-type developer that use tools like tmap don't update their tool
+      # chains very often, supporting them means that they might better support
+      # tmap's developement in the future.
+      # This may change, and probably should.
+      PYTHON_VERSIONS: "3.6,3.7,3.8,3.9,3.10,3.11,3.12"
     steps:
       - uses: actions/checkout@v4
       - name: Install cibuildwheel
         run: pipx install cibuildwheel==2.22.0
       - id: set-matrix
         run: |
+          # Some notes on this:
+          # - macos-13 is a amd64 builder.
+          # - maxos-14 is the default builder which is arm64, probably because
+          #   it's more effecient.
+          # - We don't yet specifiy arm64 versions on linux, even though AWS
+          #   provides cheaper ec2 instaces running on arm64 cores. /FIXME
           MATRIX=$(
             {
-              cibuildwheel --print-build-identifiers --platform linux \
+              cibuildwheel --print-build-identifiers --platform linux --python $PYTHON_VERSIONS \
               | jq -nRc '{"only": inputs, "os": "ubuntu-latest"}' \
-              && cibuildwheel --print-build-identifiers --platform macos --arch x86_64 \
+              && cibuildwheel --print-build-identifiers --platform macos --arch x86_64 --python $PYTHON_VERSIONS \
               | jq -nRc '{"only": inputs, "os": "macos-13"}' \
-              && cibuildwheel --print-build-identifiers --platform macos --arch arm64 \
+              && cibuildwheel --print-build-identifiers --platform macos --arch arm64 --python $PYTHON_VERSIONS \
               | jq -nRc '{"only": inputs, "os": "macos-14"}' \
-              && cibuildwheel --print-build-identifiers --platform windows \
+              && cibuildwheel --print-build-identifiers --platform windows --python $PYTHON_VERSIONS \
               | jq -nRc '{"only": inputs, "os": "windows-latest"}'
             } | jq -sc
           )