diff --git a/.github/workflows/pypi.yml b/.github/workflows/pypi.yml
index 01de7573f..0289e968f 100644
--- a/.github/workflows/pypi.yml
+++ b/.github/workflows/pypi.yml
@@ -43,7 +43,7 @@ jobs:
         # windows-latest ships MSVC 19.5x (VS 2026), which CUDA 12.8 rejects, so
         # the Windows wheels build on the VS 2022 image.
         os: [ubuntu-latest, macos-latest, windows-2022]
-        python-version: [cp310, cp311, cp312, cp313, cp314]
+        python-version: [cp311, cp312, cp313, cp314, cp315]
         arch: [x86_64, arm64]
         exclude:
           - os: ubuntu-latest
@@ -96,7 +96,7 @@ jobs:
           "CUDACXX=$env:CUDA_PATH\bin\nvcc.exe" | Out-File -FilePath $env:GITHUB_ENV -Append
 
       - name: Build wheels
-        uses: pypa/cibuildwheel@v4.1.0
+        uses: pypa/cibuildwheel@v4.3.5
         # to supply options, put them in 'env', like:
         env:
           MACOSX_DEPLOYMENT_TARGET: "11.0"
diff --git a/.github/workflows/python.yml b/.github/workflows/python.yml
index 48dfc3390..139e8f5cf 100644
--- a/.github/workflows/python.yml
+++ b/.github/workflows/python.yml
@@ -19,14 +19,42 @@ concurrency:
   cancel-in-progress: ${{ github.ref != 'refs/heads/main' }}
 
 jobs:
+  Python-Versions:
+    runs-on: ubuntu-latest
+    outputs:
+      all: ${{ steps.matrix.outputs.all }}
+      pr: ${{ steps.matrix.outputs.pr }}
+    steps:
+      - name: Compute supported Python versions
+        id: matrix
+        env:
+          MIN_MINOR: 11   # our own floor; raise it manually if we ever need to
+        run: |
+          today=$(date +%F)
+          all=$(curl -fsS https://endoflife.date/api/python.json | jq -c \
+            --arg today "$today" --argjson min "$MIN_MINOR" '
+              [ .[]
+                | select(.cycle | startswith("3."))
+                | select((.cycle | split(".")[1] | tonumber) >= $min)
+                | select(.releaseDate <= $today)   # already released
+                | select(.eol > $today)            # not yet EOL
+                | .cycle ]
+              | sort_by(split(".")[1] | tonumber)')
+          # PRs: second-newest release (currently 3.14), so we don't
+          # chase brand-new wheels on every PR
+          pr=$(jq -c '[.[-2]]' <<< "$all")
+          echo "all=$all" >> "$GITHUB_OUTPUT"
+          echo "pr=$pr"   >> "$GITHUB_OUTPUT"
+
   Build:
+    needs: Python-Versions
     name: ${{ matrix.name }} Python ${{ matrix.python-version }}
     runs-on: ${{ matrix.os }}
     strategy:
       fail-fast: false
       matrix:
         os: [ubuntu-latest, macos-latest, windows-latest]
-        python-version: ${{ github.event_name == 'pull_request' && fromJSON('["3.14"]') || fromJSON('["3.10", "3.11", "3.12", "3.13", "3.14"]') }}
+        python-version: ${{ github.event_name == 'pull_request' && fromJSON(needs.Python-Versions.outputs.pr) || fromJSON(needs.Python-Versions.outputs.all) }}
         include:
           - os: ubuntu-latest
             name: Linux