diff --git a/.github/workflows/build-photutils.yml b/.github/workflows/build-photutils.yml
index ea5f35af744..a345175cdfb 100644
--- a/.github/workflows/build-photutils.yml
+++ b/.github/workflows/build-photutils.yml
@@ -48,7 +48,10 @@ jobs:
       fail-fast: false
       matrix:
         version: ${{ fromJSON(needs.setup.outputs.versions) }}
-    name: Build photutils ${{ matrix.version }} cp311-abi3-manylinux_riscv64
+        # 3.1.0 raised requires-python to >=3.12 and dropped py-limited-api, so every
+        # interpreter gets its own wheel; pyproject.toml skips the free-threaded builds.
+        python: ["cp312", "cp313", "cp314"]
+    name: Build photutils ${{ matrix.version }} ${{ matrix.python }}-manylinux_riscv64
     runs-on: ubuntu-24.04-riscv
     timeout-minutes: 240
 
@@ -67,13 +70,9 @@ jobs:
         uses: pypa/cibuildwheel@1828c10ab37f080699c7b81cea34097c684a7074  # v4.2.0
         with:
           output-dir: wheelhouse/
+          only: ${{ matrix.python }}-manylinux_riscv64
         env:
           CIBW_MANYLINUX_RISCV64_IMAGE: ${{ env.MANYLINUX_RISCV64_IMAGE }}
-          # pyproject.toml pins py-limited-api = "cp311": built once on cp311, the
-          # oldest interpreter the tag claims, and re-tested on the newer ones.
-          CIBW_BUILD: >-
-            cp311-manylinux_riscv64 cp312-manylinux_riscv64
-            cp313-manylinux_riscv64 cp314-manylinux_riscv64
           CIBW_ENVIRONMENT: >-
             PIP_EXTRA_INDEX_URL=https://pypi.riseproject.dev/simple/
             PIP_ONLY_BINARY=numpy
@@ -87,13 +86,13 @@ jobs:
         run: |
           python3 - wheelhouse/*.whl <<'EOF'
           import sys, zipfile
+          import pathlib
           path = sys.argv[1]
-          assert "-cp311-abi3-" in path, path
           names = zipfile.ZipFile(path).namelist()
-          exts = {n.rsplit("/", 1)[1] for n in names if n.endswith(".so")}
-          assert exts == {"compiler_version.abi3.so", "core.abi3.so",
-                          "circular_overlap.abi3.so", "elliptical_overlap.abi3.so",
-                          "rectangular_overlap.abi3.so", "ellipse_model.abi3.so"}, exts
+          # Every Cython source in the checkout must have been compiled into the wheel.
+          exts = {n.rsplit("/", 1)[1].split(".")[0] for n in names if n.endswith(".so")}
+          pyx = {p.stem for p in pathlib.Path("photutils").rglob("*.pyx")}
+          assert pyx and pyx <= exts, sorted(pyx - exts)
           licences = {n.split(".dist-info/licenses/", 1)[1] for n in names
                       if ".dist-info/licenses/" in n and not n.endswith("/")}
           assert licences == {"LICENSE.rst"}, licences
@@ -102,7 +101,7 @@ jobs:
       - name: Store wheels
         uses: actions/upload-artifact@043fb46d1a93c77aae656e7c1c64a875d1fc6a0a  # v7.0.1
         with:
-          name: photutils-${{ env.PHOTUTILS_VERSION }}-cp311-abi3-manylinux_riscv64
+          name: photutils-${{ env.PHOTUTILS_VERSION }}-${{ matrix.python }}-manylinux_riscv64
           path: ./wheelhouse/*.whl
           if-no-files-found: error
 
diff --git a/docs/packages/photutils.yaml b/docs/packages/photutils.yaml
index 591b9b7dd3d..24350dd1bd9 100644
--- a/docs/packages/photutils.yaml
+++ b/docs/packages/photutils.yaml
@@ -8,3 +8,5 @@ versions:
   - filename: photutils-3.0.0-cp311-abi3-manylinux_2_31_riscv64.manylinux_2_39_riscv64.whl
     sha256: 7686534bf05d9270880368feefe0d77b7d9f08783e775aef40e78a8fac94bd26
     requires-python: '>=3.11'
+- version: 3.1.0
+- version: 3.1.1