diff --git a/README.md b/README.md
index e277bc11..b49f9e00 100644
--- a/README.md
+++ b/README.md
@@ -47,4 +47,4 @@ about the inner workings of GalSim and how to code in JAX.
 
 ## Current GalSim API Coverage
 
-JAX-GalSim current has implemented **22.5%** of the GalSim API. See the corresponding [documentation page](https://jax-galsim.readthedocs.io/en/latest/api-coverage) for a list of what is currently implemented.
+See the corresponding [documentation page](https://jax-galsim.readthedocs.io/en/latest/api-coverage) for a list of what is currently implemented.
diff --git a/docs/api-coverage.rst b/docs/api-coverage.rst
index 0fe64485..30250d28 100644
--- a/docs/api-coverage.rst
+++ b/docs/api-coverage.rst
@@ -1,132 +1,9 @@
 API Coverage
 ============
 
-JAX-GalSim has implemented **22.5 %** of the GalSim API. The project focuses on
-the most commonly used profiles and operations, with coverage expanding over time.
+The project focuses on the most commonly used profiles and operations,
+with coverage expanding over time. The list below is updated automatically
+when the documentation is built.
 
 Supported APIs
 --------------
-
-.. dropdown:: Click to expand the full list of implemented APIs
-
-   - ``galsim.Add``
-   - ``galsim.AffineTransform``
-   - ``galsim.Angle``
-   - ``galsim.AngleUnit``
-   - ``galsim.BaseDeviate``
-   - ``galsim.BaseNoise``
-   - ``galsim.BaseWCS``
-   - ``galsim.BinomialDeviate``
-   - ``galsim.Bounds``
-   - ``galsim.BoundsD``
-   - ``galsim.BoundsI``
-   - ``galsim.Box``
-   - ``galsim.CCDNoise``
-   - ``galsim.CelestialCoord``
-   - ``galsim.Chi2Deviate``
-   - ``galsim.Convolution``
-   - ``galsim.Convolve``
-   - ``galsim.Cubic``
-   - ``galsim.Deconvolution``
-   - ``galsim.Deconvolve``
-   - ``galsim.Delta``
-   - ``galsim.DeltaFunction``
-   - ``galsim.DeviateNoise``
-   - ``galsim.Exponential``
-   - ``galsim.FitsHeader``
-   - ``galsim.FitsWCS``
-   - ``galsim.GSFitsWCS``
-   - ``galsim.GSObject``
-   - ``galsim.GSParams``
-   - ``galsim.GalSimBoundsError``
-   - ``galsim.GalSimConfigError``
-   - ``galsim.GalSimConfigValueError``
-   - ``galsim.GalSimDeprecationWarning``
-   - ``galsim.GalSimError``
-   - ``galsim.GalSimFFTSizeError``
-   - ``galsim.GalSimHSMError``
-   - ``galsim.GalSimImmutableError``
-   - ``galsim.GalSimIncompatibleValuesError``
-   - ``galsim.GalSimIndexError``
-   - ``galsim.GalSimKeyError``
-   - ``galsim.GalSimNotImplementedError``
-   - ``galsim.GalSimRangeError``
-   - ``galsim.GalSimSEDError``
-   - ``galsim.GalSimUndefinedBoundsError``
-   - ``galsim.GalSimValueError``
-   - ``galsim.GalSimWarning``
-   - ``galsim.GammaDeviate``
-   - ``galsim.Gaussian``
-   - ``galsim.GaussianDeviate``
-   - ``galsim.GaussianNoise``
-   - ``galsim.Image``
-   - ``galsim.ImageCD``
-   - ``galsim.ImageCF``
-   - ``galsim.ImageD``
-   - ``galsim.ImageF``
-   - ``galsim.ImageI``
-   - ``galsim.ImageS``
-   - ``galsim.ImageUI``
-   - ``galsim.ImageUS``
-   - ``galsim.Interpolant``
-   - ``galsim.InterpolatedImage``
-   - ``galsim.JacobianWCS``
-   - ``galsim.Lanczos``
-   - ``galsim.Linear``
-   - ``galsim.Moffat``
-   - ``galsim.Nearest``
-   - ``galsim.OffsetShearWCS``
-   - ``galsim.OffsetWCS``
-   - ``galsim.PhotonArray``
-   - ``galsim.Pixel``
-   - ``galsim.PixelScale``
-   - ``galsim.PoissonDeviate``
-   - ``galsim.PoissonNoise``
-   - ``galsim.Position``
-   - ``galsim.PositionD``
-   - ``galsim.PositionI``
-   - ``galsim.Quintic``
-   - ``galsim.Sensor``
-   - ``galsim.Shear``
-   - ``galsim.ShearWCS``
-   - ``galsim.SincInterpolant``
-   - ``galsim.Spergel``
-   - ``galsim.Sum``
-   - ``galsim.TanWCS``
-   - ``galsim.Transform``
-   - ``galsim.Transformation``
-   - ``galsim.UniformDeviate``
-   - ``galsim.VariableGaussianNoise``
-   - ``galsim.WeibullDeviate``
-   - ``galsim.bessel.j0``
-   - ``galsim.bessel.kv``
-   - ``galsim.bessel.si``
-   - ``galsim.fits.closeHDUList``
-   - ``galsim.fits.readCube``
-   - ``galsim.fits.readFile``
-   - ``galsim.fits.readMulti``
-   - ``galsim.fits.write``
-   - ``galsim.fits.writeFile``
-   - ``galsim.fitswcs.CelestialWCS``
-   - ``galsim.integ.int1d``
-   - ``galsim.noise.addNoise``
-   - ``galsim.noise.addNoiseSNR``
-   - ``galsim.random.permute``
-   - ``galsim.utilities.g1g2_to_e1e2``
-   - ``galsim.utilities.horner``
-   - ``galsim.utilities.printoptions``
-   - ``galsim.utilities.unweighted_moments``
-   - ``galsim.utilities.unweighted_shape``
-   - ``galsim.wcs.EuclideanWCS``
-   - ``galsim.wcs.LocalWCS``
-   - ``galsim.wcs.UniformWCS``
-
-Updating Coverage
------------------
-
-.. code-block:: bash
-
-   python scripts/update_api_coverage.py
-
-Compares GalSim's public API against ``jax_galsim``'s implementations and
-updates the coverage percentage and list above.
diff --git a/docs/conf.py b/docs/conf.py
index 1c4c31a6..8f7ee2e8 100644
--- a/docs/conf.py
+++ b/docs/conf.py
@@ -10,6 +10,15 @@
 sys.path.insert(0, os.path.abspath(".."))
 # Make the custom extension importable.
 sys.path.insert(0, os.path.abspath("_ext"))
+# Make modules in docs importable.
+sys.path.insert(0, os.path.abspath("."))
+
+###########################################
+# custom code to update the API coverage
+from update_api_coverage import update_api_coverage
+
+update_api_coverage()
+###########################################
 
 # ---------------------------------------------------------------------------
 # Project information
@@ -17,7 +26,7 @@
 
 project = "JAX-GalSim"
 author = "GalSim Developers"
-copyright = "2023, GalSim Developers"
+copyright = "2026, GalSim Developers"
 
 try:
     from jax_galsim._version import version as release
diff --git a/scripts/update_api_coverage.py b/docs/update_api_coverage.py
similarity index 71%
rename from scripts/update_api_coverage.py
rename to docs/update_api_coverage.py
index c48560f8..58822f6c 100644
--- a/scripts/update_api_coverage.py
+++ b/docs/update_api_coverage.py
@@ -1,11 +1,6 @@
-import inspect
-
-import galsim
-
-import jax_galsim
-
-
 def _list_all_apis(module, apis=None, seen_modules=None):
+    import inspect
+
     apis = apis or set()
     seen_modules = seen_modules or set()
     mname = module.__name__
@@ -40,36 +35,28 @@ def _list_all_apis(module, apis=None, seen_modules=None):
     return apis
 
 
-def _write_to_readme(missing_apis, jax_galsim_apis, cov_frac):
-    with open("README.md", "r") as f:
+def _write_to_docs(missing_apis, jax_galsim_apis, cov_frac):
+    with open("api-coverage.rst", "r") as f:
         lines = f.readlines()
 
-    start = lines.index("<!-- start-api-coverage -->\n")
-    end = lines.index("<!-- end-api-coverage -->\n")
-
-    middle_lines = []
-    middle_lines.append(
-        f"JAX-GalSim has implemented {100 * cov_frac:.1f}% of "
-        "the GalSim API. See the list below for the supported APIs.\n"
-    )
-    middle_lines.append("\n")
-
-    middle_lines.append("<details>\n")
-    middle_lines.append("\n")
+    start = lines.index("Supported APIs\n") + 1
 
+    middle_lines = ["\n"]
     for api in sorted(jax_galsim_apis):
-        middle_lines.append(f"- {api}\n")
+        middle_lines.append(f"- ``{api}``\n")
     middle_lines.append("\n")
 
-    middle_lines.append("</details>\n")
-
-    with open("README.md", "w") as f:
+    with open("api-coverage.rst", "w") as f:
         f.writelines(lines[: start + 1])
         f.writelines(middle_lines)
-        f.writelines(lines[end:])
+        f.writelines(lines[start + 1 :])
+
+
+def update_api_coverage():
+    import galsim
 
+    import jax_galsim
 
-if __name__ == "__main__":
     galsim_apis = _list_all_apis(galsim)
     assert all(api.startswith("galsim.") for api in galsim_apis)
 
@@ -85,4 +72,4 @@ def _write_to_readme(missing_apis, jax_galsim_apis, cov_frac):
 
     cov_frac = 1.0 - len(missing_apis) / len(galsim_apis)
 
-    _write_to_readme(missing_apis, jax_galsim_apis, cov_frac)
+    _write_to_docs(missing_apis, jax_galsim_apis, cov_frac)
diff --git a/docs/versioning.rst b/docs/versioning.rst
index 62e2e564..544a9955 100644
--- a/docs/versioning.rst
+++ b/docs/versioning.rst
@@ -1,6 +1,11 @@
 Versioning and API Policy
----------------------------
+-------------------------
 
-JAX-GalSim follows `Calver <https://calver.org/>`_ with a version number ``YYYY.MM.MICRO`` with ``MICRO`` resetting to ``0`` at the start of each month.
+``JAX-GalSim`` follows `Calver <https://calver.org/>`_ with a version number ``YYYY.MM.MICRO``
+with ``MICRO`` resetting to ``0`` at the start of each month.
 
-For APIs which are also present in GalSim (e.g., you can import the same thing by substituting galsim for jax_galsim), JAX-GalSim is a strict subset of the GalSim APIs. All other APIs may change without notice for any version part increment. We thus recommend pinning the entire JAX-GalSim version if you use this code in your work.
+For APIs which are also present in ``GalSim`` (e.g., you can import the same thing by
+substituting ``galsim`` for ``jax_galsim``), ``JAX-GalSim`` is a strict subset of the
+``GalSim`` APIs. All other APIs may change without notice for any version part increment.
+
+We thus recommend pinning the entire ``JAX-GalSim`` version if you use this code in your work.