diff --git a/maintainer-notes.md b/maintainer-notes.md
index 7164ccc..a0b1f79 100644
--- a/maintainer-notes.md
+++ b/maintainer-notes.md
@@ -121,20 +121,9 @@ and the binary wheels attached.
 
 - NumPy ABI compatibility needs to be maintained by building against a
   reasonably old version of NumPy when packaging for public distribution (cf.
-  https://github.com/numpy/numpy/issues/5888).
-
-  In practice, we should use the oldest NumPy for which wheels are available on
-  PyPI for the given Python version (and all 3 platforms):
-
-  - Python 3.8 - NumPy 1.17.3
-  - Python 3.9 - NumPy 1.19.3
-  - Python 3.10 - NumPy 1.21.3
-  - Python 3.11 - NumPy 1.23.2
-  - Python 3.12 - Numpy 1.26.0
-
-  Those versions are reflected in the `[build-system.requires]` section of
-  `pyproject.toml`, which takes care of creating the appropriate build
-  environment for the wheel.
+  https://github.com/numpy/numpy/issues/5888).  We do this by including
+  [`oldest-supported-numpy`](https://github.com/scipy/oldest-supported-numpy)
+  in our build requires.
 
 ## Building with debug symbols on Windows
 
diff --git a/pyproject.toml b/pyproject.toml
index 901fc75..f5dda93 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -1,15 +1,6 @@
 # https://peps.python.org/pep-0517/
 [build-system]
-requires = [
-    "setuptools >=61.0.0",
-    "swig >=4",
-    "numpy==1.14.5; python_version=='3.7'",
-    "numpy==1.17.3; python_version=='3.8'",
-    "numpy==1.19.3; python_version=='3.9'",
-    "numpy==1.21.3; python_version=='3.10'",
-    "numpy==1.23.2; python_version=='3.11'",
-    "numpy==1.26.0; python_version=='3.12'",
-]
+requires = ["setuptools >=61.0.0", "swig >=4", "oldest-supported-numpy"]
 build-backend = "setuptools.build_meta"