diff --git a/CHANGELOG.md b/CHANGELOG.md
index 8a304fd1..49789d01 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -23,6 +23,11 @@ To release a new version (e.g. from `1.0.0` -> `2.0.0`):
 
 ## [Unreleased]
 
+## [0.3.1] - 2023-09-22
+
+* Added support for int4 casting to wider integers such as int8
+* Addes support to cast np.float32 and np.float64 into int4
+
 ## [0.3.0] - 2023-09-19
 
 * Dropped support for Python 3.8, following [NEP 29].
@@ -44,7 +49,8 @@ To release a new version (e.g. from `1.0.0` -> `2.0.0`):
 
 * Initial release
 
-[Unreleased]: https://github.com/jax-ml/ml_dtypes/compare/v0.3.0...HEAD
+[Unreleased]: https://github.com/jax-ml/ml_dtypes/compare/v0.3.1...HEAD
+[0.3.1]: https://github.com/jax-ml/ml_dtypes/compare/v0.3.0...v0.3.1
 [0.3.0]: https://github.com/jax-ml/ml_dtypes/compare/v0.2.0...v0.3.0
 [0.2.0]: https://github.com/jax-ml/ml_dtypes/compare/v0.1.0...v0.2.0
 [0.1.0]: https://github.com/jax-ml/ml_dtypes/releases/tag/v0.1.0
diff --git a/ml_dtypes/__init__.py b/ml_dtypes/__init__.py
index 60c297c1..7546ba96 100644
--- a/ml_dtypes/__init__.py
+++ b/ml_dtypes/__init__.py
@@ -12,7 +12,7 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
-__version__ = '0.3.0'  # Keep in sync with pyproject.toml:version
+__version__ = '0.3.1'  # Keep in sync with pyproject.toml:version
 __all__ = [
     '__version__',
     'bfloat16',
diff --git a/ml_dtypes/_src/int4_numpy.h b/ml_dtypes/_src/int4_numpy.h
index 7f23fbc1..aed0f00a 100644
--- a/ml_dtypes/_src/int4_numpy.h
+++ b/ml_dtypes/_src/int4_numpy.h
@@ -28,6 +28,8 @@ limitations under the License.
 
 namespace ml_dtypes {
 
+constexpr char kOutOfRange[] = "out of range value cannot be converted to int4";
+
 template <typename T>
 struct Int4TypeDescriptor {
   static int Dtype() { return npy_type; }
@@ -114,8 +116,7 @@ bool CastToInt4(PyObject* arg, T* output) {
     }
     if (d < static_cast<double>(T::lowest()) ||
         d > static_cast<double>(T::highest())) {
-      PyErr_SetString(PyExc_OverflowError,
-                      "out of range value cannot be converted to int4");
+      PyErr_SetString(PyExc_OverflowError, kOutOfRange);
     }
     *output = T(d);
     return true;
@@ -131,9 +132,37 @@ bool CastToInt4(PyObject* arg, T* output) {
   if (PyArray_IsScalar(arg, Integer)) {
     int64_t v;
     PyArray_CastScalarToCtype(arg, &v, PyArray_DescrFromType(NPY_INT64));
+
+    if (!(std::numeric_limits<T>::min() <= v &&
+          v <= std::numeric_limits<T>::max())) {
+      PyErr_SetString(PyExc_OverflowError, kOutOfRange);
+      return false;
+    }
     *output = T(v);
     return true;
   }
+  if (PyArray_IsScalar(arg, Float)) {
+    float f;
+    PyArray_ScalarAsCtype(arg, &f);
+    if (!(std::numeric_limits<T>::min() <= f &&
+          f <= std::numeric_limits<T>::max())) {
+      PyErr_SetString(PyExc_OverflowError, kOutOfRange);
+      return false;
+    }
+    *output = T(static_cast<::int8_t>(f));
+    return true;
+  }
+  if (PyArray_IsScalar(arg, Double)) {
+    double d;
+    PyArray_ScalarAsCtype(arg, &d);
+    if (!(std::numeric_limits<T>::min() <= d &&
+          d <= std::numeric_limits<T>::max())) {
+      PyErr_SetString(PyExc_OverflowError, kOutOfRange);
+      return false;
+    }
+    *output = T(static_cast<::int8_t>(d));
+    return true;
+  }
   return false;
 }
 
@@ -652,7 +681,38 @@ bool RegisterInt4Casts() {
   }
 
   // Safe casts from T to other types
-  // TODO(phawkins): add integer types
+  if (PyArray_RegisterCanCast(&TypeDescriptor<T>::npy_descr, NPY_INT8,
+                              NPY_NOSCALAR) < 0) {
+    return false;
+  }
+  if (PyArray_RegisterCanCast(&TypeDescriptor<T>::npy_descr, NPY_UINT8,
+                              NPY_NOSCALAR) < 0) {
+    return false;
+  }
+  if (PyArray_RegisterCanCast(&TypeDescriptor<T>::npy_descr, NPY_INT16,
+                              NPY_NOSCALAR) < 0) {
+    return false;
+  }
+  if (PyArray_RegisterCanCast(&TypeDescriptor<T>::npy_descr, NPY_UINT16,
+                              NPY_NOSCALAR) < 0) {
+    return false;
+  }
+  if (PyArray_RegisterCanCast(&TypeDescriptor<T>::npy_descr, NPY_INT32,
+                              NPY_NOSCALAR) < 0) {
+    return false;
+  }
+  if (PyArray_RegisterCanCast(&TypeDescriptor<T>::npy_descr, NPY_UINT32,
+                              NPY_NOSCALAR) < 0) {
+    return false;
+  }
+  if (PyArray_RegisterCanCast(&TypeDescriptor<T>::npy_descr, NPY_INT64,
+                              NPY_NOSCALAR) < 0) {
+    return false;
+  }
+  if (PyArray_RegisterCanCast(&TypeDescriptor<T>::npy_descr, NPY_UINT64,
+                              NPY_NOSCALAR) < 0) {
+    return false;
+  }
   if (PyArray_RegisterCanCast(&TypeDescriptor<T>::npy_descr, NPY_FLOAT,
                               NPY_NOSCALAR) < 0) {
     return false;
diff --git a/pyproject.toml b/pyproject.toml
index 65780ed1..a353d010 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -1,6 +1,6 @@
 [project]
 name = "ml_dtypes"
-version = "0.3.0"  # Keep in sync with ml_dtypes/__init__.py:__version__
+version = "0.3.1"  # Keep in sync with ml_dtypes/__init__.py:__version__
 description = ""
 readme = "README.md"
 requires-python = ">=3.9"