diff --git a/array_api_strict/_array_object.py b/array_api_strict/_array_object.py
index d9d485f..629af98 100644
--- a/array_api_strict/_array_object.py
+++ b/array_api_strict/_array_object.py
@@ -20,7 +20,7 @@
 from collections.abc import Iterator
 from enum import IntEnum
 from types import EllipsisType, ModuleType
-from typing import Any, Final, Literal, SupportsIndex
+from typing import Any, Final, Literal, SupportsIndex, Callable
 
 import numpy as np
 import numpy.typing as npt
@@ -125,6 +125,9 @@ def __new__(cls, *args: object, **kwargs: object) -> Array:
         raise TypeError(
             "The array_api_strict Array object should not be instantiated directly. Use an array creation function, such as asarray(), instead."
         )
+    
+    def __reduce__(self) -> tuple[Callable, tuple[npt.NDArray[Any], Device]]:
+        return (self._new, (self._array, self._device))
 
     # These functions are not required by the spec, but are implemented for
     # the sake of usability.
diff --git a/array_api_strict/tests/test_array_object.py b/array_api_strict/tests/test_array_object.py
index 0269d13..f580585 100644
--- a/array_api_strict/tests/test_array_object.py
+++ b/array_api_strict/tests/test_array_object.py
@@ -1,6 +1,7 @@
 import sys
 import warnings
 import operator
+import pickle
 from builtins import all as all_
 
 from numpy.testing import assert_raises
@@ -747,3 +748,15 @@ def test_dlpack_2023_12(api_version):
         a.__dlpack__(copy=False)
         a.__dlpack__(copy=True)
         a.__dlpack__(copy=None)
+
+def test_pickle():
+    """Check that arrays are pickleable (despite raising on `__new__`)"""
+    a = ones(2)
+    min_supported_protocol = 2
+    for protocol in range(min_supported_protocol, pickle.HIGHEST_PROTOCOL + 1):
+        bytes = pickle.dumps(a, protocol=protocol)
+        a_from_pickle = pickle.loads(bytes)
+        assert a_from_pickle.device == a.device
+        assert a_from_pickle.dtype == a.dtype
+        assert a_from_pickle.shape == a.shape
+        assert all(a_from_pickle == a)
diff --git a/pyproject.toml b/pyproject.toml
index 00d09da..22fb964 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -23,6 +23,9 @@ classifiers = [
     "Operating System :: OS Independent",
 ]
 
+[project.optional-dependencies]
+test = ["pytest", "hypothesis"]
+
 [project.urls]
 Homepage = "https://data-apis.org/array-api-strict/"
 Repository = "https://github.com/data-apis/array-api-strict"