diff --git a/spec/API_specification/constants.md b/spec/API_specification/constants.md
deleted file mode 100644
index 78cdc8de7..000000000
--- a/spec/API_specification/constants.md
+++ /dev/null
@@ -1,39 +0,0 @@
-# Constants
-
-> Array API specification for constants.
-
-A conforming implementation of the array API standard must provide and support the following constants adhering to the following conventions.
-
--   Each constant must have a Python floating-point data type (i.e., `float`) and be provided as a Python scalar value.
-
-<!-- NOTE: please keep the constants in alphabetical order -->
-
-## Objects in API
-
-(constant-e)=
-### e
-
-IEEE 754 floating-point representation of Euler's constant.
-
-```text
-e = 2.71828182845904523536028747135266249775724709369995...
-```
-
-(constant-inf)=
-### inf
-
-IEEE 754 floating-point representation of (positive) infinity.
-
-(constant-nan)=
-### nan
-
-IEEE 754 floating-point representation of Not a Number (`NaN`).
-
-(constant-pi)=
-### pi
-
-IEEE 754 floating-point representation of the mathematical constant `π`.
-
-```text
-pi = 3.1415926535897932384626433...
-```
diff --git a/spec/API_specification/constants.rst b/spec/API_specification/constants.rst
new file mode 100644
index 000000000..eab159c9d
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@@ -0,0 +1,24 @@
+Constants
+=========
+
+    Array API specification for constants.
+
+A conforming implementation of the array API standard must provide and support the following constants adhering to the following conventions.
+
+-   Each constant must have a Python floating-point data type (i.e., ``float``) and be provided as a Python scalar value.
+
+Objects in API
+--------------
+
+.. currentmodule:: signatures.constants
+
+..
+  NOTE: please keep the functions in alphabetical order
+
+.. autosummary::
+   :toctree: generated
+
+   e
+   inf
+   nan
+   pi
diff --git a/spec/API_specification/signatures/constants.py b/spec/API_specification/signatures/constants.py
new file mode 100644
index 000000000..813b6d079
--- /dev/null
+++ b/spec/API_specification/signatures/constants.py
@@ -0,0 +1,25 @@
+e = 2.718281828459045
+"""
+IEEE 754 floating-point representation of Euler's constant.
+
+``e = 2.71828182845904523536028747135266249775724709369995...``
+"""
+
+inf = float('inf')
+"""
+IEEE 754 floating-point representation of (positive) infinity.
+"""
+
+nan = float('nan')
+"""
+IEEE 754 floating-point representation of Not a Number (``NaN``).
+"""
+
+pi = 3.141592653589793
+"""
+IEEE 754 floating-point representation of the mathematical constant ``π``.
+
+``pi = 3.1415926535897932384626433...``
+"""
+
+__all__ = ['e', 'inf', 'nan', 'pi']