diff --git a/tests/attributes_test.py b/tests/attributes_test.py
new file mode 100644
index 0000000..4740e50
--- /dev/null
+++ b/tests/attributes_test.py
@@ -0,0 +1,58 @@
+import typing
+import pytest
+import torch
+from parity_tensor import ParityTensor
+
+Initialization = tuple[tuple[bool, ...], tuple[tuple[int, int], ...], torch.Tensor]
+
+
+@pytest.fixture(params=[
+    ((False, False), ((2, 2), (2, 2)), torch.randn([4, 4])),
+    ((False, True), ((2, 2), (1, 3)), torch.randn([4, 4])),
+    ((False, True), ((2, 0), (1, 3)), torch.randn([2, 4])),
+    ((True, False), ((0, 2), (1, 3)), torch.randn([2, 4])),
+    ((True,), ((2, 0),), torch.randn([2])),
+    ((False,), ((0, 2),), torch.randn([2])),
+    ((), (), torch.randn([])),
+    ((False, False, True), ((2, 2), (1, 3), (4, 0)), torch.randn([4, 4, 4])),
+])
+def x(request: typing.Any) -> Initialization:
+    return request.param
+
+
+def test_arrow(x: Initialization) -> None:
+    tensor = ParityTensor(*x)
+    assert tensor.arrow == x[0]
+
+
+def test_edges(x: Initialization) -> None:
+    tensor = ParityTensor(*x)
+    assert tensor.edges == x[1]
+
+
+def test_tensor(x: Initialization) -> None:
+    tensor = ParityTensor(*x)
+    assert torch.equal(tensor.tensor, x[2])
+
+
+def test_parity(x: Initialization) -> None:
+    tensor = ParityTensor(*x)
+    assert len(tensor.parity) == tensor.tensor.dim()
+    for [even, odd], parity in zip(x[1], tensor.parity):
+        total = even + odd
+        assert parity.shape == (total,)
+        assert parity.dtype == torch.bool
+        for i in range(total):
+            assert parity[i] == (i >= even)
+
+
+def test_mask(x: Initialization) -> None:
+    tensor = ParityTensor(*x)
+    assert tensor.mask.shape == tensor.tensor.shape
+    assert tensor.mask.dtype == torch.bool
+    for indices in zip(*torch.unravel_index(torch.arange(tensor.tensor.numel()), tensor.tensor.shape)):
+        mask = tensor.mask[indices]
+        expect = True
+        for rank, parity in enumerate(tensor.parity):
+            expect ^= bool(parity[indices[rank]])
+        assert mask == expect