thomasw21 commented on code in PR #33925:
URL: https://github.com/apache/arrow/pull/33925#discussion_r1095646988


##########
docs/source/format/CanonicalExtensions.rst:
##########
@@ -72,4 +72,30 @@ same rules as laid out above, and provide backwards 
compatibility guarantees.
 Official List
 =============
 
-No canonical extension types have been standardized yet.
+Fixed shape tensor
+==================
+
+* Extension name: `arrow.fixed_shape_tensor`.
+
+* The storage type of the extension: ``FixedSizeList`` where:
+
+  * **value_type** is the data type of individual tensors and
+    is an instance of ``pyarrow.DataType`` or ``pyarrow.Field``.
+  * **list_size** is the product of all the elements in tensor shape.
+
+* Extension type parameters:
+
+  * **value_type** = Arrow DataType of the tensor elements
+  * **shape** = shape of the contained tensors as a tuple
+  * **is_row_major** = boolean indicating the order of elements

Review Comment:
   I don't know if that helps the discussion:
   
   ```python
   import torch
   
   def get_1d_memory_buffer(tensor):
       return "".join(hex(elt) for elt in x.storage().untyped().byte())
   
   x = torch.randn(2,3)
   y = torch.empty(3,2).transpose(0,1)
   
   # Fill y with x data
   y[:] = x
   
   assert x.shape == y.shape
   assert get_1d_memory_buffer(x) != get_1d_memory_buffer(y)
   # You can try printing `x` and `y` and you'll see that the tensors are the 
same
   ```



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