thomasw21 commented on code in PR #33925:
URL: https://github.com/apache/arrow/pull/33925#discussion_r1095696096


##########
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:
   Btw I fixed a bug in my script ...
   
   > The difference is that x would be stored as shape (2, 3), and y would be 
stored as (3, 2)
   
   I understand that there exist a permutation of dimensions that allows me to 
get a "row major" format. I think it doesn't change how you store the 
permutation information, ie via dimension names or stride. It felt like a 
natural concept to me to store `stride`, as this would allow just provide a 
better generalisation IMO. But I do understand if the current extension would 
focus on pure row_major.



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