jorisvandenbossche commented on code in PR #33925:
URL: https://github.com/apache/arrow/pull/33925#discussion_r1106887101


##########
docs/source/format/CanonicalExtensions.rst:
##########
@@ -72,4 +72,57 @@ 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

Review Comment:
   `dim_names` and `permutation` are also parameters (optional). So maybe we 
could move the actual description of the parameters here, and below in the 
"Description of the serialization" bullet point only focus on the formatting of 
the parameters in the serialized metadata?



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