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A canvas equivalent is cotton denim. You can take some and wrap
it on a 2.5" stick. A couple layers wrapped on a paddle shaped
thin board will do the trick. Glue or staple it to the wood.
One...

Did you strop with leather or canvas+leather.

I ask because if you rolled the edge a little
(not a lot) going back to the canvas for 10-15
followed by leather 30-50 could pull the edge back
in...