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Can someone please give any link or mention any source where I can find the following preprint. W.Thurston, A spine for Teichmüller space, preprint, three pages, 1986.

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You can find a quite detailed summary of Thurston's unpublished manuscript, which apparently is only three pages, as well as a critical discussion on page 13 and following of this 2014 paper by Lizhen Ji. I presume that an email to the author will get you Thurston's manuscript as well.

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