When comparing Federated Wiki vs Gitit, the Slant community recommends Gitit for most people. In the question“What is the best cross-platform note-taking app?” Gitit is ranked 36th while Federated Wiki is ranked 60th. The most important reason people chose Gitit is:
Giti has a multitude of formats that it allows to be exported, including LaTeX, ConTeXt, DocBook, RTF, OpenOffice ODT, and MediaWiki markup.
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Pros

Pro Stories
Arrange your personal view of a wikis content by opening local and remote pages next to each other. Shift-clicking a link will open it next to already open ones. The story will then be visible in the URL.

Pro Free and Open Source Software

Pro Versioning
Your page is the Journal of the page.

Pro Drag and drop refactoring
Recompose your contents all the time.

Pro Federation
Write locally, fork to your public site. Fork from others.
Pro Lots of export formats
Giti has a multitude of formats that it allows to be exported, including LaTeX, ConTeXt, DocBook, RTF, OpenOffice ODT, and MediaWiki markup.
Pro Supports markdown
Getit supports markdown, a plain text formatting syntax that is designed so that it can be read by HTML.
Pro Free and open source software (FOSS)
Licensed under GPLv2 so you can download source code and customize to meet your needs, provided that you know or are willing to learn Haskell.

Pro Can be used collaboratively by multiple people

Pro Renders math
Using MathJax.
Cons
Con No drag'n'drop file upload
Con Requires Haskell
On some Linux platforms a binary package for Haskell may not be included in the standard repositories. So, it will be necessary to compile Haskell from source code or find a non-standard package repository, which may seem like a hassle if you don't use Haskell for anything else.
