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One example of FAIR mathematics is the project small phylogenetic trees: an early 2000’s mathematical library transformed into a modern website, a software package, and a best practice report.

The MaRDI HelpDesk team together with maintainers of the original library, researchers actively using the content, and in discussion with data stewards and information specialists, took the original database and made it FAIR. In particular, the team successfully tackled three interlinked work packages. For one, they set up a modern website displaying the content of the library in a straightforward, user friendly fashion, available at algebraicphylogenetics.org. Two, they heavily focused on providing thorough computational proof for every result displayed. To achieve this, the website was supplemented by the AlgebraicPhylogenetics.jl software. The code is part of the AlgebraicStatistics.jl package in the OSCAR project, written in the programming language Julia. Three, the team wrote an extended project report, including before-and-after analysis of FAIRness and a research-data management plan. This report discusses lessons learned and provides guidelines for other, similar projects to FAIR their own data.

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