This category is designated for numbers that are supported by peer-reviewed sources. To include a number in this category, the following conditions must be met:
- The name of the number should appear in a peer-reviewed source, such as an academic paper or book.
- The source of the number's name must be properly cited in the article.
- For books exceeding 10 pages, the specific page number should be cited in the source.
Note that even if a notation system (like Conway's illion naming system or chained-arrow notation) has a peer-reviewed source, a specific number's name must appear in that source to qualify for this category.
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