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The gippatoth is equal to $$100\uparrow\uparrow 200 \ \&\ 10$$ using the array of operator and BEAF.[1] The term was coined by Cookie Fonster. Since BEAF has not been formalised up to this level, this number is currently ill-defined.

## Approximations

Since it is not defined by now, the following approximation is just an expected value under climbing method (strong bound):

Notation Approximation
Fast-growing hierarchy $$f_{\varepsilon_{\varepsilon_0} } (100)$$
Hardy hierarchy $$H_{\varepsilon_{\varepsilon_0} } (100)$$
Slow-growing hierarchy $$g_{\theta_{\varepsilon_{\varepsilon_{\Omega+1}}}(0)}(100)$$