The pH of a solution can be calculated using the formula:
\[ \text{pH} = -\log[\text{H}_3\text{O}^+] \]
In this case, the concentration of hydronium ions \([\text{H}_3\text{O}^+]\) is given as \(1 \times 10^{-4}\).
Now, we can calculate the pH:
\[ \text{pH} = -\log(1 \times 10^{-4}) = -(-4) = 4.00 \]
Therefore, the pH of the solution is 4.00.