Step 1: Understanding the oxidation number of As.
In H\(_3\)AsO\(_3\), hydrogen has an oxidation number of +1 and oxygen has an oxidation number of -2. To determine the oxidation number of As, we use the following equation:
\[
\text{Oxidation number of As} + 3(+1) + 3(-2) = 0
\]
\[
\text{Oxidation number of As} + 3 - 6 = 0
\]
\[
\text{Oxidation number of As} = +3
\]
Step 2: Conclusion.
The oxidation number of As in H\(_3\)AsO\(_3\) is +3.