Example is active

gistfile1.txt

//Archive Ad Widget Area
genesis_register_sidebar( array(
	'id'          => 'archive-ad-widget',
	'name'        => 'Archive Ad Widget',
	'description' => 'This is for the Archive Ad Widget Area'
) );

add_action( 'genesis_after_header', 'sk_archive_ad', 22 );
function sk_archive_ad() {
	if ( is_category() ) {
		if ( is_active_sidebar( 'archive-ad-widget' ) ) {
			echo '<div class="archive-ad"><div class="wrap">';
			genesis_widget_area( 'archive-ad-widget',
				array(
					'before' => '<div class="archive-ad-widget widget-area">',
					'after'  => '</div>',
				) );
			echo '</div></div>';
		}
	}
}