Utilice varias cláusulas ROW_NUMBER por columna y elija la pertinente:
....
ROW_NUMBER() OVER (ORDER BY [Column1]) as rn1,
ROW_NUMBER() OVER (ORDER BY [Column2]) as rn2,
ROW_NUMBER() OVER (ORDER BY [Column3]) as rn3,
ROW_NUMBER() OVER (ORDER BY [Column4]) as rn4
....
O utilice una expresión CASE. Nota:todos los tipos de datos deben ser compatibles
ROW_NUMBER() OVER (ORDER BY CASE @sort
WHEN 1 THEN [Column1]
WHEN 1 THEN [Column2]
WHEN 1 THEN [Column3]
...
END
O Si realmente desea un número de fila arbitrario, haga esto:
ROW_NUMBER() OVER (ORDER BY (SELECT 1)) as rn