# why people don't use the same generators?

i want to make many pederson commitments $$C=g^s h^r$$ for a long time , do i have to change the generators $$g$$ and $$h$$ or its ok if i always used the same ones

You can use the same $$g$$. However, if the discrete log of $$h$$ relative to $$g$$ is known, then Pedersen is no longer binding. Thus, you cannot use an $$h$$ if there is any possibility of someone else knowing that discrete log.