You wrote "How do you know that Pakistan has zero nuclear weapons?"
Let me ask you, how do you know that Pakistan HAS nuclear bombs? From the media reports..right? Can media create false impression? Can the wole media lie? answer is yes. Indian media takes its cue from the Reuters and AP. There is no checking facts or findign holes in the story. Have you heard of the term alternative reality?
If you only knew how uncle Sam operates when it comes to nuclear technology under the hands of any other country more so in the hands of Islamic country like Pakistan, you won't be asking such childish question. Do some google search on Pakistan's nuclear program, AQ Khan, Kahuta and you will find the answer.
I agree that China does have nuclear weapons and that is why India needs to keep developing deterrance. But US would like India to be dependent on her security like Japan. Unfortunately, unlike Japan, US has been providing cover to Pakistan for terrorist activities in India. And there is no proof or assurances that it would stop doing that in future. Hence India has to hold some cards in hand if uncle Sam starts creating trouble again. US can not and must not be trusted.