Given you have referenced Github, I will assume this related to some type of As an open source project, a note to oss-sec is a good idea. This will bring it to the attention of most upstream distributors.
You do not need to subscribe to post to oss-sec, but you should note carefully the etiquette/content guidelines in the link above. A rummage through the archives should point you in the right direction, this one is a recent posting (from the list maintainer) the form of which you could usefully copy:
The NIST National Vulnerability Database is driven by CVE data and should be updated in the near future, they don't suggest how long it might take though. The NVD FAQ also has some useful details, including contact procedures for missing or incorrect entries. I'd suggest giving it at least two weeks (based on empirical evidence) after you post to oss-sec before following up though, the CVE people tend to be busy.