Each publicly known flaw gets an ID in the form CVE-year-number, such as CVE-2021-44228. The ID lets vendors, researchers, scanners and defenders talk about the same flaw without confusion, even when each of them calls it something different. The program is run by MITRE and funded by CISA.
An ID is only a label. It does not say how bad the flaw is, whether it is being exploited or whether a fix exists. Those facts live in other places, such as the CVSS score, the vendor advisory and the CISA KEV catalog.
Log4Shell is the well-known example. The flaw in the Apache Log4j logging library was tracked as CVE-2021-44228, and every advisory, scanner rule and patch note from late 2021 pointed back to that one identifier.
Use CVE IDs as the key in your inventory and response notes, search advisories by ID and not by nickname, and check each ID against your own products and versions.