Is there really a title such as 'syed' or 'shareef' for the descendants of Prophet Muhammad (ﷺ)?

There are people today who can trace their genealogy to the Prophet (ﷺ). What they call themselves depends on local customs and languages. However, the question would be are such people really related to the Prophet (ﷺ)? Yes, there are people like that and there are some well-known families in the Gulf etc, but for the others, we do not really know unless they establish that maybe through historians or scholars or genealogy.