‘Shiv Jha-Mathur’: Demystifying The Hyphen

My legal name is Shiv Jha Mathur:

Shiv(given name)Jha Mathur(family name)

Outside of legal documents, I add a hyphen to indicate that Jha and Mathur must be kept together, making it Shiv Jha-Mathur:

Shiv(given name)Jha-Mathur(family name)

In other words, I have a two-part last name and a single first name. I do not have a middle name or two first names. So, for example, my name is not: