What is a Nikkor-H? Back in the day Nikon had a system of letters for different numbers of elements in the lens. "H" is short for "Hex" which indicates six elements.
This is a beautiful 50mm lens for your older Nikkormat, F or F2 or mirror-less digital (with an adapter). There are a few fine cleaning marks on the rear element and on an inner element but I can only see them with a flashlight, they won't affect your image quality. Otherwise it has clean, scratch-free glass. The focus is smooth. The aperture is dry and snappy. Caps are included.