Limine was created as the reference implementation for the stivale boot protocols. The protocols were conceived as a response to the shortcomings of Multiboot. As of Limine 3.x, a new boot protocol, simply called the Limine boot protocol was introduced to supersede stivale 1 and 2. As of Limine 4.x, support for the legacy stivale protocols has been dropped.
Supported protocols and filesystems
As mentioned above, Limine supports the Limine boot protocol, alongside Linux's own boot protocol (which means one can boot Linux fully using Limine), multiboot 1 and 2 (allowing it to boot a vast catalogue of hobby OSes and more), and chainloading to allow to undirectly boot unsupported operating systems such as Microsoft Windows.
How to use Limine with your kernel
The Limine Bare Bones article contains a basic tutorial on how to use Limine and its protocol. Furthermore, a GitHub repository containing a simple example template for a 64-bit kernel loaded using Limine can be found in the external links section.