Hi Prismstudios,
Thanks for coming to Apple Support Communities for help with the warranty for your new Apple Pencil.
The warranty for the Apple Pencil will be in Apple's system. You can even get the serial number in Settings > General > About on your iPad when the Pencil is plugged in.
For more about the warranty, have a look at iPad Service and Repair and scroll down to "Apple accessories".
There you will find "Apple-branded accessories, including Apple Pencil, are covered under the Apple One Year Limited Warranty for accessories. You can repair or replace the battery in your Apple Pencil for a fee, or for free if the battery is defective and covered by the warranty, AppleCare+, or consumer law. Our warranty doesn’t cover wear from normal use."
And:
"Your Apple Pencil is also covered under AppleCare+ for iPad, including accidental damage. You can use one of the two incidents of accidental damage included in AppleCare+ for iPad to cover a damaged Apple Pencil. Or you can pay the out-of-warranty service fee."
Have a great day!