Tyre Travel Pump

I don’t carry anything. If the tyres flat it’s usually because it has something in it like a screw.
On a long trip I carry a tyre plug/ puncture repair kit which has small Co2 canisters that use a valve adapter, I think mines GIVI
Luckily never had to use it

 

Not sure on the space under the hyper seat.....
I can tell you next week when I pick my hyper up
https://www.adventurebikeshop.co.uk/tools-/givi-puncture-repair-kit/

 

There is next to no room under the seat.
If you leave the tool kit at home ,you can fit a small puncture and canister repair kit in its place ,but nothing like the one in the previous post .The one i had was in a plastic bag and very small.

 

I have a Best Rest cycle pump which I also use at home for the Hyper and scoot. It works well and is very robust. Won't fit under the seat though. It either goes in the top box if we are travelling or on shorter trips gets strapped to the mounting plate for the box. Not cheap, but decent quality.

https://bestrestproducts.com/product-category/cyclepump-ez-gauge/cyclepump-expedition-combo-w-gauge/

 

If I'm doing long distance I've got Krieger courier bag....usually have a hand full of tools in there...

 

Sorry op, that kit isn't going under an hyper seat.... There is just about room for the air it pumps

 

Have a look at the "Dynaplug" puncture repair system.
Its the smallest, neatest, easiest to use system that I've come across.
Also the manufacturers claim that the resultant repair is reliable in the long term, not just as a get-you-home measure (though you would still probably get a proper repair done when time permitted).
One major advantage of the system is that you don't need to ream out the puncture hole before fitting the repair plug.
This means that if you get a nail in the tyre and it has lost some, but not all of its pressure, you can retain (most of) the residual pressure while the repair is done, rather than losing it all when you ream the hole.
Therefore fewer gas canisters are needed to repressurise the tyre after the repair has been completed .. meaning that you need to carry fewer canisters.
My kit fits under the seat of my monster.
Unfortunately (or luckily, depending on your point of view) I haven't had a puncture since I bought the Dynaplug kit so I can't give a total recommendation from user experience but it certainly looks like the best repair system that I have come across.
And its tiny.