An hour, outdoors in direct sunshine, will expose you to more gamma and ionizing radiation than a lifetime of exposure to an amount of tritium many times this size. Even if you swallow the stuff. Or break the glass vial and poke the jagged end of the open vial deep into your eyeball and roll the tritium down in there. But back to the sun. If you should ever find yourself at an elevation of say, 5,000 feet above sea level, like in Denver, Colorado...or Mexico City, Mexico...where the ozone layer is thinner...and God forbid, by the time you get to 10,000 feet, in say, Leadville, Colorado...well...honestly, if you get a serious sunburn, twenty years to the day the dermatologist will be cutting chunks out of your hide. And those are the mildest, non-lethal cases.
Ever think about the several thousands of good, hard-working folks that die of slip and falls stepping into and out of the bathtub each year? Or millions that die within 5 miles of home, driving? And you did hear that there's a resurgence of Measles cases, more from typhus in Los Angeles, Australia even struggled to contain congenital syphilis for a bit.
There are literally thousands upon thousands of horrible ways to die.
So really, take your chances with a little glowy tube of tritium and feel good about it.