I can't blame them, really: in researching soft-boiled eggs, I found no less than five "experts" claiming that even though it is called a three-minute egg, it should be steeped, boiled, simmered or steamed for seven, six, five-to-seven, or four minutes. Vigorous discussion of the pre-cooking egg temperature is also included. No wonder nobody wants to mess with it!
The problem is that you're working with several variables, but you only have good control of the water temperature and the cooking time. Most people in the real world use refrigerator-temperature large eggs. Add or remove time accordingly if your eggs are warm or an odd size. The other, more important variable is YOU: exactly how "done" do you like soft-boiled eggs? As shown, I prefer to err towards runny, but many people call eggs with a set yolk "soft-boiled." Eggs are cheap: do a few, figure out what works for you.
So, bring a pot of water, enough to cover the eggs, to a vigorous boil. Turn down the heat until it is a bare simmer (just a few bubbles barely breaking the surface.) Lower the eggs in using a spoon (the less you jostle them, the less likely they will be to crack even if they are right out of the fridge.) Adjust the temperature until you have a few bubbles again, and set a timer for four minutes. Remove the eggs, shock them in some icewater to stop the cooking, and then put them in warm water until your toasts are ready.
Slices of lightly-toasted bread, as desired (about 1 per egg per person)
1 4oz jar of pimientos (will make about 2-3 toasts)
2-3 tablespoons of shredded sharp cheddar cheese (will make about 2-3 toasts)
"Soft-boiled" eggs, as above (refrigerated eggs placed in simmering water for 4 minutes then "shocked" with icewater)
This couldn't be simpler. Drain your pimientos and fry them lightly to remove some of the moisture. Spread them on your toast, top with cheese, and run under your broiler for 3-5 minutes, until the cheese melts and browns slightly. Cut into long, thin sticks. Dip into the yolk of your soft-boiled eggs and enjoy!
I started this post by trying a version of ham-and-cheese soldiers, same method but with diced ham - and I used a combination of mozzarella and parmesan cheese. Delicious.