Open the packets of the concentrated broth and put them into a bowl. Mix with 4 cups of water.
Keep in the freezer for 4 to 5 hours so it gets slushy. If you can’t make the broth in advance, make the broth with only 2 cups of water and add 2½ cups of ice cubes. Keep it in the fridge while you prepare everything else, and take it out just when you’re ready to serve.
Make quick pickled cucumbers by combining the sliced cucumber, kosher salt, ½ teaspoon sugar, and vinegar in a bowl. Mix it well and set aside.
Make sugar water by mixing 1 cup of water and 1 teaspoon sugar.
Peel the pear and slice into halves. Slice one half into thin strips and soak them in the sugar water to keep them from going brown.
Grate the other half of the pear and squeeze out the juice using a cotton cloth or cheesecloth. You should get about ½ cup of pear juice.
Take the bowl of broth out of the freezer. Squeeze some cucumber brine into the broth and add the pear juice. Mix well and put the broth back in the fridge or freezer until the noodles are ready.
Bring a large pot of water to a boil. Add the noodles and stir with a wooden spoon. Cover and let them cook for 3 to 5 minutes.
Strain and rinse the noodles in cold running water until they aren’t slippery anymore and are well cooled.
Fill a large bowl with cold water and some ice cubes. Add the noodles and rinse them a final time.
Drain the noodles and divide them into 2 large shallow bowls.
Pour the icy broth into each bowl.
Place the cucumber and pear on top.
Add a packet of mustard oil to each bowl.
Sprinkle with some sesame seeds powder. Add a half egg on top of each bowl.
Serve right away.
