Add the water and starter to a bowl. Mix well with a fork.
Top the water and starter with flour and salt. Mix everything well until a shaggy dough forms.
Cover the bowl with a damp kitchen towel and allow the dough to rest for 1 hour.
While the dough rests, drain the pickled jalapenos and cut them into smaller pieces if they are too large
Cut or shred the cheddar cheese and set that aside.
When the hour is up, sprinkle the jalapenos and cheddar cheese onto the dough. Fold the dough over onto itself so the jalapenos and cheddar cheese are completely incorporated into the dough.
Cover the dough with a damp kitchen towel and allow it to rest for 8-10 hours. You want the dough to double in size and look bubbly at the surface.
After the 8-10 hours are up, turn the dough out onto a floured surface. Fold the top third of the dough down towards the middle of the dough and fold the bottom third of the dough up towards the middle of the dough. Flip the dough over and shape it again. Move the dough in a circular motion to tighten the dough.
Place it seam side up in a kitchen towel lined bowl. Cover with a damp towel and place it in the refrigerator for 1 hour, or overnight.
When you are ready to bake, preheat the oven to 500 degrees. After the dough has set for one hour in the refrigerator, turn the dough onto parchment paper. Place the dough and parchment paper in a Dutch oven. Score the top of the bread with a sharp knife or a razor blade.
Lower the oven to 450 degrees and place the covered Dutch oven into the oven. Bake for 20 minutes. After 20 minutes, remove the cover from the Dutch oven and bake for 35 minutes more. Allow the bread to cool before slicing