1. Place sliced cucumbers in a large bowl and mix with the minced pepper, ginger, and lime juice. Pack this mixture into your 1 qt. glass jar.
2. In a separate bowl, mix the salt with 1 cup filtered water. Pour this into the jar over your cucumbers. Add more filtered water to bring the liquid about 1 inch below the top of the jar. All of the cucumbers should be covered (rearrange/remove a few if they are not).
3. Cap tightly and allow to sit for 3 days at room temperature.
4. Open the jar and see if the liquid is fizzy. If not, re-cap and allow them to sit for 1-2 more days. If there is evidence of lacto-fermentation (that's the fizziness), go ahead and taste a pickle. If you are satisfied with the flavor, transfer to the refrigerator for storage.