Prepare the produce: Peel and dice the sweet potato into roughly 1/2-inch cubes so they cook evenly. Remove kale ribs and chop the leaves into bite-size ribbons — this ensures the kale wilts quickly without overcooking. Thinly slice the shallot, mince the garlic, and zest the orange into a small bowl; separate 2 wedges for charring. Why: uniform pieces give predictable cook times and better caramelization, and zest holds concentrated citrus aroma you’ll use to finish the dish.

Par-cook the sweet potato (microwave or steam 4–5 minutes until just tender but still holding shape). Pat the cubes very dry with paper towels. Why: removing surface moisture lets the potatoes brown instead of steaming, producing crisp, caramelized edges which are critical to a great hash.

Heat a large, heavy skillet (cast iron preferred) over medium-high heat. Add 1 tbsp olive oil and when shimmering add the dried sweet potato cubes in a single layer (do this in two batches if needed). Let them sit undisturbed for 2–3 minutes to develop a deep golden crust, then flip and brown other sides for another 2 minutes. Why: direct contact and patience build the Maillard reaction (browning) that creates nutty, savory flavor and pleasant crunch.

Lower heat to medium and push the sweet potatoes to one side of the pan. Add the remaining 1 tbsp olive oil to the clear side, then add the shallot and a pinch of salt. Sauté 1–2 minutes until softened and translucent; add the minced garlic and cook 30 seconds until fragrant. Why: cooking the aromatics in separate oil allows them to soften without burning and ensures their flavors distribute evenly through the hash.

Sprinkle smoked paprika and ground cumin over the aromatics and potatoes and stir to combine, toasting the spices in the pan for 30–45 seconds. Why: toasting spices in oil (blooming) releases their essential oils and deepens flavor — smoked paprika will add that warm, smoky backbone to balance the sweet potato.

Add the chopped kale, a big pinch of salt, and a splash (about 1–2 tbsp) of water. Toss and cook 2–3 minutes until kale is wilted and glossy but still bright green. If the pan looks dry, add a teaspoon of water to create a little steam — this helps the kale collapse without getting mushy. Why: brief steaming locks the moisture and tenderness while preserving color and texture.

Taste and adjust seasoning with salt, pepper and a squeeze of the orange zest (reserve wedges for serving). If you like a touch of brightness, add the optional 2 tsp lemon juice. Stir in the chopped parsley and, if using, the butter for a silky finish. Why: final seasoning layers brightness and herb freshness; butter rounds the edges and gives a restaurant-silkiness.

Char the orange wedges: heat a small cast-iron or stainless skillet until very hot (no oil needed) and sear each orange wedge cut-side down 30–45 seconds until caramelized and slightly blackened. Alternatively, use a torch or broiler. Why: charring concentrates the orange’s sugars and adds smoky caramel notes that play beautifully with the smoked paprika and sweet potato.

Poach the eggs: bring a medium saucepan of water to a gentle simmer and add 1 tbsp white vinegar (optional — it helps egg whites coagulate). Swirl the water to create a gentle vortex, lower each egg into the water and poach 3 minutes for a runny yolk (3:30 for medium). Remove with a slotted spoon and drain briefly on paper. Why: the vortex helps wrap the whites around the yolk for tidy poaches; gentle simmer prevents the egg from shredding.

Plate: divide the hash between two plates, nestle a poached egg on top of each portion, and arrange a charred orange wedge alongside. Finish with the remaining parsley, a grating of orange zest, a pinch of smoked paprika if desired, and freshly ground black pepper. Serve immediately so the yolk can mingle with the sweet potato and kale. Why: assembling while hot ensures the yolk creates a rich sauce and the citrus aroma is at its freshest.