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Preheat oven to 350 degrees.
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Spread pine nuts in a small baking pan and toast in the oven until golden and fragrant, 7 to 10 minutes.
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Transfer to a small bowl to cool.
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Increase oven temperature to 450 degrees.
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Snap off the tough ends of asparagus.
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Toss the asparagus with shallot, oil, 1/8 teaspoon salt and pepper.
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Spread in a single layer on a large baking sheet with sides.
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Roast, turning twice, until the asparagus is tender and browned, 10 to 15 minutes.
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Meanwhile, bring vinegar and the remaining 1/8 teaspoon salt to a simmer in a small skillet over medium-high heat.
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Reduce heat to medium-low and simmer, swirling the pan occasionally, until slightly syrupy and reduced to 1 tablespoon, about 5 minutes.
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To serve, toss the asparagus with the reduced vinegar and sprinkle with the pine nuts.