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1
In a medium bowl, whisk the egg yolks, lemon zest, 1 tablespoon of the lemon juice and 1 1/2 teaspoons of the fine salt.
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2
Whisking constantly, slowly stream in the olive oil until the aioli is thick and glossy.
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3
Whisk in 1 more tablespoon of the lemon juice and the anchovies.
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4
Cover and refrigerate.
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5
Add the remaining 3 tablespoons of lemon juice to a large bowl of cold water.
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6
Working with 1 artichoke at a time, trim the stem.
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7
Snap off the leaves until you reach the tender light green inner leaves.
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8
Cut off the top third of the artichoke and trim off any tough leaves near the base.
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9
Halve the artichoke lengthwise and scoop out the fuzzy choke if necessary.
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10
Drop the artichoke in the lemon water.
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11
Repeat with the remaining artichokes.
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12
In a medium, straight-sided skillet, heat 2 inches of canola oil to 250.
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13
Line a rimmed baking sheet with paper towels and top with a rack.
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14
Drain the artichokes well and pat dry.
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15
Fry in 3 batches over moderately high heat until tender and just beginning to brown, about 5 minutes.
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16
Using a slotted spoon, transfer the artichokes to the prepared wire rack to drain.
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17
Heat the oil to 375.
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18
Fry the artichokes again in 3 batches until crispy, about 1 minute per batch.
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19
This time, drain on the paper towels.
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20
Season generously with sea salt and serve hot with the aioli and lemon wedges.