Stealing is a Noahide commandment. If a non-jew violates a Noahide commandment he is obligated to die. That means if he steals a shave perutah ( שוה פרוטה, a tiny amount) or something he's obligated to death?
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The Gemara says that a non-Jew is liable to death for stealing less than a penny. "אמר רבי חייא בר אבא אמר רבי יוחנן בן נח נהרג על פחות משוה פרוטה ולא ניתן להשבון"
The Rambam agrees.