What is meant by "Other US person"?

Other US persons include green card holders and US tax residents (Visa holders, ITIN holders, etc).

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I have a U.S. Green Card but am not a U.S. taxpayer. What additional information or documentation do I need to provide to ensure you can accept my Form W-8BEN?
FATCA FAQs - Issues Involving U.S. Green Card Holders
I used to have a U.S. Green Card but gave it up. What additional information or documentation do I need to provide to ensure you can accept my Form W-8BEN?
What additional documentation do I need to provide after my written explanation about my expired Green Card was rejected?