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Do they/will they have a Pick number?
They were issued way back in the 1980s, so they're hardly new news. If they aren't listed in Pick yet, they aren't going to be.
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Do they count as 'paper money' or as a coin?
That's an interesting question. They're always called "notes", and they're certainly designed to look like notes. Even though Antigua & Barbuda is a member of the Eastern Caribbean Currency Union and uses Easte Caribbean States coins and notes, the Government of Antigua & Barbuda has
given itself the authority to issue "commemorative currency notes" as well as "commemorative coins". I assume these notes were issued under this authority, though whether as "coins" or "notes" I am uncertain. They aren't listed in the coin catalogues, either.
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Are they worth the $20 that they seem to be running for?
Things are only worth what people are prepared to pay for them. If people are paying $20 each, or $2000 for a set of twenty in a folder, then that's what they are worth.
Intrinsically, yes, there is more than $20 worth of gold in them. "EACH NOTE WEIGHS 2.5 GRAMS...23 KARAT", according to the
ebay seller you linked to above. Assuming that's all true, then at current gold prices, that's about $38 in gold value alone.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis