Form I-94
The I-94 arrival/departure record confirms that you have been admitted to the US. It's now an electronic document and is no longer issued in paper form (except in special circumstances).
Your most recent I-94 is the official immigration document that confirms your current immigration status (i.e. proof of immigration registration). The US government requires nonimmigrants over the age of 18 to carry a copy of their I-94 with them at all times while in the US. Even if someone is younger than 18, it would be prudent to carry an I-94 copy.
You can download, save, and print a copy of your I-94 on the CBP website. Whenever you enter the US, you should save a copy of your new I-94 for your records and verify that all information is accurate. If there are errors, let us know so we can help get them corrected.
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Sample I-94 electronic admissions record