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You will receive a transaction memo the first time you are enrolled. After that you will not, but you can check the list whenever you want.

In the future, we hope to start notifying members every time they are sponsored, but that's just too much to do before enrollments are fully automated.

@simplymike sponsored you and you are mentioned in sbi3 on the memberlist sheet (can be found here https://steemit.com/basicincome/@steembasicincome/steem-basic-income-membership-update-pulling-back-the-screen)
So you should receive, sooner or later, a 0.001 STEEM transfer with the memo "Your enrollment to Steem Basic Income has been completed.". The listing is done manually, so it naturally takes some time.

Thanks for your help!