On a personal level, who you purchased from is irrelevant. However, as a precaution, if your purchases do total over $10,000 you should have some form of "receipt proof", with some form of simple ID to match.
If you operate as a business.. then it may or may-not matter who you purchase from, under $10,000. (May)
Your purchase on localbitcoins, through wire, is responsibility of localbitcoins, not you. You did not initiate a personal 1on1 transaction, the service "localbitcoins" has provided the "contact", and recorded what they should be recording as some form of identity. (Since they "facilitated the exchange".)
However, keep note of those BTC values when you purchased them. Because when you sell them, you have to deduct the price you paid from your "final sale price", which is your "NET" which is a taxable gain. (If you claim that income.)
Also, knowing what you paid for those, will help you determine the price to sell them for, or the price at which you need to buy more, to hedge your losses. (Eg, buying 1 at $1000/BTC, tehn buying 1 more at $500/BTC, now you have hedged the loss, making the average for the two $750/BTC, and thus, you would be gaining if you sold both those at $800/BTC now. With a taxable net gain. Unless you only sell one for $800, then you could claim a $200 loss, as you would rightfully have sold the highest debt first, for that loss claim. Unless you wanted to claim taxable gains by saying the $500 coin was sold for $800.. but that would not be as wise.
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