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I accepted an offer recently. Am I supposed to hear back at some point from the recruiter--even if it's just "K. Cool. See you next summer."? Or is it perfectly acceptable for them to stay silent and that's also an acknowledgment of my acceptance?

You should call to accept

I called the partner who called me to extend the offer and then I followed up with recruiting through email. Recruiting got back to me within a day. But recruiters are super busy right now, so I would follow up with phone call if you haven't spoken to anyone over the phone yet.