Known as Attent, Seriosity's system is essentially a new currency--called the Serio--that corporate e-mail users spend to indicate a message's importance: the more important they believe the message is, the more Serios they spend on it. Recipients keep the Serios in the messages they get.
Similarly, when someone receives a message with Serios attached, they can indicate how important they believe it is by responding with an appropriate number: none or very few if they think the message wasn't valuable, an equal number if they want the sender to know they appreciated the message, or more than the original number to show they agree that it truly was crucial.
But Serios is a currency, and therefore a scarce resource, so people get a limited amount. The idea is that they have to spend the currency wisely, always making sure they have enough to send more with future messages.
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