Bitcoin jumped more than 10 percent Tuesday from session lows of below $10,000.

The digital currency climbed to $11,358 in midday trading, up 13.9 percent from a low of $9,972.29 hit early Tuesday morning, according to CoinDesk's bitcoin price index, which tracks prices from digital currency exchanges Bitstamp, Coinbase, itBit and Bitfinex. The dip below $10,000 had marked bitcoin's second drop below the psychologically key level in a week.

Bitcoin plunged more than 30 percent in the middle of last week, briefly falling below $10,000 to a low of $9,199.59 on CoinDesk, after concerns about increased regulation in South Korea and China. Prices had stabilized by the end of the week, but began falling again Monday.

Bitcoin performance Tuesday

Source: CoinDesk

Cboe bitcoin futures traded about 10 percent higher near $11,210, while CME bitcoin futures were more than 7.5 percent higher around $11,145. Trading in Cboe bitcoin futures was briefly halted due to the price move.

No specific driver was immediately apparent behind Tuesday's price action. At session lows, bitcoin was down more than 25 percent for the year so far, but remained more than a staggering 955 percent above January 2017 levels.

"It was a bubble. It is a bubble," Ray Dalio, founder of hedge fund giant Bridgewater Associates, told CNBC Tuesday from the World Economic Forum in Davos, Switzerland. "A perfectly good market can be in a bubble."

"I don't know how to value it," Dalio said. "I believe in the blockchain technology. I think it's great, but that notion of how to trade it and how to value it is not my expertise."

Bitcoin's initial losses Tuesday did come as more details emerged around South Korea's efforts to limit speculation in cryptocurrencies.

The South Korean Financial Services Commission announced Tuesday that a proposed ban on anonymous trading accounts will take effect Jan. 30.