[Updated]

Having only briefly topped the $4,800 mark for the first time yesterday, bitcoin's price has bounced back to achieve a new high just cents below $4,880 today.

Opening the session at $4,764.87, vigorous trading has seen the value of a bitcoin rise this morning to a record-setting $4,879.24 – up around $115 for the day so far, according to CoinDesk's Bitcoin Price Index. At press time, the price had dropped slightly to $4,876.

The market capitalization of the number one cryptocurrency has now reached over $79.7 billion – also a new high – and a market share of 45.4 percent, according to data from CoinMarketCap.

Elsewhere today, litecoin has also set a new all-time high of over $78, as has the combined market cap of all cryptocurrencies, which now stands at over $175 billion.

Climbing wall image via Shutterstock