The Order or Account Book is public and all the transactions that take place may be reviewed as well as the balances existing at each address.
There are many sites providing the service of verifying a transaction.
For Bitcoin (BTC):
For Ethereum (ETH)
For Ripple (XRP) for ripple you also need a "Destination Tag"
To use these sites you will need an address or a transaction ID to locate a specific movement.
If you wish to review a movement of your Bitso account you must visit your "History"