How to steal bitcoin private keys?

• A summary of various methods and ways known until recently for recovering bitcoin private keys.
• A new very significant series of advanced key recovery attacks on ECDSA in cryptocurrencies.

Data produced by UCL researchers and UCL students:

• A list of known repeated random events in bitcoin blockchain.
• The same list as a text file with a lot of additional details (e.g. public keys, original scripts, IP address, IP geolocation results etc).
• And here is a list of events where a certain public key has produced signatures with at least 2 distinct bad randoms (preliminary version does not include multisig events).
• And here are some visualizations:  since ever, the May 2014 outbreak and the early 2015.
• And here is the same data visualized as a graph (March 2015).
• A list of repeated random digital signature events in LiteCoin blockchain generated by UCL student Kwok Cheng. And here is a tutorial and sources how this can be obtained by another UCL student  Qin Tang.
• A list of repeated public key events in Stellar/Lumen blockchain generated by a team of UCL students with Amer Joudiah, Sebastian Toscano and Mohammad Omer Mirza, larger version with more repeated key events. And here is UCL Stellar explorer software.
• Software for mining the ZCash blockchain created by UCL student Davitt Killian.
• Exploring the repeated primes in TLS: datasets produced by UCL students about prime numbers used twice by Internet servers and devices are available here.
• Some UCL bitcoin databases. See also UCL bitcoin transaction data mining tutorial.
• UCL student starter project for password cracking with some databases included.

Other sources:

• Blockchain.info, a major source.
• A web site with fast API for crypto currency pricing data: Cryptocompare.com.
• Real-life animated visualization of the bitcoin blockchain.