Burstcoin white paper, incorporating the best from several predecessors
As a coin resulting from several forks of successive forks of Bitcoin, Burstcoin retains many traits inherited from preceding coins. As you may know from reading the history of Burstcoin, Burstcoin is a code fork based on an extensive modification of NXT, which itself is a fork of Bitcoin. As such, there are several relevant white papers.
The most recent and most exclusively Burstcoin is the ‘The Burst Dymaxion’, a white paper outlining the future of Burstcoin. It describes the implementation of a layer on top of the Burstcoin blockchain which will be capable of sustaining the total global load of non-cash transactions.
Second is the the NXT community white paper: With the NXT fork from NXT, Burstcoin removed proof-of-stake completely and replaced it with proof-of-capacity. A concept similar to proof-of-capacity is referred to as proof-of-space (of which there are no active coins). The proof of space white paper by Dziembowski, Faust, Kolmogorov and Pietrzak is nevertheless relevant. Based on this paper, a proof-of-space cryptocurrency called SpaceMint was proposed in a white paper by Sunoo Park, Kwon, Fuchsbauer, Pietrzak et al. Both of these papers are only mentioned as a loose reference. The SpaceMint paper specifically references Burstcoin.