The Burst White Paper Resources
Burst has many traits from many different "fathers", so it's not possible to list just one white paper. Down below you will find a list of related white papers.
The most recent and most constituent white paper on Burst is The Burst Dymaxion, describing the concept and implementation of a layer to the Burst blockchain capable of sustaining the total global load of non-cash transactions.
There was a substantial modification to the fork by carving out Proof-of-Stake (PoS) completely and replacing it with PoC (Proof-of-Capacity). A similar concept to Proof of Capacity is called Proof of Space and was described 2013 in the Proofs of Space paper  by Dziembowski, Faust, Kolmogorov and Pietrzak.
Based on this paper, a Proof-of-Space cryptocurrency "SpaceMint" was proposed in a paper by Sunoo Park, Kwon, Fuchsbauer, Pietrzak et al.
Both these papers ("Proof of Space" and "SpaceMint") are only mentioned as a loose reference and because the SpaceMint paper refers to BURST. Their authors consider their concept quite different from and unrelated to Burst. 
- Nxt community white paper
- Proofs of Space paper by Dziembowski, Faust, Kolmogorov and Pietrzak
- SpaceMint paper by Sunoo Park, Kwon, Fuchsbauer, Pietrzak et al.