Abstract: Methods, systems, and apparatus, including computer programs encoded on computer storage media, for establishing a proof of storage over a specified period of time.

Abstract: Methods, systems, and apparatus, including computer programs encoded on computer storage media, for establishing a proof of storage over a specified period of time.

Abstract: One method includes: (a) forwarding an input challenge to a prover at a start time, the input challenge having a time-stamp; (b) receiving a proof of storage responsive to the input challenge from the prover; (c) generating a new input challenge based on the proof of storage and forwarding the new input challenge to the prover; (d) repeating steps (b) and (c) resulting in a final proof; (e) receiving a proof result based on the final proof, the proof result having a time-stamp; (f) determining that the time between the start time time-stamp and the proof result time-stamp is less than a specified period of time; and (g) determining a winning prover from a plurality of candidate provers where a probability of a candidate prover being a winning prover is proportional to the candidate prover's assigned storage which is indicated at least in part by the candidate miner's proof result.

Abstract: Methods, systems, and apparatus, including computer programs encoded on computer storage media, for replication-related protocols for decentralized networks. One method includes: receiving, at a prover, a file to be stored; encoding the file to be stored using an encoding function to produce an encoded stored file wherein the time to encode using the encoding function takes at least a minimum encoding time; receiving a challenge at the prover; producing a proof at the prover in response to the challenge within a verify time period, wherein the proof is determined in part by decoding the encoded stored file and wherein the verify time period is less than the minimum encoding time; and taking an action (e.g., rewarding a storage miner/prover) in response to the proof.

Abstract: Methods, systems, and apparatus, including computer programs encoded on computer storage media, for establishing a proof of storage over a specified period of time. One of the methods includes: (a) receiving, at a prover, an input challenge at a start time; (b) producing a proof responsive to the input challenge, wherein the proof is based at least in part on a proof of storage; (c) generating a new input challenge based at least in part on the proof; (d) repeating steps (b)-(c) a number of times resulting in a final proof; (e) receiving a proof result based at least in part on the final proof from the prover within a specified period of time from the start time; and (f) forwarding, to the verifier, the proof result.

Abstract: A method of allocating an address to a mobile station operating in a wireless communication system is described in order to facilitate a communication link to a fixed communication system. The method is characterised by the steps of receiving (100) an address mapping inquiry from the fixed communication system; locating (102) a respective terminal identifier (58) of the mobile station in response to the supplied address mapping inquiry; and determining whether an address has been allocated for the mobile station. If an address has not been allocated to the mobile station, an address allocation request (112) is activated and an address corresponding to the respective terminal identifier (58) of the mobile station is allocated.