Methods for extending a proof-of-space-time blockchain

A method for generating a plot file comprising:

• accessing a series of initial entries;
• generating, via a pseudorandom function, a first series of entries in a first table in a series of tables, each entry in the first series of entries corresponding to an entry in the series of initial entries;
• for each table in the series of tables:
• identifying a set of matching pairs of entries in the table based on a matching condition;
• and
• for each matching pair of entries in the set of matching pairs of entries, executing a cryptographic hash function on the matching pair of entries to generate a forward-propagated entry in a subsequent table in the series of tables;
• and
• storing a plot file comprising:
• the series of tables;
• and
• a final table comprising a series of final entries comprising forward-propagated entries from a prior table in the series of tables.

A method for generating a proof-of-space comprising:

• accessing a series of initial entries;
• generating a first series of entries in a first table in a series of tables, each entry in the first series of entries corresponding to an entry in the series of initial entries;
• for each table in the series of tables:
• identifying a set of matching pairs of entries in the table based on a matching condition;
• and
• for each matching pair of entries in the set of matching pairs of entries, generating a forward-propagated entry in a subsequent table in the series of tables based on the matching pair of entries;
• storing a plot file comprising:
• the series of tables;
• and
• a final table comprising a series of final entries comprising forward-propagated entries from a prior table in the series of tables;
• accessing a proof-of-space challenge;
• and
• generating a proof-of-space based on the proof-of-space challenge and the plot file.