Postgresql, PSN hack and table limits

Somebody is making a very specific claim that Postgres can support a
limited number of rows:

"INPS (a data forensics team) said that there is 7 main Databases all
hosted at different data centers but linked over a type of 'cloud' Each
database uses PostGRESSQL which would mean the most amount of data each
database could hold with no stability issues is aproximitely equal to
that of 10,348,439 Rows" http://pastebin.com/MtX1MDdh

Does anybody have any idea where they've got hold of this figure?

--
Mark Morgan Lloyd
markMLl .AT. telemetry.co .DOT. uk

[Opinions above are the author's, not those of his employers or colleagues]