There is one distinct species,
Pethia gelius. If there is one or more varieties that have been selectively bred, I do not know, but these would not be distinct species. Many of our common aquarium fish have numerous varieties of one distinct species. The gourami
Trichopodus trichopterus for example has I don't know how many varieties such as the blue, gold, cosby, 3-spot, marble, and opaline, but these are all the same distinct species and thus share all of the distinct biological features that make them this species.
Common names should frankly not be relied upon since it is only adding confusion because the common name really only means what it means to the individual using it, not necessarily anyone else.
Pethia gelius has gone through some reclassification since it was first described as
Cyprinus gelius by Hamilton in 1822 in this publication:
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It was moved into the genus
Puntius by Rahman in 1989, where it remained until Pethiyagoda et al (2012) placed it in
Pethia in their synopsis of the species then considered in
Puntius.
Subsequent studies have accepted this taxonomy without question.