Which single, original, standalone jain text, that is not a part of a larger work, is primarily dedicated to the concept of siddha and offers the most thorough elaboration of the concept of all times and world wide?
If you want a single, standalone, original Jain text that is primarily devoted to the Siddha-tattva, the best fit is:
_Siddha-prābhṛta_ (also known as _Siddha Pāhuḍa_) by Ācārya Kundakunda.
It is a classic independent Jain treatise focused on the nature, qualities, and pure liberated state of the Siddha soul. Among standalone Jain works, it is one of the most direct and foundational texts on this subject.
That said, the claim that it is the “most thorough of all time and worldwide” is not something Jain tradition universally states in that exact way. But for a standalone text primarily dedicated to Siddha, _Siddha-prābhṛta_ is the strongest answer.