In darcs/pijul, the state of the repository is a *set* of order-independent changes/patches. I don't know about darcs, but pijul even uses clever homographic hashing so that the commit hash after applying patches A, B, and C (in that order) is the same as if you did C -> A -> B, or any other permutation.
In Linux kernel dev, for example, developers think of a particular build as "upstream 6.13.2 with zfs and realtime patchsets applied" but in reality in any given instance it is actually "6.13.2 -> zfs -> realtime" or "6.13.2 -> realtime -> zfs" depending on which order you cherry-pick/rebase the patches. Both have different git hashes and are properly speaking different things. In pijul it would be "6.13.2 + zfs + realtime" and the order doesn't matter.
A Darcs patch is somewhat like a diff, in that most patches will describe a sequence of text to be removed and added from specific points in each file.
But: Darcs patches add:
- The ability to work out precisely how to apply the same patch in a different context in a reproducible way (or to refuse to do so if it can't do it safely) - More "semantic" kinds of change such as replacing all occurrences of a token in a file, or renaming a file. In both cases this will merge cleanly and reproducibly with other changes to the same file.
Most VCSes including git have some level of complicated algorithms behind them. Darcs does have significant weaknesses when it comes to handling conflicts but the core logic of figuring out how to apply changes to files has been pretty solid for its entire existence.
The difference is in which is the primary source of truth, and which is calculated when required (and then thrown away).
This may seem trivial, but the darcs/pijul approach permits an entirely different, more distributed/decentralized development model.
Ironically a model better suited to kernel development.