Reproducible builds are an important part of efforts to secure the software supply chain. Ideally you want multiple independent parties vouching that a given package (whether a compiled binary, or a source tarball) corresponds to a globally immutably published revision in a source code repository.
That gives you Binary Transparency, which is already being attempted in the Arch Linux package ecosystem[0], and it protects the user from compromised build environments and software updates that are targeted at a specific user or that occur without upstream's knowledge.
Once updates can be tied securely to version control tags, it is possible to add something like Crev[1] to allow distributed auditing of source code changes. That still leaves open the questions of who to trust for audits, and how to fund that auditing work, but it greatly mitigates other classes of attack.
That gives you Binary Transparency, which is already being attempted in the Arch Linux package ecosystem[0], and it protects the user from compromised build environments and software updates that are targeted at a specific user or that occur without upstream's knowledge.
Once updates can be tied securely to version control tags, it is possible to add something like Crev[1] to allow distributed auditing of source code changes. That still leaves open the questions of who to trust for audits, and how to fund that auditing work, but it greatly mitigates other classes of attack.
[0] https://github.com/kpcyrd/pacman-bintrans
[1] https://github.com/crev-dev/cargo-crev