What a fingerprint is for
A cryptographic digest is a fixed-size fingerprint computed from a file's bytes. SHA-256 turns any input — a 4 KB config or a 40 GB tensor shard — into 64 hexadecimal characters. The property that matters is avalanche: change one bit anywhere in the input and the digest changes completely, unpredictably, in a way that cannot be engineered backward. Two files with the same SHA-256 are, for every practical purpose in this quest, the same bytes.
That gives you a contract you can store in one line. The artifact itself may be enormous; the proof of its identity is 64 characters. Copy the proof into a notebook, an email, a database, a sticky note — it travels anywhere and weighs nothing. This asymmetry is the entire economics of archival verification: proof-of-identity at negligible storage cost.
What the contract does and does not say
The digest answers exactly one question: are these bytes the bytes this digest was computed over? It says nothing about safety (malicious files have stable digests too), nothing about quality, and — critically — nothing about authenticity by itself. A digest only anchors a comparison. The reference side of the comparison has to come from somewhere you trust: the hub's published LFS digest for the file, the maker's release notes, an independent mirror's records. Integrity binds your copy to a reference; provenance decides whether the reference deserves trust. The two work as a pair, and neither substitutes for the other.
This is why the four conditions of ownership (track one) listed them separately. Digest verified is the condition you can check with a command; maker verified is the condition you check with the review desk from track three.
The two-command habit
The practical skill is embarrassingly small: compute and compare. Make it a reflex attached to two moments — at acquisition (compute as soon as the transfer finishes, before anything else distracts you) and at rest (periodically, or after any storage migration, recompute and compare against the recorded line). The habit costs seconds per file and converts every future "is this still the right file?" from archaeology into arithmetic.