# C307 author review

Question: Which joint equalities are dependent, and what additional constraint would an exact600 comparison impose?

Conclusion: The joint interface has rank4 in five centers;598 is dependent, while600 forces a non-admitted half-integer solution.

The exact results were inspected against the source register and independently expressed domain identities in the checker. The second run verifies deterministic reproduction, not independent scientific review. No new agent review is claimed.

Limits:

- Rank is local to this typed interface, not a new full-graph rank.
- The conditional affine model does not establish historical necessity.
- Context and phase operations are not interchangeable.

The report and checkpoint are authored interpretations. The verifier authenticates the supplied inputs and calculations; it does not prove historical intentionality. Original dependencies and all standing controls remain unchanged.