Concordance Engine
What the engine can and cannot verify

Gaps.

The engine confirms only what closes from math against constants of truth. Authority lookups don't count. If the math doesn't run, the claim doesn't go on the site. This page is the operational expression of that principle: what we can verify lives in the verifier catalog; what we can't yet lives here, with the math chain each gap would need.

Open gaps
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Declined
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Total entries
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Open — math chain identified, build pending

Each of these is a kind of claim the engine cannot yet confirm. The math chain that would close the gap is named. When implemented, the engine will be able to verify claims of this shape.
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Declined — no math chain exists

These are kinds of claims the engine has deliberately decided not to verify, because the question itself reduces to authority (political, legal, editorial) rather than math. The engine returns the question to the asker rather than pretending to confirm.
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This list grows in two ways. Manually when the operator sees a gap worth flagging. And operationally — when a visitor submits a claim the engine can't verify, the operator reviews the misalignment in the Console and promotes it here with the math chain it would need. The engine learns where to grow from where it actually failed. See the oracle-dependence scoreboard for how fast it is learning to answer without the model.