FA-13440 / Numerical aggregation / Member archive

Empirical transport distance: Squared CDF difference replaces absolute discrepancy. · case 05

The reduction disagrees with its explicit aggregation oracle.

Member previewVariant 5 · 3 implementations · 8 checks per implementation

Case contract

For nonempty integer samples with equal total probability after separate normalization, return integral of absolute CDF difference over the real line as a Fraction string. Empty either side returns None.

Why this case matters

Exact bounded examples isolate a reduction defect without floating-point or external-service effects.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression 1	`"13/12"`	`"17/6"`	Failed

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This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

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