Three Day.js and math.js issues — registered instrumentation

Registered before these solver and review calls. Three additional open issues, their complete discussion snapshots, fixed checks and randomized paired order are bound in the manifest, SHA-256 090aa8016f6bf4bd55d0c1f468b733b4b3e799aa9fa3b72bc8671218304a9cdc. They were selected after earlier outcomes and share repositories with other batches; these observations are not a single pre-registered or statistically independent 30–50-task cohort.

Issue	Frozen acceptance	Source-only reference
Day.js #3062	Uzbek locale week numbering for 2020-12-31 and 2021-01-01 is 53; controls include English and a midyear Uzbek date.	Closed, unmerged PR #3100, which also addresses related issues
math.js #3528	A nested derivative of x * derivative("e^x", "x") evaluates to the expected value at two inputs; controls cover ordinary derivatives.	PR #3715
math.js #3563	Two sums of pure percentages evaluate as sums of fractions; controls cover modulus and relative percentage addition.	PR #3573

The qualification ledger records that the public and acceptance checks fail on the baseline and pass on the source-only references, while controls pass on both. Candidate checks were developed and revised before registration; the Day.js control was adjusted during qualification after initially testing another affected boundary. The frozen checks are partial, not full upstream tests or maintainer acceptance. Public issue discussions and proposed patches can disclose solutions or appear in model training.

The pinned VM, source/runtime, randomized paired conditions, bounded tools, rubric, model budgets and logged 503-only retries follow the previous registration. No timeout is retried. The estimated model-call target is below $2, not a hard cap. All AI model names share a proxy with unverified provenance. Short seeded issue discussion is not a real long-running production session, and no production effectiveness, savings or autonomous-memory conclusion follows.