physics.fluid.critical_depth

O2: yc=(q²/g)^{1/3} vs a separate-module identity (≤2 ULP). Not trapezoid critical depth, not alternate depth, not Manning, and not Q=Av alone. ≤2 ULP vs O3 applies only to the published tabulated critical-depth vectors. Not trapezoid yc, not Manning, and not alternate depth.

This summary records the outcome of the verification run. The full test corpus, oracle implementations, reference tables and generators are retained privately. Their digests identify those artifacts; a digest alone does not let a reader independently reproduce the full verification run.

Recorded result

8/8 passed

Oracle

O3 · mpmath 1.4.1

Reference table commitment (SHA-256)

4b40008740c68f2d01c0e38a801b7d34a0acaa1bde39d60030a16d867d68319c

Generator commitment (SHA-256)

e76a4753666aa05f27e3c90219a213bf818f07244e7f7ac4e0b875768a0d244b

Check a calculation

Use the capability's public input schema and examples to call the versioned REST API or MCP. These interfaces remain available without downloading the validation infrastructure. A successful example checks that example; it does not establish that the complete private suite has been independently reproduced.