physics.fluid.hazen_williams

O2: SI Hazen–Williams vs a separate-module identity (≤2 ULP). Not Darcy, not Colebrook, not Manning, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated Hazen–Williams vectors. Not Darcy, not Colebrook, not Manning, and not Q=Av.

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)

befb28e84c37fbfb0c556a1869dc3f489a280f701674c4b51eafac5f591ae283

Generator commitment (SHA-256)

df759077ab9f449f9b837ddbe7e5ce2ffcf528d2888cb6b9a74eafed6ce44055

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.