physics.fluid.pipe_entrance

O2: geometric pipe inlet K vs a separate-module identity (≤2 ULP). Not catalog K, not circular-arc R/D, not mitered n, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated pipe-entrance vectors. Not catalog K, not circular-arc R/D, not mitered n, 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)

a1a8cad047e13b839a6ae9a8587e4e459d6f80ccaa400c1862cb04c6343fb0e2

Generator commitment (SHA-256)

055152a62b8660474c714dd2d10f54d26ae9390f97501e19e37f70c100b403fd

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.