physics.fluid.pipe_period

O2: pipe period T=2L/c vs a separate-module identity (≤2 ULP). Not Joukowsky Δp, not Korteweg–Hall c, not Darcy, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated pipe-period vectors. Not catalog K, not pipe-entrance geometry, not sudden expansion (v1−v2)², not Darcy, 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)

78372d4285071e4bd9214ffaeb9250ef411ca4f4ab11aea0385c348931b03dfb

Generator commitment (SHA-256)

6895736a4ac5798918a3b977fd4cb89e7d7645f9b3dd7f81e72a13dabb0d90bf

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.