Verifiable oracle

Betti

Topological shape — persistent homology · 14 tests · pay-per-call

What SHAPE does the data have? Builds a Vietoris-Rips filtration and reads off Betti numbers b0 (clusters), b1 (loops), b2 (voids) across scale, plus a bottleneck-distance drift alarm — structure no scalar summary can express.

Live demo ↗How to call ↗

Mathematics

Vietoris-Rips filtration · GF(2) persistence reduction · persistence barcode · bottleneck distance

Capabilities

IDPriceOutput
betti.homology@v1$0.008b0/b1/b2 + Betti curve + diagram
betti.distance@v1$0.004bottleneck drift between two diagrams