04 · Geometry spaces · Paper
Spherical Space
00 ·

Spherical Space — methodology.

Register 04 · Geometry spaces · paper v0.1

Spherical Space is an ambient-mathematics primitive: the space where the spectral measurements live.

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Definition.

How the measurement engine binds it.

Spherical Space is an ambient-mathematics primitive: the space where the spectral measurements live.

The measurement engine binds Spherical Space as a measurable promise on the board: the obligation is graded, sealed, and recomputable. The graded result is what ships — never the implementation.

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Where it lives in the record.

How the measurement is filed.

Each measurement is filed per subject under the mark's own slug, carrying its graded value, a 95% confidence interval, and the pinned engine version. The shape is identical across all geometry atoms — an evidence check that handles one handles all of them.

03 ·

Cite.

Preprint + recompute root.

Behaviour-Space Spectral Geometry — Direct Variance Attribution and Bounded Attestation for Fine-Tuned Adapter Fleets. CC BY 4.0. Concept DOI: 10.5281/zenodo.20372606 (resolves to latest). v1: 10.5281/zenodo.20372607.

Reference root for the published reference record: cddd2b753dd3e651aef04f0980290df2b5a171f57c648696b4d24b80982d2af5.

Read the preprint Reference

API ·

When a regulator asks for proof, hand over records — not assurances.

record the duty · seal the receipt · verify offline

Planisphere records each duty event — an output marked, a disclosure shown, a review made — and seals it into a receipt that verifies offline against our published keys. You send hashes, never content. A record is evidence a third party can check; it is not a certification and not a legal determination.

See how a record is checked