Four offerings. One substrate. Math published. Methodology auditable. Live in production today.
The substrate is a 92,160-component rank-4 character-graded operator algebra over the prime hyper-radix. Lead DOI 10.5281/zenodo.19744573, with companion preprints 19442006, 19478727, 19243258. These offerings render its scalar projections — closed-form, not Monte Carlo.
We name the cataloged objects degrading your slot today, ranked by L_signed = ρ·σ_mag. We name the safe harbors where moving improves it. Top-5 each, scoped to your operational shell. Intervention oracle, not a scoring report.
Static decay predictors are incomplete. The atmosphere varies 3× across the solar cycle; your asset lives through both ends. P10/P50/P90 envelope replayed against 95 years of geomagnetic archive. Atmospheric reliability budgeting — beyond single-number compliance certification.
The substrate catalog is the instrument. β_rel(h) storm-response coefficients per altitude shell, regressed across 159-day cross-object windows. SWADI density index from on-orbit dh/dt residuals, substrate-weighted to isolate clean atmospheric line-integrators from cascade-coupled noise. Two observables, one subscription, daily refresh.
We name the rocket bodies coupled to your fleet — and we apply the geometric tumbling-state correction the catalog doesn't carry. Pc screening can't see this; kinematic distance is the wrong axis. Closed-form algebra over the substrate's character-graded leverage map, with a multiplicative correction for objects in chaotic-tumble sectors. Named-pathway detail flows through engagement; aggregate findings and the methodology derivation publish openly in the audit charter.
The substrate is a 92,160-component rank-4 character-graded operator algebra over the prime hyper-radix. Methodology source artifacts: ten Zenodo preprints deposited 2026-03-17 through 2026-04-24 plus three USPTO provisional patents. Lead DOI: 10.5281/zenodo.19744573 — Character-Theoretic Effective Rank.
The full audit trail — substrate construction, slot semantics, flare-response calibration, disposal calibration, and live operational claims — is public at audit.fancyland.net. Every observable above traces to a numbered claim with a snapshot SHA and an audit result.
Engagements are direct. No tier. No menu.
Email with the offering you want sampled for your fleet, your portfolio, or your jurisdiction. A real audit JSON for a real intervention lands in your inbox within one day.
Subscription products (LARS) deliver daily refreshes against the latest snapshot; per-engagement deliverables (Slot, MTBOF, Coupling Pathway) turn around within one day of the brief.