Snapkitty Sovereign Router
Ahmad Ali Parr · SNAPKITTYWEST · Bel Esprit D'Accord Irrevocable Trust
ORCID: 0009-0006-1916-5245 DOI: 10.5281/zenodo.21132094
What This Is
A deterministic agent routing system where every routing decision is:
- Algebraically grounded (QRA tensor, H=0 nats)
- Formally verified (Lean 4, zero sorry)
- Cryptographically sealed (Blake3 + Ed25519 WORM chain)
- Proof-gated (V(ℓᵢ)=1 required before output propagates)
The routing decision is a theorem, not a probability.
The Unified Theory
All routing mathematics is documented in the unified paper:
The Sovereign Stack · DOI: 10.5281/zenodo.21816366
26 pages. 9 prior papers synthesized. 10 novelty claims. All Lean 4 proofs compile with no sorry.
The Tripartite Isomorphism
Three routing representations are formally proved identical:
K_QLG = ω_SLA = target_QRA
- QLG: six integer solutions to x²+y²+z²=1 = six routing primitives
- SLA: balance axiom R(λ) = δ + ι = 0 (double-entry ledger)
- QRA: 6×6 routing tensor, H=0 nats conditional entropy
Proved in Lean 4. Zero sorry. No mathlib.
Routing Entropy
Current system entropy: E = 0.0924 (threshold: 0.21)
The H ≤ 0.20 nats bound is formally justified: the K3 algebraic surface has Hodge entropy 0.831 > 0.20 and is formally rejected by the constraint DSL (proved in HOL Light).
Paper DOI Catalog
| Paper | DOI |
|---|---|
| The Sovereign Stack (unified) | 10.5281/zenodo.21816366 |
| Gates Normalization Constraint | 10.5281/zenodo.21349277 |
| Jordan Spectral Transformer | 10.5281/zenodo.21443609 |
| PAR-011 Jacobian via Jordan | 10.5281/zenodo.21727363 |
| NAND Decomposition | 10.5281/zenodo.21351461 |
| Attention Exhaustion Attacks | 10.5281/zenodo.20678420 |
| Sovereign Monster Kernel | Zenodo pending |