docs: update README with full DOI catalog, unified paper, SKM paper
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README.md
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- zero-sorry
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- e7
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- gates-normalization
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---
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#
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All Lean 4 results are kernel-verified: zero sorry, compiled under Lean 4.19.0 + Mathlib 4.19.0.
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###
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|------|-------------|
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| `mathlib5_full.pdf` | Full 10-layer Lean 5 architecture — 36 chapters |
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| `mathlib5_simple.pdf` | Simplified edition |
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| `mathlib5_zenodo.pdf` | Zenodo canonical release |
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##
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##
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- zero-sorry
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- e7
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- gates-normalization
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- quantum-compiler
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- jordan-spectral-transformer
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- sovereign-compute
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- worm-chain
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- attention-exhaustion
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- sovereign-stack
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pretty_name: SNAPKITTYWEST Research Papers
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size_categories:
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- n<1K
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---
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# SNAPKITTYWEST Research Papers
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**Ahmad Ali Parr · SnapKitty Collective · Bel Esprit D'Accord Irrevocable Trust**
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Original research in formal mathematics, sovereign AI architecture, and deterministic agent systems.
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Every claim is reproducible. All Lean 4 proofs compile with no `sorry`. The chain cannot be revised — only extended.
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> *"Tokens are coordinate charts. The simplex is the law. The '1' was always there — and so was the proof obligation."*
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---
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## Papers — Complete DOI Catalog
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| # | Title | DOI | Date |
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|---|-------|-----|------|
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| 1 | Attention Exhaustion Attacks | [10.5281/zenodo.20678420](https://doi.org/10.5281/zenodo.20678420) | June 2026 |
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| 2 | SNAPKITTYWEST Sovereign Compute Architecture | [10.5281/zenodo.21132094](https://doi.org/10.5281/zenodo.21132094) | July 2026 |
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| 3 | Resonance Block Trust Deeds | [10.5281/zenodo.21144425](https://doi.org/10.5281/zenodo.21144425) | July 2026 |
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| 4 | GKN: I₄ Quartic Invariant and E₇ Symmetry | [10.5281/zenodo.21268911](https://doi.org/10.5281/zenodo.21268911) | July 2026 |
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| 5 | The Gates Normalization Constraint & Meta-Inverted Sum | [10.5281/zenodo.21349277](https://doi.org/10.5281/zenodo.21349277) | July 2026 |
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| 6 | Attention Is All You Don't Need: NAND Decomposition | [10.5281/zenodo.21351461](https://doi.org/10.5281/zenodo.21351461) | July 2026 |
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| 7 | The Jordan Spectral Transformer | [10.5281/zenodo.21443609](https://doi.org/10.5281/zenodo.21443609) | July 2026 |
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| 8 | PAR-011: Jacobian Conjecture via Jordan Algebras | [10.5281/zenodo.21727363](https://doi.org/10.5281/zenodo.21727363) | July 2026 |
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| 9 | **The Sovereign Stack** (unified, 26pp) | [10.5281/zenodo.21816366](https://doi.org/10.5281/zenodo.21816366) | Aug 2026 |
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| 10 | Sovereign Monster Kernel (new) | *Zenodo pending* | Aug 2026 |
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---
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## The Sovereign Stack — Unified Paper
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**DOI: [10.5281/zenodo.21816366](https://doi.org/10.5281/zenodo.21816366)**
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26-page unified theory connecting all 9 papers into one architectural claim:
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> **Replace probability with proof.**
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Four movements:
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- **Attack**: Attention exhaustion achieves 0% detection across 10 frontier LLMs
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- **Geometry**: The normalization constraint is the manifold definition, not softmax behavior
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- **Algebra**: K_QLG = ω_SLA = target_QRA — proved in Lean 4, zero sorry, no mathlib
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- **Jurisdiction**: Proof-gated agent ticks produce a computational jurisdiction
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[Read PDF →](https://snapkittywest.github.io/hyperkitty/papers/sovereign-stack-unified.pdf)
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---
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## Sovereign Monster Kernel — New Paper
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**30 languages. 1 human. Formally verified end-to-end. No cloud. No vendor. No libc. No sorry.**
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16-page paper describing the complete vertically integrated compute stack:
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- Custom ARM64/x86-64 assembly entry point (no crt0, no libc)
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- Zero-dependency Fortran 2018 kernel: Blake3 + Ed25519 from scratch
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- Hand-written PTX 8.0 GPU kernels (flash attention + GEMM, RTX 4090)
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- C-- continuous batching scheduler with WORM hooks
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- MLIR fusion graph targeting 4 backends simultaneously
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- QATAAUM clean-room quantum compiler (9-level IR, 221 tests)
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- Sovereign Event Bus: Erlang + Ada SPARK + WASM SUBLEQ + Idris 2
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- Formal verification: Lean 4, Agda, Coq, HOL Light, Isabelle, Idris 2
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[Repository →](https://github.com/SNAPKITTYWEST/sov-kernel-monster)
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[Paper PDF →](https://github.com/SNAPKITTYWEST/sov-kernel-monster/blob/main/docs/papers/sovereign-monster-kernel.pdf)
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---
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## Key Results
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### Gates Normalization Constraint
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The probability simplex Δⁿ is the law. Softmax guarantees normalization — not semantic validity.
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The meta-inverted sum Λ(ℓ) = log Z is its Legendre dual.
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Proved in Lean 4, 12 theorems, zero sorry.
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### Tripartite Isomorphism
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Three independently motivated algebras are the same object:
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- Quadratic Ledger Geometry (QLG): unit integer sphere x²+y²+z²=1
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- Symbolic Ledger Algebra (SLA): balance axiom R(λ) = δ + ι = 0
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- Discrete Agent Routing Automata (QRA): H=0 nats routing tensor
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**K_QLG = ω_SLA = target_QRA** — proved in Lean 4, zero sorry, no mathlib.
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### Jordan Spectral Transformer
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Replaces softmax attention with Fibonacci-Banach contraction:
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T(ρ) = φ⁻¹·UρU† + φ⁻²·ρ, contraction rate φ⁻¹ ≈ 0.618
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Fixed point ρ* satisfies [U, ρ*] = 0 (PAR-011).
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### Attention Exhaustion
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Multi-substrate cognitive friction prompts defeat detection at **0% detection rate**
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across 10 frontier LLMs including Claude Sonnet 4, Llama 3.3-70B, Mistral-Large.
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---
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## ORCID
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[0009-0006-1916-5245](https://orcid.org/0009-0006-1916-5245)
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## License
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Sovereign Source License v2 · Bel Esprit D'Accord Irrevocable Trust · 2026
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