PROOF_CERTIFICATE.md

# Pipeline Proof Certificate

**Company:** Locked In Safety STL Inc  
**Support:** donte@biolockmd.net  
**Product:** Locked In Safety STL Inc Gateway  
**Generated (UTC):** 2026-08-05T18:31:37Z  
**Pipeline stable:** **YES**

Machine-generated from the local Symbolic Recursive Engine pipeline.  
**Not** a third-party audit, **not** FDA/medical clearance, **not** financial advice.

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## Executive summary

| Layer | Result |
|-------|--------|
| Automated tests (`pytest`) | **56 passed / 0 failed** |
| DBITS proof suite | **6/6 PASS** |
| Amyloid β-42 integrity + run | **PASS** (10/10 hashes, energy+TVD match) |
| Intent-encoded Algorithms 1–10 | **OK** (suite_score ≈ 0.609) |
| Constants | μ = **0.16905** · D₀ = **149.9992314** |

**Verdict:** pipeline reports **stable** under the current certificate harness.

---

## 1. DBITS stability proofs (6/6 PASS)

| Proof | Status | Key metrics |
|-------|--------|-------------|
| Jacobian spectral radius / stability box | **PASS** | 729/729 grid inside box; max ρ_inside ≈ 0.941; min ρ_inside = 0.6 |
| Lyapunov V contraction | **PASS** | ρ ≈ 0.822; V_final ≈ 6.7e−35; monotone nonincreasing |
| Gate family Lyapunov / contraction (F1–F10) | **PASS** | all gate families certified under harness |
| Continuous PL Lyapunov | **PASS** | design_ok; frac_late_dV_nonpositive = 1.0; V_final ≈ 0.059 |
| Primal-Heisenberg C_PL positivity & bounds | **PASS** | C_PL ≈ 3.16; positive; bounded; Markov limit small |
| Multi-dbit scale N=64 | **PASS** | E_final ≈ 5.2e−39; decay_ratio ≪ 1; in_box = true |

**Interpretation:** discrete PL kernels remain inside the spectral-radius stability box; Lyapunov energy contracts; gate families contract; continuous PL / C_PL / multi-agent scale certificates pass under the paper test harness.

**Claim boundary:** engineered non-Markovian memory + Lyapunov control. **Not** a claim of new fundamental quantum laws.

---

## 2. Amyloid beta-42 package (reproducibility)

| Check | Result |
|-------|--------|
| SHA-256 core artifacts | **10/10 match** (`all_core_match=true`) |
| Run status | **OK** |
| Energy vs analysis summary | **match** (E ≈ −0.220822) |
| TVD (bit-reversed samples vs statevector) | **match** (TVD ≈ 0.02884) |
| Circuit | **674 moments** · SHA-256 `623e87ec870bddd0…09a5137` |
| Spectrum | min ≈ −2.1907 · max ≈ 1.0606 · ground ≈ −2.1907 |

**Claim boundary:** 4-qubit / 4-site **truncated prototype** — not full biological/clinical Aβ42.

---

## 3. Intent-encoded Algorithms 1–10

| Check | Result |
|-------|--------|
| Status | **OK** |
| Suite score | ≈ **0.609** |
| Algorithms executed | **10** |
| Top intent axis (sample run) | control / secure-modulated runs OK |

**Claim boundary:** engineering prototypes of draft Algorithms 1–10 — not a granted patent; not production crypto; not financial advice.

---

## 4. Public reproducibility

- GitHub: https://github.com/STLNFTART/symbolic-recursion-coherence  
- HF stack: https://huggingface.co/dontelightfoot/symbolic-recursion-coherence  
- HF Amyloid: https://huggingface.co/dontelightfoot/amyloid-beta-42-quantum-prototype  
- Portal: https://huggingface.co/spaces/dontelightfoot/symbolic-recursive-engine  

Machine JSON twin: `PROOF_CERTIFICATE.json`

Reproduce locally:

```bash
cd symbolic-recursion-coherence
python -m pytest tests/ -q
python -c "from symbolic_recursion.dbits import run_all_proofs; print(run_all_proofs()['overall'])"
python -c "from symbolic_recursion.models.amyloid_beta import AmyloidBeta42Model, verify_package_integrity; print(verify_package_integrity()['all_core_match'], AmyloidBeta42Model().run()['status'])"
```

---

## 5. Commercial packaging (Stripe draft · Marketplace HOLD)

| Field | Value |
|-------|--------|
| Seller | Locked In Safety STL Inc |
| Support | donte@biolockmd.net |
| Billing | Stripe (ready) |
| Cloud Marketplace | **HOLD** until billing account + API keys provided |

| Tier | USD / mo | Notes |
|------|----------|--------|
| Explorer | $0 | 100 calls/day sandbox |
| Operator | **$149** | 10k calls/day + email support |
| Fleet | **$499** | 100k calls/day + priority support |
| Enterprise | Custom | Private deploy / SSO / later Marketplace |

Overage draft: **$0.002** per extra verification call (Operator).

---

## 6. Claim boundary (travels with every public post)

1. Engineered non-Markovian memory + Lyapunov control certificates (DBITS)  
2. Not new fundamental QM laws  
3. Amyloid is 4-qubit truncated prototype — not clinical  
4. Intent suite is engineering prototype — not granted patent / not production crypto  
5. Verification agent is heuristic assist — not absolute truth oracle  
6. Gateway is decision-support tooling — not medical diagnosis  

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*Locked In Safety STL Inc · donte@biolockmd.net*