SilverSight/VERIFICATION_LOG.md

VERIFICATION LOG

3-Agent Consensus Required. No exceptions.

Rule: Every formula must be computed independently by 3 agents. All 3 must agree on every intermediate term and the final result to 6 decimal places. If any agent disagrees, STOP. Investigate. Do not proceed until agreement is reached.

Method: Each agent receives the same formula and inputs but computes independently. No agent sees another's work. The orchestrator compares results.

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VERIFICATION 001: Fisher Distance d_F(p,q)

Formula: d_F(p,q) = 2 · arccos( Σᵢ₌₁⁸ √(pᵢqᵢ) )

Inputs:

• p = (0.3, 0.1, 0.15, 0.05, 0.2, 0.08, 0.07, 0.05)
• q = (0.2, 0.2, 0.1, 0.1, 0.15, 0.1, 0.1, 0.05)

Input validation:

• sum(p) = 1.0 ✓ (all 3 agents confirmed)
• sum(q) = 1.0 ✓ (all 3 agents confirmed)
• pᵢ > 0, qᵢ > 0 for all i ✓

Intermediate terms √(pᵢqᵢ):

i	pᵢ	qᵢ	pᵢqᵢ	√(pᵢqᵢ)	Alpha	Beta	Gamma
1	0.30	0.20	0.0600	0.24494897	✓	✓	✓
2	0.10	0.20	0.0200	0.14142136	✓	✓	✓
3	0.15	0.10	0.0150	0.12247449	✓	✓	✓
4	0.05	0.10	0.0050	0.07071068	✓	✓	✓
5	0.20	0.15	0.0300	0.17320508	✓	✓	✓
6	0.08	0.10	0.0080	0.08944272	✓	✓	✓
7	0.07	0.10	0.0070	0.08366600	✓	✓	✓
8	0.05	0.05	0.0025	0.05000000	✓	✓	✓

Sum S:

Agent	S	Match?
Alpha	0.97586930	✓
Beta	0.97586930	✓
Gamma	0.97586930	✓

Final result d_F:

Agent	d_F	Match?
Alpha	0.44025792	✓
Beta	0.44025792	✓
Gamma	0.44025792	✓

To 6 decimal places: d_F(p,q) = 0.440258

VERDICT: ✅ ALL 3 AGENTS AGREE — VERIFIED

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VERIFICATION PROTOCOL TEMPLATE

Before verification:

1. State the exact formula
2. List all inputs with values
3. Verify inputs are valid (sums, signs, bounds)

During verification:

1. 3 agents compute independently
2. Each agent shows all intermediate steps
3. Each agent reports to 6 decimal places minimum
4. No agent sees another's work until all complete

After verification:

1. Compare all intermediate terms
2. Compare final results
3. If all agree to 6 decimal places: ✅ VERIFIED — log and proceed
4. If any disagree: ❌ STOP — investigate, find error, recompute
5. Log the result in this file

Required fields for each log entry:

VERIFICATION [number]: [formula name]
Formula: [exact formula]
Inputs: [all values]
Input validation: [checks performed]
Intermediate table: [each term, all 3 agents]
Final result table: [each agent's result]
Agreement: [YES/NO]
Verified value: [consensus number]
Status: [VERIFIED / REJECTED / PENDING]

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STATUS BOARD

#	Formula	Status	Consensus Value	Date
001	Fisher distance d_F(p,q)	✅ VERIFIED	0.440258	2026-06-23
002	√p embedding ‖φ(p)‖₂	⬜ PENDING	—	—
003	Pair-averaging map C(p)	⬜ PENDING	—	—
004	Eigensolid idempotence C(C(p))	⬜ PENDING	—	—
005	Contraction d_F(C(p),C(q))	⬜ PENDING	—	—
006	Φ-corkscrew f(n) for test n	⬜ PENDING	—	—
007	Parse-tree τ("a+b=c")	⬜ PENDING	—	—
008	Product distance d_F((p,τ₁),(q,τ₂))	⬜ PENDING	—	—
009	Information loss I_loss(p)	⬜ PENDING	—	—
010	Spiral index n(q) for test q	⬜ PENDING	—	—

Rule: Status PENDING → 3-agent verification → VERIFIED or REJECTED. No formula moves from PENDING to VERIFIED without all 3 agents agreeing.