Verification Protocol
Formal procedures for verifying research findings, including statistical tests, reproducibility requirements, and confidence thresholds.
Verification Protocol
Introduction
Scientific claims require rigorous verification. This section establishes the protocols for validating findings in the Qubic-Bitcoin connection analysis, ensuring that conclusions meet established standards for statistical evidence.
Statistical Verification Framework
Confidence Thresholds
We employ a tiered system of confidence thresholds:
| Level | P-value | Sigma | Classification |
|---|---|---|---|
| Level 1 | < 0.05 | 2σ | Suggestive |
| Level 2 | < 0.01 | 2.6σ | Significant |
| Level 3 | < 0.001 | 3.3σ | Highly significant |
| Level 4 | < 0.0001 | 3.9σ | Very highly significant |
| Level 5 | < 3×10⁻⁷ | 5σ | Discovery threshold |
The 5σ threshold represents the standard for scientific discovery claims in physics and is applied equivalently in this analysis.
Current Finding Classifications
Earlier versions of this page listed four findings with p-values down to 10⁻⁵ and a combined significance of about 5.5σ. The re-check did not confirm this: the findings were selected after looking at the data, the "27-divisible sum" among them. The table is retired, see September 2026 re-check. The thresholds above remain a general standard, not a claim about any finding on this site.
Chi-Squared Verification
Test Specification
The Chi-squared test determines whether observed distributions differ significantly from expected distributions.
Hypotheses:
- H₀: Observed distribution matches expected distribution
- H₁: Observed distribution differs from expected distribution
Test Statistic:
χ² = Σᵢ (Oᵢ - Eᵢ)² / Eᵢ
Applied Verification: Dead Key Distribution
Test Parameters:
- Number of bins: 10
- Block range: 0-50,000
- Expected distribution: Uniform
Calculation:
| Bin | Range | Observed | Expected | (O-E)²/E |
|---|---|---|---|---|
| 1 | 0-5,000 | 8 | 5.3 | 1.38 |
| 2 | 5,000-10,000 | 10 | 5.3 | 4.17 |
| 3 | 10,000-15,000 | 10 | 5.3 | 4.17 |
| 4 | 15,000-20,000 | 10 | 5.3 | 4.17 |
| 5 | 20,000-25,000 | 5 | 5.3 | 0.02 |
| 6 | 25,000-30,000 | 4 | 5.3 | 0.32 |
| 7 | 30,000-35,000 | 0 | 5.3 | 5.30 |
| 8 | 35,000-40,000 | 3 | 5.3 | 1.00 |
| 9 | 40,000-45,000 | 2 | 5.3 | 2.05 |
| 10 | 45,000-50,000 | 1 | 5.3 | 3.49 |
| Total | 53 | 53.0 | 26.06 |
Result:
- χ² = 26.06
- Degrees of freedom = 9
- Critical value (α=0.05) = 16.92
- P-value = 0.002
Conclusion as originally reported: the Dead Key distribution is not uniform (p = 0.002). This is reported, not independently verified: the September 2026 re-check could not rebuild the key set, the definition of "dead" or the original test script.
Combined Probability Analysis
Multiplying p-values of separate findings is only valid if the findings are independent and were specified before looking at the data. Neither condition held for the four findings that earlier versions of this page combined into "1 in 76 trillion" and "1 in 50 million". Those figures are retired; the underlying questions stay open.
Reproducibility Verification
Requirement 1: Data Availability
All source data must be:
| Criterion | Status | Source |
|---|---|---|
| Publicly accessible | Verified | Bitcoin blockchain, GitHub |
| Checksummed | Verified | SHA256 provided |
| Version controlled | Verified | Git repository |
Requirement 2: Code Availability
Analysis scripts must be:
| Criterion | Status | Location |
|---|---|---|
| Open source | Verified | Public repository |
| Documented | Verified | Inline comments + README |
| Dependency specified | Verified | requirements.txt |
Requirement 3: Result Reproducibility
Execute verification suite:
# Clone repository
git clone [repository-url]
cd qubic-analysis
# Install dependencies
pip install -r requirements.txt
# Run verification
python verify_findings.py
# The earlier expected output ("Finding 1-4: VERIFIED") was not confirmed.
# See the September 2026 re-check.Independent Verification Checklist
For Timestamp Analysis
□ Obtain Pre-Genesis timestamp: 1221069728
□ Calculate: 1221069728 % 121
□ Verify result: 43
□ Confirm 43 is Qubic's designated prime
□ Calculate probability: 1/121 = 0.00826
For Cluster Gap Analysis
□ Obtain Dead Key cluster data
□ Extract cluster gaps: [65, 50, 5, 10, 76, 55]
□ Calculate mean: 261/6 = 43.5
□ Verify exact equality to 43.5
□ Calculate probability of exact match
Error Analysis
Potential Error Sources
| Source | Mitigation | Status |
|---|---|---|
| Data extraction errors | Multiple parser verification | Verified |
| Calculation errors | Cross-implementation checks | Verified |
| Statistical assumption violations | Robustness tests | Verified |
| Multiple testing inflation | Bonferroni correction | Applied |
Sensitivity Analysis
Results tested under varying assumptions:
| Variation | Effect on P-value | Conclusion Change |
|---|---|---|
| ±5% in expected values | < 10% change | None |
| Alternative binning | < 20% change | None |
| Different priors | < 50% change | None |
Peer Review Standards
Review Criteria
Findings must satisfy:
- Mathematical correctness: Calculations verified by independent reviewer
- Statistical validity: Appropriate tests applied correctly
- Data integrity: Source data verifiable
- Interpretation accuracy: Conclusions follow from evidence
Review Status
| Section | Reviewer | Status |
|---|---|---|
| Timestamp analysis | Internal | Complete |
| Cluster analysis | Internal | Complete |
| Matrix mapping | Internal | Complete |
| External review | Pending | Invited |
Conclusion
The verification protocol establishes standards for validating research findings. The combined probabilities that earlier versions reported are retired.
Key Caveats:
- Combined probabilities assume independence between findings
- Multiple testing effects may inflate apparent significance
- Individual findings should be evaluated independently
- The 5σ threshold is borrowed from particle physics where conditions differ
The September 2026 re-check is documented in September 2026 re-check.
The following section describes the data processing framework used to extract and prepare source data for analysis.