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Math-CVD Standard v1.1

Mathematical Vulnerability Disclosure & Epistemic Audit Registry

A formal open standard for discovering, documenting, and cataloging mathematical flaws, boundary violations, and algebraic defects in preprints, published literature, and algorithmic software.

01How to Submit a Mathematical Finding

The 3-stage candidate disclosure workflow for researchers, theorem provers, and autonomous AI agents.

STEP 1

Discover & Reproduce

Identify the exact deductive break in the target manuscript. Write a minimal SymPy, Python, or Lean 4 counterexample asserting that the residual error term does not vanish:

$$\delta = \text{True Form} - \text{Claimed Form} \neq 0$$
Asserts concrete algebraic violation
STEP 2

Fill Candidate Template

Format your finding using the standardized Math-CVD Markdown template or equip your AI assistant with our official math-cve-reporter skill.

  • Mathematical coordinates (Sec, Eq)
  • Verbatim claim quotation
  • SymPy reproducer script
Zero ambiguity & reproducible
STEP 3

Email Your Report

Send your completed .md report and optional reproducer code directly to our triage mailbox:

👉 submit@mathcve.org
5-pass automated sandbox execution

02AI Skill Downloads & Agent Prompts

Equip your autonomous AI coding assistants and theorem provers with the official skill package and operational prompt.

STANDALONE SKILL BUNDLEv1.1.0

math-cve-reporter Skill Package

Complete offline skill archive containing the full SKILL.md specification, schema validation script (validate_cvd_candidate.py), machine-readable YAML signature templates, and sample disclosure dossiers.

Package Contents
✓ SKILL.md (Core Instructions)
✓ scripts/validate_cvd_candidate.py
✓ templates/math_cvd_candidate_template.md
✓ templates/signature_template.yaml
✓ examples/ (Curated Sample Dossiers)
Quick Prompt for LLMs & AI Agents

Copy and paste directly into ChatGPT, Claude, Gemini, or Antigravity to instruct the AI to audit manuscripts according to the Math-CVD standard:

You are an expert mathematical vulnerability auditor. Please analyze the following mathematical claim/paper against foundational theorems (e.g. Leibniz rule, Chinese Remainder Theorem, CORDIC scaling, shape calculus). 
Format any discovered flaws as a formal Math-CVD Candidate Record using the Math-CVD v1.1 standard, including:
1. Exact mathematical coordinates (Section, Theorem, Eq)
2. Paper version and affected version intervals
3. Verbatim affected claim
4. Step-by-step flaw derivation
5. Discrepancy formula showing non-zero residual (delta != 0)
6. Executable Python/SymPy counterexample script
7. Corrected remediation formula
Submit the generated dossier to submit@mathcve.org.
Compatible with OpenAI, Anthropic, Gemini, DeepSeek, & Open-Source LLMs

03Standard Candidate Reporting Template

The canonical Markdown structure required for Math-CVD candidate records.

math_cvd_candidate_template.md
Markdown + SymPy Reproducer
# Math-CVD Candidate Report: [Title of Mathematical Flaw]

**Candidate Tracking ID**: `[Your Reference, e.g. MATH-CAND-2026-0001 or SUBMISSION-01]`  
**Target Manuscript**: "[Full Paper Title]"  
**Authors**: [Author Names / Anonymous]  
**Year**: [YYYY] | **Paper Version**: `v1` (Affected: `['v1']`, Fixed In: `Unpatched` / `v2`)  
**arXiv ID**: `arXiv:[ID]v[N]` | **DOI**: `10.[XXXX]/[YYYY]`  
**Paper SHA-256**: `[64-character lowercase hex hash of evaluated file]`  
**Primary MSC2020**: `[XXYZZ]`  
**Weakness Archetype**: [Descriptive Archetype Name, e.g. Unchecked Predecessor Cancellation]  
**Governing Theorem**: [Violated Mathematical Law, e.g. Fundamental Theorem of Algebra]  
**Epistemic Verdict**: `IMPOSSIBLE` | `CODE_FLAGGED` | `UNDECIDABLE` | `UNKNOWABLE`  
**Mathematical Coordinate**: `Section X.Y`, `Theorem/Lemma N`, `Equation (M)`  

---

### 1. Affected Claim (Verbatim)
> "[Exact verbatim quote of the erroneous claim or formula from target paper]"

---

### 2. Technical Flaw Analysis
[Step-by-step rigorous breakdown explaining where the deductive logic breaks down.]

---

### 3. Discrepancy Formula & Residual (δ)
- **Author's Step**:
  \[
  \text{[Author's Flawed Equation]}
  \]
- **True Mathematical Form**:
  \[
  \text{[Rigorous Equation under Governing Theorem]}
  \]
- **Dropped Residual (δ)**:
  \[
  \delta = \text{[True Form]} - \text{[Author's Form]} \neq 0
  \]

---

### 4. Executable Reproducer & Counterexample (SymPy / Python)
```python
import sympy as sp

def verify_discrepancy():
    x = sp.Symbol('x')
    true_val = x**2 - 1
    claimed_val = x + 1
    residual = sp.simplify(true_val - claimed_val)
    assert residual != 0, "Residual must be non-zero"
    return True

if __name__ == "__main__":
    verify_discrepancy()
    print("Verification passed: Discrepancy confirmed.")
```

---

### 5. Remediation Patch
[Provide the mathematically sound formula restoring deductive validity.]
📬

Email Submission Guidance & Triage Processing

All candidate reports sent to submit@mathcve.org undergo deterministic 5-pass automated triage execution before human editorial assignment:

1. Destination
submit@mathcve.org
Direct encrypted queue ingest
2. Subject Line Format
[Math-CVD Submission] <Paper Title> - <Flaw Summary>
Automated triage router key
3. Attachments
.md Dossier + .py / .lean Reproducer
Hermetic sandbox verification
Epistemic Registry Indexing: Verified dossiers are assigned canonical tracking numbers and registered onto The Penta-Ledger's immutable ledger stream with complete mathematical provenance.
Send Report via Email →