# PVUGC Security Analysis - Peer Review Index

**Report Date:** 2025-10-15
**Report Version:** 3.0 (Adversarial Peer Review)
**Protocol:** PVUGC (Publicly Verifiable Universal General Computation)
**Analyzed Document:** `PVUGC-2025-10-20.md §1 Introduction` (v2.0 Spec) and corresponding update reports.
**Analyst:** Claude (M2)

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## Quick Reference Table

| Code | Title | Severity (M2) | Status (M2) | File | Notes |
|------|-------|----------|--------|------| --- |
| **PVUGC-001** | GT-XPDH Assumption | 🔴 **Critical** | ⚠️ Enhanced | [PVUGC-001.md](PVUGC-001) | v2 mitigation is strong, but assumption remains unproven. |
| **PVUGC-002** | GS Commitment Malleability | N/A | ✅ Resolved/Validated | [PVUGC-002.md](PVUGC-002) | v2 mitigation (binding CRS) is formally validated. |
| **PVUGC-003** | Independence Property | 🔴 **Critical** | ⚠️ Enhanced | [PVUGC-003.md](PVUGC-003) | `MUST` clause insufficient; normative ceremony required. |
| **PVUGC-004** | PoCE Soundness | 🟠 **High** | ✅ Resolved/Validated | [PVUGC-004.md](PVUGC-004) | Spec fix present; verify implementation. |
| **PVUGC-005** | Context Binding | 🟢 **Low** | ⚠️ Enhanced | [PVUGC-005.md](PVUGC-005) | v2 sound; recommend epoch_nonce. |
| **PVUGC-006** | Degenerate Values | 🟡 **Medium** | ⚠️ Enhanced | [PVUGC-006.md](PVUGC-006) | First-order checks are resolved. Novel collusive vector found. |
| **PVUGC-007** | Timing Attacks | 🟡 **Medium** | ⚠️ Enhanced | [PVUGC-007.md](PVUGC-007) | Must be normative. Proposed state machine & constant-time spec. |
| **PVUGC-008** | MuSig2 Compartmentalization | 🟠 **High** | ❌ Refuted | [PVUGC-008.md](PVUGC-008) | `MUST` clause insufficient. Deterministic nonce required. |
| **PVUGC-009** | Key-Committing DEM | N/A | ✅ Resolved | [PVUGC-009.md](PVUGC-009) | v2 profile is formally validated. |
| **PVUGC-010** | CRS Validation | N/A | ✅ Resolved | [PVUGC-010.md](PVUGC-010) | v2 principles are sound. Proposed canonical algorithm. |
| **PVUGC-011** | Collusive Randomness Cancellation | 🟡 **Medium** | 🆕 Novel | [PVUGC-011.md](PVUGC-011) | Novel second-order degeneracy discovered. |
| **APPENDIX** | Consolidated Debate References | N/A | N/A | [APPENDIX-issue-debates.md](APPENDIX-issue-debates) | Atomic, compact references for cited debates. |

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## Summary by Status (M2 Peer Review)

| Status | Count | Codes |
|--------|-------|-------|
| ✅ Resolved/Validated | 4 | PVUGC-002, PVUGC-004, PVUGC-009, PVUGC-010 |
| ⚠️ Enhanced | 5 | PVUGC-001, PVUGC-003, PVUGC-005, PVUGC-006, PVUGC-007 |
| ❌ Refuted | 1 | PVUGC-008 |
| 🆕 Novel / ✅/⚠️ | 1 | PVUGC-011 |
| **Total** | **11** | |

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## Summary by Severity (M2 Peer Review)

| Severity | Count | Codes |
|----------|-------|-------|
| 🔴 **Critical** | 2 | PVUGC-001, PVUGC-003 |
| 🟠 **High** | 2 | PVUGC-004, PVUGC-008 |
| 🟡 **Medium** | 3 | PVUGC-006, PVUGC-007, PVUGC-011 |
| 🟢 **Low** | 1 | PVUGC-005 |
| **Total Active** | **8** | |

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## Status Legend (M2)

- ✅ **Resolved/Validated**: The v2.0 mitigation is sound and formally validated, or the original concern is fully addressed.
- ⚠️ **Enhanced**: The issue remains open but has been clarified with formalisms, attack models, or concrete mitigation proposals.
- ❌ **Refuted**: The v2.0 mitigation is deemed insufficient to prevent a practical attack.
- 🆕 **Novel**: A new issue discovered during the peer review process.