# PVUGC Protocol Security Review **Author:** Fernando Paredes **License:** [CC-BY 4.0](https://creativecommons.org/licenses/by/4.0/) ## Quick Start - Read [`PVUGC-2025-10-27.md §1 Introduction`](PVUGC-2025-10-27) for the current target specification (v2.7). - Use [`report-compliance_audit-2025-10-29/README.md`](report-compliance_audit-2025-10-29/README) for the current v4.0 compliance audit summary and [`00-INDEX.md`](report-compliance_audit-2025-10-29/00-INDEX) for finalized validation status. - Refer to [`report-peer_review-2025-10-26/README.md`](report-peer_review-2025-10-26/README) for the v3.0 peer‑review executive summary and [`00-INDEX.md`](report-peer_review-2025-10-26/00-INDEX) for historical severities and statuses. ## Document Map - [`report-compliance_audit-2025-10-29/`](report-compliance_audit-2025-10-29) – v4.0 Standards Compliance Validation (current compliance status). See [README.md](report-compliance_audit-2025-10-29/README) and [00-INDEX.md](report-compliance_audit-2025-10-29/00-INDEX). - [`RECOMMENDED-STANDARDS.md`](RECOMMENDED-STANDARDS) – Protocol‑specific validated recommendations (provisional), promoted from the v4.0 compliance audit. - [`report-peer_review-2025-10-26/`](report-peer_review-2025-10-26) – Version 3.0 peer review package. Each PVUGC-00X.md file contains the peer‑reviewed issue report; see [00-INDEX.md](report-peer_review-2025-10-26/00-INDEX) for status. - [`report-update-2025-10-07/`](report-update-2025-10-07) – Version 2.0 review package (superseded by v3.0). Each PVUGC-00X-*.md file revisits a specific issue, tracking whether it remains open, improved, or resolved. - [`report-preliminary-2025-10-07/`](report-preliminary-2025-10-07) – Original assessment set. Compare with the update to trace how each flaw evolved from initial discovery. - [`report-peer_review-2025-10-26/appendix_mathematical_considerations_v2.md`](report-peer_review-2025-10-26/appendix_mathematical_considerations_v2) – Peer-reviewed companion with Mathematician #2's validations and enhancements. - [`report-update-2025-10-07/appendix_mathematical_considerations.md`](report-update-2025-10-07/appendix_mathematical_considerations) – v2.0 appendix (superseded; still useful for historical derivations). - [`preliminary-peer_review-plan.md`](report-peer_review-2025-10-26/preliminary-peer_review-plan) – Proposed external review cadence, roles, and deliverables. - [`report-peer_review-2025-10-26/preliminary-peer_review-report.md`](report-peer_review-2025-10-26/preliminary-peer_review-report) – Complete Round 2 synthesis covering validations, refutations, enhancements, and novel findings. - [`PVUGC-2025-10-05.md`](PVUGC-2025-10-05) – Production specification with GT-XPDH assumption, Multi-CRS AND-ing, and normative security requirements (two-sided GS + HKDF/AEAD). ## How to Navigate Findings - Start with the peer review directory to see the latest status, then consult the matching file in the v2.0 update and preliminary reports to understand the original reasoning. - Issue codes stay stable across versions (PVUGC-001 through PVUGC-011). Status icons in [`00-INDEX.md`](report-peer_review-2025-10-26/00-INDEX) flag whether follow-up is still required. - When diving deeper on critical items, pair the issue brief with the relevant section in [`appendix_mathematical_considerations_v2.md`](report-peer_review-2025-10-26/appendix_mathematical_considerations_v2) for technical obligations and suggested proof strategies. ## Suggested Reading Order 1. [`PVUGC-2025-10-27.md §1 Introduction`](PVUGC-2025-10-27) (current target specification, v2.7) 2. [`report-compliance_audit-2025-10-29/README.md`](report-compliance_audit-2025-10-29/README) (v4.0 compliance audit summary) and [`00-INDEX.md`](report-compliance_audit-2025-10-29/00-INDEX) (finalized validation status) 3. [`report-peer_review-2025-10-26/README.md`](report-peer_review-2025-10-26/README) (v3.0 executive summary) and issue briefs in [`report-peer_review-2025-10-26/`](report-peer_review-2025-10-26) 4. Matching files in [`report-update-2025-10-07/`](report-update-2025-10-07) and [`report-preliminary-2025-10-07/`](report-preliminary-2025-10-07) for historical context 5. Supporting materials: [`appendix_mathematical_considerations_v2.md`](report-peer_review-2025-10-26/appendix_mathematical_considerations_v2) --- ## References This review project analyzes and builds upon the following foundational documents by **sidhujag**, sourced from [this HackMD document](https://hackmd.io/@sidhujag/BJeoZ0Ohxe): - **PVUGC (Mainnet-Today, Prove-to-Sign)** ([`PVUGC-2025-10-05.md`](PVUGC-2025-10-05)) - **Proof-Agnostic Verifiable Unique Group Commitments (PVUGC)** ([`PVUGC-2025-10-27.md`](PVUGC-2025-10-27)) --- *No AIs were harmed during the production of this work.*