Eden Scanner: Profinite Alignment Verification for EVM Bytecode: A Topological Framework for Smart Contract Security
Abstract
We present Eden Scanner, a complete implementation of profinite alignment verification for Ethereum Virtual Machine bytecode. The system enforces six conditions for ``hardened alignment'': (A) $\nu_2$-continuity of all operations, (B) $H^1(\text{code}) = 0$ ensuring no twisted code paths, (C) $\psi$-monotonicity preserving value invariants, (D) $H^1(\text{shadow}) = 0$ ensuring no data dependency cycles, (E) storage ownership verification detecting uncertified delegation, and (F) runtime bytecode verification via \texttt{EXTCODEHASH}. The off-chain analyzer implements Mayer-Vietoris exact sequences for sheaf composition, achieving $O(1)$ contract union via persistent graph pools. The on-chain MorphismGuard contract provides runtime enforcement with certificate registry, oath verification, and composability checking. All 31 tests pass across four modules. The system transforms theoretical results from condensed mathematics into practical smart contract security tooling. \end{abstract}
Fields of Study & Subjects
Security and Verification in Computing
Logic
programming
and type systems
Web Application Security Vulnerabilities
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 1 January 2026