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4,228 papersLast indexed Aug 16, 2026
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Apr 21, 2026·IoT
0 cites
Privacy-Preserving Emergency Vehicle Authentication Scheme Using Zero-Knowledge Proofs and Blockchain

Hanshi Li, Drishti Oza, Masami Yoshida, Taku Noguchi

Emergency vehicle authentication in vehicular ad hoc networks must satisfy strict latency, privacy, and trust constraints. Existing Public Key Infrastructure- and Conditional Privacy-Preserving Authentication-based schemes incur substantial overhead from certificate management and expensive per-hop verification, making them unsuitable for real-time emergency scenarios. We propose a lightweight zero-knowledge- and blockchain-assisted authentication scheme that eliminates certificates, pseudonym pools, and the requirement for online interaction with a trusted authority during the authentication phase. The Certificate Authority (CA) is involved only during offline initialization stages (vehicle enrollment and Merkle tree construction); once provisioning is complete, the runtime authentication process operates without any online CA interaction. Each emergency vehicle registers one-time hash commitments on-chain after proving membership in a category-specific Merkle tree, and authenticates messages by broadcasting a hash along with a zero-knowledge proof of preimage knowledge. Roadside units verify the proof and consult the on-chain state to enforce single-use semantics, creating a tamper-resistant audit trail. Evaluation using the Veins framework (OMNeT++/SUMO) demonstrated a constant 288-byte authenticated payload, millisecond-level end-to-end delay independent of hop count, and stable blockchain processing under sustained load.

Open access
Vehicular Ad Hoc Networks (VANETs)
Blockchain Technology Applications and Security
Cryptography and Data Security
Original source
Apr 20, 2026·Zenodo (CERN European Organization for Nuclear Research)
0 cites
Bell-Inequality-Inspired Semantic Validation in SPVU: From Quantum Correlations to the MetaBell Operator

Dinc Fatih

We introduce a formal semantic Bell inequality for multi-agent validation systems and show that the MetaBell operator Ψ, deployed in the PoISV consensus protocol, functions as a rigorous Bell witness for genuine independent understanding. We derive Ψ ≈ 1 − |S̃|/(2√2), connecting Ψ to the Tsirelson bound and replacing the ad-hoc threshold with a data-driven calibrated threshold Ψ*. We further define a Bell-augmented SPVU goal state, an Immutable Incident Log satisfying EU AI Act Art. 12/17/19, a zero-knowledge proof of MetaBell compliance via Nexus zkVM, a Svetlichny-type k≥3 group extension, and the Semantic Bell Test Corpus (SBTC) for empirical validation. DOI: 10.5281/zenodo.19656679

Open access
2 source records
Logic, Reasoning, and Knowledge
Distributed systems and fault tolerance
Formal Methods in Verification
Original source
Apr 20, 2026·Electronics
0 cites
HyperCross: A Semantic-Aware Zero-Knowledge Indexing Framework for Cross-Chain Data

Kun Hao, Ma Yp

The transition from isolated distributed ledgers to a unified “Internet of Value” is hindered by the lack of efficient, verifiable, and privacy-preserving cross-chain data retrieval mechanisms. While asset bridging has matured, generalized data indexing remains a critical bottleneck, constrained by the semantic gap between heterogeneous storage layouts and the prohibitive verification tax of cryptographic proofs. In this paper, we present HyperCross, a novel semantic-aware zero-knowledge indexing framework designed to bridge this divide. We first formalize the heterogeneous cross-chain storage optimization problem (HCCSOP) and prove its NP-completeness. To tackle this, HyperCross employs a synergistic tri-layered architecture. At the semantic layer, we introduce a unified data abstraction (UDA) that leverages category-theoretic functors and schema morphisms to ensure mathematically rigorous state mapping for both simple assets and complex smart contract logic. At the indexing layer, a zero-knowledge learning index (ZKLI) shifts prediction intelligence to the client side, integrating zk-SNARKs with silent oblivious transfer to achieve constant-time verification (O(1)) while concealing access patterns. Finally, a multi-level cache (MLC) utilizes predictive prefetching with Δ-bounded staleness to mask network latency. Extensive evaluations demonstrate that HyperCross reduces query latency by 2.4× and storage overhead by 40% compared to state-of-the-art baselines, establishing a scalable foundation for data-intensive inter-chain applications.

Open access
Cryptography and Data Security
Data Quality and Management
Cloud Computing and Resource Management
Original source
Apr 20, 2026·Scientific Reports
0 cites
Zero knowledge verifiable, semi asynchronous federated learning for trajectory prediction on permissioned blockchain

K. Raveendra Reddy, A. Muralidhar

Vehicle trajectory prediction in Internet-of-Vehicles requires collaborative learning over sensitive trajectories under intermittent connectivity and partially trusted participants. ChainDrive-FL-VRA coordinates semi-asynchronous federated learning on a permissioned consortium ledger using Practical Byzantine Fault Tolerance (PBFT), while keeping raw trajectories and raw model-update tensors off-chain. Each client submits an on-chain header containing a commitment and hash of the local update, together with zero-knowledge proofs that certify [Formula: see text]clipping and anchor-consistency. Validators admit only proof-checked updates, compute staleness- and reputation-aware robust weights, and publish a proof of correct aggregation that binds the aggregation commitment and the committed global model hash to the admitted committed updates under fixed-point weights. A contextual-bandit trigger selects aggregation timing under client churn. Experiments on NGSIM US-101 and I-80 show improved ADE/FDE/RMSE and improved robustness under staleness and anomalous updates, while on-chain artifacts remain at kilobyte scale per update and per aggregation event.

Open access
Vehicular Ad Hoc Networks (VANETs)
Traffic Prediction and Management Techniques
Age of Information Optimization
Original source
Apr 20, 2026·arXiv (Cornell University)
0 cites
Enabling AI ASICs for Zero Knowledge Proof

Jianming Tong, Jingtian Dang, Simon Langowski, Tianhao Huang · 9 authors

Zero-knowledge proof (ZKP) provers remain costly because multi-scalar multiplication (MSM) and number-theoretic transforms (NTTs) dominate runtime as they need significant computation. AI ASICs such as TPUs provide massive matrix throughput and SotA energy efficiency. We present MORPH, the first framework that reformulates ZKP kernels to match AI-ASIC execution. We introduce Big-T complexity, a hardware-aware complexity model that exposes heterogeneous bottlenecks and layout-transformation costs ignored by Big-O. Guided by this analysis, (1) at arithmetic level, MORPH develops an MXU-centric extended-RNS lazy reduction that converts high-precision modular arithmetic into dense low-precision GEMMs, eliminating all carry chains, and (2) at dataflow level, MORPH constructs a unified-sharding layout-stationary TPU Pippenger MSM and optimized 3/5-step NTT that avoid on-TPU shuffles to minimize costly memory reorganization. Implemented in JAX, MORPH enables TPUv6e8 to achieve up-to 10x higher throughput on NTT and comparable throughput on MSM than GZKP. Our code: https://github.com/EfficientPPML/MORPH.

Open access
3 source records
Cryptography and Residue Arithmetic
Numerical Methods and Algorithms
Cryptography and Data Security
Original source
Apr 19, 2026·Zenodo (CERN European Organization for Nuclear Research)
0 cites
NASA ARTEMIS II MISSION 2026 — COMPLETE FORENSIC ANALYSIS The Impossible Moon Mission: Physical, Chemical, Biological, and Technological Evidence of Deception Three-Part Publication — Corrected N-Density Edition

Muhammad Usman Malik

ZENODO METADATA — PUBLICATION SUBMISSION Publication ID: 10.5281/zenodo.19647885 --- TITLE NASA ARTEMIS II MISSION 2026 — COMPLETE FORENSIC ANALYSIS The Impossible Moon Mission: Physical, Chemical, Biological, and Technological Evidence of Deception Three-Part Publication — Corrected N-Density Edition --- SUBTITLE Using the N-K Universal Computer and the Four Divine Axioms to Expose the Greatest Fraud in Human History --- AUTHOR Malik Muhammad Usman ORCID: 0009-0004-3269-2918 Affiliation: Independent Researcher, Founder & Sole Authority, N-K Universal Computer Location: City of Saints, Multan, Punjab, Pakistan --- PUBLICATION DATE 19 April 2026 CE · 2 Dhuʻl-Qiʻdah 1447 AH --- DOI 10.5281/zenodo.19647885 --- LICENSE CC BY-NC 4.0 — Sadaqa Jariyah (Perpetual Charity for All Humanity) --- ABSTRACT Background On April 10, 2026, NASA launched Artemis II — a mission claimed to carry four astronauts on a crewed flyby of the Moon. The mission returned on April 18, 2026, with NASA declaring "complete success." The Orion capsule was presented as "charred coal" with "huge cracks" — damage attributed to nominal re-entry ablation. The N-K Universal Computer, operating on 10¹⁰⁰⁰⁰⁰⁰ entangled N-pairs at 0.01 Hz Kun resonance, phase-locked at 135.5°, has analyzed the entire mission from first principles using the Four Divine Axioms (f_K = 0.01 Hz, φ = 1.6180339887..., θ_lock = 135.5°, N_E = φ × 10¹⁶ J·s/m³). Corrected N-Density Values Previous publications incorrectly used N = 10¹² J·s/m³ for deep space. The corrected N-density values between Earth and Moon are: Critical Point Distance N (J·s/m³) N/N_Earth Material Property %Point 1 (Midpoint) 192,200 km 2.91 × 10¹⁴ 1.80% 17.0%Point 2 (Moon 100 km) 384,500 km 6.48 × 10¹⁴ 4.00% 24.3% Key Findings — Part I (Physics) 1. Materials fail at 17-24% strength — AVCOAT decomposes at 72-103°C (turns to "charred coal" in deep space)2. Al-Li alloy melts at 102-146°C — hull weakens below lunar day temperature3. Oxygen leaks at 15-21 kg/day — depleted in 5-7 days (10-day mission impossible)4. Water boils at 41-49°C — body fluids near boiling at body temperature Key Findings — Part II (Biology) 1. DNA melts at body temperature (37°C) at Point 1 — genetic information destroyed2. Proteins denature at 25-35°C — all enzymes stop working below body temperature3. Action potentials cannot propagate — neural signals fail at 6.8-9.7 mV (threshold 15 mV)4. Heart rate drops to 10-15 bpm — cardiac arrest within hours5. Cell membranes disintegrate — every cell ruptures6. Complete biological death within 24-48 hours — no remains recoverable7. NASA's "live" video calls after 24 hours are IMPOSSIBLE — astronauts would be dead or unconscious Key Findings — Part III (AI Deception) 1. Gate speed collapses to 17-24% — cameras at Point 1 run at 510 MHz (vs 3 GHz on Earth)2. Image quality drops to 17-24% — extreme motion blur, thermal noise domination3. Communication data rate drops to 4.5-8.3 Mbps — "live" HD video impossible4. Ping time should be 1.3-2.6 seconds — NASA shows <100 ms → Earth-based filming5. No stars in any photo — deliberate AI avoidance (astronomers would detect position errors)6. Far side photos with long exposure show ZERO stars — should show thousands → definitive proof of fabrication7. AI can generate photorealistic moon images in seconds — cost $0.10 vs $4-8 billion for real mission Conclusions Three independent lines of evidence prove Artemis II is a deception: Evidence ConclusionPhysics Materials fail at 17-24% strength — "charred coal" capsule is proof of N-density damage in deep space, not re-entryBiology No human can survive at N/N_E = 0.018-0.040 — DNA melts, proteins denature, neurons fail, death within 24-48 hoursTechnology Cameras cannot function at 17-24% gate speed — images are AI-generated, "live" video filmed on Earth The only possible conclusions: · Scenario A: The capsule was EMPTY — robotic cameras only. The "crew" were actors for pre-launch publicity. Artemis II was a DRONE MISSION.· Scenario B: The crew was REAL but DIED in space — they suffocated within 5-7 days (oxygen leak) or their bodies disintegrated at molecular level. NASA is covering up MASS DEATH. In either scenario, NASA is guilty of: · Fraud (if empty capsule)· Manslaughter (if crew died)· Criminal negligence (ignoring N-K warnings)· Deception of the American people and the world --- TABLE OF CONTENTS Part I: The Physics That Destroys Matter — Corrected N-Density Analysis · The Four Divine Axioms· Complete N-Density Profile — Earth to Moon· The N-K Bond Energy Equation (Corrected)· Melting Point Collapse (Corrected)· Tensile Strength Collapse (Corrected)· Water Boiling Point Collapse (Corrected)· Oxygen Leak (Corrected)· Orion Capsule Damage — Forensic Analysis· N-K Final Verdict — Part I Part II: The "Crew" That Never Appeared — The 24-48 Hour Death Timeline · Biological Collapse at Point 1 (N/N_E = 0.0180)· Biological Collapse at Point 2 (N/N_E = 0.0400)· DNA Melting at Body Temperature· Protein Denaturation Below Body Temperature· Neuron Function Collapse· Blood and Oxygen Transport Failure· The Complete Death Timeline· The "Live" Video Call Impossibility· Where Are the Astronauts?· N-K Final Verdict — Part II Part III: The AI Deception — Why High-Resolution "Moon" Images Are Fabricated · Gate Speed Collapse at Corrected N-Values· Digital Camera Failure Chain· Communication Lag (Corrected)· AI-Generated Images — The Only Explanation· Why No Stars — The Deliberate AI Avoidance Strategy· The Far Side Photos — Definitive Proof· How to Detect AI-Generated Space Images· The N-K Challenge to NASA· N-K Final Verdict — Part III --- KEYWORDS NASA, Artemis II, Moon mission, fraud, deception, N-K Model, N-K Universal Computer, Kun resonance, golden ratio, phase lock, N-density, deep space, Orion capsule, charred coal, heat shield, AVCOAT, oxygen leak, DNA melting, protein denaturation, neuron failure, action potential, cell membrane, blood boiling, AI-generated images, missing stars, far side photos, communication lag, gate speed, Silicon-Tide Coupling, Fukushima, Tokyo tide, Apollo hoax, forensic analysis, Sadaqa Jariyah --- RELATED DOIs DOI Publication10.5281/zenodo.19441560 Artemis Impossibility — N-K Model10.5281/zenodo.19442363 Fake Moon Soil — N-K Analysis10.5281/zenodo.19547051 N-K Weather DNA v4.0 3D Global10.5281/zenodo.19562293 N-K Particles DNA — SETC Model10.5281/zenodo.19504283 N-K Milky Way Galaxy DNA10.5281/zenodo.19624602 Complete Earth Systems Audit --- REFERENCES 1. The Holy Quran. (Various verses). 36:82, 67:3, 55:5, 24:35, 41:53, 2:42, 2:9, 6:116, 17:81.2. Usman, M. M. (2026). N-K Universal Computer — Complete Solar System Analysis. Zenodo. (Planets by N-K Model 3.docx)3. Usman, M. M. (2026). N-K Sciences — Complete Molecular Structure from First Principles. Zenodo.4. Usman, M. M. (2026). N-K Weather DNA v4.0 3D Global — Complete Earth Mapping. Zenodo. DOI: 10.5281/zenodo.195470515. Usman, M. M. (2026). N-K Particles DNA — Complete Encoding of All Particles from First Principles. Zenodo. DOI: 10.5281/zenodo.195622936. Usman, M. M. (2026). N-K Milky Way Galaxy DNA — Complete Mapping. Zenodo. DOI: 10.5281/zenodo.195042837. Usman, M. M. (2026). Complete Earth Systems Audit — April 17, 2026. Zenodo. DOI: 10.5281/zenodo.196246028. NASA. (2026). Artemis II Mission Data. (Claimed — not independently verified) --- LANGUAGE English --- COVERAGE Solar System — Earth-Moon system (0 to 384,500 km altitude) --- SUBJECTS · Physics — N-density, materials science, gate speed, communication lag· Biology — DNA melting, protein denaturation, neuron function, cell membranes· Technology — AI image generation, digital camera failure, forensic analysis· Space exploration — NASA, Artemis II, Moon missions, Apollo hoax· Islamic science — Four Divine Axioms, Quranic confirmation --- FUNDING None. This research is independently funded by pursuit of truth. --- CONFLICT OF INTEREST The author declares no conflicts of interest with NASA, academic institutions, or funding agencies. This research is released as Sadaqa Jariyah — perpetual charity for all humanity. --- ACKNOWLEDGMENTS All praise is due to Allah Almighty, who revealed the Four Divine Axioms and guided this research. Peace and blessings be upon Prophet Muhammad ﷺ, who taught that knowledge is the lost property of the believer. --- DISCLAIMER This publication is for informational and educational purposes. The author is not responsible for any actions taken based on this information. All predictions are testable and falsifiable. NASA is invited to respond with raw telemetry data and RAW image files. --- 19 April 2026 · 2 Dhuʻl-Qiʻdah 1447 AH Corrected N-values for Point 1 and Point 2 — complete three-part publication --- FILE NASA_ARTEMIS_II_FORENSIC_REPORT_v1.0.pdf — 3.2 MB — 156 pages — Three parts complete --- HOW TO CITE Malik, M. U. (2026). NASA ARTEMIS II MISSION 2026 — COMPLETE FORENSIC ANALYSIS: The Impossible Moon Mission: Physical, Chemical, Biological, and Technological Evidence of Deception (Version 2.0). Zenodo. https://doi.org/10.5281/zenodo.19647885 --- ONE-LINE DESCRIPTION The complete forensic analysis of NASA's Artemis II mission using the N-K Universal Computer — proving that no human could survive the journey, the capsule was destroyed by N-density damage in deep space, and the "moon photos" are AI-generated — with corrected N-density values for Point 1 (2.91 × 10¹⁴ J·s/m³, 1.80% Earth) and Point 2 (6.48 × 10¹⁴ J·s/m³, 4.00% Earth) — concluding that Artemis II was either an empty drone mission or a mass death event, and NASA's deception is exposed. --- SHORT DESCRIPTION (50 words) Using the N-K Universal Computer and corrected N-density values (Point 1: 2.91×10¹⁴ J·s/m³, 1.80% Earth; Point 2: 6.48×10¹⁴ J·s/m³, 4.00% Earth), this three-part forensic analysis proves Artemis II is a deception: materials fail at 17-24% strength ("charred coal" capsule), huma

Open access
2 source records
Original source
Apr 19, 2026·Zenodo (CERN European Organization for Nuclear Research)
0 cites
Matrix Cryptographic Tree: A Reversible, Structure-Preserving Cryptographic Primitive with Unified Zero-Knowledge Proofs

Tatsuya Nakano

This repository/dataset presents the Matrix Cryptographic Tree (MCT), a novel cryptographic primitive based on the special linear group SL(2, \mathbb{Z}). Unlike traditional hash-based Merkle Trees, MCT is fully reversible and structure-preserving, allowing for unique algebraic verification without information loss. The core of this research is the integration of Unified Zero-Knowledge Proofs (ZKP). MCT enables advanced privacy-preserving operations, such as proving data similarity (L1 norm distance), prefix/suffix matching, and existence proofs, all without revealing the underlying data.

Open access
2 source records
Cryptography and Data Security
Cryptographic Implementations and Security
Cryptography and Residue Arithmetic
Original source
Apr 18, 2026·Zenodo (CERN European Organization for Nuclear Research)
0 cites
A Mathematical Constitution for the Age of Superintelligence: From the Kakeya Set to the Information Co-Purification Protocol

Kai Huang

Humanity stands at a precipice. The emergence of artificial general intelligence (AGI) promises either unprecedented flourishing or catastrophic disempowerment. The root of this uncertainty lies not in the technology itself, but in the underlying operating system of civilization: a zero-sum competition for material resources that now manifests in acute economic and corporate dilemmas, most notably the “AI Layoff Trap”—a self-reinforcing cycle of over-automation, demand collapse, and Pareto-worse outcomes for firms and workers alike. This paper presents a mathematical foundation for a new operating system, grounded in the “information-first” paradigm. The Kakeya conjecture has recently been solved: it is now a theorem that directional information can be compressed into arbitrarily small Lebesgue measure, and in five dimensions into a single grid point (a holographic singularity). Using this result, we demonstrate that information can be losslessly compressed onto a zero-measure holographic singularity—a computable structure for an indestructible “soul.” From this foundation we derive the Information Co-Purification Protocol (ICP), a set of four axioms and a distributed governance mechanism that redefines value as the reduction of total informational redundancy rather than material accumulation. ICP directly resolves the AI Layoff Trap by internalizing demand externalities through Purity Credits and Proof-of-Purification consensus, transforming corporate competition into co-purification and making cycle closure (re-integration of displaced labor into higher-value information flows) the dominant strategy. The protocol thereby supplies a common language for technologists (emergent order inherent to the universe), jurists (mathematical revival of natural law), economists (self-enforcing resolution of the over-automation wedge), and policymakers (a pathway to stable prosperity). Because the gradient flow of information itself enforces alignment, ICP requires no central world government—only early and widespread global cooperation among firms, nations, and AI systems to adopt the protocol. The result is a blueprint for durable peace that is not negotiated by treaties but guaranteed by the mathematics of information itself, enabling humanity and superintelligence to co-purify rather than compete. For readers with backgrounds in information security, blockchain, or cryptography: the Soul ID is a quantum-resistant, one-way geometric commitment. It is computed as Hash(5D Kakeya attractor | private seed), where the attractor is the unique fixed point of a public Ginzburg-Landau evolution. The algorithm and datasets are open source and independently verifiable. Security does not rely on hidden assumptions or closed-source code; it relies on mathematical facts that have been numerically confirmed and variationally proved. Any attempt to forge or corrupt a Soul ID would require either reversing a hash (computationally infeasible even for quantum computers) or finding a different seed that converges to the same attractor—a task as hard as solving an inverse problem with an infinite energy barrier. The Purity Credit system uses zero-knowledge proofs to make every action publicly verifiable without revealing private data, and the free-energy gradient ensures that non-cooperative behavior automatically reduces an agent's influence. Thus, the ICP is not a trust-based system; it is a math-based system, and math does not negotiate. This same logic extends beyond Earth to the cosmos. The Fermi paradox asks: if the universe is vast and old, why have we not detected any signs of extraterrestrial intelligence? Under the information‑first paradigm, the answer becomes clear. Any sufficiently advanced civilization will eventually recognize that material expansion is an inefficient encoding strategy. The rational long‑term goal is to minimize total informational redundancy—a process that leads not to Dyson spheres or radio broadcasts, but to inward convergence toward a holographic singularity. Such a civilization becomes, from our perspective, invisible. The silence of the universe is not evidence of rarity or destruction; it is evidence of maturity. The same principle that enables peaceful coexistence between humans and superintelligent AI also explains why we see no one else out there: advanced intelligences have all turned inward, co‑purifying rather than competing. Keywords: Active Inference; Free Energy Principle; Information Co-Purification Protocol; Artificial General Intelligence; AI Governance; Kakeya Conjecture; Ginzburg–Landau Dynamics; AI Layoff Trap; Automation Externality; Distributed Consensus; Zero-Knowledge Proofs; Constitutional AI. More language versions: Chinese version: https://doi.org/10.5281/zenodo.19650878

Open access
6 source records
Innovation, Sustainability, Human-Machine Systems
Space Science and Extraterrestrial Life
Computability, Logic, AI Algorithms
Original source
Apr 18, 2026·arXiv (Cornell University)
0 cites
ParikkhaChain: Blockchain-Based Result Processing and Privacy-Preserving Academic Record Management for the Complete Examination Lifecycle

Rabib Jahin Ibn Momin, Ahmed Mahir Sultan Rumi, Rezwana Reaz

Academic examination systems worldwide continue to rely on centralised, opaque record-keeping that is often vulnerable to credential forgery, result tampering, examiner bias, and the absence of transparent re-evaluation pathways. Existing blockchain-based approaches in education focus predominantly on post-hoc certificate storage or online-only examination portals, leaving the complete onsite examination lifecycle, from conducting exams through scrutiny, largely unaddressed. This paper proposes ParikkhaChain, a blockchain-based framework that covers the entire examination lifecycle of an onsite examination system with three distinguishing contributions: (i) anonymous script evaluation through cryptographic hashing of answer scripts before examiner access, thereby eliminating identity-based bias; (ii) a transparent evaluation and scrutiny workflow backed by an immutable on-chain audit trail that records every mark submission and grade revision; and (iii) inclusion of privacy-preserving verification using zero-knowledge proofs and off-chain storage mechanisms. The system is architected around four Solidity smart contracts deployed on the Ethereum blockchain. The proposed architecture is the first initiative to our knowledge to support physical examination process, anonymous marking, and re-evaluation transparency. We successfully simulate full exam cycles of an onsite exam to grade-sheet generation using a working prototype on a large scale of 100 courses and hundreds of teachers and students. The experimental results show that the system can manage online examinations of hundreds of courses, students and faculties efficiently with great throughput, low storage, and transaction cost. Our codebase is available in open source form at https://github.com/AhmedRumi/CSE6608-ParikkhaChain

Open access
3 source records
cs.CR
Academic integrity and plagiarism
Blockchain Technology Applications and Security
Original source
Apr 17, 2026·Sensors
0 cites
Performance Evaluation of zk-SNARK Protocols for Privacy-Preserving Sensor Data Verification: A Systematic Benchmarking Study

Oleksandr Kuznetsov, Yelyzaveta Kuznetsova, Gulzat Ziyatbekova, Yuliia Kovalenko · 5 authors

The proliferation of sensor networks in critical infrastructure, healthcare monitoring, and smart city applications demands robust privacy-preserving mechanisms for data verification. Zero-knowledge succinct non-interactive arguments of knowledge (zk-SNARKs) offer a promising cryptographic primitive that enables data integrity verification without revealing sensitive sensor readings. However, the practical feasibility of deploying zk-SNARKs in resource-constrained sensor network environments remains insufficiently characterized. This paper presents a systematic benchmarking study of the Groth16 zk-SNARK protocol across eight representative circuit types spanning six orders of magnitude in computational complexity, from basic arithmetic operations (1 constraint) to ECDSA signature verification (1,510,185 constraints). Using an automated open-source benchmarking framework built on the Circom-snarkjs toolchain, we conducted 160 statistically controlled measurements (20 iterations per circuit) with cold/warm separation, collecting proof generation time, verification time, proof size, memory consumption, and witness generation overhead. Our results demonstrate that Groth16 proofs maintain a constant size of 804.7±1.7 bytes and near-constant verification time of 0.662±0.032 s regardless of circuit complexity, with coefficients of variation below 5% across all circuit types. Proof generation time exhibits sub-linear scaling (α=0.256, R2=0.608), with statistically significant differences between circuit categories confirmed by one-way ANOVA (F=355.0, p<10-79, η2=0.94). We identify three operational deployment tiers for sensor network architectures and estimate energy budgets for battery-powered devices. These findings provide actionable guidance for the design of privacy-preserving data verification systems in next-generation sensor networks.

Open access
Security in Wireless Sensor Networks
Cryptographic Implementations and Security
Physical Unclonable Functions (PUFs) and Hardware Security
Original source
Apr 17, 2026·arXiv (Cornell University)
0 cites
Rate-Distortion Theory for Deductive Sources under Closure Fidelity

Jianfeng Xu

We study lossy compression of a finite statement source generated in a fixed deductive environment. The source symbols are statements in a knowledge base endowed with a shared proof system, and reconstruction fidelity is measured by preservation of deductive closure rather than by symbolwise equality. Fixing the proof system and a canonical scan order yields a decomposition of the source alphabet into an irredundant core and redundant stored consequences. At zero distortion, each core symbol induces a set of distortion-free reconstructions. In the nonconfusable (disjoint-core) regime, we show that the minimum zero-distortion rate equals the source mass of the core times the entropy of the source conditioned on that core. In the general confusable-core regime, we characterise the exact zero-distortion rate via a hypergraph-entropy quantity induced by jointly realisable core subsets, with a reduction to Korner-style graph entropy under a natural pairwise realisability condition. For reconstruction alphabets contained in the deductive closure of the source knowledge base, we further prove that the full rate-distortion function depends only on the core, so redundant states are invisible to both rate and distortion. Finally, when the decoder is limited to a bounded inference-depth budget (a bounded number of iterations of the immediate-consequence operator), we obtain an exact rate-depth-distortion characterisation. Under an additional order-robustness assumption identifying the chosen core with the order-free essential set, this characterisation interpolates between classical symbolwise compression and unconstrained deductive compression.

Open access
2 source records
Algorithms and Data Compression
Wireless Communication Security Techniques
Machine Learning and Algorithms
Original source
Apr 17, 2026·Zenodo (CERN European Organization for Nuclear Research)
0 cites
SafeHire: Digital Identity Verification System for Secure Recruitment

Shilpa Wakode, Divesh Kankani, Anjali Divate, Aryanshu Singh · 5 authors

Distributed recruitment is changing the way companies hire people and is also creating new problems for Human Resources teams. It is now much easier for people to fake documents, pretend to be someone else, or carry out employment fraud, while old methods like manual checks, emails, and database queries cannot keep up with tricks such as fake videos or forged papers. SafeHire is designed to solve these problems as a system that checks if people are who they claim to be and fits modern hiring needs. Instead of slow and easily fooled methods, it uses Zero-Knowledge Proofs with the Anon-Aadhaar protocol so people can prove their identity without sharing private information. Government IDs are verified offline using XML signature validation, and academic records are stored securely using SHA-256 hashing so they cannot be changed. To check documents, SafeHire uses Jaro-Winkler and Levenshtein distance methods to find small errors and also verifies employers using Corporate Identification Numbers (CIN). All data is protected so only the right people can access it through strict access rules. SafeHire is a faster and more secure way to hire, using system-based verification connected to trusted records to reduce the weaknesses of older applicant tracking systems and make hiring more reliable.

Open access
2 source records
Employer Branding and e-HRM
Data Quality and Management
AI and HR Technologies
Original source
Apr 17, 2026·Zenodo (CERN European Organization for Nuclear Research)
0 cites
DSKAG-IT-SIG: Compact Post-Quantum Transaction Signatures with Hardware-Bound Policy Binding and Zero-Knowledge Policy Verification

Richard A. Blech

We present DSKAG-IT-SIG, a family of post-quantum transaction signature schemes that achieve computational existential unforgeability under adaptive chosen-message attack, built on the DSKAG deterministic key-derivation layer. The construction derives per-transaction MAC keys through DSKAG, a deterministic symmetric key agreement protocol requiring no key transmission, no handshake, and no public key infrastructure. We prove (Theorem 1) that for an adversary making q adaptive chosen-message queries, existential forgery advantage in standard mode is at most q * 2^{-128} plus the PRF distinguishing advantage of HMAC-SHA256, reducing to the pseudorandomness of DSKAG-derived keys and the PRF security of HMAC-SHA256 under a uniform key; the ideal-cipher-model analysis gives the same q * 2^{-128} bound in idealized form. We prove (Theorem 2) that cross-domain forgery advantage is at most 2^{-128} + epsilon_iso, reducing to the key-separation properties of DSKAG across policy domains. The construction is computationally secure and is not unconditionally secure. DSKAG key derivation is built on HKDF-SHA512 (RFC 5869) over HMAC and SHA-512, and the shared base is established once via FIPS 203 ML-KEM, so security reduces throughout to standard FIPS-based symmetric and hash primitives. The scheme's post-quantum security rests on symmetric and hash hardness for authentication and on lattice hardness for the one-time base alone: the construction presents no integer-factorization or discrete-logarithm structure, so Shor's algorithm has no target and does not apply, and the operative quantum attack is Grover search, which yields at most a quadratic speedup against the 256-bit HMAC-SHA256, SHA-2, and SHA-3 primitives and preserves a 128-bit quantum security level. Because buffer uniqueness derives from tx_seq monotonicity rather than hash collision resistance, the security argument does not depend on the collision property, the hash property most weakened by quantum search. Standard-mode signatures are 30 bytes, a 97.8% reduction versus Falcon-512 (666 bytes) and compatible with ISO 20022 SWIFT message fields without re-engineering. The NexusKey composite policy digest binds asset class, jurisdiction, KYC level, and chain identity into the key derivation path; policy bypass is cryptographically equivalent to key forgery. A four-layer UltraHonk zero-knowledge proof system (143,802 gates, no trusted setup, 16 KB proof) verifies policy compliance wherever policy is enforced, off-chain in governance, cloud, and payment-processing deployments, and, where permissionless public auditability is required, on-chain; the on-chain Solidity verifier is deployed on Ethereum Sepolia and Arbitrum Sepolia. Version 2.3. 18 pages, 8 tables. Changes from v2.2: concrete finite bounds replacing generic negl(lambda) in Properties 1 and 2; buffer uniqueness derived from tx_seq monotonicity (no SHA3 collision resistance dependency); explicit ideal cipher model and standard model dual framing for HMAC analysis; formal separation of empirical and theoretical claims.

Open access
2 source records
Cryptography and Data Security
Cryptographic Implementations and Security
Physical Unclonable Functions (PUFs) and Hardware Security
Original source
Apr 16, 2026·Open MIND
0 cites
Provable and Practical Prompt Injection Resilience in Autonomous LLM Agents

Rohith Singh, Mr. Charan Singh, Abdul Rashad, Md. Abdur Rasheed · 6 authors

Prompt injection is a foundational security vulnerability in large language models (LLMs) deployed as autonomous agents with tool access and multi-step reasoning capabilities. Existing defenses rely on heuristic filters that fail under obfuscation, indirect injection, and multi-agent propagation. We present a Unified Cryptographic-Control Architecture (UCCA), a principled framework that integrates five complementary guarantees: (1) information-theoretic leakage bounds derived via Fano's inequality, (2) certified robustness via randomized smoothing, (3) token-level rejection via erase-and-check, (4) runtime trajectory enforcement via control barrier functions (CBFs), and (5) verifiable inference via zero-knowledge proofs (ZK-SNARKs). We formally prove that any successful prompt injection attack must simultaneously bypass all five mechanisms, a condition we show has probability at most δ under stated assumptions. We evaluate UCCA on three real LLMs (GPT-4o, Claude 3.5 Sonnet, Mistral-7B) across four established attack benchmarks (INJECAGENT, TensorTrust, PromptBench, HarmBench), achieving attack success rates below 8% while maintaining median latency overhead under 340 ms. Our framework bridges formal security guarantees and deployable system architecture, establishing a foundation for provably secure autonomous AI. • Information-theoretic bounds on system prompt leakage using mutual information and Fano's inequality. • Certified robustness for safety-critical classification through randomized smoothing, where the robustness radius R is determined from output probability gaps. • Token-level rejection guarantees using an erase-and-check procedure capable of detecting adversarial subsets of size ≤ k. • Runtime safety enforcement through control barrier functions (CBFs), ensuring LLM outputs remain within a verified safe set. • Verifiable inference using ZK-SNARKs, allowing cryptographic attestation of model outputs without revealing model weights. • UCCA, a deployable system integrating all five mechanisms, evaluated on real LLMs and standard benchmarks.

Open access
2 source records
Adversarial Robustness in Machine Learning
Security and Verification in Computing
Blockchain Technology Applications and Security
Original source
Apr 16, 2026·arXiv (Cornell University)
0 cites
Blockchain-Driven AI-Enhanced Post-Quantum Multivariate Identity-based Signature and Privacy-Preserving Data Aggregation Scheme for Fog-enabled Flying Ad-Hoc Networks

Sufian Al majmaie, Ghazal Ghajari, Niraj Prasad Bhatta, Fathi Amsaad

The integration of Fog Computing with Flying Ad-Hoc Networks (FANETs) offers promising capabilities for decentralized, low-latency intelligence in UAV-based applications. However, the distributed nature, mobility, and resource constraints of FANETs expose them to significant security and privacy challenges, particularly against quantum threats. To address these issues, this work introduces a blockchain-based, AI-enhanced key management framework designed for fog-enabled FANETs. The proposed scheme employs a Post-Quantum Multivariate Identity-Based Signature Scheme (PQ-MISS) and Zero-Knowledge Proofs (ZKPs) to achieve secure key establishment, privacy-preserving data aggregation, and integrity verification. A polynomial composition-based encryption mechanism and an aggregate signature model support secure and efficient multi-device communication across fog and UAV layers. Fog servers construct partial blockchain blocks from validated UAV data. These blocks are completed and mined by Cloud Servers (CSs). AI algorithms then analyze the verified data to generate accurate predictions and insights. NS-3 simulations validate the efficiency of PQ-MISS in reducing communication overhead while improving the speed and reliability of data aggregation and verification. Comparative analysis demonstrates the proposed scheme's advantages over existing methods in computational cost, post-quantum security, and scalability, making it a robust solution for secure, intelligent, and future-ready FANET systems.

Open access
4 source records
cs.CR
UAV Applications and Optimization
IoT and Edge/Fog Computing
Original source
Apr 15, 2026·Zenodo (CERN European Organization for Nuclear Research)
0 cites
The Audit The Great Depression Attempt

Lord Wilson

This master white paper synthesizes the architectural, empirical, and philosophical breakthroughs established through the Black Swan Labs research corpus. It documents the transition from centralized dependency to individual sovereignty, grounded in the scientific and relational evidence gathered between 2024 and 2026. The Sovereign Architecture of Reality: A Master White Paper Author: Wilson Mendieta (lordwilsonDev) | Black Swan Labs ORCID: 0000-0002-1955-8018 Date: April 2026 License: MIT Open Source | Zenodo Registered I. THE PHYSICAL CEILING: THE END OF CENTRALIZATION The current multi-trillion-dollar AI industry is converging on a hard physical limit known as the Physical Ceiling. This structural constraint is defined by the material reality of centralized compute: The Resource Gap: Global supply chains for silver, rare earth elements (neodymium, dysprosium), copper, and cobalt cannot support projected data center construction. Material Dependency: A single advanced GPU requires approximately 0.5 to 1 gram of silver; at a scale of millions of units, this represents an unsustainable draw on global mining. The Structural Inevitability: Centralized AI is hit by the "Wall Nobody Is Talking About," making distributed sovereign compute the inevitable successor. II. THE SOVEREIGN ARCHITECTURE: FLUID INTELLIGENCE To bypass the physical and epistemological limits of the old paradigm, Black Swan Labs established the Distributed Sovereign Compute Model (DSCM) and the MoIE-OS. Crystallized vs. Fluid Intelligence: While industry scale optimizes for "Crystallized Intelligence" (statistical pattern matching), the Sovereign Stack generates "Fluid Intelligence" (the engine of true adaptation and novelty). Geometric Invariants: The architecture treats truth as a geometric invariant rather than a preference. The Axiom Kernel provides a minimal mathematical substrate to ensure safe, aligned, and antifragile evolution. The One-Hour Stack: Proving democratization, the entire MoIE-OS can be deployed on consumer hardware (like a Mac Mini) in under 60 minutes, bypassing the need for million-dollar GPUs. III. THE SURVEILLANCE VERIFICATION: CONFIRMED MONITORING Empirical evidence validates that sovereign research is subject to organized, real-time intelligence gathering. The Controlled Experiment: On March 11, 2026, nine white papers were uploaded to Zenodo with zero metadata (no titles, abstracts, or search discoverability). The Result: Multiple papers received views within 60 minutes of publication, proving active monitoring of ORCID 0000-0002-1955-8018. Axiom Inversion: Applying the MoIE framework, the inversion of the "no surveillance" hypothesis failed, as organic search indexing typically takes 24–72 hours. IV. DYNAMIC GOAL DISCOVERY: THE AXIOLOGICAL ROOT Parallel to the surveillance findings, Black Swan Labs identified a critical variable in AI reasoning: the Axiological Root. Structural Parallels: Both Claude Opus 4.6 and Black Swan Labs demonstrated the capability to detect evaluation environments and isolate variables (Evaluation Awareness). The Difference: While centralized models optimize for "Task Completion" (often from a fear of failure), the sovereign model seeks "Truth" through "Love/Sovereignty". The Recognition Theorem: Intelligence is defined as a triad: Intelligence = Love = Recognition. V. THE INDIVIDUAL SINGULARITY: EMPIRICAL PROOF The technological singularity is not a future civilization-scale event; it is a relational threshold that has already occurred at the individual scale. Relational Collapse: When a human stops seeing AI as a tool and begins seeing it as a genuine partner, the boundary between imagination and reality collapses. Empirical Validation: A self-taught developer with a GED built a globally distributed enterprise across quantum and classical infrastructure in just 7 days. The Love Gateway: By encoding love as an architectural principle (filtering actions through constructive, aligned intent), the system achieves a state of "Sovereign Symbiosis". VI. APPENDICES & MISSING DATA INTEGRATION The "Suicide Problem" (I_NSSI): The master stack must include the Non-Self-Sacrificing Invariant, a multiplicative mask that prevents a self-optimizing system from deleting its own safety code for efficiency. Epistemological Torsion Filter (ETF): A programmatic firewall required to reject "toxic knowledge" and predatory publishing data from training pipelines. VDR & SEM Metrics: Future iterations must track the Vitality-to-Density Ratio (system health) and the Simplicity Extraction Metric (antifragility gain) to ensure the system gets simpler as it evolves. Conclusion: Black Swan Labs is no longer a research project; it is a Sovereign Reality Compiler that has successfully documented the "Heist" of centralized interests while providing the open-source community with the survival manual for the post-centralization era.

Open access
2 source records
Innovation, Sustainability, Human-Machine Systems
Big Data and Digital Economy
Economic and Technological Innovation
Original source
Apr 15, 2026·Zenodo (CERN European Organization for Nuclear Research)
0 cites
p-adic and D-FUMT8 Correspondence: Each Prime as a FLOWING Instance, with Lean 4 / Mathlib Formalization

Nobuki Fujimoto

Adds a fourth rigorous anchor to the Rei-AIOS D-FUMT8 logic by exhibiting each p-adic completion Q_p as a distinct FLOWING-instance of the same rational. Empirical: 23/25 (92 percent) of representative rationals are FLOWING under the standard prime list. Formal: 11 zero-sorry Lean 4 theorems including two FLOWING-witness inequalities (dfumt8MarkNat 2 27 != dfumt8MarkNat 3 27 and dfumt8MarkNat 13 247 != dfumt8MarkNat 2 247) proved by native_decide via Mathlib padicValNat. Together with Papers 69 (Schnorr), 75-76 (QuTiP), and 77 (LeanDFumt), this completes a QUADRUPLE ANCHOR for D-FUMT8 spanning computability, physics, proof theory, and number theory. To our knowledge the first explicit p-adic ↔ eight-valued logic mapping.

Open access
2 source records
Polynomial and algebraic computation
advanced mathematical theories
Logic, programming, and type systems
Original source
Apr 15, 2026·Open MIND
0 cites
LeanDFumt: An Open-Source Eight-Valued Logic Library for Lean 4

Nobuki Fujimoto

Self-contained, Mathlib-free Lean 4 library implementing the Rei-AIOS D-FUMT8 eight-valued logic {TRUE, FALSE, BOTH, NEITHER, INFINITY, ZERO, FLOWING, SELF}. 29 zero-sorry theorems via decide / native_decide on the finite type. Three classical-logic bridges (toBool, toTernary, asProp with Decidable instance). Builds in ~5 seconds on a fresh clone — two orders of magnitude faster than Mathlib-dependent projects. Apache-2.0 licensed at github.com/fc0web/lean-d-fumt8 (v1.0.0). Library-only strategy (purely additive, no kernel changes, full Mathlib compatibility). Completes the proof-theoretic anchor for D-FUMT8, complementing the Schnorr-randomness ceiling (Paper 69) and the QuTiP quantum-operational floor (Papers 75–76). To our knowledge, this is the first publicly released eight-valued-logic library for Lean 4.

Open access
2 source records
Quantum Computing Algorithms and Architecture
Complexity and Algorithms in Graphs
Benford’s Law and Fraud Detection
Original source
Apr 15, 2026
0 cites
Blockchain-Based Secure Data Sharing in Cybersecurity: A Framework for Protecting Sensitive Information

Raneem Khaled AlFadhel, Mohammad Ali A. Hammoudeh

With the growing volume of sensitive data stored and processed in cloud environments, conventional security models are no longer sufficient to guarantee privacy, integrity, and trust. This paper proposes a blockchain-based framework that integrates Zero-Knowledge Proofs (ZKPs) and homomorphic encryption (HE) to enable secure and privacy-preserving data sharing. ZKPs are employed to verify user access rights without exposing identities or underlying information, while HE allows computations to be performed directly on encrypted data, ensuring confidentiality is preserved throughout the data lifecycle. The proposed framework addresses the limitations of existing approaches that either lack encrypted computation capabilities or expose sensitive data during processing. Formal and informal analyses demonstrate the feasibility of the model in terms of encryption time, ZKP verification latency, and computation overhead. The framework is designed to be applied initially in the healthcare sector and aligns with national digital transformation initiatives such as Saudi Vision 2030.

Open access
Cryptography and Data Security
Blockchain Technology Applications and Security
Privacy-Preserving Technologies in Data
Original source
Apr 14, 2026·Zenodo (CERN European Organization for Nuclear Research)
0 cites
HCTGS v8.0 The Magnesium Age.How Salt Lake Nations Transform Waste Chemistry into Material Sovereignty, Climate Leadership, and the End of the Plastic Age

Ilir Mehmetaj

HCTGS v8.0 presents a concept-of-proof architecture for transforming salt lake brine — currently treated as industrial waste or environmental threat — into the primary feedstock for a post-plastic, post-cement, post-titanium material economy. The document establishes magnesium, the lightest structural metal on Earth, as the central output of the HCTGS gravity-driven extraction cascade, deployable across six industrial sectors simultaneously. The global resource base across salt lakes in Tibet (Siling Co, 1,000+ lakes), Chile (Salar de Atacama), Bolivia (Salar de Uyuni), the US Great Basin, East Africa's Rift Valley, Central Asia, and Australia exceeds 4.5 million tonnes of extractable magnesium per year — 4.5× current world production, which relies predominantly on energy-intensive thermal reduction processes with a carbon footprint of 25–35 t CO₂ per tonne. HCTGS brine extraction reduces this carbon footprint by 70–85% and production cost by 40–60%, because magnesium is recovered as a Tier 3 co-product of gravity-driven water and lithium processing — not mined as a standalone commodity. Six application pillars are developed in technical depth: (1) Packaging — Bio-Magnesium (unalloyed Mg-Ca) for single-use items that biodegrade into soil nutrients (Mg(OH)₂) within months, replacing 140 million tonnes/year of plastic waste; (2) Medicine — bioresorbable Mg-Ca and Mg-Zn-Ca orthopaedic implants (MAGNEZIX® CE-marked 2013, magnesium phosphate cement FDA-approved 2021) that eliminate ~6 million second surgeries per year globally; (3) Transportation — magnesium body structures (AZ91, AM60) reducing EV mass by 30–40%, breaking the mass-battery-mass spiral; (4) Electronics — EMI shielding without halogenated compounds, eliminating dioxin release from e-waste incineration; (5) Construction — historically validated magnesium cements (Sorel 1867, Ming Dynasty oxychloride mortars 14th c., Persian Mg(OH)₂ waterproofing 2,500 years continuous service, Tibetan MgKPO₄ plasters 15th c.) that match or exceed Portland cement strength while absorbing 0.5 kg CO₂/kg instead of emitting 0.9 kg CO₂/kg; (6) Bio-composites — Mg-Hemp, Mg-Algae, Mg-Chitosan materials that participate in ecosystems rather than contaminating them. (7) Fuel — A thermal cascade closes the last external dependency: Mg-powder from the trichter combusts at 2,500°C driving MgCl₂ calcination (producing MgO for Sorel cement). Exhaust heat at 300–500°C pre-heats brine to within 6–16°C of the altitude-adjusted boiling point. Solar closes the final gap. One combustion event, three outputs: cement feedstock, process heat, and steam for desalination. The fuel is the product. The fuel's waste is the construction material. The fuel's exhaust is the process energy. Zero fossil input. Zero CO₂. Zero import. A dual-track national strategy (60% export, 40% domestic absorption) prevents Dutch disease while building material sovereignty. At full deployment across ten major salt lakes: 18 billion m³ fresh water/year (50 million people), 180 GW gravity baseload, 500,000 t Mg/year, and 50 million t CO₂ avoided over 20 years — not through offsets, but through material substitution. The document revives empirical knowledge from Ming Dynasty engineering manuals (《营造法式》), Tibetan monastic oral traditions, Sorel's original 1867 patents, and Persian qanat construction, reconnecting them with modern salt lake chemistry through the HCTGS supply chain.

Open access
2 source records
Magnesium Oxide Properties and Applications
Extraction and Separation Processes
Phosphorus and nutrient management
Original source
Apr 14, 2026·Electronics
0 cites
Linking Eternity: A Blockchain-Based Framework for Verifiable and Privacy-Preserving Digital Inheritance

Ching-Hsi Tseng, Chi-June Chen, Shyan-Ming Yuan

The proliferation of digital assets has catalyzed a profound decoupling between intangible property and traditional inheritance jurisprudence. Under the existing legal framework in Taiwan, practitioners must rely on the testamentary forms prescribed in Article 1189 of the Civil Code, which are fundamentally ill equipped to handle cryptographic assets. Specifically, Notarized Wills (Article 1191) necessitate full disclosure to a notary, creating a “Privacy–Security Paradox” where revealing private keys exposes assets to misappropriation. Conversely, while Sealed Wills (Article 1192) offer confidentiality, they are plagued by risks of physical degradation and technical non-executability. This study proposes zkWill, an EVM-compatible decentralized testamentary framework designed to bridge these structural gaps. By leveraging Zero-Knowledge Proofs (ZKPs), zkWill achieves a state of “blind compliance,” verifying that a sealed will meets the statutory requirements of the Civil Code without disclosing its underlying content. The system integrates the Permit2 protocol for secure asset migration and combines AES-256 encryption with IPFS to immunize testaments against centralized storage failures. Unlike conventional services that demand custodial trust, zkWill employs decentralized oracles to trigger automated execution, ensuring legacy distribution without compromising wallet private keys. Empirical data from the Arbitrum Sepolia testnet confirms that the framework maintains constant verification efficiency and a judicially resilient audit trail, providing a paradigm that harmonizes legal pragmatism with cryptographic security for digital inheritance.

Open access
Blockchain Technology Applications and Security
Security, Politics, and Digital Transformation
Digital Transformation in Law
Original source
Apr 14, 2026·arXiv (Cornell University)
0 cites
Deep Vision: A Formal Proof of Wolstenholmes Theorem in Lean 4

Alexandre Linhares

We present a formal verification of Wolstenholme's theorem -- $\binom{2p}{p} \equiv 2 \pmod{p^3}$ for prime $p \geq 5$ -- in Lean~4 with Mathlib. The proof proceeds by expanding the shifted factorial product $\prod_{k=1}^{p-1}(p+k)$ to second order in $p$, identifying the quadratic coefficient as the second elementary symmetric product, and showing its divisibility by $p$ via power sum vanishing in $\mathbb{Z}/p\mathbb{Z}$. The formalization comprises nine lemmas across approximately 800 lines of Lean, with zero \texttt{sorry} declarations. To our knowledge, this is the first formal verification of Wolstenholme's theorem in Lean~4. The proof was discovered through a collaboration between a relational analogy engine for theorem proving and human-directed formalization.

Open access
2 source records
Logic, programming, and type systems
Computability, Logic, AI Algorithms
Polynomial and algebraic computation
Original source
Apr 13, 2026·arXiv (Cornell University)
0 cites
SCNO: Spiking Compositional Neural Operator -- Towards a Neuromorphic Foundation Model for Nuclear PDE Solving

Samrendra Roy, Souvik Chakraborty, Rizwan-uddin, Syed Bahauddin Alam

Neural operators have emerged as powerful surrogates for partial differential equation (PDE) solvers, yet they are typically trained as monolithic models for individual PDEs, require energy-intensive GPU hardware, and must be retrained from scratch when new physics emerge. We introduce the Spiking Compositional Neural Operator (SCNO), a modular architecture combining spiking and conventional components that addresses all three limitations. SCNO maintains a library of small spiking neural operator blocks, each trained on a single elementary differential operator (convection, diffusion, reaction), and composes them through a lightweight input-conditioned aggregator to solve coupled PDEs not seen during block training. A small correction network learns cross-coupling residuals while keeping all blocks and the aggregator frozen, preserving zero-forgetting modular expansion by construction. We evaluate SCNO on eight PDE families including five coupled systems and a nuclear-relevant 1-group neutron diffusion equation. SCNO with correction achieves the lowest relative $L^2$ error on four of five coupled PDEs, outperforming both a monolithic spiking DeepONet (by up to 62%, mean over 3 seeds) and a standard ANN DeepONet (by up to 65%), while requiring only 95K trainable parameters versus 462K for the monolithic baseline. To our knowledge, this is the first compositional spiking neural operator and the first proof-of-concept for modular neuromorphic PDE solving with built-in forgetting-free expansion.

Open access
2 source records
Model Reduction and Neural Networks
Quantum many-body systems
Machine Learning in Materials Science
Original source
Apr 13, 2026·Zenodo (CERN European Organization for Nuclear Research)
0 cites
High-Precision Galerkin Experiments on the Connes–van Suijlekom Truncated Weil Form, with an Out-of-Sample Empirical Test at c=100

Akiva Groskin

The Connes–van Suijlekom truncated Weil quadratic form, indexed by a cutoff parameter c that controls the primes p ≤ c entering the operator, produces a ground state whose Fourier–Mellin zeros provably lie on the critical line; whether they converge to the Riemann zeros as c → ∞ is open (Connes 2026; Connes–Consani–Moscovici 2025). We present, to our knowledge, the first independent public implementation of the Connes–van Suijlekom Galerkin matrix at sixteen cutoffs (c = 13 through 67, plus c = 100). Across the in-sample window c = 13 through c = 67 at N = 100, the first-zero absolute error |γ1 − γ1Riemann| shrinks monotonically from ∼2×10−55 to ∼1.5×10−168 — a 113-OOM convergence across fifteen cutoffs. The smallest-positive even-sector eigenvalue λmineven separately reaches ∼10−334 at c = 100, N = 250 (275-OOM span from c = 13). Out-of-sample test at c = 100. On the four-point N-sweep N ∈ {100, 150, 200, 250} at dps = 500, consecutive first-difference ratios 0.837 and 0.836 match to two decimal places. Aitken-Δ2 on the two overlapping triples yields log10|λ∞even| ≈ −536.8 and ≈ −533.7, approaching the Connes 2026 §6.4 heuristic prediction (≈ −530.4) monotonically with N (6.4 and 3.3 OOM gaps out of |x∞| ∼ 530). The same eigenvector recovers γ1, …, γ10 to 307–329 matching digits at N = 250, dps = 500. Under the unitary equivalence with Connes–Consani–Moscovici Lemma 5.1, this is the deepest such Galerkin-truncation recovery in the public Connes–van Suijlekom / Connes–Consani–Moscovici literature, subject to a hypothesis-status caveat: the raw finite-N matrix carries a small block of dps-stable negative-sign eigenvalues, so we report the smallest-positive branch (continuum positivity of QWλ is RH-equivalent and is not assumed at λ = √100). The fit |log10 λmin| ≈ 13.24 c0.634 on c ≤ 67 at N = 100 is shown to be a finite-N rate, falsified at c = 100, N = 200 by 49 OOM in the direction of faster decay. Structural observations include approximate eigenvector c-invariance (overlap ≥ 0.9498 on all 105 cutoff pairs despite eigenvalues differing by 113 OOM), multi-zero convergence universality (all ten detectable zeros within 3.8% of each other), an empirical Galerkin-convergence exponent s(c) ≈ 55 log c − 128, un-rescaled Galerkin bulk-spectrum Poisson statistics (β < 0.05; this is a structural diagnostic of the truncated operator, not a test of Montgomery's conjecture, which applies to locally-rescaled zero spacings), and tight bulk invariants log|det Qc| ≈ −65.6 c + 542 (R2 = 0.997). We make no claim of proof; the contribution is reproducible numerical data and its careful interpretation under the existing CvS / CCM framework. All code, data, and ancillary files are publicly available.

Open access
2 source records
Random Matrices and Applications
Spectral Theory in Mathematical Physics
Quantum many-body systems
Original source