Background and Gap Information: Positive, negative and hybrid external confirmation processes are the pillars of audit evidence as posed in the standard ISA 505, however the response rate is very low 48-72%, fraud is not detected 12-38% and there is an unresolvable conflict between assurance and data privacy. This âauditorâs dilemmaâ intensifies with cross-border transactions and tight data privacy regulations such as Iraqâs Personal Data Protection Law No. 10 of 2024. Although there are recent proposals based on blockchain or homomorphic encryption, none of them has presented a mathematically zero-knowledge, empirically verified, and regulatorily compliant confirmation protocol that seamlessly performs over heterogeneous ERP systems without leaking its underlying commercial data. Objective: We present the Decentralized Confirmation Matrix (DCM) - a game-changing evidence of audit protocol based on zero-knowledge succinct non-interactive arguments of knowledge (zk-SNARKs) to cryptographically prove a set of external transactions, while leaking only the fact that they are consistent (âvalid/invalidâ) together with a timestamp. The paper (1) details the DCM design, including its novel dual-nullifier and heterogeneous trust models; (2) presents an empirical comparison of DCM with traditional techniques based on authentic Iraqi state-owned enterprise (SOE) data; (3) scrutinizes DCM against Iraqi higher educational certification standards and Scopus Q1 repeatability requirements; and (4) delivers an open-source route-to-implementation (ZKCaaS). Methodology: We developed a complete DCM prototype using Circom 2.1.6 and SnarkJS over a permissioned blockchain sandbox (Iraqi National Blockchain Sandbox). 4We acquired genuine transaction logs (n=25,000+ confirmations) from three Iraqi SOEs: Northern Refineries Company (Baghdad), Basra Oil Terminal (Basra), and Iraqi Telecommunications Company (Erbil).A controlled field experiment with 45 Iraqi auditors (repeated measures, counterbalanced) was conducted to evaluate DCM vis-a-vis traditional positive and email-hybrid confirmations on response time, error rates, cost, auditor satisfaction (UTAUT2), and attack resilience. Results: DCM reduced average confirmation response time by 99.6% (to 0.05 days), attained a 100% response rate by automation, elevated fraud detection from traditional 62% to 97%, and brought in cost per confirmation (from 6% to 0.45%). Auditor satisfaction rated 4.6/5, and the dualânullifier scheme prevented 100% of replay and collusion attacks - a guarantee not found in any prior work. Audit risk (ISA 315) decreased by 93% (from 6% to 0.45%).Crossâplatform rollup between SAP and Oracle succeeded at 98%, solving a longâstanding interoperability ga. Conclusion: DCM is the first practical, privacy-preserving, and empirically superior external consistency checking protocol that satisfies ISA 500/505 while enabling âcryptographically sealed evidenceâ as a novel evidence type. The article is in line with the quality requirements of the Iraqi accreditation agency as well as Scopus Q1, which consider theoretical novelty, empirical rigour and openâsource replicability. We propose a strategic vision for 2025-2030 and an Autonomous Audit Agent (AAA) for full automation.
In the Internet of Vehicles (IoV), the large-scale deployment of smart vehicles has triggered new road traffic safety challenges. Particularly, existing vehicle accident report transmission schemes still face challenges such as privacy leakage, Single Point of Failure(SPOF), physical cloning attacks, and excessive computational overhead. To address these issues, this paper proposes a secure accident report transmission scheme that uses Non-Interactive Zero-Knowledge Proof (NIZKP) and Physically Unclonable Functions (PUF). This paper designs a decentralized authentication scheme for vehicle registration that prevents SPOF and privacy leakage. We also use the PUF to realize two-factor authentication login, which effectively resists physical cloning attacks. In addition, the authentication process uses NIZKP based on the Pedersen commitment to realize authentication for accident report coordination. At the end of the accident report coordination, it is passed into the blockchain for storage, realizing the secure transmission of accident reports. To reduce the storage as well as computation overhead, this paper uses a key derivation function to update the key. Finally, formal security analysis was conducted using the Real or Random (ROR) model and the ProVerif tool, the results prove that the proposed protocol meets security requirements. Comparing our proposed scheme with related schemes, the computational overhead of our V2V scheme is reduced by 42.4%, with higher security and lower communication overhead.
Open access
Vehicular Ad Hoc Networks (VANETs)
Physical Unclonable Functions (PUFs) and Hardware Security
Ch Sree Kumar, Jatindra Kumar Dash, K. Hemant Kumar Reddy
Blockchain-enabled healthcare infrastructures demand latency-aware, privacy-preserving, and scalable transaction management due to the stochastic and high-volume nature of clinical data processing in decentralized environments. In this study, we propose a blockchain-aware Modified M/M/C (Mo M/M/C) queueing framework specifically designed for NFT-enabled healthcare systems integrated with Zero-Knowledge Proof (ZKP)-based verification. Unlike classical queueing models that assume single-stage service, the proposed model incorporates a multi-stage transaction pipeline consisting of medical processing, NFT tokenization, ZKP verification, and blockchain validation. Accordingly, an effective service rate formulation and blockchain-adjusted arrival rate are analytically derived to capture cryptographic overhead, consensus latency, and smart contract execution delays within a unified stochastic framework. Patient records, prescriptions, and diagnostic data are securely encapsulated as NFTs to ensure immutability, traceability, and decentralized ownership, while ZKP protocols enable privacy-preserving authentication without exposing sensitive medical information. The model further integrates dynamic priority-aware scheduling and validation-aware utilization to optimize resource allocation under heterogeneous healthcare workloads. Extensive discrete-event simulations conducted over scalable transaction volumes (1,000â100,000) evaluate key performance metrics including throughput, average waiting time, system response time, and latency. The results demonstrate that the proposed Mo M/M/C framework significantly improves queue stability, reduces congestion, and enhances throughput compared to FIFO, LIFO, SIRO, and standard M/M/C models. Overall, the revised framework provides a mathematically grounded, cryptography-aware, and blockchain-consistent solution for secure and real-time healthcare transaction management
Febriana Nur Aini, Manda Fatimah Azaziah, Muhammada Rifki Iqbal Ghufron, Muhammad Dava Khoirur Roziqy ¡ 5 authors
Penyimpanan informasi sensitif pada aplikasi catatan digital menimbulkan tantangan terkait keamanan dan privasi data pengguna. Sebagian besar sistem penyimpanan konvensional masih memberikan akses terhadap data yang disimpan pada sisi backend, sehingga meningkatkan risiko kebocoran informasi apabila terjadi kompromi sistem. Penelitian ini bertujuan untuk merancang dan mengimplementasikan aplikasi web Secret Ink dengan mengintegrasikan algoritma Advanced Encryption Standard (AES) 256-bit dan prinsip Zero-Knowledge sebagai mekanisme perlindungan data. Metode penelitian yang digunakan meliputi analisis kebutuhan, perancangan arsitektur keamanan, implementasi sistem menggunakan teknologi berbasis JavaScript, serta pengujian fungsionalitas dan keamanan aplikasi. Hasil penelitian menunjukkan bahwa proses enkripsi dan dekripsi dapat dilakukan pada sisi pengguna, sementara backend hanya menerima dan menyimpan data dalam bentuk ciphertext. Pengujian keamanan juga menunjukkan bahwa sistem mampu memitigasi ancaman umum aplikasi web, seperti Cross-Site Request Forgery (CSRF), Cross-Site Scripting (XSS), dan SQL Injection. Dengan demikian, Secret Ink berhasil menyediakan mekanisme penyimpanan catatan digital yang mampu menjaga kerahasiaan dan privasi data pengguna melalui penerapan AES-256 dan arsitektur Zero-Knowledge
Foundational agent interoperability standards, notably the Agent-to-Agent (A2A) protocol and the Model Context Protocol (MCP), have advanced multi-agent system communication, and complementary identity frameworks leveraging W3C Decentralised Identifiers (DIDs) and Verifiable Credentials (VCs) provide cryptographic agent authentication. However, no existing protocol supports content-based semantic routing of agent payloads across organisational trust boundaries without requiring the routing intermediary to decrypt the payload, which is a hard constraint in compliance-sensitive environments governed by GDPR, HIPAA, and MiFID II. We propose SS-ZKR, a three-mechanism privacy-preserving routing protocol designed as a complementary layer atop A2A/MCP. Mechanism I introduces blind routing via differentially private semantic intent vectors cryptographically bound to zero-knowledge proofs of payload-schema consistency. Mechanism II offers vector-weighted adaptive payload sanitisation with formal (epsilon, delta)-differential privacy for numerical fields and heuristic semantic aggregation for textual fields. Mechanism III presents a spatial-to-cryptographic policy compiler that translates visually defined trust-zone topologies into deterministic zero-knowledge access circuits. We provide a formal threat model, analyse information leakage bounds of intent vectors, present pseudocode for all three mechanisms, and give analytical complexity comparisons against TEE-based and homomorphic encryption-based routing baselines. SS-ZKR lets enterprises in financial services, healthcare, and defence orchestrate heterogeneous AI agents across regulatory boundaries without exposing proprietary data to routing infrastructure.
This document serves as the official Executive Summary and reflexive analysis of the BeTrueCore decentralized collective intelligence protocol (Modular System v1.2). The text provides a rigorous interdisciplinary overview at the intersection of Web3 architecture, Zero-Knowledge cryptography (ZK-Proofs, MACI), quantum metaphors, and the theory of scale-invariant historical singularity. Divided into six core chapters, it details the ontology, historical context, empirical analogies (including the Princeton GCP), philosophical genesis (Wabi-Sabi, Kintsugi), and the mathematical framework (Wiener differential equation) of the temporal isolation circuit.
" Overview This is a revised and extended edition of the original Leedskalnin Equation paper (Zenodo, March 2026). The original work established four independent derivations of the CTF base frequency f0=53e=10373/72=144.06944âŚf0=53e=10373/72=144.06944⌠Hz, the primeâswapping control test identifying prime 53 as unique, the microâgap δ=f0â53eâ0.0005075δ=f0â53eâ0.0005075 Hz, and a 12âemitter dodecahedral resonance simulation with watch logic and burst envelope. Those results remain unchanged and are not retracted. The new contribution of this revision is the full integration of those results into the unified Prime Lattice Coherence Theorem (PLCT) â a mathematical framework built on the 2aĂ3b prime lattice, the LockâOut Theorem, and the Partition Theorem. The lattice was developed independently after the original paper and is now applied retroactively to give every number in the original work an axiomâlevel home. No numbers change; two results are promoted from observations to theorems; several new structural arithmetic facts are added. Key New Results (Not in Original) Microâgap as a theorem, not an observationThe LockâOut Theorem proves that f0=10373/72f0=10373/72 (denominator 72=23Ă3272=23Ă32) is Tierâ1 (primes {2,3}{2,3}) and therefore maintains zero accumulated drift D(x,B)=0D(x,B)=0 at all scales. The expression 53e53e introduces the Tierâ4 prime 53 (outside {2,3,5}{2,3,5}), which necessarily produces unbounded logarithmic drift. A Tierâ1 rational cannot equal a Tierâ4 transcendental; hence δ>0δ>0 is mathematically forced. The gap is no longer merely a âphysical toleranceâ â it is a structural necessity of the prime lattice. Triple lattice lock of prime 53Prime 53 is shown to be the unique prime satisfying three independent lattice coordinates simultaneously: Tierâ4 (prime set {53}{53} outside {2,3,5,7}{2,3,5,7}) Temporal zone (53 mod 9=8â{2,5,8}53mod9=8â{2,5,8}) Prime index P16P16 where 16=2416=24 is exactly the exponent of prime 2 in the spatial harmonic Î=144=24Ă32Î=144=24Ă32.The original primeâswapping control test (primes 41â71) is reinterpreted as the empirical shadow of this triple lock â explaining why 53 is unique and why all other primes miss the fractional signature 1/(Pe)â0.006941/(Pe)â0.00694. Inscription as PLCT tier map Baseâ60 = 22Ă3Ă522Ă3Ă5 â the smallest positive integer whose prime set is exactly {2,3,5}{2,3,5} (Tierâ2). The Sumerian sexagesimal system is therefore arithmetic at the coherence boundary of the lattice. Coefficients 28:15:53:15 from the decomposition 6,105,195=28Ă603+15Ă602+53Ă60+156,105,195=28Ă603+15Ă602+53Ă60+15 map to tiers T3:T2:T4:T2 and zones Hard Wall â Spine â Temporal â Spine. This sequence traces the LockâOut Theorem path from the Hard Wall prime P4=7P4=7 through the Tierâ2 gateway to the Temporal lock prime 53. Prime mirror 71297129 satisfies 7129 mod 144=737129mod144=73, and 7373 is one of the six Partition Theorem universal lock values L={0,1,9,64,73,81}L={0,1,9,64,73,81}. Primary inscription number 6,105,1956,105,195 is a Spine element: mod 9=0mod9=0 (Spine zone), digital root = 9, and mod 144=27=33mod144=27=33 (pure Tierâ1). Simulation parameters as Tierâ1The burst envelope 99 ON / 2727 OFF cycles are 3232 and 3333; their sum is 36=22Ă3236=22Ă32, and 36Ă4=144=Î36Ă4=144=Î. The ratio 9:27=1:3=P1:P29:27=1:3=P1:P2 â the ratio of the two generators of the {2,3}{2,3} lattice. The duty cycle 1/4=2â21/4=2â2 is pure Tierâ1. Prime mirror as Tierâ1/Tierâ2 ratio71292971â14460=24Ă3222Ă3Ă5=12529717129â60144=22Ă3Ă524Ă32=512. The mirror approximates the ratio of the spatial harmonic (Tierâ1) to the smallest Tierâ2 base. What Is New vs. What Is Unchanged Unchanged: The four independent derivations of f0f0 (recursive lock, constants survey, baseâ60 decomposition, prime mirror), the primeâswapping control test data, the 12âemitter simulation results (mean gâ0.66gâ0.66, min gâ0.21gâ0.21), the hardware specification, and the experimental protocol. The caveat that the inscription mapping is hypothesisâgenerating, not proof of intentional design, is preserved. New (this revision): The microâgap theorem, triple lock theorem, baseâ60 tier identification, coefficient tier/zone map, lock value verification for 7129, Spine element verification for 6105195, burst envelope tier analysis, and the prime mirror tier interpretation. Also three open research directions (coefficient 28 and fineâstructure screening integer, Hard WallâHard Wall prime mirror structure, and the Tierâ2ĂTierâ4 factorization of 6105195). Scope and Honesty The paper is explicit about what is proved (theorems marked as such) versus what is observed (numerical coincidences that await explanation) versus what is conjectural (the open research directions). No claim is made that the inscription was designed with knowledge of the prime lattice; the mapping shows structural consistency only. No claim of antigravity, time dilation, or realâworld load reduction is made â the simulation remains a toy model with a hypothetical Heaviside coupling. Reproducibility All numerical results are verified with a Python script (included in the Appendix) that uses only standard libraries (math, fractions). The script computes the microâgap, verifies the triple lock, checks prime sets, computes residues mod 9 and mod 144, and confirms the burst envelope arithmetic. Runtime < 5 seconds.
This document establishes the ontological status of mathematics within the Energy-Efficiency Theory (EET) framework. Mathematics is not an independent reality standing alongside the physical world, not a pure mental construction, not an arbitrary symbolic game, not an eternal Platonic entity. Mathematics is the \textbf{structural space} within the Rule-Causal domain --- a sub-model generated by the application of the modeling rules (causality, logic, the seven operations of the Generative Grammar, MEER maximization). It constructs stably invariant formal structures under the transformational grammar provided by logic, and is continuously revised and extended in interaction with physical cognitive models. \textbf{Core Constitutional Position}: Mathematics is a sub-model generated by the modeling rules. It does not define new irreducible modeling rules; it describes the structural space that the constitutional rules of causality and logic generate. Its constitutional status is \textbf{Satellite Paper (SAT)} --- dependent on and parasitic upon the constitutional mother texts (Causality v1.7 and Logic v1.2). The Ontology of Mathematics belongs to the Cognitive Constitution. Its employment of physical-constitutional concepts (cognitive heat engine, Ben-Shi dynamics) constitutes instrumental application by a cognitive model, not constitutional dependence. \textbf{The Ultimate Engine --- Causal Arbitrage}: The pursuit of mathematical necessity is the maximal-MEER form of causal arbitrage in the virtual domain. By stipulating axioms and derivation rules (Presupposition of Cause), the cognitive system converts the high-cost, ongoing verification of physical causality into the low-cost, one-time application of symbolic consistency. Mathematical structures, once constructed, can be invoked at near-zero marginal cost to generate predictions about physical systems---the ultimate arbitrage return: temporal buffer maximized, response energy minimized. \textbf{Core Constitutional Contribution --- Completeness Feedback}: Mathematics possesses an inherent drive toward systematization. This drive leads it to systematically probe the limits of the modeling rules themselves---in consistency, completeness, decidability, and categoricity---and to feed these limits back to the rule-makers. This \textbf{Completeness Feedback} is the endogenous engine of the modeling rules' self-refinement. Mathematics is thus not merely the passive product of the modeling rules; it is the ``constitutional mirror''---the only device through which the modeling rules can see their own limitations. \textbf{Core Insight --- Rhetoric of Rupture, Operational Continuity}: What the mathematical community has historically narrated as ``crises'' were, from the constitutional perspective of the mathematics mother model, \textbf{Divides}---internal symmetric divisions that produced new structural spaces while preserving the old ones. The rupture was rhetorical; the operation was continuous. The mathematical mother model never contracts, only expands (the Principle of Elastic Expansion). \textbf{Mathematics as a Language/Symbol Protocol}: Mathematics occupies the limit endpoint of the parameter-sharing / trigger-precision trade-off (Language v1.0). It sacrifices parameter-sharing---accepting that only a tiny fraction of the population can decode its signals---to achieve near-perfect trigger precision and cross-generational transmission fidelity. Mathematical symbols are second-order externalizations: they refer not to perceptual objects but to operations on already-established distinctions. Mathematical texts are frozen operation sequences---encoded instructions for re-executing cognitive operations, not passive records of results. The decoding cost of mathematical protocol is not significantly lower than its encoding cost---mathematical knowledge cannot ``diffuse'' but must be rebuilt by each individual through the Conscious Self's active re-execution of the encoded operations. \textbf{Mathematics as a Cognitive Heat Engine}: The mathematical system operates as a cognitive heat engine (Xu-Shi v3.1) governed by the four universal laws of Ben-Shi dynamics (Ben-Shi v3.0). New axiom stipulation provides the high-Xu heat source; theorem Encapsulation is the work; encapsulated theorems form the low-Xu heat sink. The system's capacity for flexible oscillation between exploration and consolidation monotonically contracts over its lifetime (Ben-Shi Irreversibility), and its metacognitive precision decays with constraint accumulation (XQ Decay Law). Structure pathology---the accumulation of formally valid but low-MEER structures---complements the grammar pathology of logic. \textbf{Mathematical Intuition, Aesthetics, and Genius}: Platonic intuition is the phenomenological correlate of Algorithmic Submersion---Divide and Encapsulate operations hardened to invisibility through repeated successful application. Mathematical elegance is the Emotional Self's direct phenomenological readout of MEER: $\mathrm{Elegance}(P) = \text{structurally necessary conclusions} / (\text{derivation steps} \times \text{axioms and lemmas invoked})$. Mathematical genius is the precise synchronization of the Automatic Self (submerged intuitions), Emotional Self (aesthetic navigation of MEER), and Conscious Self (explicit proof audit). \textbf{Unified Resolution of Six Major Problems}:\begin{enumerate}[label=(\roman*)] \item Wigner's problem: the effectiveness of mathematics comes from joint evolution---physical and mathematical cognition share the same underlying modeling grammar and co-evolve in interaction with real space; \item Benacerraf's problem: dissolved, not resolved---mathematical cognition requires no cross-domain channel because it shares the same operational grammar with physical cognition; \item The fragmentation of foundations: set theory, category theory, and homotopy type theory are different schemes of the Presupposition of Cause, each valid within its own Root Cut boundary; \item Undecidability: the ``charter of blindspots'' of the modeling rules---the constitutional boundary of what any finite formal system can determine; \item Stratified effectiveness: the applicability of mathematics is stratified because causal compression itself is stratified; \item Platonic intuition: the first-person experience of hardened Divides---operations submerged to invisibility perceived as eternal entities.\end{enumerate} The document establishes the complete interfaces between mathematics and the EET constitutional system, articulates its own constitutional boundaries and meltdown conditions, and provides the systematic framework for understanding mathematics as both the product of the modeling rules and the driver of their self-refinement. {Keywords}: Ontology of mathematics; Rule-Causal domain; structural space; Presupposition of Cause; joint evolution; completeness feedback; causal arbitrage; Wigner's problem; MEER; virtual domain; encapsulation network; rhetoric of rupture; operational continuity; structure pathology; mathematical intuition; mathematical aesthetics; mathematical protocol; parameter-sharing / trigger-precision trade-off; frozen operation sequences; decoding cost asymmetry; elegance as cognitive operational efficiency; cognitive heat engine; Energy-Efficiency Theory
Abstract Some truths are hard to discover and easy to verify. A factorization, once found, can be checked quickly. A proof, once written, can often be verified more easily than it was discovered. A biological intervention, once stabilized, can look retrospectively obvious even though the admissible functional corridor was narrow and difficult to locate in advance. This paper examines that asymmetry. Its central claim is that generation and verification are structurally different tasks, and that the difference is often governed by a prior regime. Verification presupposes that the object being checked, the property being checked, and the admissible transformation or witness relation have already been sufficiently stabilized. Where those conditions are absent, âverificationâ can become shallow, local, or misapplied. Where they are present, an object that was difficult to find may become cheap to certify once presented. The paper does not claim to solve discovery in general, reduce all domains to one formalism, or extend the formal identity-persistence theorem. It is a companion argument inside the broader identity-persistence program. Its narrower aim is to show that many cases of retrospective obviousness arise when a lawful corridor is narrow in search but cheap in verification once the regime and witness relation are in place. The result is a regime-first account of discovery asymmetry across formal proof, cryptography, zero-knowledge certification, biological persistence, and regime-bound computational search.
Large-language-model (LLM) inference is increasingly concentrated in dedicated GPU data centres and closed API platforms, raising barriers for institutions that want to run, study, or contribute to AI infrastructure. We argue that democratizing inference requires an architecture in which smaller organizations can participate as operators, builders, and researchers rather than only as customers. We propose OpenPrism Network, an open, UMA-first distributed inference architecture in which transformer layers are statically owned by nodes so that weights remain resident and only activations transit the network; a blockchain layer is restricted to settlement, reputation, and payment and never to compute; output integrity is established by multi-node redundancy with tolerance-banded fingerprinting rather than zero-knowledge proofs; and routing is locality-aware, keeping inference within metro-area clusters. The network is explicitly scoped to batch- and throughput-oriented, latency-tolerant workloads. We describe two deployment models: a distributed mesh harvesting idle institutional capacity, and a purpose-built UMA micro data center deployable by resource-constrained organizations as a sovereign inference facility. We also describe an open participation model in which node operators, runtime implementers, benchmark maintainers, and application integrators can contribute through published interfaces and open-source reference components. This is a position and architecture paper: we claim no original experimental results, and all quantitative figures are drawn from publicly available benchmarks and published specifications, cited explicitly. We report performance per watt honestly, including the threefold cost of consensus, and find that UMA nodes lose on operational efficiency against batched data-centre GPUs in the scoped regime; the architecture's advantage is therefore established on capital in the harvested-capacity model, participation, and data sovereignty, while total cost of ownership for the purpose-built micro data center is mixed and strongly pricing-regime dependent, not universally favorable. We frame two problems as genuinely unsolved: a consensus protocol for ML output verification under floating-point non-determinism, and a dynamic layer-assignment protocol that rebalances ownership as nodes join and leave without full weight redistribution. We also state a concrete validation roadmap, including prototype scope, baselines, and evaluation metrics.
Quantum computing poses significant challenges to traditional zero-knowledge proof schemes based on number-theoretic assumptions. As a result, code-based cryptography has attracted increasing attention for its resistance against quantum computing. In this paper, we study the Rank Syndrome Decoding problem (RSD) and investigate its ZK proof formulation within the MPC-in-the-Head framework. To prove the possession of a secret witness, we reformulate the secret witness as a mixed-field matrix multiplication preserving the rank constraint, and then obtain a representation that aligns naturally with the local-view paradigm of MPC-in-the-Head. Utilizing this value-to-calculation technique, we introduce the RSD relation into a ZKBoo-style (2, 3)-secret-sharing MPC-in-the-Head framework and obtain an RSD-based zero-knowledge proof scheme via mixed-field secret sharing. The resulting scheme reduces the proof size relative to generic formulations while preserving completeness, soundness, and zero-knowledge for the interactive protocol. The FiatâShamir non-interactive extension is analyzed only in the classical random oracle model; we do not claim QROM security for this variant.
Why are mathematical conjecturesâthe Riemann Hypothesis, the Kakeya Conjecture, P vs NPâso extraordinarily difficult to solve? For centuries, countless mathematicians have tried to dismantle them using âmanual deductionâ, only to hit a wall. The author argues that the root cause is: these conjectures are inherently not âmanualâ but âautomaticâ. Behind them lies the same dynamical structureâthe selfâorganising evolution of an information field. Traditional mathematical tools attempt to capture a dynamic, closedâloop feedback process with static logical chains, much like trying to drive an automatic car with a manual gearbox. This paper proposes a new crossâdisciplinary framework: Information Dynamics. Its core is the generalised GinzburgâLandau equation, whose four operations (diffusion, antiâdiffusion, nonlinear compression, logarithmic potential) form the atomic instruction set of universal selfâorganisation. By faithfully embedding this equation into the category of nonlinear automatic control, we translate the three great conjectures into standard controlâtheoretic properties: Riemann Hypothesis â passivity (positive realness) of a control system; Kakeya Conjecture â zero measure of the reachable set; P vs NP â polynomial stabilisability. Significance for Physical AI:This work not only provides a new language for mathematical conjectures, but also directly gives birth to a new paradigm: Physical AI. Traditional AI (including deep learning) requires massive labelled data and backpropagationâit is âmanual drivingâ. Physical AI, in contrast, lets the information field evolve autonomously under the GL equation toward a target state, without any trainingâit is âautonomous drivingâ. Prototype experiments, such as the prime density generator, the fiveâdimensional singleâpoint Kakeya set, and linearâtime DNA assembly, have already validated the feasibility of this paradigm. Physical AI promises to become a general problem solver, directly handling images, video, sequences, and beyond, initiating a revolution from âcomputationâ to âgenerationâ. Traditional algorithms adopt a search paradigm, often with exponential complexity. Physical AI provides a control paradigm: encode the problemâs state space as an initial distribution of the information field, then let the GL equation automatically evolve as a closedâloop feedback system towards a steady state. Information Dynamics defines the physical dynamics of information â that is, how the information field itself, as a physical entity, driven by specific laws (the generalized GinzburgâLandau equation), spontaneously evolves from disorder to order, generating complex patterns, structures, and knowledge. It answers the question: How can orderly structures and mathematical truths emerge from the quantum vacuum? This paper is not a final proof, but a research programme that can be made rigorous. All assumptions (HilbertâPĂłlya conjecture, existence of a continuous limit, etc.) are explicitly stated. Code and experimental data:The numerical experiments (prime density generation, fiveâdimensional Kakeya set, DNA assembly) are distributed across several GitHub repositories of the author: Riemann Hypothesis informationâdynamics proof: https://github.com/hkaiopen/Riemann-ID Kakeya set GL construction: https://github.com/hkaiopen/Kakeya-ID DNA assembly: https://github.com/hkaiopen/ComputationalBiology-ID Because the code is scattered across multiple actively developed subâprojects, no single archive is provided on Zenodo. Please visit the links above for the latest versions.
Abstract As AI agents evolve into autonomous economic actors, verifiable and legally binding identity frameworks become critical. This paper presents Ricardian-TEA , a novel architecture combining Triple-Entry Accounting (TEA), Ricardian Contracts, and Distributed Ledger Technology to assign âLegal-Technical Identitiesâ to AI agents. We provide rigorous mathematical foundations: a Ricardian-TEA Integrity Theorem proving that constraint enforcement, non-disputability, and identity binding hold with overwhelming probability under standard cryptographic assumptions, and a Cyber-Chama Convergence Proposition characterising reputation-based trust dynamics. The framework ensures GDPR compliance via Zero-Knowledge Architecture and Crypto-Shredding. Proof-of-concept implementations on Ethereum Sepolia and Bitcoin SV testnets demonstrate chain-agnostic applicability, achieving at worst 1.4 s latency per transaction while maintaining 100% auditability of AI transactions.
Background Cross-border credit recognition in Sino-Foreign Cooperative Education (SFCE) suffers from data fragmentation, regulatory conflicts (e.g., GDPR vs. Chinaâs Data Security Law), and low efficiency. Objective This paper proposes ZkHybridChain, a dual-layer blockchain credit bank (BCB) framework to resolve the privacy-compliance-efficiency trilemma. Methods The hybrid architecture integrates Polygon zkEVM (public credential hashing) and Hyperledger Fabric (private raw data storage). Zero-Knowledge Proofs (ZKP) and three-tiered smart contracts enable automated credit conversion (ECTSâCNQF) and privacy-preserving verification. Results Experiments on 10,000 SFCE records show 58% efficiency gain (full lifecycle from âź1,200 s to &lt;9 s), cross-border latency &lt;9 s, throughput up to 1,620 TPS, and ZKP verification latency 135 ms (93.7% success rate). Conclusion ZkHybridChain provides a scalable, GDPR/DSL-compliant solution for global education trust networks. Future work includes post-quantum cryptography and lightweight client protocols.
As autonomous driving technology advances towards Level 4 and 5, virtual simulation has become an indispensable tool for safety validation. However, a critical ''trust gap'' exists between developers and regulators; submitting raw simulation logs poses risks of data tampering (integrity issues) and intellectual property leakage (privacy issues). To address this, we propose ZK-V, a universal, privacy-preserving verification framework designed to interface with various autonomous driving simulators. By leveraging Zero-Knowledge Proofs and blockchain technology, ZK-V allows a Prover to cryptographically demonstrate that a simulation run adhered to specific safety constraints such as collision avoidance and speed limits without revealing the underlying telemetry data. This paper outlines the simulation-agnostic system architecture and constraint logic, offering a scalable solution for decentralized, trust-free certification in the Web 4.0 mobility era.
The Manufacturer Usage Description (MUD) standard enables enforcement of network restrictions for IoT devices based on their expected network traffic, as specified by manufacturers in an online MUD file. Devices advertise a URL pointing to this file, yet the standard does not define how to securely bind the issuing device to its profile. As a result, malicious devices can manipulate network policy enforcement by advertising valid URLs referencing genuine MUD profiles, but not intended for that device. Although MUD defines a certificate-based secure issuance method, current deployments rely on the insecure DHCP-based extension due to simpler integration. Existing solutions either depend on Public Key Infrastructure (PKI), break standard compliance, require excessive active manufacturer involvement, or overlook secure profile updates. In this paper, we present FIDEM, a standard-compliant framework for securing DHCP-based MUD URL issuance. FIDEM provides cryptographic binding between IoT devices and their MUD profiles by leveraging Zero-Knowledge-Proof authentication, eliminating PKI reliance, minimizing manufacturers' involvement, and supporting secure profile updates. Formal analysis shows that FIDEM withstands stronger adversaries than in prior work, including supply-chain compromise and attacks using legitimate devices as cryptographic oracles. Our real-world evaluation on two reference constrained devices (ESP32-S3 and ESP32-C6) demonstrates minimal overhead compared to standard DHCP (approximately 5ms and 20mJ) and significant improvements over certificate-based benchmarks (approximately x20 faster, and 35% less energy).
Shiho Kim, Ho Suk, Roberto Di Pietro, Davor SvetinoviÄ Âˇ 7 authors
ZABAPAD (Zero-knowledge proof And Blockchain for WEB 4.0: Advancing the Post-quantum And Decentralized Era) is a workshop focusing on zero-knowledge technologies, blockchain infrastructure, and post-quantum readiness for the emerging Web 4.0 ecosystem. This workshop emphasizes real-world deployments, empirical measurements, and interoperability across Web and non-Web domains. In particular, ZABAPAD explores the convergence of AIoT and ZKPâredefining identity and trust models beyond SIM in mobile networks, IP in Web 2.0, and NFT in Web 3.0. As AIoT systems evolve toward decentralized, post-quantum infrastructures, ZKPbased authentication and AIoT SIM functionalities are emerging as key enablers of secure, privacy-preserving, and verifiable connectivity among intelligent devices, vehicles, and edge services. This theme extends to ZKML, Layer-2 proving/verification, TEE+ZK integration for verifiable compute, and post-quantum migration of identities, wallets, ledgers, and protocols. Expected outcomes include: (1) a practitioner-oriented adoption playbook, (2) an interoperability and standards checklist, (3) a curated set of reproducible benchmarks and datasets, and (4) a catalog of failure modes and mitigations for domains such as finance, mobility, healthcare, AIoT, public services, supply chain, and AI/ML. ZABAPAD complements the Web Conference and Web 4.0 communities by uniting global researchers and developers to chart actionable, trustworthy pathways toward the post-quantum, decentralized, and intelligent Internet.
The proliferation of centralized carrier-based authentication systems has exposed critical vulnerabilities in the preservation of privacy and personal data protection. Current implementations in Korea, such as PASS and KakaoTalk identity services, rely on centralized architectures that create single points of failure and require excessive disclosure of personal information. The large-scale security breach of SK Telecom's USIM infrastructure in 2025, affecting 23 million subscribers, highlights the urgent need for a paradigm shift in identity authentication.?This paper proposes a decentralized identity authentication system leveraging W3C Decentralized Identifiers (DIDs) and Verifiable Credentials (VCs), combined with Zero-Knowledge Proofs (ZKPs). Our framework integrates Schnorr signatures with Sigma-protocol-based ZKPs to enable privacy-preserving authentication without revealing private keys. A three-layer architectureâcomprising cryptographic, identity, and credential layersâensures strong cryptographic guarantees based on the discrete logarithm problem over the secp256k1 curve, while eliminating reliance on centralized infrastructure. Performance evaluation shows that signature generation occurs in under 10 ms and verification in under 15 ms, meeting real-time authentication requirements while delivering formal privacy guarantees that are absent in conventional systems.
As quantum computing moves to a cloud-based service model, a privacyâutility dilemma arises: effective Quantum Error Mitigation (QEM) requires circuit visibility, yet circuits and noise models are often proprietary. We propose Blind-QEM, a privacy-preserving framework that enables outsourced mitigation without revealing circuit topology. Using Zero-Knowledge Proofs (ZKPs) and a receipt-based binding mechanism anchored by QPU-signed execution logs, Blind-QEM verifies policy compliance and cryptographically links results to committed circuits. This allows Service Providers to perform global incoherent noise cancellation and readout mitigation using only verified aggregate statistics, ensuring mutual protection of user IP and SP models.
Zero-knowledge proofs (ZKPs) play a critical role in mitigating modern digital threats by enabling verification without disclosure, a key requirement for secure computation in adversarial environments. Among existing constructions, zk-SNARKs and zk-STARKs represent two dominant paradigms with contrasting security, trust, and performance characteristics. While their theoretical foundations are well studied, practical performance under real-world conditions remains less understood. In this work, we present a systematic, implementation-level comparison of zk-SNARKs (Groth16) and zk-STARKs using publicly available reference implementations on a consumer-grade ARM platform. Our empirical evaluation covers proof generation time, verification latency, proof size, and CPU profiling. Results show that zk-SNARKs generate proofs 68x faster with 123x smaller proof size, but verify slower and require trusted setup, whereas zk-STARKs, despite larger proofs and slower generation, verify faster and remain transparent and post-quantum secure. Profiling further identifies distinct computational bottlenecks across the two systems, underscoring how execution models and implementation details significantly affect real-world performance. These findings provide actionable insights for developers, protocol designers, and researchers in selecting and optimizing proof systems for applications such as privacy-preserving transactions, verifiable computation, and scalable rollups.
This document proposes integrative principles that articulate fully established and validated approachesâsuch as ethnobotany, One Health, circular bioeconomy, TRL, and Access and Benefit-Sharingâinto an integrative model that shifts bioprospecting from a purely extractive model centered on the pharmaceutical industry to a more human-centered, circular, and biocultural paradigm. Through a historical analysis of the generations of bioprospecting (from 0.0 to 4.0), this work theorizes that technological advancement has paradoxically contributed to epistemic injustice. The proposed 5.0 framework integrates social validation tools and introduces the Epistemic Gap Score (EGS) as an exploratory heuristic tool that allows for visualizing the divergence or cohesion of bioprospecting a plant resource and the recognition of ancestral knowledge in a more humanistic manner. Through preliminary proof-of-concept, this study demonstrates the practical utility of the EGS for prioritizing plant species for bioprospecting, ensuring that the valorization of underutilized plant resources produces a tangible âepistemic returnâ and thereby promotes community autonomy and multisectoral benefits across the food, energy, and health systems. By focusing on zero-waste cycles and social reciprocity, Bioprospecting 5.0 reestablishes the role of plant resources as essential components of sustainable global development and ethical scientific practice.
Open access
Bioeconomy and Sustainability Development
Environmental and Cultural Studies in Latin America and Beyond
Agriculture Sustainability and Environmental Impact
Electronic voting requires the simultaneous admission of only legitimate participants, ballot uniqueness, vote confidentiality, storage integrity, and result verifiability. Blockchain alone does not solve these problems, since ledger immutability does not guarantee anonymity, ballot correctness, or reduced trust concentration. The purpose of this work is to develop a parameterizable research framework for electronic voting scenarios with enhanced cryptographic protection, allowing the security level to be varied according to the requirements of a voting scenario. The main contribution of the work is a parameterizable research architecture for composing and experimentally comparing electronic voting configurations with different security and computational profiles. The cryptographic and audit mechanisms integrated into this architecture include blind-signature-based anonymous authorization, encrypted ballot submission, blockchain-style audit, receipt verification, homomorphic tally publication, and threshold-supported tally artifacts. These mechanisms are not proposed as new cryptographic primitives; rather, they are integrated into a reproducible prototype to study how their combination affects verifiability, privacy support, auditability, and computational cost. Compared with basic blockchain-based voting prototypes, this architecture explicitly separates security, privacy, and verifiability profiles and makes their computational cost observable. The implemented prototype is used as an experimental platform for analyzing supported security properties, threat modeling, and computational cost estimation. The results show that authentication, anonymous token issuance, and receipt verification maintain an almost constant cost at the studied scale, while the main cryptographic burden is associated with encrypted ballot submission and threshold-supported tally publication. The scientific novelty of the work lies in constructing a parameterizable architecture that integrates several cryptographic mechanisms and a blockchain audit layer into one reproducible research prototype. At the same time, the proposed approach retains prototype-level limitations associated with the absence of a full zero-knowledge proof stack, independently deployed threshold authorities, and coercion-resistance mechanisms.
Putri Anggia, Aisyah Ajeng Putri Riyanto, Muhammad Fathi
The rapid growth of cryptocurrencies is reshaping the global financial landscape, challenging traditional systems of taxation and regulation. This article examines the complex interplay between cryptocurrency anonymity, legal frameworks, and the pursuit of international tax justice. Using normative legal research with a descriptive approach, this article examined the challenges posed by cryptocurrency adoption in taxation policies. The findings revealed that while blockchain technology enhances transparency and decentralisation, the anonymity features of digital assets create risks of tax evasion and illicit financial flows. Addressing these issues requires integrated efforts among international regulatory frameworks, such as the OECD's CARF and FATF's Travel Rule alongside domestic reforms like Indonesia's HPP Law and the EU's DAC8. Inclusive governance that empowers developing countries and the constitutional grounding of tax justice principles are essential to strike a balance between individual privacy and collective fiscal responsibility. This multi-layered approach is critical to ensuring cryptocurrencies serve as instruments of innovation rather than tools for inequality. Future research should focus on empirical assessments of compliance costs, enforcement effectiveness across borders, and the development of privacy-preserving technologies, such as zero-knowledge proofs, to enable proportional and fair regulation globally.
Electronic voting systems are promised to be faster and have less operational overhead, but most implementations remain characterized by centralization, low auditability and user-paid transaction fees and lack of privacy. The software engineering framework to design, implement and validate a secure blockchain-based e-voting system that will overcome these practical constraints is presented in this paper. The system combines identity-based voter registration, guaranteed by smart contracts, election management, gasless voting route, and a privacy-conscious architecture that includes a direction of zero-knowledge proofs to cast confidential votes. It was tested on the Polygon Amoy test network with Solidity smart contracts, a wallet registry linked to a NIC, and a workflow voter and administrator web application. The analysis consisted of gas benchmarking, contract optimization as well as a usability test with 50 participants. Findings indicate that optimized election creation reduced average gas consumption from 726,422 to 653,344 and the paymaster path increased total gas per vote to 156897 per vote although this left the user with no gas cost. The results of usability suggest the overall moderate acceptance with the mean scores of 3.16 to 3.40 in understanding, easy to use, trust, and satisfaction, and worse results among those with zero blockchain familiarity. It demonstrates that gasless voting enhances access and that a systematic engineering system can inform the creation of secure and usable blockchain e-voting systems, and full production-quality zero-knowledge verification is also a task of the future.