The concept of Verifiable Random Functions (VRFs) was first introduced over two decades ago in 1999, by cryptographers Silvio Micali, Michael O. Rabin, and Salil Vadhan. Verifiable Random Functions (VRFs) Verifiable Random Functions Silvio Micali, Michael O. Rabin, and Salil Vadhan. Back in the day, it was considered a generational breakthrough in cryptography. It gave cryptographers a way to produce randomness that anyone can verify, yet no one can predict or manipulate. Today, the same VRFs, with a little bit of modification, are at the center of modern blockchain networks, ensuring fair, secure, and tamper-proof operations. Many oracles and blockchains use VRFs to ensure data authenticity, verifiability and randomness in consensus. As blockchains evolve, the question of consensus shifts from “Does it work efficiently?” to “Can it remain robust under pressure or can it maintain resilience even under adversarial conditions?” Today, networks handling significant value face increasingly sophisticated challenges with respect to block generation, block validation, and consensus. Beldex’s Proof-of-Stake (PoS) consensus already provides efficiency, fairness, and deterministic finality. Beldex’s Proof-of-Stake (PoS) consensus Beldex’s Proof-of-Stake (PoS) consensus Beldex’s Proof-of-Stake (PoS) consensus Now, Beldex’s focus is on improving randomness and unpredictability. Verifiable Random Functions make this possible by ensuring validator selection, block leader election, block scheduling, and reward distribution remain **secure, verifiable, equitable and free from manipulation. improving randomness and unpredictability What Is a Verifiable Random Function (VRF)? At its core, a Verifiable Random Function is a cryptographic primitive that generates a pseudo random output along with a proof that the output was produced correctly. A validator participating in consensus, for example, produces an output and a corresponding proof, broadcasts it to the other subset of participating validators. Verifiable Random Function Since VRFs can be verified by any validator in the network, it ensures the output produced is valid, random, and tamper-proof, without the validators knowing the result beforehand. ensures the output produced is valid, random, and tamper-proof, without the validators knowing the result beforehand. This characteristic makes VRFs particularly valuable for blockchain consensus. They introduce verifiable randomness into consensus-specific, probabilistic processes like Validator selection
Block leader election
Block production
Broadcasting and block validation Validator selection Block leader election Block production Broadcasting and block validation VRFs provide unbiased, verifiable, tamper-proof outcomes while maintaining transparency for all consensus participants. In essence, VRFs enable a blockchain to make decisions that are simultaneously random and verifiable, an important combination for privacy-first networks. enable a blockchain to make decisions that are simultaneously random and verifiable, an important combination for privacy-first networks. Why Projects Are Moving Toward VRF-Based Consensus Modern blockchains work under increasing scrutiny as their value, userbase, and real-world adoption grow. Deterministic patterns in consensus, even those that are secure, can eventually become predictable to sophisticated adversaries. For example, an adversary with a large enough capital may try to hijack a consensus round if they were able to control a majority of nodes within the network. This would essentially involve taking over 51% of the network. While economic deterrents exist in most networks, we cannot solely rely on them. In addition to economic deterrents, a consensus mechanism with inherent provable randomness helps networks remain resistant to targeted attacks, collusion, and even behavioural analysis. In addition to economic deterrents, a consensus mechanism with inherent provable randomness helps networks remain resistant to targeted attacks, collusion, and even behavioural analysis. VRF-based consensus addresses these challenges by: Expanding participation among validators, promoting decentralization
Preventing predictable scheduling of block producers
Reducing the effectiveness of coordination-based attacks
Maintaining transparency and verifiability for all participants Expanding participation among validators, promoting decentralization Preventing predictable scheduling of block producers Reducing the effectiveness of coordination-based attacks Maintaining transparency and verifiability for all participants Beldex’s Current PoS Consensus: Strong Foundations The Beldex network’s existing PoS consensus is both robust and efficient. Block production relies on a fixed committee of 11 validators and one block producer chosen at random. Beldex Beldex Beldex 11 validators and one block producer chosen at random The network’s Byzantine Fault Tolerance (BFT) ensures blocks are only finalized when approved by a supermajority. Consensus tolerates faults up to 1/3rd of the participants. This design has delivered: Efficient block generation with deterministic finality.
Probabilistic BFT that tolerates up to one-third malicious nodes per quorum.
Economic disincentives for misbehaviour through stake lockups and penalties.
Consistent, predictable performance for the network. Efficient block generation with deterministic finality. Probabilistic BFT that tolerates up to one-third malicious nodes per quorum. Economic disincentives for misbehaviour through stake lockups and penalties. Consistent, predictable performance for the network. While already secure and reliable, the current model is designed to evolve alongside the network’s growing scale and participation. VRF-based consensus builds on the existing consensus by introducing dynamic and verifiable randomness to generated outputs, and increasing the validator set exponentially, while preserving existing strengths. How VRF Works in Beldex Under the VRF-based framework, the validator selection process becomes dynamic and highly probabilistic. validator selection process becomes dynamic and highly probabilistic. Instead of relying on a fixed set of eleven plus one nodes, approximately two-thirds of all eligible masternodes participate in each consensus round. approximately two-thirds of all eligible masternodes participate in each consensus round. Considering that there are 2481 active masternodes in the Beldex network now, about two-thirds of the masternodes or approximately 1654 nodes will participate in the VRF-based consensus. 2481 active masternodes 2481 active masternodes 2481 active masternodes 1654 nodes will participate in the VRF-based consensus. A dynamic threshold value is assigned for the round, and each participating node generates a pseudo random output along with a cryptographic proof of authenticity. threshold value Each node strives to produce an output that is always less than the threshold value. Each node strives to produce an output that is always less than the threshold value. Nodes whose outputs fall below the threshold value eventually become eligible for block production, with the node generating the lowest possible valid output being selected as the block producer. The remaining 1653 nodes serve as validators, confirming the block’s validity using the proofs provided by the block producer. node generating the lowest possible valid output being selected as the block producer validators Notice how the block producer and validator set has now increased from a fixed 11+1 node to 2/3rds of the total nodes (1654 nodes in our example) in the network. Because both the threshold and outputs are dynamic, no validator can predict their role in advance, significantly reducing the risk of targeted attacks or collusion. The output generated by a node is verified by every other node participating in the consensus, thus any attempt to collude or undermine the network is thwarted by a majority of honest nodes. no validator can predict their role in advance With two-thirds (1654) of the total nodes participating in the network, it becomes increasingly difficult to manipulate the consensus since the capital cost becomes exceptionally high. For example, a user would have to stake 10000 BDX to run a masternode on the Beldex network. a user would have to stake 10000 BDX to run a masternode on the Beldex network. For a bad actor to take over the network, they should at least run 1654 masternodes, representing a stake of 16,540,000 BDX. Assuming the current price of BDX, this amounts to over $1.37 M USD. Even then, the probability of all their nodes being selected to participate in the consensus remains extremely low. 16,540,000 BDX. current price of BDX current price of BDX current price of BDX $1.37 M USD This process also simplifies block finality by removing multiple handshake rounds, enabling faster and more efficient consensus without compromising correctness. In this way, VRFs preserve the transparency, verifiability, fairness, and security of PoS consensus while introducing a level of randomness that strengthens the network’s resilience. Security, Fairness, and Network Efficiency VRF-based consensus strengthens Beldex’s security on multiple fronts: Byzantine Fault Tolerance: Unpredictable validator selection (two-thirds of total) reduces the risk of coordinated attacks, as malicious actors cannot reliably determine who will propose or validate the next block.
Sybil and Collusion Resistance: Even if an attacker operates multiple nodes, highly randomized selection limits their influence per round. The attacker cannot determine the dynamic threshold value beforehand, therefore, ensuring all their nodes produce an output that’s less than the threshold in order to be included within the consensus is extremely unlikely. Existing economic disincentives, including lockups and potential deregistration, further discourage malicious behaviour.
Faster Finality: By simplifying quorum formation and reducing handshakes (currently, quorum formation and handshakes in consensus is a 11 step process), VRFs accelerate block finality while preserving deterministic correctness.
Fair Reward Distribution: Over time, probabilistic selection ensures that rewards are equitably distributed among validators, consistent with the Law of Large Numbers. Byzantine Fault Tolerance: Unpredictable validator selection (two-thirds of total) reduces the risk of coordinated attacks, as malicious actors cannot reliably determine who will propose or validate the next block. Byzantine Fault Tolerance: Sybil and Collusion Resistance: Even if an attacker operates multiple nodes, highly randomized selection limits their influence per round. The attacker cannot determine the dynamic threshold value beforehand, therefore, ensuring all their nodes produce an output that’s less than the threshold in order to be included within the consensus is extremely unlikely. Existing economic disincentives, including lockups and potential deregistration, further discourage malicious behaviour. Sybil and Collusion Resistance: attacker cannot determine the dynamic threshold value beforehand Faster Finality: By simplifying quorum formation and reducing handshakes (currently, quorum formation and handshakes in consensus is a 11 step process), VRFs accelerate block finality while preserving deterministic correctness. Faster Finality: quorum formation and handshakes in consensus is a 11 step process quorum formation and handshakes in consensus is a 11 step process quorum formation and handshakes in consensus is a 11 step process Fair Reward Distribution: Over time, probabilistic selection ensures that rewards are equitably distributed among validators, consistent with the Law of Large Numbers. Fair Reward Distribution: VRF’s Role in Beldex’s Privacy-First Ecosystem For privacy-oriented networks, security extends beyond cryptographic protections to include the unpredictability of network behaviour itself. For privacy-oriented networks, security extends beyond cryptographic protections Observable patterns such as which nodes produce blocks, how frequently, and in what order can create indirect attack vectors, including profiling or coordinated targeting. By introducing verifiable randomness at the consensus layer, VRFs reduce these predictable patterns and bolster privacy across the ecosystem. Ancillary network processes, such as validator rotation, traffic routing, and storage server assignment for BChat and BelNet, also benefit from increased unpredictability. By minimizing the ability to anticipate roles and behaviors, VRF-based consensus enhances both protocol-level privacy and network-wide resilience, complementing the existing security measures that have already made Beldex a reliable and secure privacy network. BChat BelNet Looking Ahead Currently live on the Beldex testnet, VRF-based consensus represents the network’s next evolutionary step. Scheduled for mainnet deployment through a hard fork by the end of 2026, this upgrade enhances randomness, security, and efficiency without undermining existing PoS guarantees. The Beldex team is slated to publish a research paper on the network’s implementation of Verifiable Random Functions-consensus in Q1, 2026. In an environment where predictability increasingly equates to vulnerability, verifiable randomness is not just an optimization, it is a strategic necessity. For Beldex, VRFs ensure that as participation scales security and fairness, and privacy evolves in lockstep, essentially future-proofing the network.

The is an opinion piece based on the author’s POV and does not necessarily reflect the views of HackerNoon.

This story contains new, firsthand information uncovered by the writer.

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Introducing Provable Randomness in Beldex Consensus with Verifiable Random Functions

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