
Briefing
The primary challenge in deploying high-throughput zero-knowledge rollups is the computational latency of proof generation, which prior work only partially addressed by optimizing Multi-Scalar Multiplication. This research presents a systematic performance characterization, ZKProphet, which decisively identifies the Number-Theoretic Transform (NTT) kernel as the new computational bottleneck, accounting for up to ninety percent of total latency on modern GPUs. This foundational shift in understanding dictates that future architectural roadmaps must prioritize NTT-specific hardware and software optimizations to achieve the necessary speed for truly scalable, real-time verifiable systems.

Context
The established theoretical challenge in scaling zero-knowledge systems centered on the computational complexity of the Multi-Scalar Multiplication (MSM) operation, which was the dominant performance factor in systems like Groth16. Academic and industry efforts successfully optimized MSM through parallelization and specialized hardware, creating the perception that the primary bottleneck had been overcome. This left a gap in understanding the subsequent limiting factor, hindering the next wave of practical performance gains for ZK-Rollups and other verifiable computing applications.

Analysis
The ZKProphet study functions as a comprehensive diagnostic tool, systematically profiling the execution flow of zero-knowledge proof generation on GPU architectures. The core mechanism is a detailed architectural analysis that tracks resource utilization and execution time across all kernels. It conceptually differs from prior work by moving beyond high-level algorithmic theory to concrete hardware-software interaction, revealing that NTT implementations fail to fully utilize the GPU’s 32-bit integer pipelines and asynchronous memory operations. This under-utilization transforms the NTT from a secondary operation into the primary performance choke point.

Parameters
- Bottleneck Latency Share ∞ Up to 90% – The maximum percentage of proof generation latency now attributed to the Number-Theoretic Transform (NTT) kernel on GPUs.
- Target ZKP System ∞ Groth16 – A widely adopted ZK-SNARK protocol optimized for constant proof size and efficient verification.
- Critical GPU Resource ∞ 32-bit Integer Pipeline – The specific hardware component on modern GPUs that NTT kernels under-utilize.

Outlook
The immediate next step for research involves developing novel NTT algorithms and implementations that are specifically designed for efficient 32-bit integer pipeline utilization and asynchronous execution on current GPU architectures. In the 3-5 year horizon, this research enables the design of specialized ASIC and FPGA hardware that is NTT-centric, moving beyond MSM-focused accelerators. This foundational work unlocks the potential for real-time, high-volume verifiable computation, making fully decentralized, trustless, and private layer-two scaling solutions practically viable for mass adoption.

Verdict
This research fundamentally redefines the hardware-software co-design roadmap for zero-knowledge systems, shifting the focus to Number-Theoretic Transform optimization for practical scalability.
