# Batch Verification on 300,000,000 element set 1000 elements batch

Source: [Batch Verification on 300,000,000 element set 1000 elements batch](<https://www.sota2.com/research/sota/batch-verification-on-300-000-000-element-set-1000-elements-batch>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-04-13T07:09:30.792Z

Evaluation of system efficiency for Batch Verification, focusing on Total Proof Size, Proof Generation Time, and Batch Verification Time using a dataset composed of 300 million elements processed in batches of 1000.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Batch Verification |
| Dataset (including any stated split) | 300,000,000 element set 1000 elements batch |
| Metric | Total Proof Size |
| Unit | SIZE |
| Direction | Lower is better |
| Results loaded | 2 of 2 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [Total Proof Size](<https://www.sota2.com/research/sota/batch-verification-on-300-000-000-element-set-1000-elements-batch.md?metric=Total%20Proof%20Size>): Lower is better; unit: SIZE.

- [Proof Generation Time (s)](<https://www.sota2.com/research/sota/batch-verification-on-300-000-000-element-set-1000-elements-batch.md?metric=Proof%20Generation%20Time%20(s)>): Lower is better; unit: TIME.

- [Batch Verification Time (s)](<https://www.sota2.com/research/sota/batch-verification-on-300-000-000-element-set-1000-elements-batch.md?metric=Batch%20Verification%20Time%20(s)>): Lower is better; unit: TIME.

## Recorded results

| Method | Total Proof Size | Result date | Report paper |
| --- | --- | --- | --- |
| Patricia-Merkle | 2.92 | Not recorded | 68fa753a1e209131cea66948 |
| OR-Aggregation (Ed25519) | 160 | Not recorded | 68fa753a1e209131cea66948 |

### Patricia-Merkle

Total Proof Size: 2.92. Result ID: 69dc957947f34ce924c315e0.

[Reporting paper](<https://www.sota2.com/research/paper/68fa753a1e209131cea66948.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### OR-Aggregation (Ed25519)

Total Proof Size: 160. Result ID: 69dc957947f34ce924c315e1.

[Reporting paper](<https://www.sota2.com/research/paper/68fa753a1e209131cea66948.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa753a1e209131cea66948.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

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