# Cryptographic Proof Performance on Synthetic sets of varying sizes (100 to 1,000,000 elements) Source: [Cryptographic Proof Performance on Synthetic sets of varying sizes (100 to 1,000,000 elements)]() Collection index: [llms.txt]() Data updated: 2026-04-13T07:09:30.861Z Performance evaluation of cryptographic proof generation and verification timing metrics across synthetic datasets spanning sizes from 100 to 1,000,000 elements. 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 | Cryptographic Proof Performance | | Dataset (including any stated split) | Synthetic sets of varying sizes (100 to 1,000,000 elements) | | Metric | Avg. Generation Time (s) | | Unit | TIME | | Direction | Lower is better | | Results loaded | 10 of 10 | | 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 - [Avg. Generation Time (s)](): Lower is better; unit: TIME. - [Avg. Verification Time (s)](): Lower is better; unit: TIME. ## Recorded results | Method | Avg. Generation Time (s) | Result date | Report paper | | --- | --- | --- | --- | | Patricia-Merkle | 0.000118 | Not recorded | 68fa753a1e209131cea66948 | | Patricia-Merkle | 0.000146 | Not recorded | 68fa753a1e209131cea66948 | | Patricia-Merkle | 0.000215 | Not recorded | 68fa753a1e209131cea66948 | | Patricia-Merkle | 0.000261 | Not recorded | 68fa753a1e209131cea66948 | | Patricia-Merkle | 0.0003 | Not recorded | 68fa753a1e209131cea66948 | | OR-Aggregation (Ed25519) | 0.026569 | Not recorded | 68fa753a1e209131cea66948 | | OR-Aggregation (Ed25519) | 0.026569 | Not recorded | 68fa753a1e209131cea66948 | | OR-Aggregation (Ed25519) | 0.026569 | Not recorded | 68fa753a1e209131cea66948 | | OR-Aggregation (Ed25519) | 0.026569 | Not recorded | 68fa753a1e209131cea66948 | | OR-Aggregation (Ed25519) | 0.026569 | Not recorded | 68fa753a1e209131cea66948 | ### Patricia-Merkle Avg. Generation Time (s): 0.000118. Result ID: 69dc957947f34ce924c315ee. [Reporting paper]() Recorded evaluation configuration: {"Number of Elements":"100"}. This record does not assert independent reproduction. ### Patricia-Merkle Avg. Generation Time (s): 0.000146. Result ID: 69dc957947f34ce924c315ef. [Reporting paper]() Recorded evaluation configuration: {"Number of Elements":"1,000"}. This record does not assert independent reproduction. ### Patricia-Merkle Avg. Generation Time (s): 0.000215. Result ID: 69dc957947f34ce924c315f0. [Reporting paper]() Recorded evaluation configuration: {"Number of Elements":"10,000"}. This record does not assert independent reproduction. ### Patricia-Merkle Avg. Generation Time (s): 0.000261. Result ID: 69dc957947f34ce924c315f1. [Reporting paper]() Recorded evaluation configuration: {"Number of Elements":"100,000"}. This record does not assert independent reproduction. ### Patricia-Merkle Avg. Generation Time (s): 0.0003. Result ID: 69dc957947f34ce924c315f2. [Reporting paper]() Recorded evaluation configuration: {"Number of Elements":"1,000,000"}. This record does not assert independent reproduction. ### OR-Aggregation (Ed25519) Avg. Generation Time (s): 0.026569. Result ID: 69dc957947f34ce924c315f3. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of Elements":"100"}. This record does not assert independent reproduction. ### OR-Aggregation (Ed25519) Avg. Generation Time (s): 0.026569. Result ID: 69dc957947f34ce924c315f4. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of Elements":"1,000"}. This record does not assert independent reproduction. ### OR-Aggregation (Ed25519) Avg. Generation Time (s): 0.026569. Result ID: 69dc957947f34ce924c315f5. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of Elements":"10,000"}. This record does not assert independent reproduction. ### OR-Aggregation (Ed25519) Avg. Generation Time (s): 0.026569. Result ID: 69dc957947f34ce924c315f6. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of Elements":"100,000"}. This record does not assert independent reproduction. ### OR-Aggregation (Ed25519) Avg. Generation Time (s): 0.026569. Result ID: 69dc957947f34ce924c315f7. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of Elements":"1,000,000"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.