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horaedb
Apache HoraeDB (incubating) is a high-performance, distributed, cloud native time-series database.
This is very alpha at the moment:
https://github.com/CeresDB/ceresdb/blob/main/docs/dev/roadma...
But with ant group behind it, it will probably grow fast. Maybe in a few years it’s production ready.
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InfluxDB
InfluxDB – Built for High-Performance Time Series Workloads. InfluxDB 3 OSS is now GA. Transform, enrich, and act on time series data directly in the database. Automate critical tasks and eliminate the need to move data externally. Download now.
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If you are looking for a production ready distributed store written in Rust. Check out TiKV(https://github.com/tikv/tikv), which was also mentioned in the acknowledge section of the project's README.
There's also a full-featured distributed RDBMS called TiDB built on top of TiKV.