ZR1 1.5B

362
69
1.5B
1 language
license:mit
by
Zyphra
Language Model
OTHER
1.5B params
New
362 downloads
Early-stage
Try on Hugging FaceAdd to Compare
Edge AI:
Mobile
Laptop
Server
4GB+ RAM
Mobile
Laptop
Server
Quick Summary

ZR1-1.5B is a small reasoning model trained extensively on both verified coding and mathematics problems with reinforcement learning. The model outperforms Llam...

Device Compatibility

Mobile
4-6GB RAM
Laptop
16GB RAM
Server
GPU
Minimum Recommended
2GB+ RAM

Code Examples

Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}
Citationbash
@misc{zyphra2025ZR1,
  title     = {ZR1-1.5B: A small but powerful reasoning model for math and code},
  author    = {Zyphra},
  year      = {2025},
}

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