Abstract
We present Limite 1B - Violetto, a one-billion-parameter model designed for high-throughput mathematical reasoning. Limite is trained from scratch on 237 billion tokens from a carefully curated, mathematics-centric corpus and supports context lengths of up to 131k tokens. Its architecture and training recipe were developed together to maximize reasoning capability while keeping training and inference costs low. Post-training combines knowledge distillation, targeted supervised fine-tuning, and RLVR on a curated curriculum. Limite achieves 94.01% on AIME 2026 and 74.25% on BeyondAIME, placing it among models many times its size on our evaluation suite. The model is deliberately only lightly instruction-tuned: it is intended primarily as a single-turn mathematical solver and as a fast, parallel component of larger systems, rather than as a general-purpose assistant. We release the model, its base and value checkpoints, and an optimized serving implementation under the Apache 2.0 license.
Limite 1B - Violetto, technical reportPDF, 2.7 MB
Citation
@techreport{paradigma2026limite,
title = {{Limite 1B - Violetto}},
author = {Prignano, Mario and
Cirillo, Gabriele and
Morosini, Alessio and
Cerovaz, Luca and
Bartolocci, Alessandro and
Rodolà, Emanuele and
Starace, Giulio and
Pappone, Francesco},
institution = {Paradigma},
year = {2026},
month = oct,
url = {https://paradigma.inc/research/limite-1b-violetto/}
}