How Context Shapes Truth: Geometric Transformations of Statement-level Truth Representations in LLMs

Shivam Adarsh, Maria Maistro, Christina Lioma


Abstract
Large Language Models (LLMs) often encode whether a statement is true as a vector in their residual stream activations. These vectors, also known as truth vectors, have been studied in prior work, however how they change when context is introduced remains unexplored. We study this question by measuring (1) the directional change (𝜃) between the truth vectors with and without context and (2) the relative magnitude of the truth vectors upon adding context. Across four LLMs and four datasets, we find that (1) truth vectors are roughly orthogonal in early layers, converge in middle layers, and may stabilize or continue increasing in later layers; (2) adding context generally increases the truth vector magnitude, i.e., the separation between true and false representations in the activation space is amplified; (3) larger models distinguish relevant from irrelevant context mainly through directional change (𝜃), while smaller models show this distinction through magnitude differences. We also find that context conflicting with parametric knowledge produces larger geometric changes than parametrically aligned context. Collectively, these findings provide a geometric characterization of how context transforms the truth vector in the activation space of LLMs.
Anthology ID:
2026.acl-long.1695
Volume:
Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)
Month:
July
Year:
2026
Address:
San Diego, California, United States
Editors:
Maria Liakata, Viviane P. Moreira, Jiajun Zhang, David Jurgens
Venue:
ACL
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Publisher:
Association for Computational Linguistics
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Pages:
36570–36590
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URL:
https://preview.aclanthology.org/ingest-acl/2026.acl-long.1695/
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Cite (ACL):
Shivam Adarsh, Maria Maistro, and Christina Lioma. 2026. How Context Shapes Truth: Geometric Transformations of Statement-level Truth Representations in LLMs. In Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 36570–36590, San Diego, California, United States. Association for Computational Linguistics.
Cite (Informal):
How Context Shapes Truth: Geometric Transformations of Statement-level Truth Representations in LLMs (Adarsh et al., ACL 2026)
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https://preview.aclanthology.org/ingest-acl/2026.acl-long.1695.pdf
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