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Every Bit, Everywhere, All at Once: A Binomial Multibit LLM Watermark

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With LLM watermarking already being deployed commercially, practical applications increasingly require multibit watermarks that encode more complex payloads, such as user IDs or timestamps, into the generated text. In this work, we propose a fundamentally new approach for multibit watermarking: introducing binomial encoding to directly encode every bit of the payload at every token position. We complement our approach with a stateful encoder that during generation dynamically redirects encoding pressure toward underencoded bits. Our evaluation against 8 baselines on up to 64-bit payloads shows that our scheme achieves superior message accuracy and robustness, with the gap to baseline methods widening in more relevant settings (i.e., large payloads and low-distortion regimes). At the same time, we challenge prior works' evaluation metrics, highlighting their lack of practical insights, and introduce per-bit confidence scoring as a practically relevant metric for evaluating multibit LLM watermarks.

Thibaud Gloaguen, Robin Staab, Mark Vero, Martin Vechev• 2026

Related benchmarks

TaskDatasetResultRank
Distortion-Free Watermark EvaluationELI5 16-bit bitstrings LLAMA3.1-8B
Message Accuracy15.8
8
Synonym Substitution RobustnessELI5 prompts 32-bit payload Llama3.1-8B (test)
Bit Accuracy (10% Substitution)70.7
7
Word Deletion RobustnessELI5 prompts 32-bit payload Llama3.1-8B (test)
Bit Accuracy (10% Deletion)70.7
7
Paraphrasing RobustnessELI5 prompts 32-bit payload Llama3.1-8B (test)
Bit Accuracy50.9
7
Distortion-Free Watermark EvaluationELI5 32-bit bitstrings LLAMA3.1-8B
Message Accuracy0.3
6
Distortion-Free Watermark EvaluationELI5 64-bit bitstrings LLAMA3.1-8B
Message Accuracy0.00e+0
6
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