Robust Distortion-free Watermarks for Language Models
On the map: LLM safety and security → Watermarking generated content and models
Abstract (arXiv)
We propose a methodology for planting watermarks in text from an autoregressive language model that are robust to perturbations without changing the distribution over text up to a certain maximum generation budget. We generate watermarked text by mapping a sequence of random numbers -- which we compute using a randomized watermark key -- to a sample from the language model. To detect watermarked text, any party who knows the key can align the text to the random number sequence. We instantiate our watermark methodology with two sampling schemes: inverse transform sampling and exponential minimum sampling. We apply these watermarks to three language models -- OPT-1.3B, LLaMA-7B and Alpaca-7B -- to experimentally validate their statistical power and robustness to various paraphrasing attacks. Notably, for both the OPT-1.3B and LLaMA-7B models, we find we can reliably detect watermarked text (p ≤ 0.01) from 35 tokens even after corrupting between 40-50% of the tokens via random edits (i.e., substitutions, insertions or deletions). For the Alpaca-7B model, we conduct a case study on the feasibility of watermarking responses to typical user instructions. Due to the lower entropy of the responses, detection is more difficult: around 25% of the responses -- whose median length is around 100 tokens -- are detectable with p ≤ 0.01, and the watermark is also less robust to certain automated paraphrasing attacks we implement.
Key facts. Cited by 279 papers in the map (data through 7 Oct 2026). Placed in Watermarking generated content and models, one of 12 directions in LLM safety and security. Builds on 13 of its 29 references that are in the map. First posted on arXiv 28 Jul 2023.
Builds on
13 of 29 references.
Closest ancestors · 5
Same direction, newest first
- 2023Undetectable Watermarks for Language Models25 May
- 2023Protecting Language Generation Models via Invisible Watermarking6 Feb
- 2022CATER: Intellectual Property Protection on Text Generation APIs via Conditional Watermarks19 Sep
- 2021Tracing Text Provenance via Context-Aware Lexical Substitution15 Dec
- 2021Protecting Intellectual Property of Language Generation APIs with Lexical Watermark5 Dec
Other references · 8
- 2020Language Models are Few-Shot Learnerscited by 32,199
- 2019Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformercited by 14,491
- 2023DetectGPT: Zero-Shot Machine-Generated Text Detection using Probability Curvaturecited by 705
- 2020Automatic Detection of Machine Generated Text: A Critical Surveycited by 160
- 2020Adversarial Watermarking Transformer: Towards Tracing Text Provenance with Data Hidingcited by 121
- 2019Neural Linguistic Steganographycited by 73
- 2019Towards Near-imperceptible Steganographic Textcited by 30
- 2021Frustratingly Easy Edit-based Linguistic Steganography with a Masked Language Modelcited by 28
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Citing papers per year: 2023: 21; 2024: 87; 2025: 87; 2026: 84.
279 papers.
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- 2024Monitoring AI-Modified Content at Scale: A Case Study on the Impact of ChatGPT on AI Conference Peer Reviewscited by 160
- 2024Mapping the Increasing Use of LLMs in Scientific Paperscited by 112
- 2023A Survey of Text Watermarking in the Era of Large Language Modelscited by 102
- 2023A Semantic Invariant Robust Watermark for Large Language Modelscited by 97
- 2023Identifying and Mitigating the Security Risks of Generative AIcited by 90
- 2024MarkLLM: An Open-Source Toolkit for LLM Watermarkingcited by 80
- 2024Watermark Stealing in Large Language Modelscited by 79
- 2023Watermarks in the Sand: Impossibility of Strong Watermarking for Generative Modelscited by 77
- 2024Detecting Multimedia Generated by Large AI Models: A Surveycited by 73
- 2023On the Learnability of Watermarks for Language Modelscited by 72
- 2023A Survey on Detection of LLMs-Generated Contentcited by 70
- 2023Publicly-Detectable Watermarking for Language Modelscited by 69
38 more
- 2023REMARK-LLM: A Robust and Efficient Watermarking Framework for Generative Large Language Modelscited by 64
- 2024Instructional Fingerprinting of Large Language Modelscited by 64
- 2023Mark My Words: Analyzing and Evaluating Language Model Watermarkscited by 62
- 2024An Entropy-based Text Watermarking Detection Methodcited by 61
- 2024Adaptive Text Watermark for Large Language Modelscited by 60
- 2023An Unforgeable Publicly Verifiable Watermark for Large Language Modelscited by 54
- 2024Watermarking Makes Language Models Radioactivecited by 52
- 2023Advancing Beyond Identification: Multi-bit Watermark for Large Language Modelscited by 51
- 2024WaterMax: breaking the LLM watermark detectability-robustness-quality trade-offcited by 48
- 2023A Resilient and Accessible Distribution-Preserving Watermark for Large Language Modelscited by 47
- 2024No Free Lunch in LLM Watermarking: Trade-offs in Watermarking Design Choicescited by 47
- 2024k-SemStamp: A Clustering-Based Semantic Watermark for Detection of Machine-Generated Textcited by 46
- 2024SoK: Watermarking for AI-Generated Contentcited by 43
- 2024Pseudorandom Error-Correcting Codescited by 40
- 2024Copyright Protection in Generative AI: A Technical Perspectivecited by 35
- 2024GumbelSoft: Diversified Language Model Watermarking via the GumbelMax-trickcited by 31
- 2024Token-Specific Watermarking with Enhanced Detectability and Semantic Coherence for Large Language Modelscited by 30
- 2023Towards Possibilities & Impossibilities of AI-generated Text Detection: A Surveycited by 28
- 2023WaterBench: Towards Holistic Evaluation of Watermarks for Large Language Modelscited by 27
- 2023Towards Optimal Statistical Watermarkingcited by 25
- 2024Stumbling Blocks: Stress Testing the Robustness of Machine-Generated Text Detectors Under Attackscited by 25
- 2024Bypassing LLM Watermarks with Color-Aware Substitutionscited by 24
- 2024PostMark: A Robust Blackbox Watermark for Large Language Modelscited by 24
- 2024Deconstructing The Ethics of Large Language Models from Long-standing Issues to New-emerging Dilemmas: A Surveycited by 23
- 2024Detecting AI-Generated Text: Factors Influencing Detectability with Current Methodscited by 23
- 2024COMPL-AI Framework: A Technical Interpretation and LLM Benchmarking Suite for the EU Artificial Intelligence Actcited by 23
- 2023WatME: Towards Lossless Watermarking Through Lexical Redundancycited by 22
- 2023Optimizing watermarks for large language modelscited by 22
- 2024Black-Box Detection of Language Model Watermarkscited by 22
- 2024Bileve: Securing Text Provenance in Large Language Models Against Spoofing with Bi-level Signaturecited by 21
- 2025AdaDetectGPT: Adaptive Detection of LLM-Generated Text with Statistical Guaranteescited by 20
- 2024Learning to Watermark LLM-generated Text via Reinforcement Learningcited by 19
- 2024Revisiting the Robustness of Watermarking to Paraphrasing Attackscited by 19
- 2025Exploring and Mitigating Adversarial Manipulation of Voting-Based Leaderboardscited by 19
- 2024Double-I Watermark: Protecting Model Copyright for LLM Fine-tuningcited by 18
- 2024Debiasing Watermarks for Large Language Models via Maximal Couplingcited by 18
- 2024Hidden in the Noise: Two-Stage Robust Watermarking for Imagescited by 18
- 2025BiMark: Unbiased Multilayer Watermarking for Large Language Modelscited by 18
50 most cited of 279 All 279 (JSON)
- 2026TTMark: Pairwise Distortion-Free Watermarking Beyond Single-Token Entropy28 Sep 2026
- 2026TANGO: Watermarking Masked Diffusion Language Models in Token Pairs28 Sep 2026
- 2026GenoTrace: Inheritable Watermarks for Genome Foundation Model Distillation27 Sep 2026
- 2026Tokens Change, Structure Endures: Spectral Watermarking for Generated Speech27 Sep 2026
- 2026Codetta: High-Capacity, Keyless, and Undetectable Multi-Agent Collusion24 Sep 2026
- 2026On the Information-Theoretic Limits of Latent-Space Watermarking Through Pretrained Generators21 Sep 2026
- 2026Watermarkable Multi-Draft Speculative Sampling via Poisson Processes18 Sep 2026
- 2026DenMark: Robust Semantic Watermarking for Diffusion Language Models13 Sep 2026
- 2026TripPattern: A Pattern-based Text Watermarking Method for Large Language Models11 Sep 2026
- 2026Break Step: Recursive Training Resonates with Replayed Sampling Noise10 Sep 2026
- 2026TrajMark: Ownership Attribution and Segment-Level Tamper Localization for Coding-Agent Trajectories9 Sep 2026
- 2026Watermarks Without Verification: AI Text Watermarking After the EU AI Act9 Sep 2026
38 more
- 2026Flip, Don't Shuffle: Watermarking LLMs at the Speed of Inference3 Sep 2026
- 2026WeaveMark: Robust and Scalable Multi-bit LLM Watermarking via Coded Payload Spreading2 Sep 2026
- 2026SemTrace: Source-Grounded Semantic Signatures for Tracing LLM Exposure to Protected Documents30 Aug 2026
- 2026Learning to Follow In-Context Watermark Instructions via Self-Distillation29 Aug 2026
- 2026OpenStamp: A Watermark for Open-Source Language Models28 Aug 2026
- 2026Semantic Watermarking with Order-Robust Detection over Sub-sentence Units27 Aug 2026
- 2026SAC-Copula: Quality-Preserving Watermarking for Diffusion Language Models via Smooth Correlated Gumbel Fields21 Aug 2026
- 2026Auditing Cross-Lingual Fairness in Language Model Watermarking20 Aug 2026
- 2026Linguistic Holonomy and Statistical Watermarks: Inner Geometry of Meaning-Preserving Transformations19 Aug 2026
- 2026Towards Computational Provenance: Carrying Causal-State Evidence in Generated Text17 Aug 2026
- 2026The Value of a Prompt: An LLM-Relative Kolmogorov-Complexity Approach17 Aug 2026
- 2026Tracing Provenance and Detecting Tampering with Complementary LLM Watermarks13 Aug 2026
- 2026ChainMark: Model-Free LLM Watermarking with Closed-Form Calibration20 Jul 2026
- 2026WaterMoE: Expert-Routing-based Watermarking for High Fidelity and Efficiency14 Jul 2026
- 2026Watermark Forensics for Generative Models: An Information-Theoretic Perspective14 Jul 2026
- 2026LLM Watermarking as Big Data Provenance: A Deployment-Oriented Systematization11 Jul 2026
- 2026TRACE: A Two-Channel Robust Attribution Watermark via Complementary Embeddings for LLM-Agent Trajectories9 Jul 2026
- 2026Beyond Heuristic Tuning: Power-Calibrated LLM Watermarking6 Jul 2026
- 2026Geometric Reciprocity: Unlocking Self-Supervision for Stereoscopic Video Generation6 Jul 2026
- 2026Sample Complexities of Estimating Gumbel--Max Watermark Proportions with and without Reduction to Pivotal Statistics30 Jun 2026
- 2026Robust Text Watermarking for Large Language Models via Dual Semantic Embeddings30 Jun 2026
- 2026Signature filtering: a lightweight enhancement for statistical watermark detection in large language models16 Jun 2026
- 2026LineageMark: Multi-user White-box Watermarking for Contribution Tracing in Model Derivation Chains15 Jun 2026
- 2026Stability-Aware Feature Design for Robust Watermark Detection in Machine-Generated Text9 Jun 2026
- 2026Unsupervised Style Representation Learning for AI-Text Detection via Paraphrase Inversion8 Jun 2026
- 2026Global Sketch-Based Watermarking for Diffusion Language Models3 Jun 2026
- 2026Linguistics-Aware Non-Distortionary LLM Watermarking30 May 2026
- 2026Linear Ensembles Wash Away Watermarks: On the Fragility of Distributional Perturbations in LLMs28 May 2026
- 2026AliMark: Enhancing Robustness of Sentence-Level Watermarking Against Text Paraphrasing28 May 2026
- 2026Blind PRNG Hijacking: An Undetectable Integrity-Preserving Attack Against LLM Watermarking27 May 2026
- 2026"AI Watermarking": Bridging Policy Discourse and Technical Capabilities25 May 2026
- 2026SAMark: A Self-Anchored Text Watermarking with Paragraph-Level Paraphrase Robustness25 May 2026
- 2026Verifiable Provenance and Watermarking for Generative AI: An Evidentiary Framework for International Operational Law and Domestic Courts20 May 2026
- 2026Marking the Wrong Symptoms: Evaluating LLM Watermarks in Medical Texts16 May 2026
- 2026Watermarking Should Be Treated as a Monitoring Primitive13 May 2026
- 2026TextSeal: A Localized LLM Watermark for Provenance & Distillation Protection12 May 2026
- 2026Every Bit, Everywhere, All at Once: A Binomial Multibit LLM Watermark12 May 2026
- 2026Making Open-Source Text LLM Watermarks Durable Against Merging11 May 2026
50 newest of 279 All 279 (JSON)
- 2023A Survey of Text Watermarking in the Era of Large Language Modelscited by 102
- 2023A Semantic Invariant Robust Watermark for Large Language Modelscited by 97
- 2024MarkLLM: An Open-Source Toolkit for LLM Watermarkingcited by 80
- 2024Watermark Stealing in Large Language Modelscited by 79
- 2023Watermarks in the Sand: Impossibility of Strong Watermarking for Generative Modelscited by 77
- 2023On the Learnability of Watermarks for Language Modelscited by 72
- 2023Publicly-Detectable Watermarking for Language Modelscited by 69
- 2023REMARK-LLM: A Robust and Efficient Watermarking Framework for Generative Large Language Modelscited by 64
- 2023Mark My Words: Analyzing and Evaluating Language Model Watermarkscited by 62
- 2024An Entropy-based Text Watermarking Detection Methodcited by 61
- 2024Adaptive Text Watermark for Large Language Modelscited by 60
- 2023An Unforgeable Publicly Verifiable Watermark for Large Language Modelscited by 54
12 most cited of 186 All 186 (JSON)
- 2026TTMark: Pairwise Distortion-Free Watermarking Beyond Single-Token Entropy28 Sep 2026
- 2026GenoTrace: Inheritable Watermarks for Genome Foundation Model Distillation27 Sep 2026
- 2026Tokens Change, Structure Endures: Spectral Watermarking for Generated Speech27 Sep 2026
- 2026On the Information-Theoretic Limits of Latent-Space Watermarking Through Pretrained Generators21 Sep 2026
- 2026TripPattern: A Pattern-based Text Watermarking Method for Large Language Models11 Sep 2026
- 2026Watermarks Without Verification: AI Text Watermarking After the EU AI Act9 Sep 2026
- 2026Flip, Don't Shuffle: Watermarking LLMs at the Speed of Inference3 Sep 2026
- 2026WeaveMark: Robust and Scalable Multi-bit LLM Watermarking via Coded Payload Spreading2 Sep 2026
- 2026SemTrace: Source-Grounded Semantic Signatures for Tracing LLM Exposure to Protected Documents30 Aug 2026
- 2026Learning to Follow In-Context Watermark Instructions via Self-Distillation29 Aug 2026
- 2026OpenStamp: A Watermark for Open-Source Language Models28 Aug 2026
- 2026Semantic Watermarking with Order-Robust Detection over Sub-sentence Units27 Aug 2026
12 newest of 186 All 186 (JSON)
- 2024Detecting Multimedia Generated by Large AI Models: A Surveycited by 73
- 2025Watermarking Diffusion Language Modelscited by 9
- 2025Watermarking Discrete Diffusion Language Modelscited by 5
- 2026SLICE: Semantic Latent Injection via Compartmentalized Embedding for Image Watermarkingcited by 5
- 2025ClusterMark: Towards Robust Watermarking for Autoregressive Image Generators with Visual Token Clusteringcited by 3
- 2026Chainwash: Multi-Step Rewriting Attacks on Diffusion Language Model Watermarkscited by 1
- 2026Global Sketch-Based Watermarking for Diffusion Language Modelscited by 1
- 2026SAC-Copula: Quality-Preserving Watermarking for Diffusion Language Models via Smooth Correlated Gumbel Fieldscited by 1
- 2026DenMark: Robust Semantic Watermarking for Diffusion Language Modelscited by 1
- 2025MUSE: Model-Agnostic Tabular Watermarking via Multi-Sample Selectioncited by 0
- 2026TANGO: Watermarking Masked Diffusion Language Models in Token Pairscited by 0
- 2026TANGO: Watermarking Masked Diffusion Language Models in Token Pairs28 Sep 2026
- 2026DenMark: Robust Semantic Watermarking for Diffusion Language Models13 Sep 2026
- 2026SAC-Copula: Quality-Preserving Watermarking for Diffusion Language Models via Smooth Correlated Gumbel Fields21 Aug 2026
- 2026Global Sketch-Based Watermarking for Diffusion Language Models3 Jun 2026
- 2026Chainwash: Multi-Step Rewriting Attacks on Diffusion Language Model Watermarks6 May 2026
- 2026SLICE: Semantic Latent Injection via Compartmentalized Embedding for Image Watermarking13 Mar 2026
- 2025Watermarking Discrete Diffusion Language Models3 Nov 2025
- 2025Watermarking Diffusion Language Models29 Sep 2025
- 2025ClusterMark: Towards Robust Watermarking for Autoregressive Image Generators with Visual Token Clustering8 Aug 2025
- 2025MUSE: Model-Agnostic Tabular Watermarking via Multi-Sample Selection30 May 2025
- 2024Detecting Multimedia Generated by Large AI Models: A Survey22 Jan 2024
- 2026Sequential Behavioral Watermarking for LLM Agentscited by 3
- 2026TRACE: A Two-Channel Robust Attribution Watermark via Complementary Embeddings for LLM-Agent Trajectoriescited by 3
- 2026Undetectable Conversations Between AI Agents via Pseudorandom Noise-Resilient Key Exchangecited by 2
- 2026Trustworthy AI: Ensuring Reliability and Accountability from Models to Agentscited by 0
- 2026TrajMark: Ownership Attribution and Segment-Level Tamper Localization for Coding-Agent Trajectoriescited by 0
- 2026Codetta: High-Capacity, Keyless, and Undetectable Multi-Agent Collusioncited by 0
- 2026Codetta: High-Capacity, Keyless, and Undetectable Multi-Agent Collusion24 Sep 2026
- 2026TrajMark: Ownership Attribution and Segment-Level Tamper Localization for Coding-Agent Trajectories9 Sep 2026
- 2026TRACE: A Two-Channel Robust Attribution Watermark via Complementary Embeddings for LLM-Agent Trajectories9 Jul 2026
- 2026Sequential Behavioral Watermarking for LLM Agents11 May 2026
- 2026Trustworthy AI: Ensuring Reliability and Accountability from Models to Agents9 May 2026
- 2026Undetectable Conversations Between AI Agents via Pseudorandom Noise-Resilient Key Exchange6 Apr 2026
- 2024Inevitable Trade-off between Watermark Strength and Speculative Sampling Efficiency for Language Modelscited by 7
- 2026Improving the Trade-off Between Watermark Strength and Speculative Sampling Efficiency for Language Modelscited by 1
- 2026Watermarkable Multi-Draft Speculative Sampling via Poisson Processescited by 0
- 2026Watermarkable Multi-Draft Speculative Sampling via Poisson Processes18 Sep 2026
- 2026Improving the Trade-off Between Watermark Strength and Speculative Sampling Efficiency for Language Models1 Feb 2026
- 2024Inevitable Trade-off between Watermark Strength and Speculative Sampling Efficiency for Language Models27 Oct 2024
- 2023Source Attribution for Large Language Model-Generated Datacited by 11
- 2024Monitoring AI-Modified Content at Scale: A Case Study on the Impact of ChatGPT on AI Conference Peer Reviewscited by 160
- 2024Mapping the Increasing Use of LLMs in Scientific Paperscited by 112
- 2023Identifying and Mitigating the Security Risks of Generative AIcited by 90
- 2023A Survey on Detection of LLMs-Generated Contentcited by 70
- 2024Instructional Fingerprinting of Large Language Modelscited by 64
- 2024Copyright Protection in Generative AI: A Technical Perspectivecited by 35
- 2023Towards Possibilities & Impossibilities of AI-generated Text Detection: A Surveycited by 28
- 2024Stumbling Blocks: Stress Testing the Robustness of Machine-Generated Text Detectors Under Attackscited by 25
- 2024Deconstructing The Ethics of Large Language Models from Long-standing Issues to New-emerging Dilemmas: A Surveycited by 23
- 2024Detecting AI-Generated Text: Factors Influencing Detectability with Current Methodscited by 23
- 2024COMPL-AI Framework: A Technical Interpretation and LLM Benchmarking Suite for the EU Artificial Intelligence Actcited by 23
- 2023WatME: Towards Lossless Watermarking Through Lexical Redundancycited by 22
12 most cited of 67 All 67 (JSON)
- 2026Break Step: Recursive Training Resonates with Replayed Sampling Noise10 Sep 2026
- 2026Towards Computational Provenance: Carrying Causal-State Evidence in Generated Text17 Aug 2026
- 2026The Value of a Prompt: An LLM-Relative Kolmogorov-Complexity Approach17 Aug 2026
- 2026Geometric Reciprocity: Unlocking Self-Supervision for Stereoscopic Video Generation6 Jul 2026
- 2026Sample Complexities of Estimating Gumbel--Max Watermark Proportions with and without Reduction to Pivotal Statistics30 Jun 2026
- 2026Unsupervised Style Representation Learning for AI-Text Detection via Paraphrase Inversion8 Jun 2026
- 2026Watermarking Should Be Treated as a Monitoring Primitive13 May 2026
- 2026SWAN: Semantic Watermarking with Abstract Meaning Representation5 May 2026
- 2026Towards Robust Content Watermarking Against Removal and Forgery Attacks8 Apr 2026
- 2026Refined Detection for Gumbel Watermarking31 Mar 2026
- 2026When Only the Final Text Survives: Implicit Execution Tracing for Multi-Agent Auditing18 Mar 2026
- 2026Antidistillation Fingerprinting3 Feb 2026
12 newest of 67 All 67 (JSON)