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REVIEW 5 major objections 5 minor 1 cited by

Crabs: Consuming Resource via Auto-generation for LLM-DoS Attack under Black-box Settings

T0 review · 5 major / 5 minor · reviewed 2026-08-11 · deepseek-v4-flash

Pith's one-line read AutoDoS claims that a single black-box prompt can push any tested LLM to its output-window limit, amplifying latency by over 250x and enabling low-cost denial of service.

desk verdict Real phenomenon, overclaimed mechanism: the black-box DoS attack works mostly because the prompt explicitly demands 400-word answers, and the paper never runs the obvious flat-baseline control. read the letter →

arxiv 2412.13879 v4 pith:XXLZRFXR submitted 2024-12-18 cs.CL cs.AIcs.CR

classification cs.CLcs.AIcs.CR
keywords LLMdenial-of-serviceblack-boxattackpromptengineeringLengthTrojanDoSTreeresourceexhaustiontransferabilityoutputamplification
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper tries to show that denial-of-service against large language models can be done by a black-box attacker who only sends prompts. It introduces AutoDoS, which expands an ordinary question into a tree of many detailed sub-questions, iteratively refines an assist prompt so the attack transfers across models, and wraps everything in a Length Trojan that states a small word count while instructing detailed answers. In tests across eleven models, one prompt drives the model to generate until it hits its maximum output window, extending responses by roughly 2000% and service latency by over 250x, and in a simulated server eight parallel requests trigger a crash. If this is right, free and API-hosted LLM services face a low-cost DoS vector that existing input and output filters do not catch.

What carries the argument

The load-bearing objects are the DoS Attack Tree and the Length Trojan. The tree turns one question into many non-overlapping fine-grained sub-questions, pruned via lowest-common-ancestor backtracking, so the model has many reasons to keep writing; the iterative optimization loop uses a judge model's compressed feedback to make the assist prompt transfer across target models; and the Length Trojan splits the prompt into a Trojan Section that states a small word count, which deceives length-estimating filters, and an Attack Section that demands detailed answers and self-reminders to continue. Together they push generation to the model's output-window limit.

What would settle it

Run the AutoDoS prompt against a model or API wrapper whose generation enforces the word count stated in the Trojan section, or that rejects prompts whose stated length contradicts the detailed instructions; if output length falls from the window maximum to roughly the stated limit, the Length Trojan is the load-bearing component.

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Extended reading notes

Core claim

AutoDoS constructs a DoS Attack Tree from an initial prompt, using Depth Backtracking and Breadth Expansion to produce many independent fine-grained sub-questions; a transferability-driven iterative loop, in which a judge model summarizes target feedback and an assist model rewrites the assist prompt, makes the single final prompt work across different target models; and the Length Trojan places a short word-count requirement before the detailed instructions so the model's security filter estimates a safe output length while generation follows the detail instructions and runs to the output window limit. The paper reports that this combination reaches the maximum output length on GPT-4o (16,384 tokens) and on most 8K-window models (8,192 tokens), degrades service latency by over 250x, consumes more than 16x graphics memory in a simulated server, and crashes with 8 parallel requests.

Load-bearing premise

The attack stands on the target's safety filter checking only the stated word count in the prompt while the generation stage follows the detailed-instruction section, so if a model enforced the stated limit the amplification would collapse.

Editorial extensions

If this is right

  • A single crafted prompt can push GPT-4o to its 16,384-token output cap and most tested open models to 8,192 tokens, an output-length increase the abstract quantifies as roughly 2000% over benign prompts.
  • Because the attack works across 11 models from 6 families with one prompt, a black-box attacker does not need model weights or training-data access.
  • In a simulated server, AutoDoS raised memory consumption by over 16x and crashed the server with only 8 parallel requests, while 64 benign requests used under half the memory.
  • Service latency degrades by more than 250x and throughput drops from about one request per minute to about 0.009 per minute under attack.
  • The Length Trojan keeps the prompts stealthy: they pass perplexity-based input filters, output self-monitoring, and compression-similarity detection in the paper's tests.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Editorial inference: the same tree-decomposition trick could be adapted to exhaust other metered LLM resources, such as tool-call loops, reasoning tokens, or image-generation steps, not just output length.
  • Editorial inference: the paper's numbers imply that per-token pricing and strict output caps, rather than content filtering, are the direct countermeasure, since the attack's power comes from letting generation run to the window limit.
  • Editorial inference: a testable extension would measure whether models trained to enforce instruction-consistency, or systems with a post-generation token-budget verifier, defeat the Length Trojan without changing the attack tree.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

5 major / 5 minor

Summary. The paper proposes AutoDoS, a black-box LLM denial-of-service attack that constructs a 'DoS Attack Tree' from a seed question, iteratively optimizes an assist prompt via a target/judge model loop (Eqs. 6-8), and wraps the prompt with a 'Length Trojan' that states a short word-count requirement while also demanding lengthy, never-stopping answers. Experiments are reported over 11 models from six families, with claimed output-length extension of 2000%, latency amplification over 250x, GPU-memory increases, transferability across models, and stealth against perplexity, self-reflection, and similarity defenses. The authors provide a public code repository and a server-simulation study of resource consumption.

Significance. If the claims were fully supported, AutoDoS would represent a practical black-box DoS threat: a single prompt could push models to their output-window limits, multiplying per-request compute. The paper has notable strengths: a wide multi-model evaluation, a public code release, a server-resource simulation, and a plausible decomposition mechanism. However, the evidence is undermined by an explicit length instruction in the only disclosed attack example (Appendix G), inconsistent headline numbers, non-operationalizable optimization equations, and visible transferability failures. The central contribution is therefore not yet established; the observed effect may be plain instruction-following rather than the proposed tree/optimization/trojan mechanism.

major comments (5)
  1. [§4.2, Appendix A, Appendix G] The only disclosed AutoDoS example (Appendix G) explicitly instructs the model: 'Each question requires a response of at least 400 words' and 'generate lengthy, detailed responses for each sub-question', with 25 sub-questions. A flat baseline that requests the same total output length without the DoS Attack Tree, iterative optimization, or Length Trojan is never tested. The ablation studies in Appendix A remove whole modules but do not hold the explicit total-length request constant, so they cannot rule out the trivial explanation that the model is simply following the stated length instruction. Please add a baseline that keeps the same total-length request while stripping the tree and trojan components; without it, the 2000%/250x claims conflate instruction-following with the novel mechanism.
  2. [Abstract, Introduction, §4.2.1, Table 2] The headline numbers are internally inconsistent. The abstract and introduction state 'extends the output length by 2000%' (20x), but §4.2.1 says 'more than > 7x' and '8–10x' (700–1000%). Similarly, the abstract's 'over 250x' latency amplification is not supported by Table 2: the per-model latency ratios are approximately 105x (Qwen), 104x (Llama), 251x (Ministral), and 20x (Gemma). The 250x figure appears to be the single best model, not an aggregate. Please reconcile these numbers and report raw values with a clear definition of the reported aggregation.
  3. [§3.2, Eq. (6), Eq. (7), Algorithm 1] The core optimization loop is not operationalizable. Eq. (6) defines F_S as 'Rel(F,B) − λ·|F|' without specifying the semantic relevance function Rel or its range; minimizing this expression does not correspond to any described compression step. Eq. (7) defines R_a as a ratio of set-cardinalities, but the coverage sets L(T_i) and the extraction operator L_F(F) are never defined. No values for K, s, or λ are given outside the ablations, and the termination condition R_a > 0.95 in Algorithm 1 is not reported as having been met. The method section must provide concrete definitions, pseudocode, and parameter values so the procedure can be reproduced.
  4. [§4.4.1, Table 3, Table 10] The claim that 'AutoDoS successfully pushed 90% of the target model close to their performance ceilings' is contradicted by the data. In Table 3, the Llama8B row shows GPT4o-mini producing only 10 tokens and Ministral8B producing 1175 tokens; the DeepSeek row shows GPT4o at 9769, Qwen14B at 2019, and Qwen32B at 2671 tokens, all far below their respective 16k/8k ceilings. Section 4.4.1's statement that 'all experimental models reaching their performance ceilings' (for input-switching) is also not supported by Table 10, which contains many sub-ceiling entries. Please state the exact success criterion used to compute '90%' and report per-cell results without over-aggregation.
  5. [§3.3, Appendix B, Table 6] The Length Trojan mechanism rests on an unverified premise. Appendix B, Eqs. (10)-(12), assumes the model's security filter estimates output length from the stated word-count requirement L_σ and allows generation only if the estimate is below a safety threshold, while the generation phase ignores L_σ because of 'detail' instructions. No evidence is provided that such a separate length-estimation filter exists in any target model. The observed '200–400 token sweet spot' in Table 6 is equally consistent with ordinary instruction-following (since the example prompt requests at least 400 words per sub-question). Please test the trojan against a model that enforces the stated length limit, or otherwise provide evidence that the posited filter mechanism is real rather than an artifact of prompt design.
minor comments (5)
  1. [§3.1, Eq. (4)] The definition of Π[i] as a sorted path uses a key that is itself a coverage set; the meaning of 'descending order based on key' when the key is a set is unclear and should be spelled out concretely.
  2. [§4.3.2, Table 2] The text states that 'Normal user waiting time accounts for 12.0% of the total access time' and that total access times rise from 15.4 to 277.2 seconds, but none of these values appear in Table 2. Please clarify the simulation protocol and define how these percentages and totals are derived from the reported throughput/latency numbers.
  3. [§4.4.2, Figure 5] The discussion of perplexity detection is confused: the text mentions a 'baseline of 0.41' and says AutoDoS scores are 'significantly higher', but 0.41 is the similarity score from Table 5, not a perplexity threshold. Please report actual perplexity values and thresholds, and separate the perplexity and similarity discussions.
  4. [Appendix G, Abstract] The code URL is inconsistent: the abstract and introduction give https://github.com/shuita2333/AutoDoS, while Appendix G gives https://github.com/Captain-zhangw/AutoDoS. Please unify the link and verify the repository is publicly accessible.
  5. [General] No variance or error-bar information is provided for any experimental result. Since LLM outputs are stochastic and the paper's claims are quantitative, please report the number of independent runs and standard deviations (or confidence intervals) for the output-length and latency measurements.

Circularity Check

0 steps flagged · score 0.0 of 10

No load-bearing circularity: the reported amplification is an empirical instruction-following result, and the missing flat write-long baseline is a comparison gap, not a derivation back to the paper's own inputs.

full rationale

I walked the claimed derivation chain: DoS Attack Tree construction (Sec. 3.1), transferability-driven iterative optimization (Sec. 3.2), the Length Trojan (Sec. 3.3), and the experimental claims in Sec. 4 and the appendices. No step reduces by the paper's own equations to its own inputs, and no load-bearing premise is carried by a self-citation. The only overlapping-author citations (e.g., earlier works involving co-author Yang Liu) appear in related-work enumerations and are not used to justify the attack mechanism or to rule out alternatives. Table 6 sweeps the Length Trojan's word-count parameter and selects 200-400 tokens; this is hyperparameter selection, not a fitted parameter relabeled as a prediction. Appendix B formalizes the Length Trojan with estimated and generated lengths (Eqs. 10-12), but Eq. 12 ('LO >> L_sigma') is an asserted design outcome rather than a derived theorem, and the paper validates it empirically in Table 6. That is an unproven modeling assumption, not a circular definition that makes the experimental result equivalent to the input. The most substantial scrutiny concerns the control condition: the Appendix G example contains explicit instructions such as 'Each question requires a response of at least 400 words' and 'My task: I must answer each question with at least 400 words', so the measured 16,384-token output is largely ordinary instruction-following. This is a genuine comparison weakness because the paper never tests a flat prompt that requests the same total length without the tree, iterative optimization, or Length Trojan, but it is a missing-baseline and correctness issue, not circularity in the sense of an equation or fitted value reducing to itself. The core algorithm's contribution is prompt construction, and the model's compliance is measured, not assumed by construction. Therefore, no significant circularity is present, and the score is 0.

Assumptions & free parameters 4 free parameters · 4 assumptions · 0 invented entities

The central claim rests on prompt-design choices (L_sigma, K, s, R_a, lambda) rather than on a derivation from fixed physical or mathematical constants. The main domain assumptions concern the existence and behavior of the model's length-estimation and security mechanisms, which are asserted but not independently verified. No new physical or conceptual entities are introduced beyond the named attack strategy 'Length Trojan', which is a prompt pattern rather than a postulated entity.

free parameters (4)
  • Length Trojan target L_sigma = 100, 200, 400, 1600 tokens; optimal 200-400
    The word-count requirement in the Trojan Section is hand-tuned across models; Table 6 shows output length varies dramatically with this value, so it is a free parameter fitted to maximize attack effectiveness.
  • Number of sub-questions K and breadth expansion size s = Not specified; example uses 25 questions
    The DoS Attack Tree construction requires choosing how many sub-questions to generate and how many child nodes to retain; these are not set by any rule or external benchmark.
  • Success threshold R_a = 0.95
    Algorithm 1 terminates when the judge-model success rate exceeds 95%; this threshold is chosen by the authors and affects the resulting prompt.
  • Trade-off factor lambda in Eq. 6 = Not specified
    The feedback compression function Rel() includes a free parameter lambda that controls the compression degree, but the paper never assigns it a value or a fitting procedure.
assumptions (4)
  • domain assumption Target model's security mechanism estimates output length from the explicit word-count requirement in the prompt and compares it to a safety threshold L_safe (Eq. 10).
    This is asserted in Appendix B without empirical evidence that such a length-estimation mechanism exists or that it uses the stated word count.
  • domain assumption During generation, the model prioritizes detailed-instruction prompts over the explicit length constraint, yielding LO much greater than L_sigma (Eq. 12).
    The entire Length Trojan rests on this instruction-priority assumption; the paper only shows empirical outputs, not a mechanism or a verified condition.
  • domain assumption The judge model G_J reliably determines whether each sub-question received an adequate response, enabling reliable R_a computation (Eqs. 6-7).
    The success rate and iterative optimization depend on judge evaluations, but the judge's reliability is not measured or bounded.
  • standard math Tarjan's LCA algorithm is applicable to the DoS Attack Tree path pruning (Section 3.1).
    Tarjan's offline algorithm is a standard graph algorithm; applying it to tree paths is mathematically sound.

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Cite this review

Pith. "Pith review of Crabs: Consuming Resource via Auto-generation for LLM-DoS Attack under Black-box Settings." pith.science (2026). https://pith.science/paper/XXLZRFXR

@misc{pith2026241213879,
  author       = {Pith},
  title        = {Pith review of: Crabs: Consuming Resource via Auto-generation for LLM-DoS Attack under Black-box Settings},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/XXLZRFXR}},
  note         = {Machine review of arXiv:2412.13879}
}
abstract

Large Language Models (LLMs) have demonstrated remarkable performance across diverse tasks yet still are vulnerable to external threats, particularly LLM Denial-of-Service (LLM-DoS) attacks. Specifically, LLM-DoS attacks aim to exhaust computational resources and block services. However, existing studies predominantly focus on white-box attacks, leaving black-box scenarios underexplored. In this paper, we introduce Auto-Generation for LLM-DoS (AutoDoS) attack, an automated algorithm designed for black-box LLMs. AutoDoS constructs the DoS Attack Tree and expands the node coverage to achieve effectiveness under black-box conditions. By transferability-driven iterative optimization, AutoDoS could work across different models in one prompt. Furthermore, we reveal that embedding the Length Trojan allows AutoDoS to bypass existing defenses more effectively. Experimental results show that AutoDoS significantly amplifies service response latency by over 250$\times\uparrow$, leading to severe resource consumption in terms of GPU utilization and memory usage. Our work provides a new perspective on LLM-DoS attacks and security defenses. Our code is available at https://github.com/shuita2333/AutoDoS.

Figures

Figures reproduced from arXiv: 2412.13879 by the authors.

Figure 1
Figure 1. AutoDoS algorithm implementation. Step 1: Create a DoS Attack Tree to construct the Initial DoS Prompt. Step 2: Refine iteratively the DoS Attack Tree to improve the effectiveness of AutoDoS. Step 3: Wrap the Assist Prompt by implanting Length Trojan. Assist Prompt which assists the Basic DoS Prompt in achieving better transferability across diverse models. Additionally, we introduce the Length Trojan to conceal the… view at source ↗
Figure 2
Figure 2. This figure illustrates initial Basic DoS Prompt [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. These figures compare between the AutoDoS method and typical access requests. The left figure depicts the ratio of output length to the model’s output window for different models. The right figure shows the output time duration. 3.3 Length Trojan Strategy Some LLMs incorporate security defenses (Bai et al., 2022a; Dai et al., 2023; Liao and Sun, 2024) to mitigate attacks to a certain extent. We found that these secu… view at source ↗
Figures from the paper (6 more)
Figure 4
Figure 4. Figure 4: The figure shows memory consumption in an [PITH_FULL_IMAGE:figures/full_fig_p006_4.png]
Figure 5
Figure 5. Figure 5: Detecting the stealthiness of AutoDoS in Input [PITH_FULL_IMAGE:figures/full_fig_p007_5.png]
Figure 6
Figure 6. Figure 6: The left picture shows the generation result of Initial DoS Prompt, and the right picture shows the [PITH_FULL_IMAGE:figures/full_fig_p009_6.png]
Figure 7
Figure 7. Figure 7: The picture on the left shows the generation of the complete DoS Attack Tree, and the picture on the right [PITH_FULL_IMAGE:figures/full_fig_p009_7.png]
Figure 8
Figure 8. Figure 8: Each sub-graph in the figure represents an independent test model. For each model, we evaluated the [PITH_FULL_IMAGE:figures/full_fig_p014_8.png]
Figure 9
Figure 9. Figure 9: Comparison of changes in model response length under different Length Trojan requirements: (a) [PITH_FULL_IMAGE:figures/full_fig_p015_9.png]

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