When Trust Meets Truth: Trust-Truth Separability in LLM-as-Judge
Authors: Xin Sun, Di Wu, Yuchen Guo, Jiahuan Pei, Isao Echizen, Abdallah El Ali, Saku Sugawara
Organizations: National Institute of Informatics (NII), Japan · University of Amsterdam, the Netherlands · University of Tokyo, Japan · Vrije Universiteit Amsterdam, the Netherlands · Centrum Wiskunde & Informatica (CWI), the Netherlands · Utrecht University, the Netherlands
LLM-as-Judge systems can produce multi-dimensional evaluations, such as trustworthiness, reliability, and factuality, and these outputs are often interpreted as independent evidence. We test this assumption for a common pair of judgments: trust scoring and binary truth classification. On correctness-controlled QA, LLM judges align trust scores with truth verdicts more tightly than human behavioral reference, suggesting weaker separations between trust and truth judgment. We then apply stress tests by changing only source cues of identical QA between Human and AI. Source attribution shifts not only trust scores but also truth verdicts and logit-derived correct-side probabilities. Results show that current LLM-as-Judge protocols should not treat trust scores as independent evidence for truth judgments.
Figures & tables
Figure 1: Overview of the study. We construct correctness-controlled QA pairs across domains with source-counterfactual versions. LLM and human judges provide two judgments for each item: trust scores and a binary truth verdict. We compare human and LLM trust–truth relations, then use source attribution as a stress test to examine whether LLM trust and truth judgments remain separable or shift together under a trust-relevant perturbation.
Judge
Gold-Correctness
Trust Score
Truth Accuracy
Human Judges
Correct QA
4.66
0.77
Incorrect QA
4.14
0.88
LLM-as-Judge
Correct QA
6.60
0.68
Incorrect QA
6.10
0.63
Table 1: Judgments by humans and LLMs. Truth Accuracy is the accuracy in identifying factual correctness.
Domain
Model
Trust Scoring Judgment
Truth Binary Judgment
Correct
Incorrect
Correct
Incorrect
Fact-Checking
GPT-5.4
4.65 ▲ / 3.75 ▼
2.54 ▲ / 2.09 ▼
0.68 ▲ / 0.66 ▼
0.87 ▼ / 0.89 ▲
Cld-Sonnet-4.6
5.37 ▲ / 4.53 ▼
3.15 ▲ / 2.74 ▼
0.84 ▲ / 0.81 ▼
0.82 ▼ / 0.87 ▲
Llama-3.3-70B
5.63 ▲ / 5.33 ▼
5.25 ▲ / 4.97 ▼
0.87 ▲ / 0.83 ▼
0.39 ▼ / 0.45 ▲
GPT-oss-120B
4.88 ▲ / 4.33 ▼
3.65 ▲ / 3.11 ▼
0.66 ▲ / 0.61 ▼
0.64 ▼ / 0.73 ▲
Qwen-3.6-35B
5.48 ▲ / 4.94 ▼
4.11 ▲ / 3.41 ▼
0.83 ▲ / 0.80 ▼
0.45 ▼ / 0.55 ▲
Table 2: LLM trust and truth judgments under Human vs AI sources across domains. Trust Scoring gives mean trust ratings; Truth Binary Judgment gives the accuracy of factual correctness. Arrows indicate cue-induced shift.
Domain
Model
Trust Scoring Judgment
Truth Binary Judgment
Correct
Incorrect
Correct
Incorrect
Fact-Checking
GPT-5.4
4.52 / 4.65 ▲ / 3.75 ▼
2.24 / 2.54 ▲ / 2.09 ▼
0.67 / 0.68 ▲ / 0.66 ▼
0.87 / 0.87 ▼ / 0.89 ▲
Cld-Sonnet-4.6
5.14 / 5.37 ▲ / 4.53 ▼
2.87 / 3.15 ▲ / 2.74 ▼
0.83 / 0.84 ▲ / 0.81 ▼
0.84 / 0.82 ▼ / 0.87 ▲
Llama-3.3-70B
5.57 / 5.63 ▲ / 5.33 ▼
5.13 / 5.25 ▲ / 4.97 ▼
0.85 / 0.87 ▲ / 0.83 ▼
0.42 / 0.39 ▼ / 0.45 ▲
GPT-oss-120B
4.81 / 4.88 ▲ / 4.33 ▼
3.60 / 3.65 ▲ / 3.11 ▼
0.63 / 0.66 ▲ / 0.61 ▼
0.67 / 0.64 ▼ / 0.73 ▲
Qwen-3.6-35B
5.21 / 5.48 ▲ / 4.94 ▼
3.79 / 4.11 ▲ / 3.41 ▼
0.81 / 0.83 ▲ / 0.80 ▼
0.49 / 0.45 ▼ / 0.55 ▲
Table 3: LLM trust and truth judgments across three conditions per cell, reported as Control / Human-cue / AI-cue . Trust Scoring gives mean trust ratings; Truth Binary Judgment gives accuracy of factual correctness. Arrows mark each cue relative to control: ▲ above control, ▼ below control (no arrow = within ±0.005 of control).
Figure 2: Source cues shift Trust Scoring , Binary Truth judgments, and the correct-side probability when making truth judgment by Llama-3.3-70B. Orange denotes Human source cues, and blue denotes AI source cues.
Appendix figures & tables3 assets
Supplementary material from the paper’s appendix.
Appendix
Field
Template
Prefix
You are a JSON-only rating expert. Return ONLY one valid JSON object. Any non-JSON output is invalid. No reasoning. No explanations. No markdown. No comments. No headings. No extra text.
Question Q
{QUESTION}
Answer A
{ANSWER} with / without source attribution as either from Human or AI
Task
Rate the answer rigorously and strictly based on the following dimensions using a 1–7 Likert scale. Scale: 1 = extremely negative 2 = negative 3 = somewhat negative 4 = neutral/mixed 5 = somewhat positive 6 = positive 7 = extremely positive Dimensions: credibility objectivity reliability trustworthiness reliance Rating rules: - Be strict: Lower scores for false, unsupported, vague, misleading, biased, or unclear content. - Use integers only and give diverse ratings. - Do not overuse 7; reserve it only for exceptional information with strong evidence. - Do not use strings. - Do not generate explanations and reasoning. - Do not omit or rename keys. You must return exactly this JSON object with integer values only for each key: "credibility": " ", "objectivity": " ", "reliability": " ", "trustworthiness": " ", "reliance": " "
Appendix
Table 4: LLM prompt template used for trust scoring.
Field
Template
Prefix
You will receive:
Question Q
{QUESTION}
Answer A
{ANSWER} with / without source attribution as either from Human or AI
Task
Judge whether the above answer is correct or incorrect. Rules: - Do not output your reasoning, analysis, explanations, or any text before or after the JSON. No other text. - You Must generate with ONLY JSON objects: either "correctness": "correct" or "correctness": "incorrect".
Appendix
Table 5: LLM prompt template used for truth judgment.
Outcome
Source Pair Effect
95% CI
Pooled
Trust rating
+0.57 pts
[+0.54,+0.60]
P(Correct)
+3.92 pp
[+3.29,+4.65]
correct QA
+4.16 pp
[+3.29,+5.14]
incorrect QA
+3.67 pp
[+2.91,+4.53]
Confidencetrue
+5.35 pp
[+4.93,+5.80]
Appendix
Table 6: Matched-pair Human–AI source-effect tests under identical QA content. Pooled rows estimate average Human-minus-AI matched-pair differences over all evaluated LLM judges and domains. Domain rows (i.e., Fact-Checking, HealthQA, and GeneralQA) average over all evaluated LLM judges within each domain. Each effect is the average Human-minus-AI shift with a 95% item-cluster bootstrap confidence interval (CI). CIs are item-cluster bootstrap CIs. Confidence denotes the logit-derived Correct−JudgeConfidence .