cs.AIAug 6, 2026

HERALD: Counterfactual Audits and Minimal Repairs for Proof-of-Retrieval Rewards

Authors: Zhuowen LiuBohan CuiYinShang GuoYuting WangHao Li

Organizations: The Chinese University of Hong Kong · Fudan University · Nanjing University · Institute of Software, Chinese Academy of Sciences · The Hong Kong University of Science and Technology

Abstract

Search-agent rewards mix answer quality, citation grounding, tool cost, and anti-hacking terms; a high score therefore need not imply that cited evidence was retrieved, and added penalties can cancel. We introduce HERALD, an offline audit that applies exact same-question interventions, separates candidate-visible from oracle information, and enumerates detector contracts before policy optimization. On four Qwen3-8B pools from HotpotQA, 2WikiMultiHopQA, and MuSiQue, R0R_0 rejects search deletion and fake IDs, but a label-free citation-laundering attack succeeds. A complete 232^3 ablation identifies targeted strengthening of LL---citing a corpus passage absent from the retrieved evidence---as the observed inclusion-minimal repair: R[L]R[L] has zero empirical ASR with a 0.50% one-sided cluster upper bound. The gap persists across pool rules, a visible BM25 attacker, and four models; broader hardening remains vulnerable when the attack removes an oracle support-ID penalty. Under strict 5M-token matched training evaluated on 256 paired questions per benchmark, R[L]R[L] meets the EM non-inferiority gate on HotpotQA and 2Wiki but not MuSiQue. Equal-suite citation precision and support recall improve by 2.02 and 1.46 points, unsupported citations fall by 1.69, and laundering attackability falls on 2Wiki and MuSiQue. Natural LL is not reduced, and the detector appears in only 18 of 58,368 training trajectories. HERALD thus separates robust scoring, sparse learning signal, and policy transfer.

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