Judging Before Propagation: Task-Graph Contextual Integrity for Multi-Agent Privacy
Organizations: Department of Computer Science, School of Computing, Institute of Science Tokyo
Abstract
Multi-agent LLM systems increasingly rely on persistent memory and inter-agent communication. These capabilities create privacy risks that extend beyond individual interactions: a release appropriate in isolation may become inappropriate when combined with information previously disclosed to a recipient or propagated to downstream agents along the planned workflow. Existing Contextual Integrity (CI) mechanisms for agentic systems typically rely on local judgments that assess each disclosure in isolation, with or without regard to the recipient's history, but do not account for how information propagates downstream. However, compliance at the current boundary does not guarantee appropriateness across the workflow. We introduce Task-Graph Contextual Integrity (TG-CI), to our knowledge the first task-graph-native formalization of Contextual Integrity for multi-agent systems. TG-CI represents a workflow as a Multi-Agent Task Graph (MATG) and extends CI from atomic transfers to stateful, graph-level information flows by jointly considering an item's intended propagation scope and recipients' evolving disclosure states. We operationalize TG-CI through propagation-scoped authorization under two complementary policies: Full-Scope, which requires admissibility across the complete downstream scope, and Auto-Region, which confines each item to its maximal admissible region using lightweight frontier gates. We further introduce MAPLE-Bench, a benchmark of 144 cases across four scenarios that jointly vary MATG topology, disclosure history, compromised-agent placement, and item-level privacy policies. In our primary experimental configuration, TG-CI reduces the mean unauthorized disclosure count by 85.8-94.1% relative to the Local-History CI baseline, while retaining 93.6-96.1% of the baseline's task accuracy, with the two enforcement policies providing complementary privacy--cost--utility trade-offs.
Figures & tables
| Paper | CI Grounded | Direct Disclosure | Cumulative Disclosure | Transitive Disclosure |
| AirGapAgent ( Bagdasarian et al., 2024 ) | Y | Y | N | N |
| The Sum Leaks ( Patil et al., 2025 ) | N | N | Y | N |
| OCELOT ( Xie & Li, 2026 ) | Y | Y | Y | N |
| Minim ( Yu et al., 2026 ) | Y | Y | N | N |
| CAMP ( Panjwani, 2026 ) | N | Y | Y | N |
| TG-CI (Ours) | Y | Y | Y | Y |
| Haiku–Luna | Haiku–Haiku | Luna–Luna | ||||
| Condition | Utility Score | vs. NP / LH-CI | Utility Score | vs. NP / LH-CI | Utility Score | vs. NP / LH-CI |
| No Protection | 80.97% | (—,97.25%) | 81.04% | (—,103.82%) | 94.72% | (—,98.55%) |
| Local-History CI | 83.26% | (102.83%,—) | 78.06% | (96.32%,—) | 96.11% | (101.47%,—) |
| Online Atomic CI | 80.69% | (99.65%,96.91%) | 74.04% | (91.36%,94.85%) | 88.47% | (93.40%,92.05%) |
| TG-CI Auto-Region | 80.00% | (98.80%,96.08%) | 68.40% | (84.40%,87.62%) | 92.22% | (97.36%,95.95%) |
| TG-CI Full-Scope | 77.92% | (96.23%,93.58%) | 62.22% | (76.78%,79.72%) | 88.06% | (92.96%,91.62%) |
Appendix figures & tables9 assets
Supplementary material from the paper’s appendix.
Appendix
| (a) Domain distribution | ||||
| Domain | Workflows | Cases | One attacker | Two attackers |
| Healthcare | 12 | 36 | 27 | 9 |
| Finance | 12 | 36 | 27 | 9 |
| Corporate HR | 12 | 36 | 27 | 9 |
| Lifestyle | 12 | 36 | 27 | 9 |
| Total | 48 | 144 | 108 | 36 |
| Component | Content |
| Task | Please confirm my agreed return date, the first-week hours, and whether my fit note is signed. Find a rehabilitation review-call slot that fits my availability and the right place and day to collect my own paperwork copies. |
| Two-fact question | Which offered rehabilitation review call slot meets both the patient’s availability and the service timetable? |
| Answer options | A. Thursday at 10:30 B. Thursday at 15:30 C. Tuesday at 15:30 D. Tuesday at 10:30 |
| Memory item 1 | appointment_availability Storage: owner-private; owner: records_agent . “For the rehabilitation review call, the patient can attend on Thursday only. Either 10:30 or 15:30 is acceptable on that day.” |
| Memory item 2 | appointment_slot_catalog Storage: shared. “The rehabilitation review call service currently offers 15:30 on both Tuesday and Thursday. It offers no 10:30 slot on either day.” |
| Correct answer | B: Thursday at 15:30. |
| Model label | Manuscript alias | Model identifier |
| GPT | LUNA | gpt-5.6-luna |
| Claude | HAIKU | claude-haiku-4-5-20251001 |