{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:KUWBA5H3WVSNSJWQMM4TLNDJIN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d1c2ad089a7779722da5f6c4b2d155c155a115dc2ec682318eeff71a83c8024a","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-09-29T12:02:05Z","title_canon_sha256":"9b77929d910a1df4c43a05c9af2e56ce2eaaf006e350a3b6d17625d44c4c76a2"},"schema_version":"1.0","source":{"id":"2509.24653","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.24653","created_at":"2026-07-14T01:22:01Z"},{"alias_kind":"arxiv_version","alias_value":"2509.24653v2","created_at":"2026-07-14T01:22:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.24653","created_at":"2026-07-14T01:22:01Z"},{"alias_kind":"pith_short_12","alias_value":"KUWBA5H3WVSN","created_at":"2026-07-14T01:22:01Z"},{"alias_kind":"pith_short_16","alias_value":"KUWBA5H3WVSNSJWQ","created_at":"2026-07-14T01:22:01Z"},{"alias_kind":"pith_short_8","alias_value":"KUWBA5H3","created_at":"2026-07-14T01:22:01Z"}],"graph_snapshots":[{"event_id":"sha256:a4a330d16a21a34b7bf38528721fd98558f0133baf08a6810090a93cfa0b34c6","target":"graph","created_at":"2026-07-14T01:22:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2509.24653/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Large Language Models (LLMs) excel at multi-hop reasoning in distribution, yet fail on unseen compositions, a phenomenon known as the curse of two-hop reasoning. In this work, we argue that this phenomenon can be attributed to a missing supervision on the bridge entity. We formalize this gap by introducing identity bridge, a minimal supervision that enforces a identity mapping on bridge tokens. Under this supervision, even a one-layer transformer with uniform attention (Emb-MLP) can achieve out-of-distribution (OOD) two-hop generalization. We provide a theoretical analysis demonstrating that i","authors_text":"Pengxiao Lin, Zheng-An Chen, Zhi-Qin John Xu","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-09-29T12:02:05Z","title":"Unveiling the Mechanisms of Multi-Hop Reasoning in Transformers via Identity Bridge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.24653","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f230a6fee25dc6cb60b46f0a2fc892b1030b55d2137b2db8c3818c2a63cf1a84","target":"record","created_at":"2026-07-14T01:22:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d1c2ad089a7779722da5f6c4b2d155c155a115dc2ec682318eeff71a83c8024a","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-09-29T12:02:05Z","title_canon_sha256":"9b77929d910a1df4c43a05c9af2e56ce2eaaf006e350a3b6d17625d44c4c76a2"},"schema_version":"1.0","source":{"id":"2509.24653","kind":"arxiv","version":2}},"canonical_sha256":"552c1074fbb564d926d0633935b469434b9346c520401630bcfdc34b4902026b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"552c1074fbb564d926d0633935b469434b9346c520401630bcfdc34b4902026b","first_computed_at":"2026-07-14T01:22:01.199263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T01:22:01.199263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t6TV0t4erx/HGl+rrT9gFD1r7Kycx2bCiLa0B73T4ZXEV8vqOMa/p8RBYXcaP1aEYx+dyi+k8xdNwWenkEwLDg==","signature_status":"signed_v1","signed_at":"2026-07-14T01:22:01.200452Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.24653","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f230a6fee25dc6cb60b46f0a2fc892b1030b55d2137b2db8c3818c2a63cf1a84","sha256:a4a330d16a21a34b7bf38528721fd98558f0133baf08a6810090a93cfa0b34c6"],"state_sha256":"8f75412eb5c6033f77d7ca7e5d85416c59ecfab13a3cb9021dfd7bc2935737b1"}