{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:B3ROC4YST44JRD3ACWASKF657K","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":"b094ce95952b23a14e5709efabc373be7b31fe9e55b7c590b9f4aa0c9d89ebf9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-06-10T17:59:31Z","title_canon_sha256":"8338153ea87a7bd32e288a859f016d8dab30390199d5a04c4555077fc5de7c15"},"schema_version":"1.0","source":{"id":"2506.09048","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.09048","created_at":"2026-07-05T11:19:17Z"},{"alias_kind":"arxiv_version","alias_value":"2506.09048v1","created_at":"2026-07-05T11:19:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.09048","created_at":"2026-07-05T11:19:17Z"},{"alias_kind":"pith_short_12","alias_value":"B3ROC4YST44J","created_at":"2026-07-05T11:19:17Z"},{"alias_kind":"pith_short_16","alias_value":"B3ROC4YST44JRD3A","created_at":"2026-07-05T11:19:17Z"},{"alias_kind":"pith_short_8","alias_value":"B3ROC4YS","created_at":"2026-07-05T11:19:17Z"}],"graph_snapshots":[{"event_id":"sha256:690118082338f47a85024578e631efddba97ed6ef0f29d07bb52337a2c56fd9f","target":"graph","created_at":"2026-07-05T11:19:17Z","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/2506.09048/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Task vectors offer a compelling mechanism for accelerating inference in in-context learning (ICL) by distilling task-specific information into a single, reusable representation. Despite their empirical success, the underlying principles governing their emergence and functionality remain unclear. This work proposes the Linear Combination Conjecture, positing that task vectors act as single in-context demonstrations formed through linear combinations of the original ones. We provide both theoretical and empirical support for this conjecture. First, we show that task vectors naturally emerge in l","authors_text":"Jiachen Jiang, Xia Ning, Yuxin Dong, Zhihui Zhu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-06-10T17:59:31Z","title":"Understanding Task Vectors in In-Context Learning: Emergence, Functionality, and Limitations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.09048","kind":"arxiv","version":1},"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:f6b82b8bc79074db9c31bf4e30fa6da96dbf6aecde7677c8176ce0332da20fd8","target":"record","created_at":"2026-07-05T11:19:17Z","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":"b094ce95952b23a14e5709efabc373be7b31fe9e55b7c590b9f4aa0c9d89ebf9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-06-10T17:59:31Z","title_canon_sha256":"8338153ea87a7bd32e288a859f016d8dab30390199d5a04c4555077fc5de7c15"},"schema_version":"1.0","source":{"id":"2506.09048","kind":"arxiv","version":1}},"canonical_sha256":"0ee2e173129f38988f6015812517ddfaabd82a91a89d857ee940d104de26da84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ee2e173129f38988f6015812517ddfaabd82a91a89d857ee940d104de26da84","first_computed_at":"2026-07-05T11:19:17.010066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:19:17.010066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+HKr014x04gSkbgx8bedv8KGlLXxBn9g0V6fr9P++lWXQQN8G/wRXTIb3kqBUps/kwE+U2JC6O1Uz40pJTY7Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:19:17.010560Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.09048","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6b82b8bc79074db9c31bf4e30fa6da96dbf6aecde7677c8176ce0332da20fd8","sha256:690118082338f47a85024578e631efddba97ed6ef0f29d07bb52337a2c56fd9f"],"state_sha256":"8eda2614025d5617c41380a82b516975d4c1cc2019ba21757608414183deb0ee"}