{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:TOL7SXNBBLBB6TXAOZ54NF5QBA","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":"3e909fd3ab77fcc298782c445ef733eff7353c96cd46e886e06d434accb8ba00","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-09T14:38:26Z","title_canon_sha256":"4b1a8bba9d6d2e10bda1cb854c2f498e8c24954b113a85270db01cc9d38386a5"},"schema_version":"1.0","source":{"id":"2606.10929","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10929","created_at":"2026-06-10T01:10:48Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10929v1","created_at":"2026-06-10T01:10:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10929","created_at":"2026-06-10T01:10:48Z"},{"alias_kind":"pith_short_12","alias_value":"TOL7SXNBBLBB","created_at":"2026-06-10T01:10:48Z"},{"alias_kind":"pith_short_16","alias_value":"TOL7SXNBBLBB6TXA","created_at":"2026-06-10T01:10:48Z"},{"alias_kind":"pith_short_8","alias_value":"TOL7SXNB","created_at":"2026-06-10T01:10:48Z"}],"graph_snapshots":[{"event_id":"sha256:1957c56c017b1bd883bd964ec264a540a7134eccb6dbee469b3eab58c7a23f0d","target":"graph","created_at":"2026-06-10T01:10:48Z","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/2606.10929/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Task vectors, LoRA, activation steering, and random search around pretrained weights all suggest that learned behaviour can be controlled by linear directions. We ask which linear structures actually exist and on what scale. In a synthetic multitask transformer and LoRA adapters on DistilGPT-2 / GPT-2 we find strong local low-rank task-gradient structure but reject the fixed-task-plane hypothesis: static bases miss the recovery direction, and the useful basis drifts substantially within 100 steps. However, the first recovery updates form a trajectory-prefix basis capturing 77% of the LoRA reco","authors_text":"Irina Piontkovskaia, Sergey Nikolenko","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-09T14:38:26Z","title":"Recoverable but Not Stationary:Local Linear Structures in Weights and Activations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10929","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":"sha256:989b3a9ae7e3df54b45c9c432e9dc9b53e16a6ef088584ea50824a9e294a1050","target":"record","created_at":"2026-06-10T01:10:48Z","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":"3e909fd3ab77fcc298782c445ef733eff7353c96cd46e886e06d434accb8ba00","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-09T14:38:26Z","title_canon_sha256":"4b1a8bba9d6d2e10bda1cb854c2f498e8c24954b113a85270db01cc9d38386a5"},"schema_version":"1.0","source":{"id":"2606.10929","kind":"arxiv","version":1}},"canonical_sha256":"9b97f95da10ac21f4ee0767bc697b00831122e01d57e0676214898f15f289b84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b97f95da10ac21f4ee0767bc697b00831122e01d57e0676214898f15f289b84","first_computed_at":"2026-06-10T01:10:48.624730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:10:48.624730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zx9ltQmF6vIfRaCQpljMqQbGJVuP6AhtPt03SXdFaRZWiZGRJfxhCRhRs0LvrzbzwbZRTAt3Xi1pH66Sy7yyAQ==","signature_status":"signed_v1","signed_at":"2026-06-10T01:10:48.625606Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.10929","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:989b3a9ae7e3df54b45c9c432e9dc9b53e16a6ef088584ea50824a9e294a1050","sha256:1957c56c017b1bd883bd964ec264a540a7134eccb6dbee469b3eab58c7a23f0d"],"state_sha256":"5f873cbe1d67e5368a431fe215ad593cded1a5ed7175fe2b529a7d685323ddd3"}