{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ZY2FY4Q6TZZXPFWASFQ2E56LXL","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":"ed3af7fb6d709e6bdded704f4decd8d09a3f0214292e444276ca600da11c4522","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-26T12:55:02Z","title_canon_sha256":"ba34b65d2b89d9ed8593af6de3e1c59e00e6e853926ff43651fa81cea3e2d602"},"schema_version":"1.0","source":{"id":"2605.27482","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.27482","created_at":"2026-05-28T00:05:20Z"},{"alias_kind":"arxiv_version","alias_value":"2605.27482v1","created_at":"2026-05-28T00:05:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.27482","created_at":"2026-05-28T00:05:20Z"},{"alias_kind":"pith_short_12","alias_value":"ZY2FY4Q6TZZX","created_at":"2026-05-28T00:05:20Z"},{"alias_kind":"pith_short_16","alias_value":"ZY2FY4Q6TZZXPFWA","created_at":"2026-05-28T00:05:20Z"},{"alias_kind":"pith_short_8","alias_value":"ZY2FY4Q6","created_at":"2026-05-28T00:05:20Z"}],"graph_snapshots":[{"event_id":"sha256:72dc196d2f7140a97f93903cf5d34c7fb804e2530a23d1e5f316b828c7c5f2e6","target":"graph","created_at":"2026-05-28T00:05:20Z","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/2605.27482/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While orthogonal subspace methods try to mitigate task interference in Continual Learning (CL), they often suffer from energy diffusion across the basis, hindering knowledge compaction and exhausting capacity for future tasks. We observe that output feature drift induced by parameter updates is inherently low-rank, and theoretically prove that preserving parameters along the principal directions of this drift minimizes the output reconstruction error. Motivated by this, we propose \\textbf{E}nergy-Concentrated and \\textbf{E}nergy-Ordered \\textbf{Lo}w-\\textbf{R}ank \\textbf{A}daptation (E$^2$-LoR","authors_text":"Lei Qi, Longhua Li, Qi Tian, Xin Geng","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-26T12:55:02Z","title":"Energy-Structured Low-Rank Adaptation for Continual Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.27482","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":"sha256:06807139d77d4acc0ed170ddbfe496a6e697d018b84a3d3e4a9cda860d011b89","target":"record","created_at":"2026-05-28T00:05:20Z","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":"ed3af7fb6d709e6bdded704f4decd8d09a3f0214292e444276ca600da11c4522","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-26T12:55:02Z","title_canon_sha256":"ba34b65d2b89d9ed8593af6de3e1c59e00e6e853926ff43651fa81cea3e2d602"},"schema_version":"1.0","source":{"id":"2605.27482","kind":"arxiv","version":1}},"canonical_sha256":"ce345c721e9e737796c09161a277cbbac3abd143b8f034b477a79a1fa66936b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce345c721e9e737796c09161a277cbbac3abd143b8f034b477a79a1fa66936b4","first_computed_at":"2026-05-28T00:05:20.611402Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-28T00:05:20.611402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JV5r57yWbtRdFjCobU85BZyLB4UOJsOyh9XyPtNtQEiFPyMLyNNmV3eLZ/TSOSocFLIHDKTZQ4EBfZwR1FKCCw==","signature_status":"signed_v1","signed_at":"2026-05-28T00:05:20.612132Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.27482","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06807139d77d4acc0ed170ddbfe496a6e697d018b84a3d3e4a9cda860d011b89","sha256:72dc196d2f7140a97f93903cf5d34c7fb804e2530a23d1e5f316b828c7c5f2e6"],"state_sha256":"fb156094f7132aa0c13fa21d83531ca72faf16a695c8df15d7d0c5c094589eb1"}