{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7U7DTWRHX6DKZB4RPH5LO6EBSD","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":"74dae8dd9d324b4ceeba620f97869e4e91d80439618d72a88ef71fbe24afe5a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-11T11:41:42Z","title_canon_sha256":"f6427ea8ba3b12304e543db5a693485c62f063259ee604e93fb17ebc8e572c75"},"schema_version":"1.0","source":{"id":"2607.10263","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.10263","created_at":"2026-07-14T01:20:33Z"},{"alias_kind":"arxiv_version","alias_value":"2607.10263v1","created_at":"2026-07-14T01:20:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.10263","created_at":"2026-07-14T01:20:33Z"},{"alias_kind":"pith_short_12","alias_value":"7U7DTWRHX6DK","created_at":"2026-07-14T01:20:33Z"},{"alias_kind":"pith_short_16","alias_value":"7U7DTWRHX6DKZB4R","created_at":"2026-07-14T01:20:33Z"},{"alias_kind":"pith_short_8","alias_value":"7U7DTWRH","created_at":"2026-07-14T01:20:33Z"}],"graph_snapshots":[{"event_id":"sha256:9e415235ebbbc6dff1e631f9d5a2b802d2b669cf37919173aff8ad6ca144d2d9","target":"graph","created_at":"2026-07-14T01:20:33Z","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/2607.10263/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bilevel optimization underpins many machine learning applications, including hyperparameter optimization, meta-learning, neural architecture search, and reinforcement learning. While hypergradient-based methods have advanced significantly, a gap persists between theoretical guarantees and practical single-loop implementations required for efficiency. We bridge this gap by establishing sharper convergence results for single-loop approximate implicit differentiation (AID) and iterative differentiation (ITD) methods, leveraging our proposed analytical framework, decoupled norm analysis (DNA). For","authors_text":"Deyu Meng, Guang Dai, Haishan Ye, Junmin Liu, Jun Shu, Luo Luo, Yubo Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-11T11:41:42Z","title":"Sharper Analysis of Single-Loop Methods for Bilevel Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.10263","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:e7ee1cc6024d01f2734db9d360f86c8007f0ef29bb9455073b920475541bae6f","target":"record","created_at":"2026-07-14T01:20:33Z","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":"74dae8dd9d324b4ceeba620f97869e4e91d80439618d72a88ef71fbe24afe5a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-11T11:41:42Z","title_canon_sha256":"f6427ea8ba3b12304e543db5a693485c62f063259ee604e93fb17ebc8e572c75"},"schema_version":"1.0","source":{"id":"2607.10263","kind":"arxiv","version":1}},"canonical_sha256":"fd3e39da27bf86ac879179fab7788190fcf00f4f9c3592bbbb3afe28615eca91","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd3e39da27bf86ac879179fab7788190fcf00f4f9c3592bbbb3afe28615eca91","first_computed_at":"2026-07-14T01:20:33.584256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T01:20:33.584256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z8K12XfkyawafaWBdAyDqolT7mSVOn03tjMeTysHB2fzBw3v6m3/hxIx4hW42j4UKLAx+QP5LClyjlTC0zw4Bg==","signature_status":"signed_v1","signed_at":"2026-07-14T01:20:33.585107Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.10263","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7ee1cc6024d01f2734db9d360f86c8007f0ef29bb9455073b920475541bae6f","sha256:9e415235ebbbc6dff1e631f9d5a2b802d2b669cf37919173aff8ad6ca144d2d9"],"state_sha256":"6e6c8bdd7893abcf029c45a3a959f17000572506fa713ee056da3a45b372e638"}