{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HUJHHNIIQKJOS2LNRQIG7M344S","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":"bedb20617668bc4f2380469e44f5d899adaf9abe02bbf39350c7438defbdf587","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-27T05:23:45Z","title_canon_sha256":"6df92392fdf43c6f77c2ff900aa2eea71369c1f5bc774a36cc42483da9be736e"},"schema_version":"1.0","source":{"id":"2605.27989","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.27989","created_at":"2026-05-28T01:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"2605.27989v1","created_at":"2026-05-28T01:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.27989","created_at":"2026-05-28T01:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"HUJHHNIIQKJO","created_at":"2026-05-28T01:04:55Z"},{"alias_kind":"pith_short_16","alias_value":"HUJHHNIIQKJOS2LN","created_at":"2026-05-28T01:04:55Z"},{"alias_kind":"pith_short_8","alias_value":"HUJHHNII","created_at":"2026-05-28T01:04:55Z"}],"graph_snapshots":[{"event_id":"sha256:44f468ebbb6278c9e5bf76d544fcba81033137bdede807ea9b38c4f0a15a5c6c","target":"graph","created_at":"2026-05-28T01:04:55Z","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/2605.27989/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The guidance of scaling laws has increased the resource demands of modern large language models (LLMs), yet it remains questionable whether these models utilize resources effectively under a fixed budget. Previous research has proved superposition as a key contributor to loss. By leveraging the Neural Feature Ansatz, we extend superposition from parameter space to gradient space and define it as neural interaction. We find that under a fixed budget, good generalization is usually accompanied by efficient neural interactions, and the model can be placed in an efficient interaction interval by a","authors_text":"Jinning Yang, Mengnan Du, Shuai Zhang, Wenjie Sun","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-27T05:23:45Z","title":"Law of Neural Interaction: Depth-Width Shape, Interaction Efficiency, and Generalization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.27989","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:a75f7c21b917c88f37d08aef793f0f913b66c3e64eacd2bde8a494735cddf60e","target":"record","created_at":"2026-05-28T01:04:55Z","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":"bedb20617668bc4f2380469e44f5d899adaf9abe02bbf39350c7438defbdf587","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-27T05:23:45Z","title_canon_sha256":"6df92392fdf43c6f77c2ff900aa2eea71369c1f5bc774a36cc42483da9be736e"},"schema_version":"1.0","source":{"id":"2605.27989","kind":"arxiv","version":1}},"canonical_sha256":"3d1273b5088292e9696d8c106fb37ce4b12bb78b6b1254aea0287d624bca007d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d1273b5088292e9696d8c106fb37ce4b12bb78b6b1254aea0287d624bca007d","first_computed_at":"2026-05-28T01:04:55.345036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-28T01:04:55.345036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EM3ofdKfPpMgiZft/wdPgwGusGAL21vR4rWPEPhaXssM+psIDQuHuzu2sw5/kwq3TmWj8nZKKzcU2Tg7ii81AA==","signature_status":"signed_v1","signed_at":"2026-05-28T01:04:55.345450Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.27989","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a75f7c21b917c88f37d08aef793f0f913b66c3e64eacd2bde8a494735cddf60e","sha256:44f468ebbb6278c9e5bf76d544fcba81033137bdede807ea9b38c4f0a15a5c6c"],"state_sha256":"4b2d8cacd3d180954959c803de1d51c54ec224b2bdcdbfe6151e1b36ace67e04"}