{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HQJE2HMGP7RXZQZDBZQLXKU3L2","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":"529a820ac4ac00333de56aab3d6db757658693a152535e3bfb54e279176d6a39","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-02-03T19:28:11Z","title_canon_sha256":"da4017afa373115508b04b156bcb0f5319310718f0e7d2cdda81d297ea8e64c5"},"schema_version":"1.0","source":{"id":"2502.01774","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.01774","created_at":"2026-07-05T10:09:18Z"},{"alias_kind":"arxiv_version","alias_value":"2502.01774v1","created_at":"2026-07-05T10:09:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.01774","created_at":"2026-07-05T10:09:18Z"},{"alias_kind":"pith_short_12","alias_value":"HQJE2HMGP7RX","created_at":"2026-07-05T10:09:18Z"},{"alias_kind":"pith_short_16","alias_value":"HQJE2HMGP7RXZQZD","created_at":"2026-07-05T10:09:18Z"},{"alias_kind":"pith_short_8","alias_value":"HQJE2HMG","created_at":"2026-07-05T10:09:18Z"}],"graph_snapshots":[{"event_id":"sha256:dee30ee127f66b1f4a15d418283e0dcf4d15aeb1cee55043405e8902797daa75","target":"graph","created_at":"2026-07-05T10:09:18Z","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/2502.01774/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Grokking, or delayed generalization, is an intriguing learning phenomenon where test set loss decreases sharply only after a model's training set loss has converged. This challenges conventional understanding of the training dynamics in deep learning networks. In this paper, we formalize and investigate grokking, highlighting that a key factor in its emergence is a distribution shift between training and test data. We introduce two synthetic datasets specifically designed to analyze grokking. One dataset examines the impact of limited sampling, and the other investigates transfer learning's ro","authors_text":"Artur S. d'Avila Garcez, Breno W. Carvalho, Em\\'ilio Vital Brazil, Lu\\'is C. Lamb","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-02-03T19:28:11Z","title":"Grokking Explained: A Statistical Phenomenon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.01774","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":"sha256:6c0108fd174e99936fcc8f9f504078e757fd55b97e13582ab2664f0a8bcdf9d9","target":"record","created_at":"2026-07-05T10:09:18Z","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":"529a820ac4ac00333de56aab3d6db757658693a152535e3bfb54e279176d6a39","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-02-03T19:28:11Z","title_canon_sha256":"da4017afa373115508b04b156bcb0f5319310718f0e7d2cdda81d297ea8e64c5"},"schema_version":"1.0","source":{"id":"2502.01774","kind":"arxiv","version":1}},"canonical_sha256":"3c124d1d867fe37cc3230e60bbaa9b5e8b1174394fa375fef6fe8fb63a9dcb4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c124d1d867fe37cc3230e60bbaa9b5e8b1174394fa375fef6fe8fb63a9dcb4e","first_computed_at":"2026-07-05T10:09:18.882883Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:09:18.882883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ixlLyK/OBE8+CoWba2hJ8pGooXKvlH5SB/kd2HZpMl4Ky6XUMffeY9PyAv43k3Gyw+qMPL83/v81ub+Cbkx1Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:09:18.883368Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.01774","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c0108fd174e99936fcc8f9f504078e757fd55b97e13582ab2664f0a8bcdf9d9","sha256:dee30ee127f66b1f4a15d418283e0dcf4d15aeb1cee55043405e8902797daa75"],"state_sha256":"b160a0c51a9755d13b97fae8ab8880864d947ffde8ece5ac8a2abab3b30f0ad1"}