{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:DM4YMEDJZW7MOFEHARFPFKT2GX","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":"d2625a84ddba2af39e37e8f9e76a79fa4cddfb59d2f64bb91dce39b3695cb21d","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-03-10T19:16:53Z","title_canon_sha256":"770353b6f1d8c47d77f4dd917d0d17bf225252194ddfdd7b4e664e4d09f8c7d8"},"schema_version":"1.0","source":{"id":"2303.06173","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.06173","created_at":"2026-07-05T05:50:15Z"},{"alias_kind":"arxiv_version","alias_value":"2303.06173v1","created_at":"2026-07-05T05:50:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.06173","created_at":"2026-07-05T05:50:15Z"},{"alias_kind":"pith_short_12","alias_value":"DM4YMEDJZW7M","created_at":"2026-07-05T05:50:15Z"},{"alias_kind":"pith_short_16","alias_value":"DM4YMEDJZW7MOFEH","created_at":"2026-07-05T05:50:15Z"},{"alias_kind":"pith_short_8","alias_value":"DM4YMEDJ","created_at":"2026-07-05T05:50:15Z"}],"graph_snapshots":[{"event_id":"sha256:00269d7714b233b490c2d733106debbd1791d4b23972c7b78308846ec738856b","target":"graph","created_at":"2026-07-05T05:50:15Z","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/2303.06173/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A principled understanding of generalization in deep learning may require unifying disparate observations under a single conceptual framework. Previous work has studied \\emph{grokking}, a training dynamic in which a sustained period of near-perfect training performance and near-chance test performance is eventually followed by generalization, as well as the superficially similar \\emph{double descent}. These topics have so far been studied in isolation. We hypothesize that grokking and double descent can be understood as instances of the same learning dynamics within a framework of pattern lear","authors_text":"David Krueger, Lauro Langosco, Xander Davies","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-03-10T19:16:53Z","title":"Unifying Grokking and Double Descent"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.06173","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":"sha256:0a08e38c60a37776d5c8a6d7b29e70d95561fe5ff2056fa2f3037057f03630d3","target":"record","created_at":"2026-07-05T05:50:15Z","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":"d2625a84ddba2af39e37e8f9e76a79fa4cddfb59d2f64bb91dce39b3695cb21d","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-03-10T19:16:53Z","title_canon_sha256":"770353b6f1d8c47d77f4dd917d0d17bf225252194ddfdd7b4e664e4d09f8c7d8"},"schema_version":"1.0","source":{"id":"2303.06173","kind":"arxiv","version":1}},"canonical_sha256":"1b39861069cdbec71487044af2aa7a35f19e8b4a65ac422999ddbd92e32d8681","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b39861069cdbec71487044af2aa7a35f19e8b4a65ac422999ddbd92e32d8681","first_computed_at":"2026-07-05T05:50:15.534161Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:50:15.534161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LtkDx/RX7uDpejieDVAB1QAGVoCV1QaAEIH3eRWumwPGpSAB6hFLT3PSdHVAGCryIAchUQxH52u0lTtN6w8QBg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:50:15.534647Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.06173","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a08e38c60a37776d5c8a6d7b29e70d95561fe5ff2056fa2f3037057f03630d3","sha256:00269d7714b233b490c2d733106debbd1791d4b23972c7b78308846ec738856b"],"state_sha256":"f60a6f879ad8087df63641142cc2ac6c9c40ab75c6a770c630a5b17f1bf60bae"}