{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:CSO363QMMSGATQEAJJSZDO24HY","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":"aae49049c7c67e01b0f1928567be620103be88639f4828642ab86b47cea82d06","cross_cats_sorted":["hep-th","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-10-30T15:13:18Z","title_canon_sha256":"44ae26300d9a9dfad8ee44cedffe96d7b88f90361fae6955dad314c68cc7f41e"},"schema_version":"1.0","source":{"id":"2210.16859","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.16859","created_at":"2026-07-05T05:11:51Z"},{"alias_kind":"arxiv_version","alias_value":"2210.16859v1","created_at":"2026-07-05T05:11:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.16859","created_at":"2026-07-05T05:11:51Z"},{"alias_kind":"pith_short_12","alias_value":"CSO363QMMSGA","created_at":"2026-07-05T05:11:51Z"},{"alias_kind":"pith_short_16","alias_value":"CSO363QMMSGATQEA","created_at":"2026-07-05T05:11:51Z"},{"alias_kind":"pith_short_8","alias_value":"CSO363QM","created_at":"2026-07-05T05:11:51Z"}],"graph_snapshots":[{"event_id":"sha256:6b375c5fd02b0fca23a464e3b2eecd8473d4495df1ec69462044bb8f3d4a17e6","target":"graph","created_at":"2026-07-05T05:11:51Z","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/2210.16859/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Large language models with a huge number of parameters, when trained on near internet-sized number of tokens, have been empirically shown to obey neural scaling laws: specifically, their performance behaves predictably as a power law in either parameters or dataset size until bottlenecked by the other resource. To understand this better, we first identify the necessary properties allowing such scaling laws to arise and then propose a statistical model -- a joint generative data model and random feature model -- that captures this neural scaling phenomenology. By solving this model in the dual ","authors_text":"Alexander Maloney, Daniel A. Roberts, James Sully","cross_cats":["hep-th","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-10-30T15:13:18Z","title":"A Solvable Model of Neural Scaling Laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.16859","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":"sha256:0f20ed033cfe884f11f00720796a6798f937d7708fe3fe23dfc478d137190e09","target":"record","created_at":"2026-07-05T05:11:51Z","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":"aae49049c7c67e01b0f1928567be620103be88639f4828642ab86b47cea82d06","cross_cats_sorted":["hep-th","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-10-30T15:13:18Z","title_canon_sha256":"44ae26300d9a9dfad8ee44cedffe96d7b88f90361fae6955dad314c68cc7f41e"},"schema_version":"1.0","source":{"id":"2210.16859","kind":"arxiv","version":1}},"canonical_sha256":"149dbf6e0c648c09c0804a6591bb5c3e086c114735138e6d090ef5e5998e3b70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"149dbf6e0c648c09c0804a6591bb5c3e086c114735138e6d090ef5e5998e3b70","first_computed_at":"2026-07-05T05:11:51.628236Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:11:51.628236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6BZuoPylM2lnfLeXQzPbhfadczvX1pmu6Y6+gntzVMNgCULrVX3HhQ5a5k9kJJgWhBma7N7QthesiCF1xslbBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:11:51.628662Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.16859","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f20ed033cfe884f11f00720796a6798f937d7708fe3fe23dfc478d137190e09","sha256:6b375c5fd02b0fca23a464e3b2eecd8473d4495df1ec69462044bb8f3d4a17e6"],"state_sha256":"85956e59b2ab637056ac9a098739e067236a27d872160205796eb0487065f048"}