{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:YD5WE2EWZAO2XYLIBIPPHG4VLE","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":"d8faaa11c2cd7bd3f57860afbf919137505e9e02c659b2529189ed554915e367","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-05-03T09:41:39Z","title_canon_sha256":"131a333b7acc60c52bb0083949cd1d6466d651315ae41e2a2a89c0e08001f23a"},"schema_version":"1.0","source":{"id":"2405.01964","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.01964","created_at":"2026-07-05T08:32:40Z"},{"alias_kind":"arxiv_version","alias_value":"2405.01964v3","created_at":"2026-07-05T08:32:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.01964","created_at":"2026-07-05T08:32:40Z"},{"alias_kind":"pith_short_12","alias_value":"YD5WE2EWZAO2","created_at":"2026-07-05T08:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"YD5WE2EWZAO2XYLI","created_at":"2026-07-05T08:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"YD5WE2EW","created_at":"2026-07-05T08:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:ecce108cca70cb10cdf2ab047ca9cc2e61b23d4d7ae07f82d45888cf3d351922","target":"graph","created_at":"2026-07-05T08:32:40Z","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/2405.01964/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The last decade has seen blossoming research in deep learning theory attempting to answer, \"Why does deep learning generalize?\" A powerful shift in perspective precipitated this progress: the study of overparametrized models in the interpolation regime. In this paper, we argue that another perspective shift is due, since some of the desirable qualities of LLMs are not a consequence of good statistical generalization and require a separate theoretical explanation. Our core argument relies on the observation that AR probabilistic models are inherently non-identifiable: models zero or near-zero K","authors_text":"Anna Kerekes, Anna M\\'esz\\'aros, Ferenc Husz\\'ar, Patrik Reizinger, Szilvia Ujv\\'ary, Wieland Brendel","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-05-03T09:41:39Z","title":"Position: Understanding LLMs Requires More Than Statistical Generalization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.01964","kind":"arxiv","version":3},"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:f32086822e76f31085548dbd250a11fbf6c76e83c76b8cd87d27a8819ef5ef59","target":"record","created_at":"2026-07-05T08:32:40Z","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":"d8faaa11c2cd7bd3f57860afbf919137505e9e02c659b2529189ed554915e367","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-05-03T09:41:39Z","title_canon_sha256":"131a333b7acc60c52bb0083949cd1d6466d651315ae41e2a2a89c0e08001f23a"},"schema_version":"1.0","source":{"id":"2405.01964","kind":"arxiv","version":3}},"canonical_sha256":"c0fb626896c81dabe1680a1ef39b955905db9c2a757c8a9a2e2da52f464c2d7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0fb626896c81dabe1680a1ef39b955905db9c2a757c8a9a2e2da52f464c2d7a","first_computed_at":"2026-07-05T08:32:40.319138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:32:40.319138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dW30EVH1MJpyt+tXJDG3LINhAeMtrzP6XFvRoftJsrRi+rL0Qp7Nd7F5P3o07UGtFHUDf/Dv0c0lYErCQE4YCg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:32:40.319644Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.01964","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f32086822e76f31085548dbd250a11fbf6c76e83c76b8cd87d27a8819ef5ef59","sha256:ecce108cca70cb10cdf2ab047ca9cc2e61b23d4d7ae07f82d45888cf3d351922"],"state_sha256":"1fd8b0d4b2013719f663c03b37e6a0467e8bad4ca52febe3c98f5dac2cc10ce8"}