{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:YPBLM74QKRVVJJSODRANTR5PKH","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":"a1af8b6cb7813841e6a6f65286484aa2efe0f03b5c53508aa952e5eb14c0728e","cross_cats_sorted":["cs.LG","stat.ML","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2025-04-25T01:59:02Z","title_canon_sha256":"d0bb408cd92e12930c8bb86ecf843505b4fe4930bb7882626d322064f83b4c1b"},"schema_version":"1.0","source":{"id":"2504.18017","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.18017","created_at":"2026-07-05T11:10:07Z"},{"alias_kind":"arxiv_version","alias_value":"2504.18017v2","created_at":"2026-07-05T11:10:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.18017","created_at":"2026-07-05T11:10:07Z"},{"alias_kind":"pith_short_12","alias_value":"YPBLM74QKRVV","created_at":"2026-07-05T11:10:07Z"},{"alias_kind":"pith_short_16","alias_value":"YPBLM74QKRVVJJSO","created_at":"2026-07-05T11:10:07Z"},{"alias_kind":"pith_short_8","alias_value":"YPBLM74Q","created_at":"2026-07-05T11:10:07Z"}],"graph_snapshots":[{"event_id":"sha256:8b0e1c1cd9345ee9dfc3440bfb5aed30760f55577efb9423ad053abcd590fdea","target":"graph","created_at":"2026-07-05T11:10:07Z","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/2504.18017/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"One of the enduring problems surrounding neural networks is to identify the factors that differentiate them from traditional statistical models. We prove a pair of results which distinguish feedforward neural networks among parametric models at the population level, for regression tasks. Firstly, we prove that for any pair of random variables $(X,Y)$, neural networks always learn a nontrivial relationship between $X$ and $Y$, if one exists. Secondly, we prove that for reasonable smooth parametric models, under local and global identifiability conditions, there exists a nontrivial $(X,Y)$ pair ","authors_text":"Sourav Chatterjee, Timothy Sudijono","cross_cats":["cs.LG","stat.ML","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2025-04-25T01:59:02Z","title":"Non-identifiability distinguishes Neural Networks among Parametric Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.18017","kind":"arxiv","version":2},"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":"sha256:9bf706fce52ca58f90b7c9bc13d49c98f805d579f86af374191e9fe199c79aab","target":"record","created_at":"2026-07-05T11:10:07Z","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":"a1af8b6cb7813841e6a6f65286484aa2efe0f03b5c53508aa952e5eb14c0728e","cross_cats_sorted":["cs.LG","stat.ML","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2025-04-25T01:59:02Z","title_canon_sha256":"d0bb408cd92e12930c8bb86ecf843505b4fe4930bb7882626d322064f83b4c1b"},"schema_version":"1.0","source":{"id":"2504.18017","kind":"arxiv","version":2}},"canonical_sha256":"c3c2b67f90546b54a64e1c40d9c7af51e45053b388635a3f5f29313163aa0d50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3c2b67f90546b54a64e1c40d9c7af51e45053b388635a3f5f29313163aa0d50","first_computed_at":"2026-07-05T11:10:07.336554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:10:07.336554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wL7lHGLmR/zJ/+Zf6bAVBB1X6fGUWP7kl/tOl1/FKSaUMWGNGLCb5/5rfJaGz3ipl6irEA2DTWVg3FdF/0FnBw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:10:07.337119Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.18017","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bf706fce52ca58f90b7c9bc13d49c98f805d579f86af374191e9fe199c79aab","sha256:8b0e1c1cd9345ee9dfc3440bfb5aed30760f55577efb9423ad053abcd590fdea"],"state_sha256":"f80d3115bba47d3004e37e9b6545914ea0f425eb8ad98162a7b8665a3f7bc4da"}