{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:LXATVQZEWJGXTM2IG7D77W5DMI","short_pith_number":"pith:LXATVQZE","canonical_record":{"source":{"id":"1910.08013","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-10-17T16:33:34Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"f42d197ff6d6c49deb719afa6c5c48b053149aa870ed8b3955a1cfd049731c17","abstract_canon_sha256":"653e0fd78a5193cfb4db612a43e8d140930a18f269ac06af685bdcb0e0dca394"},"schema_version":"1.0"},"canonical_sha256":"5dc13ac324b24d79b34837c7ffdba3621a61868f15bfd8525f36539f62ceb290","source":{"kind":"arxiv","id":"1910.08013","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.08013","created_at":"2026-07-05T01:13:06Z"},{"alias_kind":"arxiv_version","alias_value":"1910.08013v3","created_at":"2026-07-05T01:13:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.08013","created_at":"2026-07-05T01:13:06Z"},{"alias_kind":"pith_short_12","alias_value":"LXATVQZEWJGX","created_at":"2026-07-05T01:13:06Z"},{"alias_kind":"pith_short_16","alias_value":"LXATVQZEWJGXTM2I","created_at":"2026-07-05T01:13:06Z"},{"alias_kind":"pith_short_8","alias_value":"LXATVQZE","created_at":"2026-07-05T01:13:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:LXATVQZEWJGXTM2IG7D77W5DMI","target":"record","payload":{"canonical_record":{"source":{"id":"1910.08013","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-10-17T16:33:34Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"f42d197ff6d6c49deb719afa6c5c48b053149aa870ed8b3955a1cfd049731c17","abstract_canon_sha256":"653e0fd78a5193cfb4db612a43e8d140930a18f269ac06af685bdcb0e0dca394"},"schema_version":"1.0"},"canonical_sha256":"5dc13ac324b24d79b34837c7ffdba3621a61868f15bfd8525f36539f62ceb290","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:13:06.967419Z","signature_b64":"NQ3OIyOdjMYRN2uLdfWF6kmmHy6jfvIHUfvEZZb3AMplBGGa+TbxTZ+BYJ/UazApsey6FVssfwu6jkQ86qAxDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5dc13ac324b24d79b34837c7ffdba3621a61868f15bfd8525f36539f62ceb290","last_reissued_at":"2026-07-05T01:13:06.967010Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:13:06.967010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1910.08013","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:13:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LEdX+YEYGOtB617twdUDN/HVMQ/jRYvidgIshPUNM8J1INtz6ulml8nndlSwdZmQ0OMCFBIXXuPUgtQEEQOzCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:51:06.854803Z"},"content_sha256":"67226cfa22db1488a9499afe5abf0385f0ca044680f4ec751c71755961f4d461","schema_version":"1.0","event_id":"sha256:67226cfa22db1488a9499afe5abf0385f0ca044680f4ec751c71755961f4d461"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:LXATVQZEWJGXTM2IG7D77W5DMI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Why bigger is not always better: on finite and infinite neural networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Laurence Aitchison","submitted_at":"2019-10-17T16:33:34Z","abstract_excerpt":"Recent work has argued that neural networks can be understood theoretically by taking the number of channels to infinity, at which point the outputs become Gaussian process (GP) distributed. However, we note that infinite Bayesian neural networks lack a key facet of the behaviour of real neural networks: the fixed kernel, determined only by network hyperparameters, implies that they cannot do any form of representation learning. The lack of representation or equivalently kernel learning leads to less flexibility and hence worse performance, giving a potential explanation for the inferior perfo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.08013","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1910.08013/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:13:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pf26Xo1M1hrTWzZaMNoK6yR+ng4vqlTXR+32Y41J18y70kLuVDOMATcqcNZ3piVp+Sh9+V9B4u1tY5MXD0c6AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:51:06.855307Z"},"content_sha256":"dec8465169d35ee9be8caac4ea0f61cd3993e07f8d9085b20aafd4b808771746","schema_version":"1.0","event_id":"sha256:dec8465169d35ee9be8caac4ea0f61cd3993e07f8d9085b20aafd4b808771746"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LXATVQZEWJGXTM2IG7D77W5DMI/bundle.json","state_url":"https://pith.science/pith/LXATVQZEWJGXTM2IG7D77W5DMI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LXATVQZEWJGXTM2IG7D77W5DMI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-05T19:51:06Z","links":{"resolver":"https://pith.science/pith/LXATVQZEWJGXTM2IG7D77W5DMI","bundle":"https://pith.science/pith/LXATVQZEWJGXTM2IG7D77W5DMI/bundle.json","state":"https://pith.science/pith/LXATVQZEWJGXTM2IG7D77W5DMI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LXATVQZEWJGXTM2IG7D77W5DMI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LXATVQZEWJGXTM2IG7D77W5DMI","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":"653e0fd78a5193cfb4db612a43e8d140930a18f269ac06af685bdcb0e0dca394","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-10-17T16:33:34Z","title_canon_sha256":"f42d197ff6d6c49deb719afa6c5c48b053149aa870ed8b3955a1cfd049731c17"},"schema_version":"1.0","source":{"id":"1910.08013","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.08013","created_at":"2026-07-05T01:13:06Z"},{"alias_kind":"arxiv_version","alias_value":"1910.08013v3","created_at":"2026-07-05T01:13:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.08013","created_at":"2026-07-05T01:13:06Z"},{"alias_kind":"pith_short_12","alias_value":"LXATVQZEWJGX","created_at":"2026-07-05T01:13:06Z"},{"alias_kind":"pith_short_16","alias_value":"LXATVQZEWJGXTM2I","created_at":"2026-07-05T01:13:06Z"},{"alias_kind":"pith_short_8","alias_value":"LXATVQZE","created_at":"2026-07-05T01:13:06Z"}],"graph_snapshots":[{"event_id":"sha256:dec8465169d35ee9be8caac4ea0f61cd3993e07f8d9085b20aafd4b808771746","target":"graph","created_at":"2026-07-05T01:13:06Z","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/1910.08013/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent work has argued that neural networks can be understood theoretically by taking the number of channels to infinity, at which point the outputs become Gaussian process (GP) distributed. However, we note that infinite Bayesian neural networks lack a key facet of the behaviour of real neural networks: the fixed kernel, determined only by network hyperparameters, implies that they cannot do any form of representation learning. The lack of representation or equivalently kernel learning leads to less flexibility and hence worse performance, giving a potential explanation for the inferior perfo","authors_text":"Laurence Aitchison","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-10-17T16:33:34Z","title":"Why bigger is not always better: on finite and infinite neural networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.08013","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":"sha256:67226cfa22db1488a9499afe5abf0385f0ca044680f4ec751c71755961f4d461","target":"record","created_at":"2026-07-05T01:13:06Z","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":"653e0fd78a5193cfb4db612a43e8d140930a18f269ac06af685bdcb0e0dca394","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-10-17T16:33:34Z","title_canon_sha256":"f42d197ff6d6c49deb719afa6c5c48b053149aa870ed8b3955a1cfd049731c17"},"schema_version":"1.0","source":{"id":"1910.08013","kind":"arxiv","version":3}},"canonical_sha256":"5dc13ac324b24d79b34837c7ffdba3621a61868f15bfd8525f36539f62ceb290","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dc13ac324b24d79b34837c7ffdba3621a61868f15bfd8525f36539f62ceb290","first_computed_at":"2026-07-05T01:13:06.967010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:13:06.967010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NQ3OIyOdjMYRN2uLdfWF6kmmHy6jfvIHUfvEZZb3AMplBGGa+TbxTZ+BYJ/UazApsey6FVssfwu6jkQ86qAxDw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:13:06.967419Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.08013","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67226cfa22db1488a9499afe5abf0385f0ca044680f4ec751c71755961f4d461","sha256:dec8465169d35ee9be8caac4ea0f61cd3993e07f8d9085b20aafd4b808771746"],"state_sha256":"2719abeffeb3edd36aa6c0592584c00a0eb7fb786ba8f4811409294fd231abcf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a82PAiwjuyuWVe6o+To+sLhYb4vRAqG6gqnzWshWFIh7RX5QfwvGWiSn8F3gHXjDSFDLnumhDqzznmBy3iNqBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T19:51:06.860112Z","bundle_sha256":"1ab9c88a9de76d6213810c7c368d0b316d968712122b970b46bf0a04e424dc1e"}}