{"as_of":"2026-08-09T03:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e8c95774bd178e688e377c39a3eeadcc3db315e76eeca9b86c6d7d7d0cabcb79","coverage":[{"denominator":47,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":47,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:40:36.599205Z","state":"measured"},{"denominator":47,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":47,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2507.05035/citation-record","integrity":"/paper/2507.05035/integrity","json":"/paper/2507.05035/citation-record.json","paper":"/paper/2507.05035"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2111.00034","last_updated":"2021-12-02T21:06:20Z","snapshot_observed_at":"2026-08-02T07:28:20.038757Z","submitted_at":"2021-10-29T18:22:46Z","title":"Neural Networks as Kernel Learners: The Silent Alignment Effect","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.00034","snapshot_observed_at":"2026-08-06T19:40:35.800038Z","title":"Neural Networks as Kernel Learners : The Silent Alignment Effect , December 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:35.800038Z"},"links":{"cited_paper":"/paper/2111.00034","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:a49536f46d1881d9ed04077c79d0c43f3c8d0fc75daea9dd64047f53843da456","observation_id":"34199f6a-2837-48d0-ba7c-cadc315131cf","resolution":{"observed_at":"2026-08-06T19:40:35.800038Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.153495Z","title":"The DeepMind JAX Ecosystem , 2020","venue":null,"work_id":"57316638-956a-4302-8959-6327f93a08a9","year":2020},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:35.850397Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:bc63d7f07532e65ada9a8f2b2e01f8b914d27f93579f998cd3e9abac749b899b","observation_id":"646843c2-68fa-42c2-a5d0-990577bb2ce6","resolution":{"observed_at":"2026-08-06T19:40:37.156326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:35.918350Z","title":"Explaining neural scaling laws","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:35.918350Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:e2e1494c42402e950dfa1dc34852750adfefd41166723301dfcfe4c58ed994a5","observation_id":"bf443ac2-0e4f-4102-989f-20dbea4666a8","resolution":{"observed_at":"2026-08-06T19:40:35.918350Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.145032Z","title":"D., Lajoie, G., Vincent, P., and Lacoste-Julien, S","venue":null,"work_id":"638dd9c8-9038-4e75-9f03-9d883da082f7","year":2021},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:35.973210Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:5277612a2bfbaa7c59cafab9f3aaddb02c44f3460efa6d91b6ad867a185a7d6f","observation_id":"77cf1058-f9cd-496f-ae54-2e1fd5db6659","resolution":{"observed_at":"2026-08-06T19:40:37.148204Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.00096","last_updated":"2025-09-04T13:50:21Z","snapshot_observed_at":"2026-08-04T22:35:15.439821Z","submitted_at":"2023-12-29T23:08:59Z","title":"A foundation model for atomistic materials chemistry","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.00096","snapshot_observed_at":"2026-08-06T19:40:35.977688Z","title":"M., Kovács, D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:35.977688Z"},"links":{"cited_paper":"/paper/2401.00096","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:55b5a4bad6b8121a5c23335512562ce7c716b84ae05abb977a2bafbca45f9836","observation_id":"2eae836c-176a-4b70-a555-12629d524470","resolution":{"observed_at":"2026-08-06T19:40:35.977688Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.135964Z","title":"and Pehlevan, C","venue":null,"work_id":"d7f08bc7-bc8b-4b55-b1e8-975ac148deed","year":2022},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:35.981072Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:b534160b3a7a052c3fbcda0a0a39b231ac3c83a8ceb6c93024a3682b72ba3735","observation_id":"deca386e-6d69-4e47-affe-9ba79abab059","resolution":{"observed_at":"2026-08-06T19:40:37.139510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.126615Z","title":"On Lazy Training in Differentiable Programming","venue":null,"work_id":"1931322b-f179-4fb6-a723-cbf26c13642f","year":2019},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.024066Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:e0203181cd510c197a03b0e05b994c17387b46accdf83e583cb2fde2e4e7bff9","observation_id":"c546105f-c9e8-455f-b6fb-c6e109e0a37a","resolution":{"observed_at":"2026-08-06T19:40:37.129848Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.117464Z","title":"and Wang, Z","venue":null,"work_id":"9acfd41d-95cc-42b9-83a7-50af170d9bd3","year":2020},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.088637Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:b758be9dd54cd864057a3956c6501138fb5d5645d7d17cc9dd4f725e3ec46b20","observation_id":"68d62b5e-98c5-44a7-a976-6a6058355613","resolution":{"observed_at":"2026-08-06T19:40:37.121223Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"hash/4050756","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:36.963067Z","title":"K., Paul, M., Kharaghani, S., Roy, D","venue":null,"work_id":"8ea47692-39de-47c4-95d6-122aea0a5d7d","year":2020},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.124372Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:f079b78644ba374305ba490a797c03466443aab59de043638a64a866d994db99","observation_id":"0bff6db7-bef3-4023-bebb-d40f307f348d","resolution":{"observed_at":"2026-08-06T19:40:36.968489Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/1742-5468/abc4de","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:36.685521Z","title":"Disentangling feature and lazy training in deep neural networks","venue":null,"work_id":"d3851df8-7d82-437a-b724-9a62a8e856f1","year":2020},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.170368Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:2a6d89e8717ec3741f059bab49ffb69741e11fc06996eb41fabf0bd7eec2c424","observation_id":"c8f6de3c-d671-497a-8ba0-10f51c189c09","resolution":{"observed_at":"2026-08-06T19:40:36.688779Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.109069Z","title":"and Bengio, Y","venue":null,"work_id":"d8f179b1-f588-4919-8bb4-57eb8efe7371","year":2010},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.248350Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:f95ca1a532373924435b6a08a25aa8b5bb02c0c266e6473cc8ecacd8bdeaa1c7","observation_id":"c8ced368-6885-4e6d-9a05-2bae19426fa0","resolution":{"observed_at":"2026-08-06T19:40:37.112067Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.04722","last_updated":"2025-06-29T07:01:43Z","snapshot_observed_at":"2026-08-07T17:23:47.233541Z","submitted_at":"2025-03-06T18:59:23Z","title":"Enough Coin Flips Can Make LLMs Act Bayesian","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.04722","snapshot_observed_at":"2026-08-06T19:40:36.299821Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.299821Z"},"links":{"cited_paper":"/paper/2503.04722","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:cda44a787d94ffe672d158258b96037d8bf8abe37693bf9bdb5e19608574f8a1","observation_id":"ba4ae497-719f-486f-bd5f-23228f5d19c2","resolution":{"observed_at":"2026-08-06T19:40:36.299821Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.100053Z","title":"Delving Deep into Rectifiers : Surpassing Human - Level Performance on ImageNet Classification","venue":null,"work_id":"15de33da-56a4-4f61-9c99-b674eabe66cc","year":2015},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.383589Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:8d086a6b37cb47a576ed92e80541294add794b20a9696688b4bdde0bf5f69577","observation_id":"a2b25985-e7c3-40ec-91fa-354604ed3620","resolution":{"observed_at":"2026-08-06T19:40:37.103181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.090480Z","title":null,"venue":null,"work_id":"2202004d-de40-4c99-a116-d09a03f1f2f4","year":2024},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.437509Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:7c7989dba0283a8a3785d7dd3d8cbc470631ec6df3263626df560fc8da180447","observation_id":"e85869bf-bdf1-4a3e-aa83-a5d047940675","resolution":{"observed_at":"2026-08-06T19:40:37.094280Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.14701","last_updated":"2020-11-06T04:16:36Z","snapshot_observed_at":"2026-07-06T10:09:17.078776Z","submitted_at":"2020-10-28T02:17:24Z","title":"Scaling Laws for Autoregressive Generative Modeling","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.14701","snapshot_observed_at":"2026-08-06T19:40:36.485002Z","title":"B., Dhariwal, P., Gray, S., Hallacy, C., Mann, B., Radford, A., Ramesh, A., Ryder, N., Ziegler, D","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.485002Z"},"links":{"cited_paper":"/paper/2010.14701","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:f00d2e9878b3d98352502cd6559a1db8306e4142f7900cb2d32d3a2e2b705332","observation_id":"7a9b5da0-8ad1-4f4f-a3ce-6b82562444c1","resolution":{"observed_at":"2026-08-06T19:40:36.485002Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.081412Z","title":null,"venue":null,"work_id":"8dbc848c-ae57-4d72-ada8-d84536849dec","year":2022},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.489040Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:cccb94652b66591ce975a55f5fe1d406eccb259ac5857ba3dde5a5f2ae7a43f6","observation_id":"dab03078-7a51-4b91-8ae6-97d93b63005e","resolution":{"observed_at":"2026-08-06T19:40:37.084487Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.071940Z","title":"and Yau, H.-T","venue":null,"work_id":"02bd389f-c965-4490-8c07-0c31493081dc","year":2020},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.492074Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:64c2c47e524214c14b4d39a830291b63ad9cb832aaff6128b6a7c3efa4c5116e","observation_id":"5023d5a4-ef07-4a1b-89c1-c7bdcf53f5d7","resolution":{"observed_at":"2026-08-06T19:40:37.075793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.04074","last_updated":"2021-02-08T09:25:31Z","snapshot_observed_at":"2026-07-06T10:39:22.798581Z","submitted_at":"2021-02-08T09:25:31Z","title":"Learning Curve Theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.04074","snapshot_observed_at":"2026-08-06T19:40:36.494987Z","title":"Learning Curve Theory , February 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.494987Z"},"links":{"cited_paper":"/paper/2102.04074","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:8ffd3c0673ddbd6464b8fa0759a2d7cd946a82039f9fe166d2e4c923263f678c","observation_id":"cac885d1-a04b-405d-ae7c-90021ba568a7","resolution":{"observed_at":"2026-08-06T19:40:36.494987Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.063248Z","title":"Neural Tangent Kernel : Convergence and Generalization in Neural Networks","venue":null,"work_id":"b904953e-42bc-41a1-aaae-d910d3306027","year":2018},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.498719Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:d7bfc9838d3b072cb9baeb8482a6aa7baabd16b1ad47a38746a9a77c38bf63f1","observation_id":"94065d16-4117-485b-873a-7185df497816","resolution":{"observed_at":"2026-08-06T19:40:37.066503Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2001.08361","last_updated":"2020-01-23T03:59:20Z","snapshot_observed_at":"2026-07-06T08:52:12.656082Z","submitted_at":"2020-01-23T03:59:20Z","title":"Scaling Laws for Neural Language Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.08361","snapshot_observed_at":"2026-08-06T19:40:36.502373Z","title":"B., Chess, B., Child, R., Gray, S., Radford, A., Wu, J., and Amodei, D","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.502373Z"},"links":{"cited_paper":"/paper/2001.08361","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:8e246a2cd628e2f37cb16a2576970777dc9e25585ecf37190206bcc82d0aba76","observation_id":"d5b6bb4b-6d5d-4557-a28d-583a04f62d87","resolution":{"observed_at":"2026-08-06T19:40:36.502373Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1412.6980","last_updated":"2017-01-30T01:27:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2014-12-22T13:54:29Z","title":"Adam: A Method for Stochastic Optimization","version":9},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.6980","snapshot_observed_at":"2026-08-06T19:40:36.505848Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.505848Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:125fe12165e99a92d7db4aaa4747332d03ea0bed98983d84ed524f1bdcf416bd","observation_id":"9b751f42-8eb9-4f21-8a74-e4f19f42dd82","resolution":{"observed_at":"2026-08-06T19:40:36.505848Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-030-61616-8_14","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T00:03:56.115653Z","title":"and Indelman, V","venue":"Lecture notes in computer science","work_id":"43566a47-e0dd-4d03-ab7c-6f6055767e5f","year":2020},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.509418Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:60f4d1e2f185876fda109de0852344d058b5a5647e9210304a659898268d0c23","observation_id":"28b6bebf-96a4-4ac2-b46c-8ea230fd8b30","resolution":{"observed_at":"2026-08-06T19:40:36.678910Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:36.512662Z","title":"and Spannowsky, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.512662Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:7e26962a5db75772cf38e84912e521fe1010d44426da90015ef8167b285d3da3","observation_id":"e211b2c5-13d4-4435-b704-1de780c4c7f5","resolution":{"observed_at":"2026-08-06T19:40:36.512662Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:36.516851Z","title":"B., and Müller, K","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.516851Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:c1ecb30400529276e35453c3fa577c595ec21b840eddbb102dbe220e74ab2519","observation_id":"72aa44e8-ce96-4b5e-b089-23026aa29a4f","resolution":{"observed_at":"2026-08-06T19:40:36.516851Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:36.521057Z","title":"Deep learning","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.521057Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:673b9b886c0afdb4616623fd32c2a50c1318ec209f5f10838dd23f018c30575d","observation_id":"535423fb-d53c-472e-b3a1-405b28962621","resolution":{"observed_at":"2026-08-06T19:40:36.521057Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.054380Z","title":"Finite Versus Infinite Neural Networks : an Empirical Study","venue":null,"work_id":"1cb8e477-b4f0-4f2d-a13e-eec37552803d","year":2020},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.524257Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:1661d7ab3f3a8b46723ea1e936271d1bcd44781240b6338e9b00f392060289bc","observation_id":"f4faae70-21ae-4baa-8c60-efaf420e9cae","resolution":{"observed_at":"2026-08-06T19:40:37.057867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.044149Z","title":"On the linearity of large non-linear models: when and why the tangent kernel is constant","venue":null,"work_id":"325c641d-5bca-42b7-9812-52b5d619fa31","year":2020},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.527902Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:b691599c344d3450d09d5d62818e97170ef9b39e87fbb190f2eceb71176523fa","observation_id":"18c3572f-3b3e-4cda-842c-e92f9177cab6","resolution":{"observed_at":"2026-08-06T19:40:37.048607Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.033922Z","title":"Mean-field theory of two-layers neural networks: dimension-free bounds and kernel limit","venue":null,"work_id":"70780cb2-16f5-464d-ae48-8580b15d7b9e","year":2019},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.531034Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:14ff11ed0822448206a3af49cf14a073f52381370d9d7dc2ea96acdd39fb3ec4","observation_id":"2b4e8c52-293d-4a6b-9de7-af1a14ae192f","resolution":{"observed_at":"2026-08-06T19:40:37.037233Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1912.02803","last_updated":"2019-12-05T18:51:57Z","snapshot_observed_at":"2026-08-08T12:08:12.089821Z","submitted_at":"2019-12-05T18:51:57Z","title":"Neural Tangents: Fast and Easy Infinite Neural Networks in Python","version":1},"cited_work":{"arxiv_id":"1912.02803","doi":null,"metadata_source":"pith","pith_arxiv_id":"1912.02803","snapshot_observed_at":"2026-08-06T19:40:36.846898Z","title":"Neural Tangents: Fast and Easy Infinite Neural Networks in Python","venue":"stat.ML","work_id":"f86e7659-7e9a-4af7-8cf2-66761a6e68cd","year":2019},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.534512Z"},"links":{"cited_paper":"/paper/1912.02803","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:01093d466487fe109a679c1d630d1413148f99a5808106f48dfc1e0ff0ebb623","observation_id":"497bb98b-4b07-4f82-b7d6-9e26e88dc99e","resolution":{"observed_at":"2026-08-06T19:40:36.850848Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.024737Z","title":"What can linearized neural networks actually say about generalization? In Advances in Neural Information Processing Systems , volume 34, pp.\\ 8998--9010","venue":null,"work_id":"f307474d-2a73-47d9-a859-55fd2d3c8e8a","year":null},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.538249Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:669c0208a85201f831f15b7480332c7d876df7af26e11d0622419e529f1d7ad7","observation_id":"6c34af44-856f-4f99-9310-443490fcc384","resolution":{"observed_at":"2026-08-06T19:40:37.028202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.03024","last_updated":"2024-06-14T17:19:58Z","snapshot_observed_at":"2026-07-06T16:27:51.438846Z","submitted_at":"2023-10-04T17:59:38Z","title":"AstroCLIP: A Cross-Modal Foundation Model for Galaxies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.03024","snapshot_observed_at":"2026-08-06T19:40:36.541815Z","title":"R.-S., Tesileanu, T., Cho, K., and Ho, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.541815Z"},"links":{"cited_paper":"/paper/2310.03024","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:cab3f21869b465680a0d4f0c6afb24ff7d82062d99f68f4e3594120354d8d44f","observation_id":"fb94c23d-9262-4403-a2ce-37749aa106fb","resolution":{"observed_at":"2026-08-06T19:40:36.541815Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.015307Z","title":"Neural networks trained with SGD learn distributions of increasing complexity","venue":null,"work_id":"a5a62e50-ca31-4c6a-9688-b43a5451634c","year":2023},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.545356Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:a2d67c25a5da15589d62c2518f5452262ec735ffa743fd15b8d0072dd7972275","observation_id":"68d87d8f-8a25-4db1-a178-fde67bbf5220","resolution":{"observed_at":"2026-08-06T19:40:37.018873Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.12673","last_updated":"2019-12-20T18:20:34Z","snapshot_observed_at":"2026-08-05T03:04:56.613105Z","submitted_at":"2019-09-27T13:27:53Z","title":"A Constructive Prediction of the Generalization Error Across Scales","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.12673","snapshot_observed_at":"2026-08-06T19:40:36.549240Z","title":"S., Rosenfeld, A., Belinkov, Y., and Shavit, N","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.549240Z"},"links":{"cited_paper":"/paper/1909.12673","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:516b8a4a0a205bd77afb7c7e02abd5b1020127b028a92e402977928a42b78ef2","observation_id":"2e4e98f3-5499-406b-8abc-ac56726be7af","resolution":{"observed_at":"2026-08-06T19:40:36.549240Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:36.553101Z","title":"and Vetterli, M","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.553101Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:2836de6ba0ff7c1867becb5b9a785905ba1c156a327204e1fb893c3555a9605c","observation_id":"961af3d8-e897-413a-a8b1-2b0a12aa5d04","resolution":{"observed_at":"2026-08-06T19:40:36.553101Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:37.006381Z","title":"and Kutyniok, G","venue":null,"work_id":"7e36de97-9c51-4a19-bf3c-13e4f58fcfe2","year":2022},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.556965Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:80b9b824a510aa30562b1cf102074c3467009c7c4e3b59411108825e537d36c6","observation_id":"754770b8-c4ff-4417-9886-ce0bbae253f4","resolution":{"observed_at":"2026-08-06T19:40:37.009464Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.14301","last_updated":"2022-02-10T01:39:58Z","snapshot_observed_at":"2026-08-03T12:01:24.982456Z","submitted_at":"2021-05-29T13:50:03Z","title":"A Theory of Neural Tangent Kernel Alignment and Its Influence on Training","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.14301","snapshot_observed_at":"2026-08-06T19:40:36.559815Z","title":"and Bordelon, B","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.559815Z"},"links":{"cited_paper":"/paper/2105.14301","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:15c8e34826bb66c793b3321935e0dd66074c98bb8b0e2d3979cb3feebef27732","observation_id":"51325a34-0d4a-4414-a91c-74bbdfb192d8","resolution":{"observed_at":"2026-08-06T19:40:36.559815Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:36.996245Z","title":"and Kaplan, J","venue":null,"work_id":"e9bcfc49-ea9f-4b7d-9e00-4e520a35ef60","year":2022},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.562918Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:00c04b45637d099b8e48c008e25eaa9058fa188ff20e545ccc878668ab5d286b","observation_id":"9bb3ca60-9a91-4e84-9e1a-cce58cd19ba4","resolution":{"observed_at":"2026-08-06T19:40:37.000210Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:36.566054Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.566054Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:9459a8611429651ce452ec4aad8dccadecd60ab4c5f882f86f025e079cf8c685","observation_id":"3fbcfa4c-5668-4f2d-b98c-36585bbfd2ff","resolution":{"observed_at":"2026-08-06T19:40:36.566054Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10994-013-5422-z","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:36.644006Z","title":"R., Martinez, T., and Giraud-Carrier, C","venue":null,"work_id":"638b10ff-1240-41e5-a2cf-46d4427b8659","year":2014},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.569783Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:872a52e3fdc5aab698c3fc2821ee12e1f2eaafc79e1a1a1d15ae02f6736c8e7a","observation_id":"3a43b246-860b-4a79-b0ac-80e89b7e9f80","resolution":{"observed_at":"2026-08-06T19:40:36.648128Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.00118","last_updated":"2024-10-02T15:22:49Z","snapshot_observed_at":"2026-08-02T16:20:09.773989Z","submitted_at":"2024-07-31T19:13:07Z","title":"Gemma 2: Improving Open Language Models at a Practical Size","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.00118","snapshot_observed_at":"2026-08-06T19:40:36.573381Z","title":"G., Hardin, C., Bhupatiraju, S., Hussenot, L., Mesnard, T., Shahriari, B., Ramé, A., Ferret, J., Liu, P., Tafti, P., Friesen, A., Casbon, M., Ramos, S., Kumar, R., Lan, C","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.573381Z"},"links":{"cited_paper":"/paper/2408.00118","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:17979a30a075d665539b460098738c2de2d45bedeff750ddeb0e932df0fb09d3","observation_id":"fa304362-c313-4c85-a6e9-44d3381f54f7","resolution":{"observed_at":"2026-08-06T19:40:36.573381Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/2632-2153/acf099","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:36.635102Z","title":"Towards a phenomenological understanding of neural networks: data","venue":null,"work_id":"3bc33087-8601-41a5-ab85-5138c48f4286","year":2023},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.577868Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:3743c3eb0e87f501fa622ed3ebadd2f537a459a405f225a52b104197bb997e8a","observation_id":"74fd108b-c8ef-4698-9f42-5009c2d03383","resolution":{"observed_at":"2026-08-06T19:40:36.638223Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.07451","last_updated":"2024-10-09T21:37:14Z","snapshot_observed_at":"2026-07-06T19:30:47.908282Z","submitted_at":"2024-10-09T21:37:14Z","title":"Collective variables of neural networks: empirical time evolution and scaling laws","version":1},"cited_work":{"arxiv_id":"2410.07451","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.07451","snapshot_observed_at":"2026-08-06T19:40:36.727295Z","title":"Collective variables of neural networks: empirical time evolution and scaling laws","venue":"cs.LG","work_id":"da0a7865-592a-4075-8453-d1abd5682fe4","year":2024},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.581698Z"},"links":{"cited_paper":"/paper/2410.07451","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:713e2d8927543ac79ffae01c88539f342dbbe5a25eddd10f0d19c67d95c0f8b1","observation_id":"6bb916a7-482b-4ae3-8f72-45e019a8903e","resolution":{"observed_at":"2026-08-06T19:40:36.730881Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.14548","last_updated":"2020-11-30T03:30:09Z","snapshot_observed_at":"2026-08-04T17:52:50.218278Z","submitted_at":"2020-06-25T16:45:23Z","title":"Tensor Programs II: Neural Tangent Kernel for Any Architecture","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.14548","snapshot_observed_at":"2026-08-06T19:40:36.585654Z","title":"Tensor Programs II : Neural Tangent Kernel for Any Architecture , November 2020","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.585654Z"},"links":{"cited_paper":"/paper/2006.14548","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:93daa073b3f19febb0335b23a653c3128f31a50766f0f185c6c82d20b2fec1fc","observation_id":"9aa29abd-b32e-4dec-a0b2-38ec8449207f","resolution":{"observed_at":"2026-08-06T19:40:36.585654Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.14522","last_updated":"2022-07-15T17:04:24Z","snapshot_observed_at":"2026-07-06T10:18:51.318056Z","submitted_at":"2020-11-30T03:21:05Z","title":"Feature Learning in Infinite-Width Neural Networks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.14522","snapshot_observed_at":"2026-08-06T19:40:36.588862Z","title":"and Hu, E","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.588862Z"},"links":{"cited_paper":"/paper/2011.14522","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:1630699529ec04dfff668317068c227072aad53e2f6a14db2960f4a10d3e693b","observation_id":"29a2dc6d-16a0-433d-8cfb-fe976bfff7b4","resolution":{"observed_at":"2026-08-06T19:40:36.588862Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1907.10599","last_updated":"2020-04-09T15:12:11Z","snapshot_observed_at":"2026-08-07T09:39:13.263538Z","submitted_at":"2019-07-24T17:58:45Z","title":"A Fine-Grained Spectral Perspective on Neural Networks","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.10599","snapshot_observed_at":"2026-08-06T19:40:36.591973Z","title":"and Salman, H","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.591973Z"},"links":{"cited_paper":"/paper/1907.10599","citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:9445eadbf50125e5f70469ce29ebbbee67e25dbc1a8d1a42bfcc7eaab7ebc61d","observation_id":"edd23a6c-a5fd-488d-8d29-b14cf512c9d6","resolution":{"observed_at":"2026-08-06T19:40:36.591973Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.18653/v1/2022.emnlp-main.773","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:36.622739Z","title":"Instance Regularization for Discriminative Language Model Pre -training","venue":null,"work_id":"4971734a-6479-49b3-a4ec-71bc4a2df9c2","year":2022},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.596046Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:617d27c5d7bc35e9e45be568634031cfd05c23a69445a1b591771242262ade7c","observation_id":"9ec7b512-5b1c-4e67-8c0d-b3ad16d18166","resolution":{"observed_at":"2026-08-06T19:40:36.628259Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:40:36.599205Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-06T19:40:36.599205Z"},"links":{"citing_paper":"/paper/2507.05035"},"observation_digest":"sha256:b4ed6d60be1dcc6b9f39a5849a9dd049d9077611e9fa4d9fd1c3d42eed879f26","observation_id":"3e0426f0-9663-4311-bf80-a9afcdefa6de","resolution":{"observed_at":"2026-08-06T19:40:36.599205Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2507.05035","last_updated":"2025-07-07T14:17:44Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-07T09:39:49.738305Z","submitted_at":"2025-07-07T14:17:44Z","title":"Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens"},"reference_resolution":{"displayed":47,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":23,"verified_exact":7,"verified_fuzzy":16},"total_outbound_references":47},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2507.05035."}