{"as_of":"2026-08-08T18:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:05fb3ee4c737dd173c53c216b6ec9761474971eaa84b41085cb1381fa4df6e6f","coverage":[{"denominator":51,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":51,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T22:45:01.954179Z","state":"measured"},{"denominator":52,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":52,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T16:08:12.196409Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T09:16:03.099041Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"cited_work":{"arxiv_id":"2502.09106","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.09106","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Scaling law for stochas- tic gradient descent in quadratically parameterized linear regression.arXiv preprint arXiv:2502.09106","venue":null,"work_id":"2f6839fe-f2fa-4d9d-b68d-7f79f9760b1e","year":null},"citing_paper":{"arxiv_id":"2604.10208","last_updated":"2026-04-11T13:34:48Z","snapshot_observed_at":"2026-07-06T22:58:51.931478Z","submitted_at":"2026-04-11T13:34:48Z","title":"Mild Over-Parameterization Benefits Asymmetric Tensor PCA","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T16:08:12.196409Z"},"links":{"cited_paper":"/paper/2502.09106","citing_paper":"/paper/2604.10208"},"observation_digest":"sha256:2d7f763902c3855f6588d278567041bcecbaf7b540dda7de2d0ccea542b4033c","observation_id":"f2163b9f-3c66-4d74-9e2e-4b954d19bc32","resolution":{"observed_at":"2026-05-11T09:16:03.103124Z","resolver_source":"arxiv_id","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"}}],"links":{"evidence":"/evidence","html":"/paper/2502.09106/citation-record","integrity":"/paper/2502.09106/integrity","json":"/paper/2502.09106/citation-record.json","paper":"/paper/2502.09106"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T22:45:02.808831Z","title":null,"venue":null,"work_id":"de4f6fd8-c024-4f4f-a3e4-2bee3956bfc3","year":2020},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.682036Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:495d42046451233fd493ee912538e0e2f4f5fb5f26768fca2b33dd7f18c26b04","observation_id":"4760d784-3186-45c1-9e9f-0a8ab2a3a1d4","resolution":{"observed_at":"2026-08-07T22:45:02.813162Z","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":"2026-08-07T22:45:02.793605Z","title":"S., Hu, W., Li, Z., Salakhutdinov, R","venue":null,"work_id":"71067897-bb72-4cf9-b5b4-f930438e00c7","year":2019},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.686772Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:cc46088ce986d956a6eaef700c4d07a8a7f6443018689c14b219f898c0e936ca","observation_id":"0d2e83d8-bc44-4b4b-8fcc-2628f68f6aa4","resolution":{"observed_at":"2026-08-07T22:45:02.798581Z","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":"2026-08-07T22:45:02.777893Z","title":"A., Suzuki, T., Wang, Z., Wu, D., & Yang, G","venue":null,"work_id":"e71f0a2d-3e3d-40e9-bb7d-5d8cfdce8cd4","year":2022},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.691201Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:4561d7f8835b64447df5817aae027c4abc910a4a32e0beee1ed014e0faa61700","observation_id":"1f14731c-9479-4cde-bcf6-4ccd6bc164df","resolution":{"observed_at":"2026-08-07T22:45:02.782845Z","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":"2026-08-07T22:45:02.761651Z","title":null,"venue":null,"work_id":"ac12e9a8-ac76-41e5-8644-e09f63433bd4","year":2013},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.695912Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:fe50be8c1dbcdaf95669a7f9f4fe59d52d744c8bef9ef88f97f37c54339e677b","observation_id":"9a68ff27-9262-4dc2-bf18-e4972efb1e29","resolution":{"observed_at":"2026-08-07T22:45:02.767218Z","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":"2026-08-07T22:45:02.745846Z","title":null,"venue":null,"work_id":"2703c768-9cf1-4acf-8c31-a2a46ccd27ed","year":2024},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.700450Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:f40366ebcb7d976be8b64a00d29b6cd49eb6893e32f62d8136e0b84ad14cdfcf","observation_id":"fcd382f1-f025-4804-8f3d-063787622f93","resolution":{"observed_at":"2026-08-07T22:45:02.750632Z","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":"2026-08-07T22:45:02.730484Z","title":"L., Long, P","venue":null,"work_id":"b138a038-1f98-4958-a362-c2691570ef69","year":2020},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.704775Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:ae4165ae567f33899f75de10b2b760938c5edb5fc064e9cc7a199b6a71f6bc64","observation_id":"c6fdcc2d-1076-4ac0-88a2-62535bb6a5da","resolution":{"observed_at":"2026-08-07T22:45:02.735279Z","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":"2026-08-07T22:45:02.715389Z","title":"L., Montanari, A., & Rakhlin, A","venue":null,"work_id":"3d9c36ec-8fe2-4841-a775-4bd53e108d06","year":2021},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.709730Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:7225e7a79d39c59ea19dbb0dbfcb584b35204d30d50d93ed7ed75c387602e5fc","observation_id":"67631969-1c44-430b-a417-5cc4e3d7e723","resolution":{"observed_at":"2026-08-07T22:45:02.720314Z","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":"2026-08-07T22:45:02.700293Z","title":null,"venue":null,"work_id":"8af7b59d-e5bf-436c-884d-b53e6b2cbaf0","year":2021},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.714623Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:66ad73d85a1f68ea0e1c64b729fe688ff8af9f30a1bc0a748e09712fcb736195","observation_id":"91bbeae8-a30f-48af-a00b-2e7339e7e626","resolution":{"observed_at":"2026-08-07T22:45:02.704946Z","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":"2026-08-07T22:45:02.684079Z","title":null,"venue":null,"work_id":"e8adb19f-8c49-4f5f-a78d-387dfa1e5388","year":2019},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.719388Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:7c005fc0b1d9ce814532809f3052c1a5a5237dff32c768d8602a2224a4dbb109","observation_id":"599a1f9e-4835-4424-a1d2-0725d5617586","resolution":{"observed_at":"2026-08-07T22:45:02.689428Z","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":"2026-08-07T22:45:02.666843Z","title":null,"venue":null,"work_id":"90264ef4-5f23-4940-b67d-edf48fcc31ea","year":2024},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.724137Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:3e458490c58596b73fedc77b3c200f0e339f01491d2e6842cfbdd3784bf6a2eb","observation_id":"40f9a9d2-b095-4a64-a33d-d209e8e0a15d","resolution":{"observed_at":"2026-08-07T22:45:02.671919Z","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":"2106.02713","last_updated":"2022-03-15T01:53:28Z","snapshot_observed_at":"2026-07-06T11:16:09.664584Z","submitted_at":"2021-06-04T20:48:20Z","title":"Learning Curves for SGD on Structured Features","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.02713","snapshot_observed_at":"2026-08-07T22:45:01.729201Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.729201Z"},"links":{"cited_paper":"/paper/2106.02713","citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:aac6f785a38827dcfb21be627e0331292e43dbfa1d65905d90037f337c56393d","observation_id":"59f46074-dd84-4d79-b353-30f07fd49667","resolution":{"observed_at":"2026-08-07T22:45:01.729201Z","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":"2026-08-07T22:45:02.651985Z","title":null,"venue":null,"work_id":"c7c90b46-46ee-4948-b59c-befbcbb97730","year":2015},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.735131Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:2aeb6dabb6e3de28c525a692dfd7ab7f080c54922628dc38fe80eabdbe1c3975","observation_id":"066cfce6-1c86-4aef-ad24-e0bc4c171f77","resolution":{"observed_at":"2026-08-07T22:45:02.656296Z","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":"2026-08-07T22:45:02.637082Z","title":"T., & Hall, P","venue":null,"work_id":"aa0c8f8e-ecc6-4588-a4bd-0343aacbcd1e","year":2006},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.740407Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:869d033173b9116248bbe4f4b4cc62946e3032e9b4585f790ad84f190b0d6dbd","observation_id":"9df81968-883b-4d23-8079-f1fbd7975416","resolution":{"observed_at":"2026-08-07T22:45:02.641790Z","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":"2026-08-07T22:45:02.620620Z","title":"J., & Tao, T","venue":null,"work_id":"f73a52ef-c5a3-436b-b8c9-aef890575b3d","year":2005},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.745607Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:d894c919e3630ad00245ac85d44341cd07ca146068811eba077c346f5fdf0488","observation_id":"223633e3-e139-453f-95b7-c47eafb8389c","resolution":{"observed_at":"2026-08-07T22:45:02.625768Z","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":"2026-08-07T22:45:02.605369Z","title":null,"venue":null,"work_id":"5d408228-3a7d-49e8-9742-ad5d4d7938a7","year":2007},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.750557Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:a70d46bedaec6ef250ab2a5e6cff2deebcebf06ea133364204a2867f418d7452","observation_id":"c336bfb8-426f-467a-8846-9a5859b5baef","resolution":{"observed_at":"2026-08-07T22:45:02.610288Z","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":"2026-08-07T22:45:02.589579Z","title":null,"venue":null,"work_id":"50262588-774b-40fc-b7c6-048198431159","year":2018},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.755742Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:29c40d202915bc6dbe6aba01d1c4e3820692455a86cbbf00d666ba6bee3a950c","observation_id":"1822e000-f46f-45c9-9d25-e515b72b8488","resolution":{"observed_at":"2026-08-07T22:45:02.594908Z","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":"2026-08-07T22:45:02.573803Z","title":null,"venue":null,"work_id":"07775ead-0e78-4dd6-8a35-cab8c5a587be","year":2022},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.762274Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:20ec06bb6c8a0be2dd29d8233b60bc319ade347af6631a82569d0869ca35afd3","observation_id":"33015d8e-8ef4-4b3f-9cf1-089f6891834c","resolution":{"observed_at":"2026-08-07T22:45:02.578740Z","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":"2026-08-07T22:45:02.558405Z","title":null,"venue":null,"work_id":"a451c0f4-5e39-44fc-ab8a-93cfe9ab3fb7","year":2016},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.768151Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:afbeb6dfa33eeb6439de112b5f845eb4ddddc0a120f91212ae0a6ad77e176d08","observation_id":"ad43fd5e-0cd9-4c05-beea-776e282fe7ab","resolution":{"observed_at":"2026-08-07T22:45:02.563372Z","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":"2026-08-07T22:45:02.542451Z","title":null,"venue":null,"work_id":"cc6bc156-b18c-4e15-a795-17474027ef61","year":2017},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.773345Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:f547578b63a52565b7b3d6e12d6c74f5e62bdd0f67a5fda455b861767a0eaefc","observation_id":"e94491b4-c846-42fa-a821-b87b040ea6bf","resolution":{"observed_at":"2026-08-07T22:45:02.547526Z","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":"2026-08-07T22:45:02.526372Z","title":"M., Kidambi, R., & Netrapalli, P","venue":null,"work_id":"ca3f2233-f050-445e-845a-59841815caf1","year":2019},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.779022Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:205c69ca725355612840ea931eeceed9c18c27086ce992402d1df8455f9b3897","observation_id":"f4987d35-4ce2-4f54-ba79-6f9a8c0a4ebe","resolution":{"observed_at":"2026-08-07T22:45:02.531615Z","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":"2026-08-07T22:45:02.510403Z","title":null,"venue":null,"work_id":"a7fd6449-739d-4b19-93ef-c168cf10a867","year":2021},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.784438Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:08e3f6d4bac8c8e0a43fc79d86274fb007ec2cc590c1b1c8615a0579985684a9","observation_id":"d03d6019-a072-4995-8cfb-d1e5f6683541","resolution":{"observed_at":"2026-08-07T22:45:02.515242Z","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":"1706.02677","last_updated":"2018-04-30T21:53:41Z","snapshot_observed_at":"2026-07-06T05:46:07.424788Z","submitted_at":"2017-06-08T16:51:53Z","title":"Accurate, Large Minibatch SGD: Training ImageNet in 1 Hour","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.02677","snapshot_observed_at":"2026-08-07T22:45:01.790736Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.790736Z"},"links":{"cited_paper":"/paper/1706.02677","citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:8c6e921bf7a0a93643bff078879b59fb2f943179ecbc5e11b84588c75707e0a4","observation_id":"611b49bb-656c-4bc0-a4f8-e99b7c755293","resolution":{"observed_at":"2026-08-07T22:45:01.790736Z","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":"2026-08-07T22:45:02.493917Z","title":"E., Bhojanapalli, S., Neyshabur, B., & Srebro, N","venue":null,"work_id":"911fe5b6-c54c-4b40-88e9-3affaa8bb22e","year":2017},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.797567Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:1b6e55346a355fb715622f7bfc1dd4eaed5550ff88f214fa8add881e5bd7659d","observation_id":"472e7094-c151-4b8e-b8f0-ab1f190d34a3","resolution":{"observed_at":"2026-08-07T22:45:02.498871Z","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":"2026-08-07T22:45:02.479195Z","title":"Z., Wei, C., Lee, J., & Ma, T","venue":null,"work_id":"3d0fbb39-c181-49f7-9fc2-deb725832dfb","year":2021},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.804198Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:f6a6f8248bbb4e7c0f7f2eb2b8cc6ee303c5244bcb0c7e2927a6e04825ae5a5f","observation_id":"410ac9e7-99d4-4a61-8f8e-1302840b6196","resolution":{"observed_at":"2026-08-07T22:45:02.483578Z","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":"2026-08-07T22:45:02.463688Z","title":null,"venue":null,"work_id":"ccdecdae-52c7-4ff6-969a-00e1dc8ec25a","year":2022},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.810497Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:e43a353c4cde5f81d71297e59096a1155dd4208b14f255b9c56f1b22093b0d8d","observation_id":"7a7026c0-6ac2-479d-842b-8da8605d3b67","resolution":{"observed_at":"2026-08-07T22:45:02.468756Z","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":"2026-08-07T22:45:02.446939Z","title":null,"venue":null,"work_id":"1f2b2bed-d728-4300-935f-227e29ab9811","year":2018},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.816254Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:9c4d1a32235038fb44e1c978fc83efa074fb58db6b0976c8ad2b793d7134b153","observation_id":"c19fbc7e-b62c-48da-a41e-4ab165aad260","resolution":{"observed_at":"2026-08-07T22:45:02.452255Z","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":"2026-08-07T22:45:02.429171Z","title":"M., Kidambi, R., Netrapalli, P., & Sidford, A","venue":null,"work_id":"d126a81b-45ad-4750-9db4-f2584d9a4d2d","year":2018},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.823359Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:8377cc1d080eb06bc2fba1cfbec97a1e9f4fddeea759d9abd0494583e8f5c770","observation_id":"45c10b88-dd16-43cf-ab98-ebdf61f365c0","resolution":{"observed_at":"2026-08-07T22:45:02.435204Z","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":"2026-08-07T22:45:01.830132Z","title":"B., Chess, B., Child, R.,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.830132Z"},"links":{"cited_paper":"/paper/2001.08361","citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:8445f0535fff5f8f0163d4402a6a67b0f6fb40c51f56c64617922e0340019991","observation_id":"e716320a-0668-42ab-a67f-761dbc6de4b4","resolution":{"observed_at":"2026-08-07T22:45:01.830132Z","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":"2026-08-07T22:45:02.413253Z","title":null,"venue":null,"work_id":"bdc4c2bc-16d1-472b-8f5b-8d3837e57491","year":2015},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.836503Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:fe364faaeb1be1ff26bd513d4c7911bf8829e5dec0e9d6a3126d0ce6d790abcc","observation_id":"11156d1d-db4a-48e0-b744-443e6544337e","resolution":{"observed_at":"2026-08-07T22:45:02.418370Z","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":"2406.01581","last_updated":"2024-12-22T09:59:09Z","snapshot_observed_at":"2026-08-04T02:53:19.400873Z","submitted_at":"2024-06-03T17:56:58Z","title":"Neural network learns low-dimensional polynomials with SGD near the information-theoretic limit","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.01581","snapshot_observed_at":"2026-08-07T22:45:01.842552Z","title":"D., Oko, K., Suzuki, T., & Wu, D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.842552Z"},"links":{"cited_paper":"/paper/2406.01581","citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:47db5914d4675a79adfb06f7ee34fe8e3caa398a7d977f5bc4ebe11d1e900a96","observation_id":"8ac3e478-bbe8-4e5c-94d3-040fe6c75369","resolution":{"observed_at":"2026-08-07T22:45:01.842552Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1911.00809","last_updated":"2019-11-03T02:24:39Z","snapshot_observed_at":"2026-08-07T06:39:51.121786Z","submitted_at":"2019-11-03T02:24:39Z","title":"Enhanced Convolutional Neural Tangent Kernels","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1911.00809","snapshot_observed_at":"2026-08-07T22:45:01.848412Z","title":"S., Hu, W., Salakhutdinov, R., & Arora, S","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.848412Z"},"links":{"cited_paper":"/paper/1911.00809","citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:4931cb5e638041943ae28e458038328342b272da0ef1bc57488ed9447149edd0","observation_id":"5359dc43-2dea-49a0-a6f6-f1c5a2655f87","resolution":{"observed_at":"2026-08-07T22:45:01.848412Z","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":"2026-08-07T22:45:02.397139Z","title":null,"venue":null,"work_id":"9e8f2395-10f1-4573-aba2-fc40f0dceaec","year":2020},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.854780Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:d776d8db85ceeadf6bb7652947487ade0f445250f67f34cae701bb143581d3bb","observation_id":"65f8a9e6-9eb8-42fd-bbc5-1820ad6c53e5","resolution":{"observed_at":"2026-08-07T22:45:02.402259Z","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":"2026-08-07T22:45:02.378746Z","title":null,"venue":null,"work_id":"b2665485-8b1a-40fd-b3a5-1bb668e17028","year":2017},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.859652Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:4e476e6420020d013bdf8cb48b55de79eb30140e382f3fe074ddd71d131dcbca","observation_id":"86283d40-f194-4b74-84ef-ac3d00eadcf6","resolution":{"observed_at":"2026-08-07T22:45:02.383664Z","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":"2026-08-07T22:45:02.362313Z","title":"M., Bartlett, P., & Lee, J","venue":null,"work_id":"dab4748f-9eb6-45f9-a01b-9510f1763ecc","year":2024},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.864014Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:97c96adb2021e1a9dce9bcd012d2afffcec135214504d783069e807272d22c9d","observation_id":"dc2a2651-5392-4f39-99dc-c690e34094dc","resolution":{"observed_at":"2026-08-07T22:45:02.367318Z","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":"2309.04268","last_updated":"2024-06-28T09:59:08Z","snapshot_observed_at":"2026-07-06T16:16:07.182657Z","submitted_at":"2023-09-08T11:29:05Z","title":"Optimal Rate of Kernel Regression in Large Dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.04268","snapshot_observed_at":"2026-08-07T22:45:01.868859Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.868859Z"},"links":{"cited_paper":"/paper/2309.04268","citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:8bdc5a8767364ed721ef8d92e1c7fb8115d4d35ccea76307c61cf0f69a371ca9","observation_id":"7defaae6-598d-4d1d-9add-11fa67264a00","resolution":{"observed_at":"2026-08-07T22:45:01.868859Z","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":"2026-08-07T22:45:02.345658Z","title":null,"venue":null,"work_id":"d73587b5-75ed-4e86-a34d-6694fcb1e233","year":2022},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.875503Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:555ee552ab27b6a37abb0059fc2b09f3e82669b428249b60e84c299e59faf50a","observation_id":"6dd6f4d3-9069-49a5-9317-0f4cc7d6deac","resolution":{"observed_at":"2026-08-07T22:45:02.350483Z","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":"2026-08-07T22:45:02.330176Z","title":null,"venue":null,"work_id":"aac9a9c0-34ad-4d3f-9378-21659eab97d5","year":2018},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.880569Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:57697f371e9fd1f3e52981d27cbc01fc6ba909ae9d9c0bbc108e1e8860e3550d","observation_id":"dbf3fdeb-eb73-4127-b580-e6a45a56d001","resolution":{"observed_at":"2026-08-07T22:45:02.335108Z","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":"2209.14863","last_updated":"2023-03-15T18:13:09Z","snapshot_observed_at":"2026-08-01T14:44:51.015712Z","submitted_at":"2022-09-29T15:29:10Z","title":"Neural Networks Efficiently Learn Low-Dimensional Representations with SGD","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.14863","snapshot_observed_at":"2026-08-07T22:45:01.885509Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.885509Z"},"links":{"cited_paper":"/paper/2209.14863","citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:fe3503702c5c0e8338a17cab68d743a31e141468420966366708979f530bb1f1","observation_id":"871480ae-d2cd-4978-bf12-d729d99cb580","resolution":{"observed_at":"2026-08-07T22:45:01.885509Z","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":"2026-08-07T22:45:02.315940Z","title":null,"venue":null,"work_id":"ca9854dd-ff5b-4f64-8681-821100b2ed15","year":1995},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.891042Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:966b4749c11bbb1dac57f032b268be2e7d73abadeda78dbec73bb574868cf698","observation_id":"0418bb78-4a85-483d-9630-092663f195b2","resolution":{"observed_at":"2026-08-07T22:45:02.320058Z","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":"2026-08-07T22:45:02.301888Z","title":"J., & Yu, B","venue":null,"work_id":"17aaecae-f1a2-481a-8ccc-5e9ea2bd1ff1","year":2014},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.896266Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:fb2e21cab2901a292c9e00330b38257bec51d4625072cdb96251508c03b50f65","observation_id":"d1737fcc-0956-4a29-8a13-9a639f1bd7b6","resolution":{"observed_at":"2026-08-07T22:45:02.306013Z","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":"2026-08-07T22:45:02.285449Z","title":null,"venue":null,"work_id":"1fa8cd88-187e-400c-8081-21bcfc5cdac4","year":2023},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.901411Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:bc99c9e2a95eee471d36607eff535ed99f978e2ffbe185caa43f3966b390a0f9","observation_id":"ecb0b65d-718d-4a7b-8990-7e7a8cd1c534","resolution":{"observed_at":"2026-08-07T22:45:02.290386Z","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":"2026-08-07T22:45:02.269183Z","title":"V., Pillaud-Vivien, L., & Flammarion, N","venue":null,"work_id":"37a8ff3e-2280-478f-9a4e-c3896761bee1","year":2021},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.906997Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:84d890e9d26329be1df4f5e2777c85749f7ebbc0b8f1866a048b0f006fe9c215","observation_id":"71f24c24-6017-4cc8-be76-d3236fa87fdd","resolution":{"observed_at":"2026-08-07T22:45:02.274192Z","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":"2026-08-07T22:45:02.252391Z","title":null,"venue":null,"work_id":"e462d66b-38ef-41fa-988b-fe1fdcbf683e","year":2019},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.912440Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:50eb53c72baae19abb180897da2217230750c786b7a5aebf8469f018e3129aab","observation_id":"c7d8b43d-6a26-4a71-8552-82186aabc495","resolution":{"observed_at":"2026-08-07T22:45:02.257840Z","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":"2406.08658","last_updated":"2024-06-12T21:43:12Z","snapshot_observed_at":"2026-07-06T18:29:58.140132Z","submitted_at":"2024-06-12T21:43:12Z","title":"Pruning is Optimal for Learning Sparse Features in High-Dimensions","version":1},"cited_work":{"arxiv_id":"2406.08658","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.08658","snapshot_observed_at":"2026-08-07T22:45:02.033511Z","title":"Pruning is Optimal for Learning Sparse Features in High-Dimensions","venue":"stat.ML","work_id":"f64f4285-e6f7-4638-b046-b0c80ca99181","year":2024},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.918907Z"},"links":{"cited_paper":"/paper/2406.08658","citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:e2858c49fd1ee8496b67e45f22a36abbd61d41da6ef1aa7a1d5758035d71320e","observation_id":"ec39802a-18ec-4582-8920-3d154927581a","resolution":{"observed_at":"2026-08-07T22:45:02.041677Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T22:45:02.234580Z","title":null,"venue":null,"work_id":"1dae2ffe-790f-477d-be96-8779ca11ad27","year":2019},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.924433Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:f90ef69f2e623e8306ca47a8a949e9003815ee7ea086d1ec43a51bba9b9ef35c","observation_id":"39efac50-ca79-40a1-ab8a-8718c418bbab","resolution":{"observed_at":"2026-08-07T22:45:02.240221Z","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":"2026-08-07T22:45:02.219810Z","title":"D., Moroshko, E., Savarese, P., Golan, I.,","venue":null,"work_id":"401a1636-f630-47fd-aaf2-d346738ffe3f","year":2020},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.929468Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:110b3cabd0a9bc2bceb86a358087c15566ac707da7490c30b83da3353bb67f46","observation_id":"1639e466-ee7a-43ca-b0ca-291137d81f9a","resolution":{"observed_at":"2026-08-07T22:45:02.224508Z","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":"2026-08-07T22:45:02.204582Z","title":null,"venue":null,"work_id":"4522e306-2f2e-4f34-99dc-df7ab14c45c1","year":2022},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.934675Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:af612c782ba0453db1318e31cdbb11a8221d082172db3ce7df74a79cd2db5f9a","observation_id":"be46a56a-2dc3-4310-bc12-ee872b4f7e2b","resolution":{"observed_at":"2026-08-07T22:45:02.209155Z","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":"2401.01270","last_updated":"2024-01-02T16:14:35Z","snapshot_observed_at":"2026-07-06T17:10:52.289224Z","submitted_at":"2024-01-02T16:14:35Z","title":"Optimal Rates of Kernel Ridge Regression under Source Condition in Large Dimensions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.01270","snapshot_observed_at":"2026-08-07T22:45:01.939482Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.939482Z"},"links":{"cited_paper":"/paper/2401.01270","citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:a535ab796e36e8a6c7eff3e55b848d87356374b1c87fab22f6d2f111a95d9918","observation_id":"2a13ff9d-ad19-4dee-8c53-2802fc03cdf9","resolution":{"observed_at":"2026-08-07T22:45:01.939482Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.09745","last_updated":"2024-09-15T14:20:03Z","snapshot_observed_at":"2026-08-06T05:57:51.788241Z","submitted_at":"2024-09-15T14:20:03Z","title":"The Optimality of (Accelerated) SGD for High-Dimensional Quadratic Optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.09745","snapshot_observed_at":"2026-08-07T22:45:01.945278Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.945278Z"},"links":{"cited_paper":"/paper/2409.09745","citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:78c3983e26d94313390b4d8d4e316405efc4d402614589fcff2568008ba98ff3","observation_id":"1154d0e6-ff83-4c15-a2b3-b583cd9ce1eb","resolution":{"observed_at":"2026-08-07T22:45:01.945278Z","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":"2026-08-07T22:45:02.188964Z","title":"P., & Kakade, S","venue":null,"work_id":"962ed12b-7f8f-4b82-acef-948e594699f4","year":2021},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.949701Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:d73b7af8bf7004bde0fb8a3303a49416003cfbebb3124b1fae9676956c0ca7ae","observation_id":"13e6e460-765c-4060-98ab-6f1e3c761583","resolution":{"observed_at":"2026-08-07T22:45:02.193418Z","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":"2026-08-07T22:45:02.172240Z","title":null,"venue":null,"work_id":"bcda262e-802b-4351-9a3b-379a7a4d3939","year":2021},"citing_paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T22:45:01.954179Z"},"links":{"citing_paper":"/paper/2502.09106"},"observation_digest":"sha256:cb2bc1d83638ce70632f26d4935c111875230af0345a9d8f20ce4c85f84d654c","observation_id":"1aab2e70-feee-4444-af58-ad67da125719","resolution":{"observed_at":"2026-08-07T22:45:02.177887Z","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"}}],"paper":{"arxiv_id":"2502.09106","last_updated":"2025-02-13T09:29:04Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-08T12:32:21.474635Z","submitted_at":"2025-02-13T09:29:04Z","title":"Scaling Law for Stochastic Gradient Descent in Quadratically Parameterized Linear Regression"},"reference_resolution":{"displayed":51,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":35,"verified_exact":1,"verified_fuzzy":15},"total_outbound_references":51},"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 8 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2502.09106."}