{"as_of":"2026-08-20T07:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d86bb22a99d1ce96b81f7b6772c3ab2ce2d4f13323b076c4b120fd518764c37c","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T22:45:54.893209Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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/2505.06597/citation-record","integrity":"/paper/2505.06597/integrity","json":"/paper/2505.06597/citation-record.json","paper":"/paper/2505.06597"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T22:45:55.280158Z","title":"The Information Bottleneck Method,","venue":null,"work_id":"60f2883c-656d-4619-b64e-2594d583e317","year":2000},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.788047Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:d8ffea0c734ae5526f8a0614b438cc0d5f69438fd83c321cd369f38e74650ad8","observation_id":"d80e6a1c-be28-4661-9b81-1fa601c5c969","resolution":{"observed_at":"2026-08-15T22:45:55.284437Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.265826Z","title":"Information bottleneck for Gaussian variables,","venue":null,"work_id":"b1fdc071-bbf2-4337-9727-57216d70e07d","year":2003},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.792571Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:87200a2e15bb25ccbce656abec24c71e89575b8a74c45f4ce5753700cbd99054","observation_id":"bf278003-135d-42a6-b1e4-66e8c07d47e4","resolution":{"observed_at":"2026-08-15T22:45:55.270694Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.251637Z","title":"Learnability for the information bottleneck,","venue":null,"work_id":"9e5c112b-c620-4e9b-9e72-a3f7f8354d1d","year":2020},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.796621Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:91fc7fd7472c198795ac8638e0a51a1ae6d40c84f9cc2203fab69c61200d80f5","observation_id":"cf9ff77b-8557-49ff-a681-4d7a62df0eae","resolution":{"observed_at":"2026-08-15T22:45:55.256326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.236969Z","title":"Zeroth, first, and second-order phase transitions in deep neural networks,","venue":null,"work_id":"6a74009a-4c88-431b-9daa-9e15732bb6aa","year":2023},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.800733Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:77b57984b035dd99d4316012fad2b7334476eb2f3cc6841c249125899afbb1b4","observation_id":"ae2e9cfe-71e6-40ea-8308-c8468766a365","resolution":{"observed_at":"2026-08-15T22:45:55.242676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevresearch.7.023010","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T22:45:54.923528Z","title":"& Janssen, L","venue":null,"work_id":"07e3f4c0-dbe0-4b9b-b28a-4b8e76db9a5d","year":2025},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.805010Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:022559bfede4335c63e192fc2fcab03d71f6003a2114300421ecc0b3ccba4ebb","observation_id":"1f582bc0-33e6-43c2-b555-2dfea6d960ab","resolution":{"observed_at":"2026-08-15T22:45:54.928573Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.15809","last_updated":"2022-10-13T23:05:28Z","snapshot_observed_at":"2026-08-18T20:19:51.747980Z","submitted_at":"2022-05-31T14:10:15Z","title":"Feature Learning in $L_{2}$-regularized DNNs: Attraction/Repulsion and Sparsity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.15809","snapshot_observed_at":"2026-08-15T22:45:54.809438Z","title":"& Gabriel, F","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.809438Z"},"links":{"cited_paper":"/paper/2205.15809","citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:a5e29fffa76c670d74f8bf35ee8a7598cfcf03bbdd35e48dfce668b6ffb26691","observation_id":"1abeeb64-ad7c-4b1e-9d7e-60e63e3aa1b0","resolution":{"observed_at":"2026-08-15T22:45:54.809438Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.03789","last_updated":"2024-05-05T12:21:36Z","snapshot_observed_at":"2026-08-16T14:54:42.484430Z","submitted_at":"2023-10-05T18:00:01Z","title":"Grokking as a First Order Phase Transition in Two Layer Networks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.03789","snapshot_observed_at":"2026-08-15T22:45:54.813938Z","title":"& Ringel, Z","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.813938Z"},"links":{"cited_paper":"/paper/2310.03789","citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:8cd0156df97c4a70fc2a432b57b5daf7b23fcc1921543884e2e1d6b0d49fa9e8","observation_id":"16876b05-0a77-44dd-a059-23aec6423e81","resolution":{"observed_at":"2026-08-15T22:45:54.813938Z","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":"2026-08-15T22:45:55.223413Z","title":"& Pos- ner, I","venue":null,"work_id":"36c4b363-2996-4440-823c-a5478bea1b9a","year":2025},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.818751Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:346733711d83a845bc970f7034399320141454aee56c0c92d67c65b4f524e002","observation_id":"510e46ed-b3ff-4db1-bd61-07487e8a4b50","resolution":{"observed_at":"2026-08-15T22:45:55.228080Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.209762Z","title":"& Tegmark, M","venue":null,"work_id":"c169bc09-b6e4-46af-9bac-441e62f85aa6","year":2023},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.822516Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:c712ed634a2c78d6e52437911e94e5bf1f3c8c0d4fd795cfb0fe1bff265c93d7","observation_id":"48b94b44-6333-4f3a-a019-12fc403f8282","resolution":{"observed_at":"2026-08-15T22:45:55.214361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.196924Z","title":"Natural gradient works efficiently in learn- ing,","venue":null,"work_id":"2935cc3b-2095-4766-b172-cf399a97cc41","year":1998},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.826606Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:07c5952680a7b2c88dd5f4b2f95c1cb5e88e9d266ec0109c2cf7ed11553cdb02","observation_id":"077e7655-91f7-485d-882b-1a0a542a6794","resolution":{"observed_at":"2026-08-15T22:45:55.201452Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.183262Z","title":"Amari, Information Geometry and Its Applications , vol","venue":null,"work_id":"0ce86226-be6d-4ea1-9773-c0730b950fed","year":2016},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.830739Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:f6cac1df7e7913755f4dfcc162ca1c028a0b24d318007dd9899f1179ff05f8f5","observation_id":"0f7260a2-b6f8-4e14-a030-631b4a164ce8","resolution":{"observed_at":"2026-08-15T22:45:55.187483Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.167902Z","title":"Identifying and attacking the saddle point problem in high-dimensional non-convex optimization,","venue":null,"work_id":"6b42b6cd-8057-4f7c-9368-d52497b84736","year":2014},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.834865Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:ad5a9826c6279269a25ce20e68a0dd5b2cd2489b757e1c7e2f8be07ac1a34974","observation_id":"58fa20a5-4070-4b22-911c-9212279967b7","resolution":{"observed_at":"2026-08-15T22:45:55.174291Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.154104Z","title":"The loss surfaces of multilayer net- works,","venue":null,"work_id":"2ea1686f-ebdb-4839-86b4-378de1b4af92","year":2015},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.838660Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:9efd23c9f9b04f6bf376ca650b2089516cfff45c723d7e74c63077223adba5bd","observation_id":"fa5c5194-1235-45e6-94f9-f8525a16eafe","resolution":{"observed_at":"2026-08-15T22:45:55.158673Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.139725Z","title":null,"venue":null,"work_id":"b957bd2b-8b45-442e-b7c0-fac4f0fd6ef9","year":2006},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.843057Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:b9821785f894cc911031e376af27c0af3001baac95a9e3e6d8bf4c034136c45c","observation_id":"3c03ed9c-04c6-4328-91f4-420bcfc4b4cc","resolution":{"observed_at":"2026-08-15T22:45:55.144418Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.124687Z","title":"Goodfellow, Y","venue":null,"work_id":"179327bb-d030-4c02-a6f1-71d495626364","year":2016},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.846856Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:e98eb17bcb62214729c48defca5d1a4564061beacc2ec0914f0732a642cde4e9","observation_id":"8d0c8abf-bbcc-42dc-ad2d-9f15099a3b89","resolution":{"observed_at":"2026-08-15T22:45:55.129139Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.110890Z","title":"Ridge regression: Bi- ased estimation for nonorthogonal problems,","venue":null,"work_id":"654830b5-b39e-41ac-8bfb-c96a4ec55533","year":1970},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.850642Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:fe961dd75ccd1917430f81b314f5941011febf8e81a5c9d3e36351237efe5e21","observation_id":"06c0415e-5c75-49b0-a12f-d55defb09c56","resolution":{"observed_at":"2026-08-15T22:45:55.115291Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.097187Z","title":"Feature Learning in L2-regularized DNNs: Attrac- tion/Repulsion and Sparsity,","venue":null,"work_id":"8f77bbea-6a01-4baf-a9c3-382528188288","year":2022},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.854652Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:a789175ca6488a0ad2c4f61452c687b5142d97d73d3164908970b37675260256","observation_id":"49a497d8-1430-425c-b335-ebbe2ebe6054","resolution":{"observed_at":"2026-08-15T22:45:55.101355Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2001.01878","last_updated":"2020-01-07T03:55:32Z","snapshot_observed_at":"2026-08-18T17:17:51.900282Z","submitted_at":"2020-01-07T03:55:32Z","title":"Phase Transitions for the Information Bottleneck in Representation Learning","version":1},"cited_work":{"arxiv_id":"2001.01878","doi":null,"metadata_source":"pith","pith_arxiv_id":"2001.01878","snapshot_observed_at":"2026-08-15T22:45:54.953674Z","title":"Phase Transitions for the Information Bottleneck in Representation Learning","venue":"cs.LG","work_id":"33ac7ff0-0cc7-4c76-827c-f3937fec8769","year":2020},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.858484Z"},"links":{"cited_paper":"/paper/2001.01878","citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:10478620f26178462a3db14f8bded31d380410a152bbfaec10587d268e93f7c1","observation_id":"3f633295-ee20-4500-97cc-12f4dff75057","resolution":{"observed_at":"2026-08-15T22:45:54.959101Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.084452Z","title":"Information-Driven Learning from High-Dimensional Data,","venue":null,"work_id":"4ca5d832-0c4b-43b9-bbf4-cb234f102d63","year":2019},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.862815Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:0df42e93bd13974695be721599a9fab0b9d0cea6573d43f17e5ec3d4ea1b20d6","observation_id":"91ca2e2e-1e6c-4bfd-966a-477fbd0e3d0b","resolution":{"observed_at":"2026-08-15T22:45:55.088775Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:54.866758Z","title":"Deep learning,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.866758Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:fb2a7b22f95a670187c5d1d5437ce83b643fa7e93f20f78267767fc388a511ab","observation_id":"dd5bfd17-c154-4fbe-9a36-3e438ef914db","resolution":{"observed_at":"2026-08-15T22:45:54.866758Z","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":"2026-08-15T22:45:55.061516Z","title":"Zeroth, first, and second-order phase transitions in deep neural networks,","venue":null,"work_id":"e81afe7a-41f5-4576-8977-1b732566b1ba","year":2023},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.870475Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:9ccd255c1e21f4e4c72e50535ab643cc7406c5dae750dd85ef1ceaa5a7852beb","observation_id":"b332df36-63fe-4984-bd01-0fcb8fa30520","resolution":{"observed_at":"2026-08-15T22:45:55.066691Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.047625Z","title":"Watanabe, Algebraic Geometry and Statistical Learn- ing Theory , vol","venue":null,"work_id":"198d0176-05b9-4e12-a216-57e8988654cc","year":2009},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.874146Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:b6fe9eb6b2610d945d3d7c7dfdd9d540cdaf1558fe5126b344d9ebabeb80cb34","observation_id":"2c202ebe-546f-4671-b761-646a27a06857","resolution":{"observed_at":"2026-08-15T22:45:55.051615Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.033930Z","title":"The global landscape of neural networks: An overview,","venue":null,"work_id":"75e009ab-deaf-47b9-b37a-94864e838681","year":2020},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.877709Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:cda007c68c78205309baaba4cdedea9352a68b513bee9c2f523b2afc4010fffa","observation_id":"3db3d513-8e92-458d-ab02-e83078d0a71e","resolution":{"observed_at":"2026-08-15T22:45:55.039101Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.14602","last_updated":"2021-05-30T19:07:33Z","snapshot_observed_at":"2026-08-18T20:18:05.478703Z","submitted_at":"2021-05-30T19:07:33Z","title":"On the geometry of generalization and memorization in deep neural networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.14602","snapshot_observed_at":"2026-08-15T22:45:54.881462Z","title":"On the geometry of generalization and memorization in deep neural networks,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.881462Z"},"links":{"cited_paper":"/paper/2105.14602","citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:436a82f0fe672ed7ca6250434660d859b71e667a17be9dde783d6435c3ba580b","observation_id":"ea369552-61ff-4925-910f-0c909b3f74cd","resolution":{"observed_at":"2026-08-15T22:45:54.881462Z","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":"2026-08-15T22:45:55.020930Z","title":"Lang, Fundamentals of Differential Geometry , vol","venue":null,"work_id":"0c0ce7af-23b7-4f11-9af2-ede5e1a2ccff","year":2012},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.885513Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:2943db069f27ff5462cca0acd9d1119463949db662af14c103a18dc267cc416b","observation_id":"8a0f58bd-923d-464b-a973-54edbc30e9d4","resolution":{"observed_at":"2026-08-15T22:45:55.025171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:55.006328Z","title":null,"venue":null,"work_id":"e7eb912d-79da-41ac-97e1-afefcea9a629","year":2018},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.889196Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:b19b8b6cd9eec8ad3e4bd9722a6dd3b4a4135749e051f2318ec750bbc3a9ba49","observation_id":"d9f117c4-e69e-45fc-a370-a4b875758382","resolution":{"observed_at":"2026-08-15T22:45:55.010442Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T22:45:54.992729Z","title":"Auto-encoding varia- tional bayes,","venue":null,"work_id":"77224fa9-8c25-4d39-a18f-e822c79ee487","year":2013},"citing_paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T22:45:54.893209Z"},"links":{"citing_paper":"/paper/2505.06597"},"observation_digest":"sha256:9b6cd3895678fb2c254bba3e1d920b9750b8e7ddfa9a439dbe0e68d4fc895b35","observation_id":"925530aa-e346-46f2-9a9f-ead41c375ded","resolution":{"observed_at":"2026-08-15T22:45:54.997128Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.06597","last_updated":"2025-08-27T21:11:13Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-18T20:19:08.388458Z","submitted_at":"2025-05-10T11:02:30Z","title":"Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":2,"verified_fuzzy":19},"total_outbound_references":27},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2505.06597."}