{"as_of":"2026-08-18T00:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6b869550bd97de381c9b5aaec2a33055dbab8f9074ad264c6ecb7c2390b6966c","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":"2026-08-17T06:30:58.91139+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":"2026-08-15T23:26:42.312251Z","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":"sha256:8b78743350ef5a21fcf8a5e074ef365952bfff229a0a66018d8b84e6ec76f629","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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":"sha256:21b4acbd83f9c955f6462c181cb0e4fcb93c7d3017ee496a3ca341c3d4eed11e","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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":"sha256:6d5b32198fa2b684c14380b32a28a45de3049c1ffdaa4a3f7e6697237096544b","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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":"sha256:09a889b211b77a6f4ebf83397ccbacacf39d18a649e5376a5ee60d9dda91d273","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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":"sha256:208246ea1d2696cf1f292ffdd04813402010b0c7e692e4848fd1b6f953c5fe50","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.15809","last_updated":"2022-10-13T23:05:28Z","snapshot_observed_at":"2026-08-16T16:56:19.690640Z","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":"2026-08-15T23:26:42.312251Z","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":"sha256:00a0fe210bd362a6aa25c33617f04b7833b5e523069e41dd6fcb63c502c60b70","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":"2026-08-15T23:26:42.312251Z","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":"sha256:8ea9d4c8aea846183d4adf9e3a31faadb286e8ff28d5e6d01991eece76f4c827","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":"2026-08-15T23:26:42.312251Z","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:b8201cbf30b657d316c944a493e5d08a8221c9660a554342d6232a89593921c5","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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":"sha256:04093053f80b0c06ef6188bb772bc753e2388df8d75eaabc1fabfd34d73a0440","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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:df499238afa94423a3677292b67f9aa61e8fb2428100d050715cda2bbc24391d","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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":"sha256:9c4221d19506a920acb53fe6f50ab047e1461cf08c93e1b45c24adb6dea6b671","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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:d038cc6d04e40c01cf15b2ae912f0eefa0e22a8373784e6686957698fcad1942","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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":"sha256:3b661dad610ffbe73963f06eb85def46a67bd9196c8f6a8c4c600414330b637c","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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":"sha256:165d690883d2e792dfccbf6d634bcf6e2ca48cf8e63d91987734eb844dbc3871","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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:d905dd7f3ce04def081b8a48b121f47241f7e99b390ae4825be959383eaaec03","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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":"sha256:7bb4088bdd2137e5583b82fd404aa1bd4c450c6c2ab2f13174092633c68545e8","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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:c2e6bfe86514d593e44d6bc679ae016be7fe7c8df169f898500bce59142f37b4","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2001.01878","last_updated":"2020-01-07T03:55:32Z","snapshot_observed_at":"2026-07-30T16:24:54.350031Z","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":"2026-08-15T23:26:42.312251Z","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":"sha256:4949aee3a4aca0aca1fbda70f1747244a767cfab5a6e1c1753cf9327ae36403d","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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":"sha256:2477a18e3af64455f65c3e5dd2012955e8a7263f585387f6e2f0e0523bf6c84c","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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:ae26d3e0c98410bb03e0d46662fe945143f87f7a68779ec4192645604bab49ef","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":"2026-08-15T23:26:42.312251Z","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":"sha256:9b4d12750d9f48740dcc7aad534104ad5d430e7bfe8430c2f9e1c53196712c6c","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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":"sha256:10becb1237b3b3efa4a958e5320a5f821dc98148b07010ba438a40a70d289c14","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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":"sha256:76e2154fdec8ec5927b080df1365b95ad8f0ca2c20e5f97360df90def538deef","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.14602","last_updated":"2021-05-30T19:07:33Z","snapshot_observed_at":"2026-08-16T18:21:04.302372Z","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":"2026-08-15T23:26:42.312251Z","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:d618c54f967abe3f6cce6a19e22411c67844a26774dfffc926f9760557ab7933","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":"2026-08-15T23:26:42.312251Z","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":"sha256:2c31944aeba9e8cbf95244993c4cff2a6d56d840fb0829ad84b1350f84a8db3c","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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:fb96d835e5cbb5df3438ec001ed8724069082f1a5e4ce2349cffa1dc84ff4e33","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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:e081fc258b493550965946f46d05196ae1604f8ee2a02fa49e0d8f5ee5f96567","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:26:42.312251Z","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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2505.06597."}