{"as_of":"2026-08-09T16:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ccae45dec74b3b6a4e6a0268328c7f66458492dae170d2d11c7efc7038601418","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":14,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:07:11.363600Z","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":"2026-07-03T00:47:30.894991Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":"1805.00915","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-07-03T00:47:30.894991Z","title":"Rotskoff and E","venue":null,"work_id":"5ca9606b-d6fd-4dbe-a7cf-617d0c696f55","year":2018},"citing_paper":{"arxiv_id":"1907.00485","last_updated":"2019-06-30T22:27:13Z","snapshot_observed_at":"2026-08-03T03:23:50.494089Z","submitted_at":"2019-06-30T22:27:13Z","title":"Robust and Resource Efficient Identification of Two Hidden Layer Neural Networks","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-05-25T12:22:47.849439Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/1907.00485"},"observation_digest":"sha256:a0e2577f460096c4589ade9dc61784dc56360fce48d946f73bed188aeddf7812","observation_id":"033a1e01-5e91-4d06-9408-6538aa5d971d","resolution":{"observed_at":"2026-05-25T12:25:48.183634Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":"1805.00915","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-07-03T00:47:30.894991Z","title":"Rotskoff and E","venue":null,"work_id":"5ca9606b-d6fd-4dbe-a7cf-617d0c696f55","year":2018},"citing_paper":{"arxiv_id":"2310.10742","last_updated":"2026-04-05T21:57:18Z","snapshot_observed_at":"2026-07-06T16:34:08.044974Z","submitted_at":"2023-10-16T18:19:20Z","title":"Mean-field limit of particle systems with absorption","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-24T06:21:57.750645Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/2310.10742"},"observation_digest":"sha256:e4c309e557fe9f8c99ebe5011255ec710ecbf68a23d389690a7bcee8fdf1185b","observation_id":"8fd30642-6981-4a8e-9d96-b8995a613049","resolution":{"observed_at":"2026-05-24T06:23:59.955881Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":"1805.00915","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-07-03T00:47:30.894991Z","title":"Rotskoff and E","venue":null,"work_id":"5ca9606b-d6fd-4dbe-a7cf-617d0c696f55","year":2018},"citing_paper":{"arxiv_id":"2401.01335","last_updated":"2024-06-14T21:17:17Z","snapshot_observed_at":"2026-07-06T17:10:56.398607Z","submitted_at":"2024-01-02T18:53:13Z","title":"Self-Play Fine-Tuning Converts Weak Language Models to Strong Language Models","version":3},"reference_index":211,"source":"arxiv_source","source_observed_at":"2026-05-14T23:00:20.720030Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/2401.01335"},"observation_digest":"sha256:0c411bbb3c9b0b26e69eb8fc3078f3fc55502999e46edc893561e404febeebae","observation_id":"543efb9a-b1c8-4957-bd12-3004f3947de5","resolution":{"observed_at":"2026-05-14T23:00:21.381385Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":"1805.00915","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-07-03T00:47:30.894991Z","title":"Rotskoff and E","venue":null,"work_id":"5ca9606b-d6fd-4dbe-a7cf-617d0c696f55","year":2018},"citing_paper":{"arxiv_id":"2402.08106","last_updated":"2026-05-07T16:54:55Z","snapshot_observed_at":"2026-07-06T17:29:13.310354Z","submitted_at":"2024-02-12T22:52:32Z","title":"Mirror Descent-Ascent for mean-field min-max problems","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-24T03:47:22.184621Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/2402.08106"},"observation_digest":"sha256:35da022a11411e181e249f206e86ed207bd577e96a2712d0127962c46a5422e4","observation_id":"edbdb1df-1cb0-4048-a220-b85eb11f7af0","resolution":{"observed_at":"2026-05-24T03:48:53.049650Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-08-06T21:07:11.363600Z","title":"Representation compression and general- ization in deep neural networks","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.00951","last_updated":"2025-07-12T02:50:17Z","snapshot_observed_at":"2026-08-08T07:11:19.635744Z","submitted_at":"2025-07-01T16:52:25Z","title":"Thinking Beyond Tokens: From Brain-Inspired Intelligence to Cognitive Foundations for Artificial General Intelligence and its Societal Impact","version":3},"reference_index":189,"source":"pdf_text","source_observed_at":"2026-08-06T21:07:11.363600Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/2507.00951"},"observation_digest":"sha256:87bb8e5aa1af68d5dcf303e91f29ec9560628ba638d15e107ffb615f362a674b","observation_id":"26011c8a-0f6d-4fad-956d-580c700b52ab","resolution":{"observed_at":"2026-08-06T21:07:11.363600Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-08-06T18:32:23.541601Z","title":"Rotskoff and Eric Vanden-Eijnden","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.08486","last_updated":"2025-07-11T11:04:46Z","snapshot_observed_at":"2026-08-08T12:46:52.942418Z","submitted_at":"2025-07-11T11:04:46Z","title":"Genericity of Polyak-Lojasiewicz Inequalities for Entropic Mean-Field Neural ODEs","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T18:32:23.541601Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/2507.08486"},"observation_digest":"sha256:65b44d91fe87674d43b12bb16063adf5c9ebcbf4a02769fb48f3dfdf1c26a523","observation_id":"ccdab250-9f6c-4c42-b100-9ceba63b2a8c","resolution":{"observed_at":"2026-08-06T18:32:23.541601Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":"1805.00915","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-07-03T00:47:30.894991Z","title":"Rotskoff and E","venue":null,"work_id":"5ca9606b-d6fd-4dbe-a7cf-617d0c696f55","year":2018},"citing_paper":{"arxiv_id":"2511.02258","last_updated":"2026-07-23T09:50:05Z","snapshot_observed_at":"2026-08-04T00:22:00.652808Z","submitted_at":"2025-11-04T04:52:19Z","title":"Limit Theorems for Stochastic Gradient Descent in High-Dimensional Single-Layer Networks","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-18T01:54:21.607337Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/2511.02258"},"observation_digest":"sha256:8d8a05cdb60b9d52139a9c8ea8378294b35794eabaf9c506cf21ade17d4b9251","observation_id":"8a0256a6-2366-49b5-9d22-bab7bbaccddd","resolution":{"observed_at":"2026-05-18T01:55:38.129353Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-08-04T00:22:01.242931Z","title":"Rotskoff and Eric Vanden-Eijnden","venue":null,"work_id":null,"year":1935},"citing_paper":{"arxiv_id":"2511.02258","last_updated":"2026-07-23T09:50:05Z","snapshot_observed_at":"2026-08-04T00:22:00.652808Z","submitted_at":"2025-11-04T04:52:19Z","title":"Limit Theorems for Stochastic Gradient Descent in High-Dimensional Single-Layer Networks","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T00:22:01.242931Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/2511.02258"},"observation_digest":"sha256:f1e6cbd0e7c4a56bf0ff5b07d362717a48fa68e0dcded32379bb5be7b9f61003","observation_id":"14f47da4-a70a-41c4-bb92-2d9732d5c14c","resolution":{"observed_at":"2026-08-04T00:22:01.242931Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":"1805.00915","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-07-03T00:47:30.894991Z","title":"Rotskoff and E","venue":null,"work_id":"5ca9606b-d6fd-4dbe-a7cf-617d0c696f55","year":2018},"citing_paper":{"arxiv_id":"2605.00229","last_updated":"2026-04-30T21:06:46Z","snapshot_observed_at":"2026-07-06T23:13:42.661364Z","submitted_at":"2026-04-30T21:06:46Z","title":"A unified perspective on fine-tuning and sampling with diffusion and flow models","version":1},"reference_index":133,"source":"arxiv_source","source_observed_at":"2026-05-09T19:43:42.331642Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/2605.00229"},"observation_digest":"sha256:157a8e7af81cb30116180031057f622014dcffd92b2e8934f66f913825d65707","observation_id":"0b93df28-e0df-4f55-9a62-1b013180fb02","resolution":{"observed_at":"2026-05-11T15:31:21.483348Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":"1805.00915","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-07-03T00:47:30.894991Z","title":"Rotskoff and E","venue":null,"work_id":"5ca9606b-d6fd-4dbe-a7cf-617d0c696f55","year":2018},"citing_paper":{"arxiv_id":"2605.22010","last_updated":"2026-05-21T05:14:19Z","snapshot_observed_at":"2026-07-06T23:32:25.286443Z","submitted_at":"2026-05-21T05:14:19Z","title":"Uniform-in-Time Weak Propagation-of-Chaos in Shallow Neural Networks","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-22T04:30:48.081597Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/2605.22010"},"observation_digest":"sha256:7232568ef729ccd43fde11de72839144c10a79251f6ee8e2b72dede8a80f8612","observation_id":"7a4f8f42-66b0-48d1-ba0a-ce89304480d4","resolution":{"observed_at":"2026-05-22T04:31:03.665978Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":"1805.00915","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-07-03T00:47:30.894991Z","title":"Rotskoff and E","venue":null,"work_id":"5ca9606b-d6fd-4dbe-a7cf-617d0c696f55","year":2018},"citing_paper":{"arxiv_id":"2606.10089","last_updated":"2026-06-08T19:16:32Z","snapshot_observed_at":"2026-08-02T05:36:24.589418Z","submitted_at":"2026-06-08T19:16:32Z","title":"A Theory on Flow Matching with Neural Networks","version":1},"reference_index":234,"source":"arxiv_source","source_observed_at":"2026-06-27T16:59:34.084575Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/2606.10089"},"observation_digest":"sha256:fd838161086e77e9af12d6910d448b91fc3fb1609d07217ffa9ed86eec0bf0ef","observation_id":"8aaa421b-089c-4053-b0fd-25174f64a6f3","resolution":{"observed_at":"2026-07-03T00:47:30.896984Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":"1805.00915","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-07-03T00:47:30.894991Z","title":"Rotskoff and E","venue":null,"work_id":"5ca9606b-d6fd-4dbe-a7cf-617d0c696f55","year":2018},"citing_paper":{"arxiv_id":"2606.30831","last_updated":"2026-07-23T18:53:12Z","snapshot_observed_at":"2026-08-04T02:09:09.481541Z","submitted_at":"2026-06-29T19:01:43Z","title":"Geometric Dyson Brownian Motions and the Free Log-Normal Limit for a Non-Square Gaussian Matrix Product","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-01T01:42:14.145227Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/2606.30831"},"observation_digest":"sha256:a502a663e7edd92094386d8b9c177e355dce94f5e96d08f269d616d05776bb53","observation_id":"f5a7887c-077e-4a69-aedf-2ae61185b924","resolution":{"observed_at":"2026-07-01T12:55:43.881081Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-08-02T09:36:51.740009Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.30831","last_updated":"2026-07-23T18:53:12Z","snapshot_observed_at":"2026-08-04T02:09:09.481541Z","submitted_at":"2026-06-29T19:01:43Z","title":"Geometric Dyson Brownian Motions and the Free Log-Normal Limit for a Non-Square Gaussian Matrix Product","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-02T09:36:51.740009Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/2606.30831"},"observation_digest":"sha256:55134ecbc5176a08f39fbb6a3248c2fb093da5b582947f5f0eaec820c914ecb8","observation_id":"47725617-9b45-44d7-bcd4-5f1fa95b24fe","resolution":{"observed_at":"2026-08-02T09:36:51.740009Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.00915","snapshot_observed_at":"2026-07-12T01:11:50.444218Z","title":"arXiv e-prints, page , author=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.03613","last_updated":"2026-07-03T22:03:13Z","snapshot_observed_at":"2026-07-12T01:11:45.525555Z","submitted_at":"2026-07-03T22:03:13Z","title":"Implicit Bias of SGD in Multivariate ReLU Networks: Effective Width Collapse","version":1},"reference_index":256,"source":"arxiv_source","source_observed_at":"2026-07-12T01:11:50.444218Z"},"links":{"cited_paper":"/paper/1805.00915","citing_paper":"/paper/2607.03613"},"observation_digest":"sha256:436d5e7b371800e054a273c7f9ba75a55861e3ce64d5080fc41433628169b282","observation_id":"3ffb25da-2f5d-46eb-b9b6-1caba77633bf","resolution":{"observed_at":"2026-07-12T01:11:50.444218Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1805.00915/citation-record","integrity":"/paper/1805.00915/integrity","json":"/paper/1805.00915/citation-record.json","paper":"/paper/1805.00915"},"outbound":[],"paper":{"arxiv_id":"1805.00915","last_updated":"2019-07-30T14:20:51Z","latest_version":3,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-09T03:08:46.434421Z","submitted_at":"2018-05-02T17:23:42Z","title":"Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:1805.00915."}