{"as_of":"2026-08-10T20:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5c4f507faeca65aa51b45bb3d256272ec56761f26efb9e9870987d64c24e4212","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T14:47:40.329559Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-23T03:25:20.632662Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2006.10732","last_updated":"2020-12-08T19:12:44Z","snapshot_observed_at":"2026-08-10T11:28:20.275496Z","submitted_at":"2020-06-18T17:57:26Z","title":"When Does Preconditioning Help or Hurt Generalization?","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.10732","snapshot_observed_at":"2026-08-09T14:47:40.329559Z","title":"When does preconditioning help or hurt generalization? arXiv preprint arXiv:2006.10732, 2020","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2502.01763","last_updated":"2025-02-03T19:08:32Z","snapshot_observed_at":"2026-08-10T11:24:38.785549Z","submitted_at":"2025-02-03T19:08:32Z","title":"On The Concurrence of Layer-wise Preconditioning Methods and Provable Feature Learning","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-09T14:47:40.329559Z"},"links":{"cited_paper":"/paper/2006.10732","citing_paper":"/paper/2502.01763"},"observation_digest":"sha256:d7cdf8a41c2e01786a1be48dec40db63dfd8a4bcd7797fbfc53da264c3674d55","observation_id":"bc46bb90-4b9e-4c1f-8db1-4c69c55aa12b","resolution":{"observed_at":"2026-08-09T14:47:40.329559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.10732","last_updated":"2020-12-08T19:12:44Z","snapshot_observed_at":"2026-08-10T11:28:20.275496Z","submitted_at":"2020-06-18T17:57:26Z","title":"When Does Preconditioning Help or Hurt Generalization?","version":4},"cited_work":{"arxiv_id":"2006.10732","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2006.10732","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"When does preconditioning help or hurt generalization?arXiv preprint arXiv:2006.10732","venue":null,"work_id":"8e38d6e1-be7c-4cfc-ac0e-33a72bf69b5a","year":2006},"citing_paper":{"arxiv_id":"2502.05075","last_updated":"2026-04-19T21:23:04Z","snapshot_observed_at":"2026-08-10T13:21:55.925688Z","submitted_at":"2025-02-07T16:46:43Z","title":"Discrepancies are Virtue: Weak-to-Strong Generalization through Lens of Intrinsic Dimension","version":6},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-23T03:24:07.851782Z"},"links":{"cited_paper":"/paper/2006.10732","citing_paper":"/paper/2502.05075"},"observation_digest":"sha256:9c3de109fc3ae169c0228e79b241c1a50d5fb4879c733ba1b0307d9146984c69","observation_id":"b9ae8472-585a-4ae5-9e3f-1c8800229a03","resolution":{"observed_at":"2026-05-23T03:25:20.635914Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.10732","last_updated":"2020-12-08T19:12:44Z","snapshot_observed_at":"2026-08-10T11:28:20.275496Z","submitted_at":"2020-06-18T17:57:26Z","title":"When Does Preconditioning Help or Hurt Generalization?","version":4},"cited_work":{"arxiv_id":"2006.10732","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2006.10732","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"When does preconditioning help or hurt generalization?arXiv preprint arXiv:2006.10732","venue":null,"work_id":"8e38d6e1-be7c-4cfc-ac0e-33a72bf69b5a","year":2006},"citing_paper":{"arxiv_id":"2601.03162","last_updated":"2026-05-07T04:15:05Z","snapshot_observed_at":"2026-07-06T22:40:51.136169Z","submitted_at":"2026-01-06T16:35:07Z","title":"On the Convergence Behavior of Preconditioned Gradient Descent Toward the Rich Learning Regime","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-16T17:21:48.237907Z"},"links":{"cited_paper":"/paper/2006.10732","citing_paper":"/paper/2601.03162"},"observation_digest":"sha256:b846498da7c0bceb2f32f65e059779d3c6678215f360a353defce51be16711de","observation_id":"b6be4698-ef15-44cf-9d54-b0cb90e858a0","resolution":{"observed_at":"2026-05-16T17:23:09.944008Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.10732","last_updated":"2020-12-08T19:12:44Z","snapshot_observed_at":"2026-08-10T11:28:20.275496Z","submitted_at":"2020-06-18T17:57:26Z","title":"When Does Preconditioning Help or Hurt Generalization?","version":4},"cited_work":{"arxiv_id":"2006.10732","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2006.10732","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"When does preconditioning help or hurt generalization?arXiv preprint arXiv:2006.10732","venue":null,"work_id":"8e38d6e1-be7c-4cfc-ac0e-33a72bf69b5a","year":2006},"citing_paper":{"arxiv_id":"2605.09471","last_updated":"2026-05-10T10:56:59Z","snapshot_observed_at":"2026-08-05T20:10:28.703944Z","submitted_at":"2026-05-10T10:56:59Z","title":"The Statistical Cost of Adaptation in Multi-Source Transfer Learning","version":1},"reference_index":160,"source":"arxiv_source","source_observed_at":"2026-05-12T04:19:05.837824Z"},"links":{"cited_paper":"/paper/2006.10732","citing_paper":"/paper/2605.09471"},"observation_digest":"sha256:bdad331e787711bbb0d9520e983bab4e530999843c336b2bad3ca29697609816","observation_id":"9488181f-26b2-4fdf-9b62-c01e552e31d6","resolution":{"observed_at":"2026-05-12T06:26:22.921227Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.10732","last_updated":"2020-12-08T19:12:44Z","snapshot_observed_at":"2026-08-10T11:28:20.275496Z","submitted_at":"2020-06-18T17:57:26Z","title":"When Does Preconditioning Help or Hurt Generalization?","version":4},"cited_work":{"arxiv_id":"2006.10732","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2006.10732","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"When does preconditioning help or hurt generalization?arXiv preprint arXiv:2006.10732","venue":null,"work_id":"8e38d6e1-be7c-4cfc-ac0e-33a72bf69b5a","year":2006},"citing_paper":{"arxiv_id":"2605.18591","last_updated":"2026-08-03T00:43:51Z","snapshot_observed_at":"2026-08-06T23:24:40.850221Z","submitted_at":"2026-05-18T16:05:36Z","title":"Randomized Advantage Transformation (RAT): Computing Natural Policy Gradients via Direct Backpropagation","version":1},"reference_index":106,"source":"arxiv_source","source_observed_at":"2026-05-20T12:44:29.147095Z"},"links":{"cited_paper":"/paper/2006.10732","citing_paper":"/paper/2605.18591"},"observation_digest":"sha256:817838209ec4d2033e820a531d58c3995a2cb4112ac8daaf2dd1c8bc027b58dd","observation_id":"b3a66c4a-947f-48d2-8255-ce697dfaf497","resolution":{"observed_at":"2026-05-20T12:48:17.536192Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2006.10732/citation-record","integrity":"/paper/2006.10732/integrity","json":"/paper/2006.10732/citation-record.json","paper":"/paper/2006.10732"},"outbound":[],"paper":{"arxiv_id":"2006.10732","last_updated":"2020-12-08T19:12:44Z","latest_version":4,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-10T11:28:20.275496Z","submitted_at":"2020-06-18T17:57:26Z","title":"When Does Preconditioning Help or Hurt Generalization?"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2006.10732."}