{"as_of":"2026-08-08T19:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:88d13ed364bbf6d468d4dcf6681d8f15011f963ff902054de00eab1f5581fa02","coverage":[{"denominator":56,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":56,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:10:28.581902Z","state":"measured"},{"denominator":57,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":57,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T12:17:36.029992Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"cited_work":{"arxiv_id":"2506.00521","doi":"10.48550/arxiv.2506.00521","metadata_source":"pith","pith_arxiv_id":"2506.00521","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","venue":"math.OC","work_id":"dd1d6d82-f3ee-4531-8e1e-f388ce9e6855","year":2025},"citing_paper":{"arxiv_id":"2607.19647","last_updated":"2026-07-22T01:06:15Z","snapshot_observed_at":"2026-08-08T18:22:30.753893Z","submitted_at":"2026-07-22T01:06:15Z","title":"On the Universality of Simple Trust-Region Algorithms","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-01T12:17:36.029992Z"},"links":{"cited_paper":"/paper/2506.00521","citing_paper":"/paper/2607.19647"},"observation_digest":"sha256:44fcffd332ad0f9b3caf8c338b377d1f6e45a024cdace350161a73a9770add65","observation_id":"9d3bb992-c8d3-453d-b4af-76c4dbaff872","resolution":{"observed_at":"2026-08-01T12:18:26.321764Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.00521/citation-record","integrity":"/paper/2506.00521/integrity","json":"/paper/2506.00521/citation-record.json","paper":"/paper/2506.00521"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:38.120683Z","title":"Attouch and J","venue":null,"work_id":"5fa4f809-85e5-4b98-a7ab-f4d7afdeff07","year":2009},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:23.581587Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:3fa57d2c01e6e0b741315ee03c45ed49b25d608d64f29384945c39c9dbf41574","observation_id":"265e8418-20d9-48a0-8875-74eb6b6ac99e","resolution":{"observed_at":"2026-08-07T12:10:38.244249Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:37.818063Z","title":"Becker and J","venue":null,"work_id":"37986637-bfd6-471d-a44f-7899b8f67129","year":2012},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:23.659729Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:12a136fed9cafa08995efe55b353ca60921e7a95c3307e6b23ee963269f68a55","observation_id":"1c2cf91d-0564-44c6-b4c4-121c3fc7b96d","resolution":{"observed_at":"2026-08-07T12:10:37.947168Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:37.645583Z","title":"Becker, J","venue":null,"work_id":"c04f5f47-0b56-4203-85d2-8082623c6560","year":2019},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:23.827151Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:e6b2244848d2587c4bb952e3b2bf3c0733aeed8a8c044db84f95cb27ecae304e","observation_id":"4264f411-c6af-4745-bf5a-f2452e4dbbe7","resolution":{"observed_at":"2026-08-07T12:10:37.714934Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:37.354086Z","title":null,"venue":null,"work_id":"f5bd3ebd-3601-45b6-8c9a-b8bb5f7e6de9","year":2018},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:23.988559Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:7653c6180384a130c2ea5b1c1133a628a1b50dd0e16e80b0d8ba543eb8c3827e","observation_id":"caf54ce3-91b9-413b-b0c7-40b23a826a2e","resolution":{"observed_at":"2026-08-07T12:10:37.472565Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:37.065814Z","title":"Bianconcini, G","venue":null,"work_id":"c47d7e5a-35ff-4781-b604-f1073e0bf895","year":2015},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:24.159047Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:1522db54b0cca975d8b68093201ffb1695fa57e99443873787cfb49db8b0b7df","observation_id":"8e4edcf3-c6f4-4f31-98b2-87cb565c33be","resolution":{"observed_at":"2026-08-07T12:10:37.198697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:36.859984Z","title":"Bolte, A","venue":null,"work_id":"fe13a19b-8d30-414c-81d4-9ad1c6970695","year":2006},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:24.317215Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:8120083840a3438875c3733c26c96c5e91d7bd5e8c3136abf99e0a1de82520fa","observation_id":"6fecb6a1-e18e-4f91-a610-e81f38fa3de8","resolution":{"observed_at":"2026-08-07T12:10:36.920669Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:24.465719Z","title":"Bolte, A","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:24.465719Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:16230c013eaff3285b9c4c11ccc2724ae9a47e894105c45d6dbc9a4e396288ed","observation_id":"3f438254-7347-4df8-b496-1be3482f6df2","resolution":{"observed_at":"2026-08-07T12:10:24.465719Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0802.0826","last_updated":"2008-02-06T15:35:28Z","snapshot_observed_at":"2026-07-06T01:34:49.709217Z","submitted_at":"2008-02-06T15:35:28Z","title":"Characterizations of Lojasiewicz inequalities and applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0802.0826","snapshot_observed_at":"2026-08-07T12:10:24.615079Z","title":"Bolte, A","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:24.615079Z"},"links":{"cited_paper":"/paper/0802.0826","citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:0b78174b567426010bce3d0e11c0c99096ea8426b2a84f74af3f3a9039c2a314","observation_id":"73f6d0a2-3d2e-4103-b744-327b137f5dcc","resolution":{"observed_at":"2026-08-07T12:10:24.615079Z","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":"2026-08-07T12:10:36.741727Z","title":"Bolte, T","venue":null,"work_id":"02e5a893-cd6d-48aa-9b69-178c8652208d","year":2017},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:24.755922Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:5ad51271bc7ceeeaa30f0a1c958b7e8a98b76a9e0a29dbe42d7c4a3d13d1fb53","observation_id":"5dc4da46-9c7e-4a75-be44-b088bd7f00b0","resolution":{"observed_at":"2026-08-07T12:10:36.776387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:36.558929Z","title":"Bolte, S","venue":null,"work_id":"cfd520b6-dc78-486e-ae3e-75540acdd330","year":2014},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:24.938022Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:5aef600bc8035c02d1277bb3c31ecdcc8cfe891f4cbce6feebcabb9fcd2bde2a","observation_id":"09be8447-79ac-40db-8dfd-90ab316c88a2","resolution":{"observed_at":"2026-08-07T12:10:36.680667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:36.419306Z","title":null,"venue":null,"work_id":"c9409869-e03e-4ed2-a821-818532855bff","year":1967},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:25.091680Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:e3f131625e21f1325fb51b1f0b0c164a3068a0b09b22bad1d1fa79658deb20dc","observation_id":"5512ea17-f27e-4e6e-9178-9383bf0aa34d","resolution":{"observed_at":"2026-08-07T12:10:36.489596Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:36.286878Z","title":null,"venue":null,"work_id":"fdb83c51-5323-4f89-a49e-2e8db966a5da","year":1970},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:25.242869Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:6c13aaeddd9e54d305803e9c8c700a25be4e82a32a78da5c0dc77fd596587bc6","observation_id":"244554a0-132a-490c-acbf-d1ed5e7b6f88","resolution":{"observed_at":"2026-08-07T12:10:36.351709Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:36.155807Z","title":null,"venue":null,"work_id":"a93e0804-5ea8-4b0e-90d4-00bb8de933a2","year":1973},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:25.297613Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:4e2e1b83e162c35c6c10d13a3f2fea842b0fdf32a58cdd3f2d5b9f5fdcadd864","observation_id":"b93db8c3-e233-4e45-a587-c0cd726416ce","resolution":{"observed_at":"2026-08-07T12:10:36.230925Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:36.044394Z","title":null,"venue":null,"work_id":"9efab58b-cf6d-441d-be5a-6da6dec62b69","year":1987},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:25.396551Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:3a54c97a541ade8db8013043efef8a6dfd781af91d77ea8e8e0c0f3607b19983","observation_id":"7d8be8a4-b41b-42a5-9006-c22a24359485","resolution":{"observed_at":"2026-08-07T12:10:36.095602Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:35.901674Z","title":"Cartis, N","venue":null,"work_id":"0b3cab40-f7f3-4d10-be8c-c3df9709aeee","year":2011},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:25.478120Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:14df8a1e9c0d93e646cdd467ebd944a258b61e2295f7789a8c8a17275d409880","observation_id":"27f8e455-ff15-42a6-94be-6cbcec5be8fc","resolution":{"observed_at":"2026-08-07T12:10:35.981340Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:35.760615Z","title":"part ii: worst- case function-and derivative-evaluation complexity , Mathematical programming, 130 (2011), pp","venue":null,"work_id":"915046da-a842-408e-83b6-e9f7d3801d53","year":2011},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:25.549121Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:7cef63931284b3807a241cafd5f1963634fceea7841e402ef63b7939814d95cf","observation_id":"50a7c9f2-f3d3-4c65-ade5-b045199fc687","resolution":{"observed_at":"2026-08-07T12:10:35.821479Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:35.612238Z","title":"Chen and M","venue":null,"work_id":"20a1d449-30fa-49d2-96e7-1a6199ff0498","year":1999},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:25.617093Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:24a30907fe819c2954539eec91a75889de7aff985efdf959793fbfee4acb1085","observation_id":"3a68095b-5e5b-4323-b4d2-c02bd1a64c12","resolution":{"observed_at":"2026-08-07T12:10:35.673662Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:35.407637Z","title":null,"venue":null,"work_id":"a8de2dac-30de-42b3-ae93-9e3f92335207","year":2001},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:25.700198Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:68cec0e468f12b068e3cb5977559152db2b84dea4bc2316ca746c39a23b709c2","observation_id":"aee54c84-4dfa-4be3-bb96-a9dd86d465ee","resolution":{"observed_at":"2026-08-07T12:10:35.514967Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:35.021221Z","title":null,"venue":null,"work_id":"0cae326a-087f-4e64-b289-5417d0f951f1","year":1991},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:25.789932Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:b780ea132a52e448f1210dbd4459f618305854926b8e3e0a898958d910bd2f42","observation_id":"c07e667d-239d-452d-8eb4-bc57d2f276d4","resolution":{"observed_at":"2026-08-07T12:10:35.239193Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:34.701730Z","title":null,"venue":null,"work_id":"025eb2eb-8898-4265-b8c5-42737ca51dfb","year":1996},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:25.853815Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:77620231053068b3e6f762458491fc38040e44fd475170c945e48ccd46d413d3","observation_id":"c747c87c-282a-4c44-ac9b-96edd53bb0d3","resolution":{"observed_at":"2026-08-07T12:10:34.813054Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:34.542701Z","title":null,"venue":null,"work_id":"9aaf1825-e87f-4bfc-8baa-95838cfdbbc3","year":1977},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:25.931744Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:7a927e3ef10f1b1d63cf3795f2219f9622c3b8c0fd1add8670cf71f9b31a1f18","observation_id":"abcdd976-06aa-42f7-b53b-67b5e02390a8","resolution":{"observed_at":"2026-08-07T12:10:34.612882Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:34.341694Z","title":"Dixon, Quasi Newton techniques generate identical points ii: the proofs of four new theo- rems, Mathematical Programming, 3 (1972), pp","venue":null,"work_id":"46d5cc41-d640-43f1-9637-36f76bc1fe3d","year":1972},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.009133Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:b04644154c388f1a32b6071f1cc791bf771d1c117f284cec8e1ad049eb5da785","observation_id":"bb408548-ddcc-4c4e-8399-bb8e2dbcf203","resolution":{"observed_at":"2026-08-07T12:10:34.431748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:34.174504Z","title":"Doikov and Y","venue":null,"work_id":"cfdddba1-0559-40e4-8013-3e880cdc4d22","year":2024},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.081685Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:7c66f11d8c9c60088ba6bcff2f8cfd3c1be2fd1efaa8b8e75edd7b4e604bb6f4","observation_id":"d8d66b33-996d-43a7-baf8-2c907527455c","resolution":{"observed_at":"2026-08-07T12:10:34.243076Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:34.021735Z","title":"Fletcher , A new approach to variable metric algorithms , The computer journal, 13 (1970), pp","venue":null,"work_id":"ee40e464-2114-4343-a9be-e6a0e4d776af","year":1970},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.175006Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:a2a218e3fb1a856b50ea0a06fc3be134a20e355041111914bd5810f02ad60520","observation_id":"6e96eb89-d652-42f4-b839-15f5821f0b14","resolution":{"observed_at":"2026-08-07T12:10:34.085313Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:33.884894Z","title":"Fletcher and M","venue":null,"work_id":"05903f3d-db93-4941-a016-02eddda883d6","year":1963},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.241729Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:7ffe83ac0c99864506dc7f222fc6a19dbcb274bf6bbaecb74177dd2e851538d6","observation_id":"7bf912c9-ccd9-476c-a5f9-bb0345e2bf67","resolution":{"observed_at":"2026-08-07T12:10:33.949726Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:33.742977Z","title":"Frankel, G","venue":null,"work_id":"e289782c-907d-4f74-9911-891b28ecefdd","year":2015},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.315306Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:497d8a8bfbb71bc4f13088bf925deb1003cbc65089784aceaf7b751545da610e","observation_id":"6761d958-c157-4346-8778-68e8421e839d","resolution":{"observed_at":"2026-08-07T12:10:33.817085Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:33.553222Z","title":"Goldfarb, A family of variable-metric methods derived by variational means , Mathemat- ics of computation, 24 (1970), pp","venue":null,"work_id":"3364471a-cd61-4507-b2e9-098ec7c3b318","year":1970},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.398476Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:de4c03cf885b84c64ce9a66bed8d815841f77a9d1ff2cfdbc9da78e7d0d9eb8d","observation_id":"b3a88108-c88f-4636-896e-4308d86d5ab2","resolution":{"observed_at":"2026-08-07T12:10:33.630704Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:33.397372Z","title":null,"venue":null,"work_id":"2386621e-404c-4ebc-b708-28721ced753d","year":2012},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.461809Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:acc5a67b186e34b1872467f4d0b78f0f761bdcc6671c51fd15741d0b299c1b92","observation_id":"9de19607-5269-410d-86aa-bfb5ea96feb0","resolution":{"observed_at":"2026-08-07T12:10:33.462948Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:33.257776Z","title":null,"venue":null,"work_id":"a222e202-debd-4b51-a3bf-0b3b59a01aa1","year":2022},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.550053Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:49b93a8fd95c391c9df1592a09567c407f2693efcf325e543c9276a541812d8f","observation_id":"cb7047f6-4428-406d-a281-211b873e4145","resolution":{"observed_at":"2026-08-07T12:10:33.332186Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.16731","last_updated":"2025-01-08T01:41:29Z","snapshot_observed_at":"2026-07-06T18:05:38.235450Z","submitted_at":"2024-04-25T16:41:57Z","title":"Non-asymptotic Global Convergence Analysis of BFGS with the Armijo-Wolfe Line Search","version":2},"cited_work":{"arxiv_id":"2404.16731","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.16731","snapshot_observed_at":"2026-08-07T12:10:28.934740Z","title":"Non-asymptotic Global Convergence Analysis of BFGS with the Armijo-Wolfe Line Search","venue":"math.OC","work_id":"f1b09060-4a85-4392-8c9d-50ad8c2a9dce","year":2024},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.629528Z"},"links":{"cited_paper":"/paper/2404.16731","citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:bcd4376d13a3d573d8ec727d67380539a6b8621dcc8d30bb4bd5c503d5c1ad4e","observation_id":"0217d85c-c939-43d5-948d-35994a071e76","resolution":{"observed_at":"2026-08-07T12:10:28.998797Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:33.095240Z","title":"Jin and A","venue":null,"work_id":"a469f5f8-3151-4ded-9461-df55dce6e8b1","year":2023},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.736293Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:cfec149a762c62da33012d9f88b00c50f7b32ef6beff1cbbddc176b37ce71a53","observation_id":"1204c06b-c41f-42b3-b718-3259ab38118c","resolution":{"observed_at":"2026-08-07T12:10:33.161351Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.04987","last_updated":"2023-05-29T01:06:27Z","snapshot_observed_at":"2026-08-08T00:09:27.950482Z","submitted_at":"2023-02-10T00:21:14Z","title":"Cubic Regularization is the Key! The First Accelerated Quasi-Newton Method with a Global Convergence Rate of $O(k^{-2})$ for Convex Functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.04987","snapshot_observed_at":"2026-08-07T12:10:26.828654Z","title":"Kamzolov, K","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.828654Z"},"links":{"cited_paper":"/paper/2302.04987","citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:99778dccea2f617cb4be0cfcf5f169999569f9c06a2a4f353a89aa8a95d05ee0","observation_id":"959d5d27-dd05-47ab-8871-e25daa52b09a","resolution":{"observed_at":"2026-08-07T12:10:26.828654Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.07644","last_updated":"2022-10-14T08:53:48Z","snapshot_observed_at":"2026-08-07T03:06:09.540422Z","submitted_at":"2022-10-14T08:53:48Z","title":"Efficient Regularized Proximal Quasi-Newton Methods for Large-Scale Nonconvex Composite Optimization Problems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.07644","snapshot_observed_at":"2026-08-07T12:10:26.903599Z","title":"Kanzow and T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.903599Z"},"links":{"cited_paper":"/paper/2210.07644","citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:61416433928f78794d4f0b6d0278c0fe3b67109014a3f2937ec1e3bdda44cd56","observation_id":"a618345a-b271-48b4-b7a9-ecab6082061a","resolution":{"observed_at":"2026-08-07T12:10:26.903599Z","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":"2026-08-07T12:10:32.892930Z","title":"Karimi, J","venue":null,"work_id":"f73546bc-b5cb-4c7c-83d7-5e14860b2d9e","year":2016},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:26.987720Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:b8e3cc9d16a9e2b1a6696f2cab72088ad71238e194d4ddcc6a00d51e7bef9198","observation_id":"809cbc53-cd22-4771-923a-43da5ec2e960","resolution":{"observed_at":"2026-08-07T12:10:32.995656Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:32.708706Z","title":"Karimi and S","venue":null,"work_id":"461587b2-9819-4e75-9456-aa5c8874b906","year":2017},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.058473Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:f5b02baedec7dd1677582c1ab9c98f2ed4a34a88e7cfed6ebafb5b92935fe67a","observation_id":"062ab1f8-0b20-419e-8b1e-f295590da84f","resolution":{"observed_at":"2026-08-07T12:10:32.798427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:32.532885Z","title":null,"venue":null,"work_id":"2e3c4244-9e44-4dff-853a-3efae1a6fdb2","year":2012},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.148312Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:d54fef7dbe232a98f81ab2f8e4b8e4b91c11f3bd1b5b0afc37c61ff16ecec252","observation_id":"ceb0e57a-1f75-4751-b6b8-2937aa37c5ac","resolution":{"observed_at":"2026-08-07T12:10:32.621118Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:32.393893Z","title":"LEVENBERG, A method for the solution of certain non-linear problems in least squares , Quarterly of Applied Mathematics, 2 (1944), pp","venue":null,"work_id":"e8007deb-b9d1-40fc-9ddc-c1c9d07c3753","year":1944},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.199150Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:c19b95127f964d595b66680d3580f99dd2adf392b974f611bbe1d54033f3395f","observation_id":"a2ba7818-5be5-4218-9e42-3e0fb2d7de57","resolution":{"observed_at":"2026-08-07T12:10:32.463131Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:32.193816Z","title":"Li and T","venue":null,"work_id":"306ff0b7-f8f2-4c09-824b-043a3f668e11","year":2018},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.273289Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:43d4dfc7b9b112d27a85febfa7db179ef9c58d27277a6c89cce35e5383521562","observation_id":"d4f65a8d-6d5b-4c6d-bbb9-d85b3d4a7e23","resolution":{"observed_at":"2026-08-07T12:10:32.266528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:32.001175Z","title":null,"venue":null,"work_id":"7cd2f63b-5682-4c8d-a2d3-7f7a6a480615","year":2012},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.331215Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:c16b0c97bfb5f48e64dbea5bb36c6099a263e314fc3840d26ad56462f17a35e6","observation_id":"20014474-3929-4e3f-b07e-ec079523012c","resolution":{"observed_at":"2026-08-07T12:10:32.098284Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:31.821217Z","title":null,"venue":null,"work_id":"a07ca401-2660-4d01-9bfa-bab5f003842f","year":1963},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.418318Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:c3c56101d7799c9c038a17e69fef7de4c16729a8dbaffaad7999529cf72b8e3a","observation_id":"ffbac182-0c85-48ba-b066-e3d64027412b","resolution":{"observed_at":"2026-08-07T12:10:31.897658Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:31.555843Z","title":"Mishchenko, Regularized Newton method with global convergence, SIAM Journal on Op- timization, 33 (2023), pp","venue":null,"work_id":"b69c1e57-5f44-4b3e-a0c3-cb69ad4cb94c","year":2023},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.472735Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:b86b194c9b3f180151b59298ebfd31c00190d30496e928bcf02193bab2a45b1c","observation_id":"824bf4bf-da79-4dc2-af83-8434bfaf0bfe","resolution":{"observed_at":"2026-08-07T12:10:31.684353Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:31.338775Z","title":"Nesterov and B","venue":null,"work_id":"99fe99da-9861-45c8-b79e-62b344cad5fc","year":2006},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.512355Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:4fef5f030b208d347e0013be85f63d9844814a52aae73a62b7be6644de7d6b7f","observation_id":"e14afa08-5af0-4259-8bb4-820a4c1e738f","resolution":{"observed_at":"2026-08-07T12:10:31.448293Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:31.081559Z","title":"Nocedal and S","venue":null,"work_id":"f85d548c-1313-417b-8b70-c316f1c803e5","year":2006},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.515311Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:671c6af21a285f4f7131b4cb65517d99df07191c49f66449858fe40cd52440da","observation_id":"04e1939f-011b-4470-93ca-c6d32dbea128","resolution":{"observed_at":"2026-08-07T12:10:31.203863Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:30.859230Z","title":null,"venue":null,"work_id":"8282a093-3b51-40e6-a745-019b898d207a","year":2014},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.538446Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:e2ce8f123ea304635ec28a687229e2f0b53108250142cc3bab8e1fc96a61e0e8","observation_id":"ebabb47f-4fa7-47ba-b9d9-316c3ae82e8b","resolution":{"observed_at":"2026-08-07T12:10:30.966494Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:30.672602Z","title":"Qian and S","venue":null,"work_id":"6708c21d-4bfc-48b7-90e4-94efa45aeb39","year":2022},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.615452Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:e1d4e73533446af3f3ef962d6c182d48d75257284780f3726615734ae75f9cb6","observation_id":"91c81a75-0755-4ea1-89f0-2565c7145b5a","resolution":{"observed_at":"2026-08-07T12:10:30.763421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:30.475276Z","title":"Rebjock and N","venue":null,"work_id":"abbe09d0-6c3c-4906-8e9f-6010a7c77d95","year":2024},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.710855Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:0d311ec3719e14ecc02c0ed135da05f463e524d2385b1393b65a484093b14ae9","observation_id":"b266dbad-46f4-47db-9d90-a2003904b7e1","resolution":{"observed_at":"2026-08-07T12:10:30.554463Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:30.279080Z","title":null,"venue":null,"work_id":"59f05bb4-bfd8-43e6-950e-1f03eb5dc0a9","year":2009},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.772161Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:78524f3347ae39ce02ebea115239968d2f0e0dbdedb20c2b85c875fccc6d32e1","observation_id":"b3715c1c-c548-4608-9917-324e615d153b","resolution":{"observed_at":"2026-08-07T12:10:30.373084Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.15051","last_updated":"2024-04-23T13:50:35Z","snapshot_observed_at":"2026-08-05T13:27:15.652250Z","submitted_at":"2024-04-23T13:50:35Z","title":"Global Complexity Analysis of BFGS","version":1},"cited_work":{"arxiv_id":"2404.15051","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.15051","snapshot_observed_at":"2026-08-07T12:10:28.697639Z","title":"Global Complexity Analysis of BFGS","venue":"math.OC","work_id":"3f199382-2234-47f9-8365-852bc130a0a9","year":2024},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.881129Z"},"links":{"cited_paper":"/paper/2404.15051","citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:3e0083ac3ce403744810c050084088d73788bc030a1909021b262e790e4cd46e","observation_id":"7d2efb88-f6f4-4b5d-80a4-5c4b8e7e4190","resolution":{"observed_at":"2026-08-07T12:10:28.758322Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:30.096983Z","title":"Rodomanov and Y","venue":null,"work_id":"2765adb3-0f45-4222-8edd-92ee19dba616","year":2021},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:27.945914Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:e68c2be3840e2f21dcfecbcb95579dfc3a77d0a11f9fb24a91db08d8aaeb445b","observation_id":"b2492ce8-9eec-468a-bab3-be47075a834f","resolution":{"observed_at":"2026-08-07T12:10:30.180957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:29.837524Z","title":null,"venue":null,"work_id":"3aedd825-e436-46d9-a8e6-7bb99df952ce","year":2022},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:28.057162Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:7e0ac2ef7585f0426112f5d319e2896d98ca16cfd964493a7a65b34a0ae0b8f5","observation_id":"a579f4ea-5fec-4af9-bcab-8d52523cfaef","resolution":{"observed_at":"2026-08-07T12:10:29.946317Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:29.669347Z","title":"Scheinberg and X","venue":null,"work_id":"05cd1715-b9ab-470f-a2a1-c42d876d9bec","year":2016},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:28.152435Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:7e4ee6eed88dbfa378fa6a8e5f24260d2eec867067869c5fa46fb6cf3b3f5e79","observation_id":"b01307f3-7ace-48a5-bce0-c2b910eb7592","resolution":{"observed_at":"2026-08-07T12:10:29.748880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:29.443112Z","title":"Stella, A","venue":null,"work_id":"839e5653-381b-43ce-8c6e-a444ca4bb21b","year":2017},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:28.231101Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:1b9fa3e43a578c56d98286959815ac8c57b6ac3dd074f885c6b51690e1eb7f67","observation_id":"00efdc52-3e5d-4703-882b-ea7411def14f","resolution":{"observed_at":"2026-08-07T12:10:29.551761Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:28.301801Z","title":"UCI Machine Learning Repository, 1981","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:28.301801Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:d73a96f7208fd58e6f3ad9a4fd398bdef07c4c3dd67800e78c880098ff73567b","observation_id":"8df606fc-8317-48e1-8496-7ffdb295dd5e","resolution":{"observed_at":"2026-08-07T12:10:28.301801Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.11676","last_updated":"2024-11-21T12:38:53Z","snapshot_observed_at":"2026-08-07T14:48:40.269327Z","submitted_at":"2024-10-15T15:12:52Z","title":"Global non-asymptotic super-linear convergence rates of regularized proximal quasi-Newton methods on non-smooth composite problems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.11676","snapshot_observed_at":"2026-08-07T12:10:28.395287Z","title":"W ang, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:28.395287Z"},"links":{"cited_paper":"/paper/2410.11676","citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:9fb566fe007a7778ea69b727cb7aa44a8d94fac0687a5eb36145349d0c595ce5","observation_id":"8751d210-a3cd-4106-9c3a-486ba943eea2","resolution":{"observed_at":"2026-08-07T12:10:28.395287Z","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":"2026-08-07T12:10:29.234628Z","title":null,"venue":null,"work_id":"be83e38c-d10b-4ac2-bf03-6d4d5d9026ef","year":2025},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:28.469122Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:2e664e8213d226f536e50bb07af765e52c7df56fd1b761edc105dc94559c91a9","observation_id":"ac53c2c7-a3ac-471d-9e14-8ab89112cba9","resolution":{"observed_at":"2026-08-07T12:10:29.314118Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:29.087097Z","title":null,"venue":null,"work_id":"2c04dbd9-d1ef-4f7c-8d6f-11bd73ccc843","year":2023},"citing_paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity","version":6},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:28.581902Z"},"links":{"citing_paper":"/paper/2506.00521"},"observation_digest":"sha256:f7a511ec74c784319136a2ca8781fb980edaea9bc18ee0ba70ea8fd12ffae0a8","observation_id":"f2617592-ade6-4a66-8513-4bd0517b194f","resolution":{"observed_at":"2026-08-07T12:10:29.151460Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.00521","last_updated":"2025-08-19T12:46:09Z","latest_version":6,"primary_category":"math.OC","snapshot_observed_at":"2026-08-08T02:10:56.650654Z","submitted_at":"2025-05-31T11:48:12Z","title":"Convergence rates of regularized quasi-Newton methods without strong convexity"},"reference_resolution":{"displayed":56,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":25,"verified_exact":2,"verified_fuzzy":29},"total_outbound_references":56},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2506.00521."}