{"as_of":"2026-08-22T10:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b14dc06c70b7abaa56c89c80dc6e933051ebef4c87d9f764dc2f1eca00e190e0","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-08T20:22:19.846227Z","state":"measured"},{"denominator":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.05947/citation-record","integrity":"/paper/2607.05947/integrity","json":"/paper/2607.05947/citation-record.json","paper":"/paper/2607.05947"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-08T20:25:37.517805Z","title":"On an algorithm for the minimization of convex functions.Soviet Mathematics Doklady, 6:286–290, 1965","venue":null,"work_id":"539266f9-65bc-498d-835a-8c57e963bac5","year":1965},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:6f1eb08b9c74c7ca51768239f60e7417a48b1b6f3af45b0ffc47f06a4009a780","observation_id":"ea0d01bb-e3e3-4cb5-a02f-55bca1b6abe6","resolution":{"observed_at":"2026-07-08T20:25:37.519492Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.513943Z","title":"Oracle complexity of second-order methods for finite-sum problems.International Conference on Machine Learning, 2017","venue":null,"work_id":"ab10fc7f-ad7c-4c4f-a46f-2cd2bd85874f","year":2017},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:ca4dbcf849c4de9d1cf2e3d306e33f7bd7ca62a978bd87a6cb1fa9110e081540","observation_id":"a5bff768-c032-416c-87a0-ad47f30d9aaa","resolution":{"observed_at":"2026-07-08T20:25:37.515646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.507755Z","title":"Oracle complexity of second-order methods for smooth convex optimization.Mathematical Programming, 178(1):327–360","venue":null,"work_id":"be349fd5-14ba-482e-9e94-a2ad69289903","year":2019},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:039a8e7eee64f2228e6c6f516443aa77a81daef0920d5cd8fc2ee307e1ede026","observation_id":"9ec10040-6ca7-49e3-93b7-5f0dde537b89","resolution":{"observed_at":"2026-07-08T20:25:37.509881Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.510097Z","title":"Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales.Fundamenta mathematicae, 3(1):133–181, 1922","venue":null,"work_id":"3a821493-b036-40cc-9de3-c6a13b6a8791","year":1922},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:ddfdd112f5cc59fa2cfa7ea533dca1d970f84f28084208b495741938be57b8bf","observation_id":"d66ca4b7-b4d4-4706-8e7b-9251a3794650","resolution":{"observed_at":"2026-07-08T20:25:37.511770Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T06:36:02.636643Z","title":"Springer, 2017","venue":null,"work_id":"bd6c0de4-864f-4c62-bbb3-40af0ae16d9d","year":2017},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:2980675e4ef9866e6f2702ae5ea0fa4b53289cf7499a8a762501cfa43f608d08","observation_id":"e3644ba8-1b5e-46d8-bacd-ab9f007ee0c4","resolution":{"observed_at":"2026-07-08T20:25:37.517609Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.505263Z","title":"Convex until proven guilty","venue":null,"work_id":"d6de62a3-7828-4957-8cec-f87c6545c9ca","year":2017},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:ae71692217ffdeb9ac41db0b87d993420c633d5e662011ccc56a7830b1b43b48","observation_id":"f17f301f-999c-4ee4-9ff7-2f1503670b77","resolution":{"observed_at":"2026-07-08T20:25:37.506977Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.532250Z","title":"Accelerated methods for nonconvex optimization.SIAM Journal on Optimization, 28(2):1751–1772, 2018","venue":null,"work_id":"9a88b62c-f5f6-447e-a232-c4600f5c177e","year":2018},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:a399243a1ac6281e383336fe71228c37bce99877868495bb04da6cdc2d9df040","observation_id":"76031c38-b456-41bf-8071-70d09f33e211","resolution":{"observed_at":"2026-07-08T20:25:37.534118Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.501252Z","title":"Lower bounds for finding stationary points I.Mathematical Programming, 184(1):71–120, 2020","venue":null,"work_id":"1608448d-7c61-4606-8833-f062d3286f32","year":2020},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:f838d393986d940c1bfc69ed38b8c83ebcad86a20596567cb63af08aba8ddc6c","observation_id":"cab6f59a-481d-4e29-b8b6-502c3c25552a","resolution":{"observed_at":"2026-07-08T20:25:37.502853Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.526307Z","title":"Lower bounds for finding stationary points II: First-order methods.Mathematical Programming, 185(1):315–355, 2021","venue":null,"work_id":"ff97c7fe-590b-4606-89c2-82dee27134c0","year":2021},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:6b3ad9bdd3de320201efa3d573b14114a934f3f12af50f73240a68f42a881bbd","observation_id":"77eb1da4-28c9-4fcb-8693-dd4fc3b39b14","resolution":{"observed_at":"2026-07-08T20:25:37.528132Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.522285Z","title":"Adaptive cubic regularisation methods for unconstrained optimization","venue":null,"work_id":"6ff5807b-c345-4a5a-9326-3d5b32615b13","year":2011},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:5c957423f25eaaa0c671ce7922509e867383f4e2d35a41790d5efc9a7d47cfb5","observation_id":"eda8c39b-7d96-4ca8-8338-667cdf41e297","resolution":{"observed_at":"2026-07-08T20:25:37.523781Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.08593","last_updated":"2026-05-20T03:51:47Z","snapshot_observed_at":"2026-08-03T13:26:49.577886Z","submitted_at":"2026-05-09T01:17:24Z","title":"Optimal Acceleration for Proximal Minimization of the Sum of Convex and Strongly Convex Functions","version":2},"cited_work":{"arxiv_id":"2605.08593","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.08593","snapshot_observed_at":"2026-07-08T20:25:37.284733Z","title":"Optimal Acceleration for Proximal Minimization of the Sum of Convex and Strongly Convex Functions","venue":"math.OC","work_id":"e241a29e-ded8-49c9-b6be-f335895775ba","year":2026},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"cited_paper":"/paper/2605.08593","citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:5d101101eddaadb45af7e6d01e60b9a2f474a4b452db859bb493eb19ab2d504a","observation_id":"f4b46a79-af09-4f40-9d4f-9a3062998aa0","resolution":{"observed_at":"2026-07-08T20:25:37.286337Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.528376Z","title":"Optimal error bounds for non-expansive fixed-point iterations in normed spaces.Mathematical Programming, 199(1):343–374, 2023","venue":null,"work_id":"98b22d6d-db89-43f8-b63f-ffc18a353f4e","year":2023},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:a7ee7c8c2c86d5f3c498fce2bba9ea58bc99d12f51ece828a14c95fd2b0b1808","observation_id":"4ccd098a-5e21-4eec-b2b9-1c3b54b9b59d","resolution":{"observed_at":"2026-07-08T20:25:37.530099Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.538996Z","title":"Halpern iteration for near-optimal and parameter-free monotone inclusion and strong solutions to variational inequalities.Conference on Learning Theory","venue":null,"work_id":"d8dad90d-ad86-4775-bf48-22b4e8c2c217","year":2020},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:0d5aef77010ecc8aba08b8b0a15dcf96331a9dfd8f5a19c77bcc744a898b2feb","observation_id":"385934bc-5790-488d-aa61-428965d4cbea","resolution":{"observed_at":"2026-07-08T20:25:37.541031Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.524090Z","title":"The exact information-based complexity of smooth convex minimization.Journal of Complexity, 39:1–16, 2017","venue":null,"work_id":"a42dbc35-80b5-4e14-84be-097bf96880bd","year":2017},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:6db1cf6455e6bf65e8b0cc9f59dd95ff5cfaf671f9eac91e89c13dc2c1bab177","observation_id":"5a57ce98-ddec-4fd5-ab31-8812946138f2","resolution":{"observed_at":"2026-07-08T20:25:37.525789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.558825Z","title":"On the oracle complexity of smooth strongly convex minimization","venue":null,"work_id":"a34ea9a7-99c8-4fa4-9b3f-e05ea780f736","year":2022},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:b1868548dcf13418b8f0ae13fd07c6dc57bd448d4759b1cf9f852611563e0390","observation_id":"67eceb37-e4b6-4269-9ed3-02923d7b2fb9","resolution":{"observed_at":"2026-07-08T20:25:37.560455Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.554491Z","title":"Computer-assisted design of accelerated composite optimization methods: OptISTA.Mathematical Programming, pages 1–109, 2025","venue":null,"work_id":"15b9ad1e-7c8f-446b-b7b6-69e2422a757b","year":2025},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:8f1e8055f45e6583843c1d34c8a9e6eb366870fe5f0d1d6817600e36903b287e","observation_id":"73af25f9-bd7a-49d3-a3b5-15ad68e8a4f6","resolution":{"observed_at":"2026-07-08T20:25:37.556083Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.563685Z","title":"Accelerated gradient descent escapes saddle points faster than gradient descent.Conference on Learning Theory, 2018","venue":null,"work_id":"ef64f7f9-3099-4e40-8a16-7bf8438932f3","year":2018},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:3bd8960ff06ce2916ebca2cf45d5eb290a730a86d19190abdd797ff4e338f486","observation_id":"efc685dd-191e-4278-9ab1-4e667e824d6e","resolution":{"observed_at":"2026-07-08T20:25:37.565040Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.562869Z","title":"SIAM, 1995","venue":null,"work_id":"6582544f-6e94-422f-a56d-8099a61368fd","year":1995},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:ec344cb359950be3860e72c2eb07756c187505a0d8f5b13367e05017d61c009e","observation_id":"0a44bbab-b3ca-4310-9346-8aa2e35c1f31","resolution":{"observed_at":"2026-07-08T20:25:37.564069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.549659Z","title":"Accelerated proximal point method for maximally monotone operators","venue":null,"work_id":"46fdd45b-4bbb-4642-8c12-82b0d92e6083","year":2021},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:c5b45f281af55a0e8dc181c9b62376dd836e06d45ca00f19a562b0fb8c70896f","observation_id":"5484d2f6-e988-498b-a7ed-cf55d3ec5794","resolution":{"observed_at":"2026-07-08T20:25:37.551450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.551973Z","title":"The first optimal acceleration of high-order methods in smooth convex optimization.Neural Information Processing Systems, 2022","venue":null,"work_id":"e6b12ddf-55ee-474c-9474-f548e9b71fb3","year":2022},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:a4ec4f588e931ae34a4fd461bf115e01abb659c9cae27ea1d5a988a68e0cd4ae","observation_id":"faf78a50-2457-4f03-bda7-2af016843064","resolution":{"observed_at":"2026-07-08T20:25:37.553945Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.556664Z","title":null,"venue":null,"work_id":"a281f749-dd63-4ced-9957-84c02d0b7ae5","year":2023},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:3ec1b30e5af5e458beb0f0100487c0e13fe790228c9bc8e6348122d161ab05c0","observation_id":"f3be8311-f4fe-4a4b-8924-dd368c11173f","resolution":{"observed_at":"2026-07-08T20:25:37.558203Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.544194Z","title":"On the convergence rate of the halpern-iteration.Optimization letters, 15(2):405– 418, 2021","venue":null,"work_id":"306c2abd-e4f5-49d5-8b82-444cee085c16","year":2021},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:981e9264ff79df9c27106e6e85c242a78d729c4717b2f1dd05c7bf758c882256","observation_id":"69ae834a-5b17-4ae3-a1e2-bd9e0534b27b","resolution":{"observed_at":"2026-07-08T20:25:37.546038Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.535779Z","title":"Wiley-Interscience, 1983","venue":null,"work_id":"6d05d635-be51-4f1d-ac74-8ab57cb1c69d","year":1983},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:1de3773cca4291d32bb45272bb3ea0c807aa767f48cd7340d48241292d45b71f","observation_id":"c247fed3-5373-40e4-a4c6-7724fa37de9a","resolution":{"observed_at":"2026-07-08T20:25:37.538226Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.561040Z","title":"Springer","venue":null,"work_id":"21d5c11a-d5aa-4aca-aa07-54453bc86014","year":2018},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:b8e6e1edbd413d529d96b6a5562c78fd603c525435f4f44b66e1b29553145dbe","observation_id":"c603f93c-4f30-43c9-9a33-cbd37ead55ac","resolution":{"observed_at":"2026-07-08T20:25:37.562274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.503181Z","title":"Cubic regularization of Newton method and its global performance.Mathematical Programming, 108(1):177–205, 2006","venue":null,"work_id":"f9726930-130d-40b1-b695-d7f567090d0f","year":2006},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:34901b3e80565f43718c489ba82e7b06884e5c41ed64644a7b40df8bbee7faf3","observation_id":"e5b8619e-e9c0-46f7-bf96-2fdeabeea0a7","resolution":{"observed_at":"2026-07-08T20:25:37.504837Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.530326Z","title":"Location of the maximum on unimodal surfaces.Journal of the ACM (JACM), 12(3):395–398, 1965","venue":null,"work_id":"fcfe0820-edaf-4ad8-9917-3fb27b1fad1e","year":1965},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:1b49e089dc6cc76844789da26f0ff024dc252e7a3ef358bd0b4c880b1a1bb8b1","observation_id":"c438f64e-7456-4af3-866b-1a1c3fddf264","resolution":{"observed_at":"2026-07-08T20:25:37.531926Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.520289Z","title":"SIAM","venue":null,"work_id":"339a1d61-f2fd-494f-9e13-9b34da0dbf5f","year":2000},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:1e7bbf638a7f3e8f26885e7382b7116f62ab5d4e2e850aed44a6a07b82e9c41f","observation_id":"06217a58-3203-4ec9-8aa6-fa2fb1106cd4","resolution":{"observed_at":"2026-07-08T20:25:37.521809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.511980Z","title":"Exact optimal accelerated complexity for fixed-point iterations","venue":null,"work_id":"31348944-b0e1-414d-8d78-5e07f885cae3","year":2022},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:b80ab4f4d8041355f7cc642c7b6aea3fed1e003f7cb762277fce0d393c4c2eac","observation_id":"6506ba09-e27c-417a-a1e5-a6053c88d549","resolution":{"observed_at":"2026-07-08T20:25:37.513511Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-08T20:25:37.546706Z","title":"Memoire sur la theorie des equations aux derivees partielles et la methode des approximations successives.Journal de Mathématiques pures et appliquées, 6:145–210, 1890","venue":null,"work_id":"9d57d462-1c13-4b43-982b-341a4c057bb5","year":null},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:b8bf9272b3c68cb390d494e081eb93ae67bc1b0d6a0bf5fc3eeb7f3677e9d35f","observation_id":"2a32fa36-d5e4-4dc9-8ccb-f2fba37d4686","resolution":{"observed_at":"2026-07-08T20:25:37.548932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T06:36:02.585480Z","title":"A first order method for solving convex bilevel optimization problems.SIAM Journal on Optimization, 27(2):640–660, 2017","venue":null,"work_id":"ed44965a-1ff0-4968-bd76-e0e3684ae568","year":2017},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:4ca84f4c8a978ed675d11bd4ebfe5d085e324d6229a255b961d0d237c2c85338","observation_id":"b5242e65-cabd-445e-b43a-78a14f5176cd","resolution":{"observed_at":"2026-07-08T20:25:37.543571Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2606.05438","last_updated":"2026-06-03T21:01:21Z","snapshot_observed_at":"2026-08-16T20:18:23.959901Z","submitted_at":"2026-06-03T21:01:21Z","title":"Sharp First-Order Lower Bounds for Higher-Order Smooth Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":"2606.05438","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.05438","snapshot_observed_at":"2026-07-08T20:25:37.281974Z","title":"Sharp First-Order Lower Bounds for Higher-Order Smooth Nonconvex Optimization","venue":"cs.LG","work_id":"80168e92-9f06-4d88-993e-4a09a2204a91","year":2026},"citing_paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-08T20:22:19.846227Z"},"links":{"cited_paper":"/paper/2606.05438","citing_paper":"/paper/2607.05947"},"observation_digest":"sha256:c81169fdd2e411980d4156f4662c240bca1ab6632a0edf00eef3d7b4e9941a77","observation_id":"4ec1488f-8467-4a26-ac3e-d27fc76f1fcf","resolution":{"observed_at":"2026-07-08T20:25:37.283270Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.05947","last_updated":"2026-07-07T07:47:13Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-13T12:26:47.360445Z","submitted_at":"2026-07-07T07:47:13Z","title":"Higher-Order Derivatives Do Not Accelerate the Computation of Fixed Points"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":2,"verified_fuzzy":28},"total_outbound_references":31},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2607.05947."}