{"as_of":"2026-08-14T01:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4ab7cc02af6357d4d020256a1a545b50120565d67a6ff2c8c9ab3cef2a83cb53","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T14:50:30.568953Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2508.20872/citation-record","integrity":"/paper/2508.20872/integrity","json":"/paper/2508.20872/citation-record.json","paper":"/paper/2508.20872"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10107-013-0640-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Vi- constrained hemivariational inequalities: distributed algorithms and power control in ad-hoc networks,","venue":"Mathematical Programming","work_id":"7a6dedac-9693-4b92-8db9-3e567ee4c1bf","year":2014},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.449919Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:3dd4cd81fc28b27c6e291b20cc83d6a7e0a2a370e3124c38444d17b4d21452ea","observation_id":"9554a0ec-33b9-4c5c-a406-b130fa214217","resolution":{"observed_at":"2026-08-05T14:50:30.768991Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:31.111375Z","title":"On the optimal selection of generalized nash equilibria in linearly coupled aggregative games,","venue":null,"work_id":"d33e8b71-dfb7-46f0-9a24-40f3e08a05af","year":2022},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.454934Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:69ccffcad1a25bca558e624166e88edcd35c3dba36e37804b801f77eaa1dae91","observation_id":"af5da561-c3bd-476d-bf6b-564800eff672","resolution":{"observed_at":"2026-08-05T14:50:31.116483Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:31.095028Z","title":"A semi-decentralized tikhonov-based algorithm for optimal generalized nash equilibrium selection,","venue":null,"work_id":"969acb4c-3881-436f-a13c-b219a3aaa199","year":2023},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.459532Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:28dcdbb15e3ae38dc1fc19f3ea05c9df24989b99b22ddd7587cf6f3d76e64fc3","observation_id":"acbbd1d7-cc1c-45a1-ba24-34ea4ad86fcb","resolution":{"observed_at":"2026-08-05T14:50:31.100178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:31.078450Z","title":"A method with convergence rates for optimization problems with variational inequality constraints,","venue":null,"work_id":"25a2efa4-7466-4f00-9bbb-85f3ca09a0a9","year":2021},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.464435Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:efa6375bc4b34f4a4b88d4cb4eef7e25ff6ec4d30e14ca548027f73baff5c63d","observation_id":"832dffea-5945-4708-b233-1b940f6ab83d","resolution":{"observed_at":"2026-08-05T14:50:31.083636Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:31.060040Z","title":"Minimizing the moreau envelope of nonsmooth convex functions over the fixed point set of certain quasi-nonexpansive mappings,","venue":null,"work_id":"4b6838a5-f5dd-4b69-b10a-3ff093665a58","year":2011},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.469361Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:fcd91d39bb613fe430736a1bad7aff129fcf1677db303e3a9bef3368ae28c923","observation_id":"b17f22d2-bf30-4cd0-bc5f-71ad081d3c85","resolution":{"observed_at":"2026-08-05T14:50:31.065701Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:31.044323Z","title":"An explicit descent method for bilevel convex optimiza- tion,","venue":null,"work_id":"4db3fc7f-6c9a-418d-b354-2f6c2401ac98","year":2007},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.474615Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:7c4cedc064ca2d90e9dd30222bc311e777fceec998dbeb5fb89f9b70e7632272","observation_id":"da0b39f2-7929-4d9f-a385-9396c4ebc453","resolution":{"observed_at":"2026-08-05T14:50:31.049298Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:31.028577Z","title":"Bilevel distributed optimization in directed networks,","venue":null,"work_id":"9932a448-9ea6-4cfe-b772-56a17c06f87c","year":2021},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.480203Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:3c19bb1a492fc1feabc4bb97e1661bc1919cead6a5aa4e0857f006e0361ba1a3","observation_id":"0049872d-2996-4a4c-a97c-b6c360822103","resolution":{"observed_at":"2026-08-05T14:50:31.033422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:31.011801Z","title":"Distributed power allocation with rate constraints in gaussian parallel interference channels,","venue":null,"work_id":"8131f012-6e15-4fa3-acac-2d9854840d0d","year":2008},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.484613Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:634648741dce59e5c1e14a4d4b8240b74799edc603b9f6b80b633c5e8f7a0cb4","observation_id":"eead20a9-eef6-4fe9-9a17-2dd2539dca78","resolution":{"observed_at":"2026-08-05T14:50:31.017227Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:30.994133Z","title":"Optimality conditions for a simple convex bilevel programming problem,","venue":null,"work_id":"6ab38b7c-bf8c-4b64-a4a4-8a082fa27b9d","year":2010},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.489258Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:9c513c735b02b3c70af677578d66e74310b7725902604039309e7f46527dc454","observation_id":"3d777f33-f383-4c7e-bc69-1fd5b798592e","resolution":{"observed_at":"2026-08-05T14:50:30.999764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:30.493709Z","title":"Simple bilevel programming and extensions,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.493709Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:7b88d0f3af28fb9409147b64a3889722b38ee7eb5bc76f520a9416bc69f276e2","observation_id":"f95bf962-b3b4-4d72-87e1-b217ab382989","resolution":{"observed_at":"2026-08-05T14:50:30.493709Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T14:50:30.498342Z","title":"A first order method for solving convex bilevel optimization problems,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.498342Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:9e386f270fc57bcb71c09f80b20057c1be4472ccc86c0e378d24f59554e91c73","observation_id":"63fa692d-46fc-4781-a49d-01cf8e84f1d9","resolution":{"observed_at":"2026-08-05T14:50:30.498342Z","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":"10.1007/bf01586942","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Penalization in non-classical convex programming via variational convergence,","venue":"Mathematical Programming","work_id":"2e967cd4-86ad-408f-a229-0e1c73e32b27","year":1991},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.502989Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:aee219cecf37bb67309a898ee326505c0e95ba3f82efee4a548e76ca022c5fcb","observation_id":"ace99df1-0126-4e7a-8995-1ee3131a8606","resolution":{"observed_at":"2026-08-05T14:50:30.726769Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01027092","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Convergence of diagonally stationary sequences in convex optimization,","venue":"Set-Valued Analysis","work_id":"c31f7a1d-3205-49ac-ab62-9e003000fcbd","year":1994},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.508086Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:fccdf59218d80c600b450bd4b520f44b9dc38c9bcb36c879cf960f3299edafb4","observation_id":"ab905661-fd06-4761-85dd-54ac44b2d8ac","resolution":{"observed_at":"2026-08-05T14:50:30.707638Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1023/a:1022621905645","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Coupling the proximal point algorithm with approximation methods,","venue":"Journal of Optimization Theory and Applications","work_id":"cf482ec5-ed84-4fbf-bd17-0f684d703391","year":1997},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.512640Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:703bd5b18aa5457deeefc8a2ade8cf4b99ef8c0b18e0d387292915d8dc1c98ad","observation_id":"ecc78050-ecf5-4d3a-9a1d-2d0bfd7072ab","resolution":{"observed_at":"2026-08-05T14:50:30.688852Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:30.517180Z","title":"An inertial forward-backward algorithm for monotone inclusions,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.517180Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:a3f80d4ba76051ccff80bed4540df766773e94f4dd0cf81941fb763e046b363d","observation_id":"519ff0c3-64ed-4ad2-b21d-f716096d57de","resolution":{"observed_at":"2026-08-05T14:50:30.517180Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.16870","last_updated":"2025-06-23T13:21:39Z","snapshot_observed_at":"2026-08-14T00:19:24.204753Z","submitted_at":"2024-01-30T10:22:06Z","title":"Krasnoselskii-Mann Iterations: Inertia, Perturbations and Approximation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.16870","snapshot_observed_at":"2026-08-05T14:50:30.521600Z","title":"Krasnoselskii-mann iterations: Inertia, perturbations and approximation,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.521600Z"},"links":{"cited_paper":"/paper/2401.16870","citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:e6b26901885b35cb9e8be8bccfe0a254f6e9ebc060aa1dbc8ed1070be9cbea7d","observation_id":"80678a67-81e3-41de-a8b9-39e30a424cb9","resolution":{"observed_at":"2026-08-05T14:50:30.521600Z","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":"2026-08-05T14:50:30.973158Z","title":"Accelerated and inexact forward-backward algorithms,","venue":null,"work_id":"f0dc5979-1e86-432d-a728-0b3186ca8094","year":2013},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.526190Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:beb2519892c13f757928a5b479bafcbf6c9a2169bbd2d4848a3c559e0668983e","observation_id":"400c29a3-5f07-44e1-8aed-3dd8139f2e9d","resolution":{"observed_at":"2026-08-05T14:50:30.979965Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10107-018-1350-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Convergence rate of inertial forward–backward algorithm beyond nesterov’s rule,","venue":"Mathematical Programming","work_id":"ba3ae7fe-87ac-48d1-b4e6-96cd507e1fcb","year":2020},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.530427Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:947d66378ae48d24fda7f5f8f8387c31fbecdeef760d777b8bf50746d39fbe16","observation_id":"fef2283b-1bb7-4e58-9cbf-f314624d244e","resolution":{"observed_at":"2026-08-05T14:50:30.660033Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:30.955529Z","title":"Towards viscosity approximations of hierarchical fixed-point problems,","venue":null,"work_id":"5e0591c1-7aa9-46c7-a023-e8986c17f09d","year":2006},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.535041Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:e3284f0ba34637f7f5418717b924adb0ede202ff8e6087c87643c9b063a4eb21","observation_id":"862852dd-b9a1-45a2-a771-30c1f78f4bf9","resolution":{"observed_at":"2026-08-05T14:50:30.961089Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:30.938868Z","title":"Strong convergence of an iterative method for hierarchical fixed-point problems,","venue":null,"work_id":"59607803-f151-438f-aa18-7eb495d3191a","year":2007},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.540450Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:436ceb28ace12ca5a101f071e945ee4926dadd6d51d3ce4872d68118ae57dc25","observation_id":"b6094d1d-361e-4a7f-8a84-3b67189ead33","resolution":{"observed_at":"2026-08-05T14:50:30.944116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10957-010-9775-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Explicit hierarchical fixed point approach to variational inequalities,","venue":"Journal of Optimization Theory and Applications","work_id":"97a30c1a-7e9e-4c69-9a01-f489a02e4029","year":2011},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.545284Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:d951b280283eb775209658a5c71bcdf2b41aefcbf773b39dc0c7e3b59ca962c1","observation_id":"9d4fa798-bf77-4822-9ee1-30b33f5f9412","resolution":{"observed_at":"2026-08-05T14:50:30.642632Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:30.921969Z","title":null,"venue":null,"work_id":"cfeb58c2-47ca-4c39-8d61-81aaa3dedd30","year":2016},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.549997Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:e09ef13a948af9006b0727a3271106e0ecc604d638960b36109eaa7ff669238a","observation_id":"659e2028-692c-4d30-b773-ac3b63f6077d","resolution":{"observed_at":"2026-08-05T14:50:30.927054Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1023/a:1011253113155","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping,","venue":"Set-Valued Analysis","work_id":"61fa4280-d9cc-47a7-a71c-1c10e7b76b66","year":2001},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.554481Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:cfb7fe63a808bc6813baa5f427dfd9ce510efaf5faf168f8e68829c7f55c259c","observation_id":"a91b7464-11e6-4e2f-a51a-ec8bf3d4a27a","resolution":{"observed_at":"2026-08-05T14:50:30.625424Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:30.559186Z","title":"An algorithm for total variation minimization and applications,","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.559186Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:52bbaacce55476dd73e3a62de665937c56a8acee70a5d0fe2dc16af95a0a3851","observation_id":"1080b482-f744-4313-a045-5f67128f7ca8","resolution":{"observed_at":"2026-08-05T14:50:30.559186Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1214/07-aos584","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"The composite absolute penalties family for grouped and hierarchical variable selection,","venue":"The Annals of Statistics","work_id":"3b506b32-9fba-4730-86d6-e104ae23ab32","year":2009},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.563707Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:9bf453086c21d4028667e5b590c589f6d9b921886c6b6e424d9d803eabe38209","observation_id":"1c7bab61-9a18-42bb-916d-4c8b8cac4e62","resolution":{"observed_at":"2026-08-05T14:50:30.607468Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T14:50:30.905445Z","title":"Improved guarantees for optimal nash equilibrium seeking and bilevel variational inequalities,","venue":null,"work_id":"0d93c32b-18de-4e6d-90aa-3fa18dd85751","year":2025},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.568953Z"},"links":{"citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:99ae71dfb6c6ac4d242a10e2a8dcb5727516482bdef2d64b04c301dfd36c5ef1","observation_id":"efc1fcc1-a1a4-44f5-af11-aba08ba22079","resolution":{"observed_at":"2026-08-05T14:50:30.910611Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":8,"verified_fuzzy":12},"total_outbound_references":26},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2508.20872."}