{"as_of":"2026-08-20T18:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8eae2d87487e9b73d278cf09290153a5853f3deb9814cac417ed1413976af6a8","coverage":[{"denominator":43,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":43,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-01T01:46:04.938241Z","state":"measured"},{"denominator":43,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":43,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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/2606.30991/citation-record","integrity":"/paper/2606.30991/integrity","json":"/paper/2606.30991/citation-record.json","paper":"/paper/2606.30991"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T05:53:20.540950Z","title":"Journal of Optimization Theory and Applications 202:475–496 24 A","venue":null,"work_id":"5aa0a0d5-c719-4c12-a449-1912079468f4","year":2024},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:889642a71486ec922bad5f4edc8007d7fbc25db544a692b3c1880142e96eda19","observation_id":"9b055fff-b8db-491f-853a-bcb54edc24cf","resolution":{"observed_at":"2026-07-07T05:53:20.543364Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.584254Z","title":"Applied Mathemat- ical Modelling 43:170–190","venue":null,"work_id":"3a8323b1-dffb-44df-a8ef-8ee7d47d9eb5","year":2017},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:6f441c28af94b3fda4df04b65d78be7995b553cf62798b99c9b331575ea534a0","observation_id":"ab275bb0-c7d6-413b-acfc-0e6d9cab92f9","resolution":{"observed_at":"2026-07-07T05:53:20.587345Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.596349Z","title":"Mathematical Programming 208:365–407","venue":null,"work_id":"7425b109-4ac4-41f8-b449-8e1c68ab4e85","year":2024},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:329f501a4db976f4e9dbf007a69432daf6c12b2ccaaf0c35334a6986f618265e","observation_id":"3a4a98c5-b930-43ec-aae7-22e9238b8dfe","resolution":{"observed_at":"2026-07-07T05:53:20.599277Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.619301Z","title":"Optimization 61(4):387–404","venue":null,"work_id":"61ad97d1-2df1-4338-afa4-bfb69ba44381","year":2012},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:05d484a0bfb55464a11d55c9afa8133272f57770ea94761e5e4d36a448e14f02","observation_id":"03817956-6e18-4dae-b27e-e018723e5387","resolution":{"observed_at":"2026-07-07T05:53:20.621165Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.20484","last_updated":"2026-07-29T15:55:23Z","snapshot_observed_at":"2026-08-19T20:00:58.479019Z","submitted_at":"2025-05-26T19:41:52Z","title":"Asymptotic Convergence Analysis of High-Order Proximal-Point Methods Beyond Sublinear Rates","version":2},"cited_work":{"arxiv_id":"2505.20484","doi":"10.48550/arxiv.2505.20484","metadata_source":"arxiv_reference","pith_arxiv_id":"2505.20484","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Ahookhosh, A","venue":"ArXiv.org","work_id":"1348533b-ec44-4e67-be69-985bbf5c26bf","year":2025},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"cited_paper":"/paper/2505.20484","citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:88620751b04e4a907bcc88a6b7cb7819a61c87c08733d6e9cec06f08cac64e3e","observation_id":"83bf5abe-9bc5-4fc2-954d-b5ac199c748f","resolution":{"observed_at":"2026-07-30T01:18:54.772655Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.552869Z","title":"Numerical Algorithms 66(1):49–78","venue":null,"work_id":"fe2d8de4-d55f-4075-83a9-7e25302e005d","year":2014},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:0b4709168f1ddcbdca456544d8a44aeda836d5bd4e43331f5338ba3e396a1096","observation_id":"5451cc2f-fb79-4679-9ebb-6fbee44154c4","resolution":{"observed_at":"2026-07-07T05:53:20.554294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.633056Z","title":"SIAM Journal on Optimization 30(1):980–1006","venue":null,"work_id":"f1766215-0110-4410-b328-e37c314c7d8d","year":2020},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:b16075bbe6ac42a0566f805c133fe4d496b75ec3d224ead8eb7e40aeb5fa695e","observation_id":"5cb1946d-d4e7-4b17-b91a-576af46450dd","resolution":{"observed_at":"2026-07-07T05:53:20.634890Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.635738Z","title":"Mathematical Programming 169:95–118","venue":null,"work_id":"3cd96668-aeeb-469f-bce2-8f76fb9d835e","year":2018},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:c602dc229f59b9d5cc8ae16a3ece3ce20330cfb70834ba566879edaffae6b7e1","observation_id":"1f68117f-8911-47a4-8fe9-77fbe338388b","resolution":{"observed_at":"2026-07-07T05:53:20.637870Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.595755Z","title":"Set-Valued and Variational Analysis 30(4):1265–1289","venue":null,"work_id":"e2e6c641-129a-4155-8ec7-f9a2c30c08be","year":2022},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:b993ee6d0eee1a40307753d44e67985dbe30fb2ee0bcebaf25251dd8c3e397b6","observation_id":"157ef4bd-6423-4ce7-a8b4-2935a1aa4401","resolution":{"observed_at":"2026-07-07T05:53:20.597526Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.615656Z","title":"Optimization methods and software 33(1):194–219","venue":null,"work_id":"a5d3ed70-b259-4351-8b59-5f8d608880ec","year":2018},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:014bfbafa2642a857208848e658bc30e9c69f2d10b290d944242ab75847f15bc","observation_id":"6f5b94eb-add1-4bf6-8777-970d9c8d60c5","resolution":{"observed_at":"2026-07-07T05:53:20.618349Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.638643Z","title":"Optimization Methods and Software 37(1):338–360","venue":null,"work_id":"5f6392d4-14bb-4fae-b828-062076adba49","year":2022},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:58e62bc401752af76a417d6fdb979efecb2b4f8deb6c006c118779c1e5fe485f","observation_id":"4132c380-de14-4b1a-abe0-aa4dd743c307","resolution":{"observed_at":"2026-07-07T05:53:20.640879Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.600329Z","title":"Mathematical programming 178(1):301–326","venue":null,"work_id":"49c5a28a-752f-465b-93fb-e8e66ff38b81","year":2019},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:650305eb60fba7aed9a1b78bd3c63ac808f155fb0c8bb24237bbdabae8f3e682","observation_id":"b9bf0b84-dea6-4552-ac9b-759a8f680dbf","resolution":{"observed_at":"2026-07-07T05:53:20.602918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.565545Z","title":"Springer International Publishing","venue":null,"work_id":"efe1b2a6-6b57-4293-93fc-cc9ffdc6e8f9","year":2017},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:7e3bad9c106e9cd4cb18c263ff3b880ae6ea2a1b52bd13e906ff4983d8106f8a","observation_id":"ed24ba99-e68a-4a5a-b5b3-e4f7f70dd8f1","resolution":{"observed_at":"2026-07-07T05:53:20.567368Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.568351Z","title":"La Sapienza","venue":null,"work_id":"f7cadc98-9ccc-4cfa-94c2-a2134bce1060","year":1998},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:836b7f6cbca5570db114f353c99bb82db30af09fc783726e3aff398833c62c6a","observation_id":"86637518-9ec7-4163-a9ed-f2d4def53c20","resolution":{"observed_at":"2026-07-07T05:53:20.570142Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.592857Z","title":"Society for Industrial and Applied Mathematics","venue":null,"work_id":"1cd55186-0b1a-4c01-96d2-8342ecba473e","year":1990},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:1c6f01bd39aef2a8cef5a69ebb5880dcdc885172aedc39fd3166a5f088bb3165","observation_id":"9d2aedcf-dfde-4ce3-85ad-7d00e48ce1b4","resolution":{"observed_at":"2026-07-07T05:53:20.595461Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.576470Z","title":"Journal of Optimization Theory and Applications 208(2):71","venue":null,"work_id":"f11c9dcb-3d82-49ff-82c6-7da2bfb650fb","year":2026},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:56699c0e241c81ece033db2e789a3d8520416a165dae28875b0fa23fd3b1da97","observation_id":"c0b356ea-030e-46d9-a150-472992ba377e","resolution":{"observed_at":"2026-07-07T05:53:20.579416Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.587855Z","title":"SIAM journal on Numerical Analysis 23(4):707–716","venue":null,"work_id":"5af6569f-ac23-4fd8-8d20-21044b436219","year":1986},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:edd1ddb0c2214c6c2c34444db49be397fa1d1fe75674e2d0a25a39ca15510bed","observation_id":"b2db26a3-813c-40fe-82c8-e3be9b2e24b3","resolution":{"observed_at":"2026-07-07T05:53:20.589973Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.622709Z","title":"In: Ponstein J (ed) Convexity and Duality in Optimization, Lecture Notes in Economics and Mathematical Systems, vol 256, Springer, Berlin, pp 37–70","venue":null,"work_id":"2266701f-1b55-4081-a672-390c7086bce8","year":1985},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:dc558ad30f0f48eb75a1b0c3865ded721acc8c3f588c06e2429d30ccd270cebe","observation_id":"9004b706-6318-4872-bcfa-f8a176279800","resolution":{"observed_at":"2026-07-07T05:53:20.625559Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.555542Z","title":"Journal of mathematical analysis and applications 162(1):196–209","venue":null,"work_id":"d7a104f9-067d-4b1d-b6a9-3393bbbce7b3","year":1991},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:90e7836208b42ab5140e00d99e60ac8bbc60d34a9fc36be262704543df6e4a00","observation_id":"c4b9450d-95e5-4a99-85be-6198ccfc3106","resolution":{"observed_at":"2026-07-07T05:53:20.557222Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.544242Z","title":"Journal of Optimization Theory and Applications 103(1):1–43","venue":null,"work_id":"3fc79ba0-419b-41ee-b1ce-4ff314da19ee","year":1999},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:1c44e8551ede525f7052413ad13ed245a73f6adadda46949f570349d503d57fd","observation_id":"d996d7d9-03db-4d16-9f4e-88c8e11e6015","resolution":{"observed_at":"2026-07-07T05:53:20.546416Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.19928","last_updated":"2026-07-01T20:44:17Z","snapshot_observed_at":"2026-08-16T13:05:52.006198Z","submitted_at":"2024-10-25T18:54:35Z","title":"ItsOPT: An inexact two-level smoothing framework for nonconvex optimization via high-order Moreau envelope","version":5},"cited_work":{"arxiv_id":"2410.19928","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.19928","snapshot_observed_at":"2026-07-03T01:16:48.068285Z","title":"Kabgani and M","venue":null,"work_id":"86f1b2ea-19ff-48a1-8dab-f7b06d5f57d7","year":2024},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"cited_paper":"/paper/2410.19928","citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:51a6f78d4db2180e9fbb288b62da831ce1a3cd8fe297d60612fa91ff29085b3f","observation_id":"690cc631-ddf5-42d0-a74a-c1287ae38352","resolution":{"observed_at":"2026-07-03T01:16:48.068285Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.02155","last_updated":"2025-01-04T01:16:34Z","snapshot_observed_at":"2026-08-18T05:43:05.041670Z","submitted_at":"2025-01-04T01:16:34Z","title":"ItsDEAL: Inexact two-level smoothing descent algorithms for weakly convex optimization","version":1},"cited_work":{"arxiv_id":"2501.02155","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.02155","snapshot_observed_at":"2026-07-01T12:45:44.761993Z","title":"Kabgani and M","venue":null,"work_id":"b33a9a95-bd22-418e-ad35-6764e4c22e14","year":2025},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"cited_paper":"/paper/2501.02155","citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:06d71261c5e99161955af5f34cf40db8a193c2cdef57b06e1c06598fc0c433f8","observation_id":"edb7cbb4-766d-47bf-ab5b-a4e0fc4d57d9","resolution":{"observed_at":"2026-07-01T12:45:44.763535Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.582493Z","title":"Set-Valued and Variational Analysis 33, 47","venue":null,"work_id":"8f284400-36a9-4b9f-a963-cb5de5adea88","year":2025},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:7be9ceda219b393219dad3feefcf5f87a1a8a826513675e4a5a46050858f1d1c","observation_id":"91cdc7d4-1bbd-4e2b-80be-4dc1ab1286f0","resolution":{"observed_at":"2026-07-07T05:53:20.584493Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.553895Z","title":"Journal of Optimization Theory and Applications 210, 14","venue":null,"work_id":"88371787-d2bf-47bd-b32e-816c452d2967","year":2026},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:f088152760d0cccd9ddbbea716aeeaae84b6f4237c0bdb428cff224439e4a8e7","observation_id":"e92d0ea3-503b-4cbf-b938-320b57d83b64","resolution":{"observed_at":"2026-07-07T05:53:20.555976Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.550238Z","title":"Nonlinear Analysis: Theory, Methods & Applications 127:157–181","venue":null,"work_id":"4f859160-dab5-4b6f-b008-9090dbb17bb6","year":2015},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:6c036050dc385d42f845b2af55c541a5d796053dba2f915cccf06e6595ec2999","observation_id":"5076d79c-4efb-4a39-a388-47d3673cd87e","resolution":{"observed_at":"2026-07-07T05:53:20.551893Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10479-004-5022-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Annals of Operations Research133(1–4), 23–46 (2005)","venue":"Annals of Operations Research","work_id":"f48c8a73-e906-436f-92fb-e5881bcff3bf","year":2005},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:ccb595e15360ee14789109a8fa4176f6b8d93750a7e182eb375e571d7990fc19","observation_id":"92f7713a-3f6d-4b73-9fc6-d26de1fcaf19","resolution":{"observed_at":"2026-07-01T06:05:29.643176Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.588537Z","title":"European Journal of Operational Research 183(3):1067–1085 Difference-of-Convex Optimization via HOME-DC 25","venue":null,"work_id":"02676d5d-e334-4f75-ba63-92971cf712c4","year":2007},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:73e5e539a9a95683bee6cd30ed54b1d9774b118c7b2b4b5465575185423193b2","observation_id":"4b2b729f-2020-49c8-91a6-c66fe3b8a05f","resolution":{"observed_at":"2026-07-07T05:53:20.591880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10107-018-1235-y","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Mathematical Programming169(1), 5–68 (2018)","venue":"Mathematical Programming","work_id":"9ebd582c-8f49-4100-aacb-aafe19c162b5","year":2018},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:bea82b8552670ec428dc53461f14d29cf2ef07ecd6d9f8a196b23dbde168269a","observation_id":"51b79b1e-d041-4d5e-b908-8f730d5addc3","resolution":{"observed_at":"2026-07-01T06:05:29.650509Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-13T22:38:13.560084+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-13T22:38:13.560084+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.559309Z","title":"Advances in Data Analysis and Classification 2(3):259–278","venue":null,"work_id":"8fe13921-0dfb-415e-87eb-cdcf65f93744","year":2008},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:fdcf1da3fa0ffb9f17b0f4814a1e1f41fa51d055dd4ec926128f084502f6d109","observation_id":"e704d175-aa1e-4c01-b507-8810747302ed","resolution":{"observed_at":"2026-07-07T05:53:20.561303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.ejor.2015.01.032","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"European Journal of Operational Research 244(1):26–46, DOI 10.1016/j.ejor.2015.01.032","venue":"European Journal of Operational Research","work_id":"85ea9c0e-3aa8-480b-b89e-87ef03da259f","year":2015},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:207aff199b7d79a0f2bb8e01e9ca04310e6c2a2e3d7f2e2e361a7942b834921f","observation_id":"b7019dcf-5184-4391-ad4e-db198ff622b6","resolution":{"observed_at":"2026-07-01T06:05:29.653289Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.573458Z","title":"Bulletin de la Soci´ et´ e Math´ ematique de France 93:273–299","venue":null,"work_id":"7d0ff18e-5849-42bd-ab6c-599c368f750c","year":1965},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:687015929f984baf8ba5f271ecb88f54091026c88558666fbfd32449ffc61c75","observation_id":"02695120-5922-4f0a-955d-d4c19a3fa6dc","resolution":{"observed_at":"2026-07-07T05:53:20.575833Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.608441Z","title":"Springer Cham","venue":null,"work_id":"7189c8b4-9fcf-468c-8f08-f018f197febe","year":2018},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:4ef3c09b3ce749c16091a19297e9ba3fc249cec9f90db0b4fbea53702071b220","observation_id":"9bf334ae-3dfa-4e8c-a0dc-38f2dd39039a","resolution":{"observed_at":"2026-07-07T05:53:20.610883Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.556687Z","title":"Journal of Global Optimization 61(2):341–361","venue":null,"work_id":"175ed006-a1d7-4cf7-bbbb-80d5116c56f5","year":2015},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:d3ea9613d6b7f4eef822499ff75ddacbd92438d55c19af1a39f154d7e6e7008f","observation_id":"017a6c0b-10ec-44e8-9298-70fa73de9596","resolution":{"observed_at":"2026-07-07T05:53:20.558427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.532166Z","title":"the Journal of machine Learning research 12:2825–2830","venue":null,"work_id":"1778f16a-7c98-4df1-b912-df83d15396e6","year":2011},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:1d0f14200a4b65d0264e422509a1a21a5a319b5c76f80aa16e86ef4ff0f24d15","observation_id":"f5a34f7b-1341-4eaa-bec1-8804c5fbe604","resolution":{"observed_at":"2026-07-07T05:53:20.534031Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.525100Z","title":"Acta Mathematica Vietnamica 22(1):289–355","venue":null,"work_id":"14a8b70b-5302-47a3-a176-a2ca9b59d892","year":1997},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:438c2ac48aa1aa7cadcc4607c9b313dd4e2887b785dde8f529412cc1b97c1f81","observation_id":"527ac813-5eb8-4064-a3d2-01971b20bd28","resolution":{"observed_at":"2026-07-07T05:53:20.526743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.522645Z","title":"Journal of Optimization Theory and Applications 185:303–326","venue":null,"work_id":"86a1532e-2ee9-47ea-b04b-95932e03456a","year":2020},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:e424dbf65e8442659f7977929562555d2156bd3925f275dac49da0d92f334568","observation_id":"b3171db1-83b8-4fe7-b31b-cca6886bc804","resolution":{"observed_at":"2026-07-07T05:53:20.524257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.630329Z","title":"arXiv:250304486","venue":null,"work_id":"0f564782-6282-40de-9747-e555e6b6842f","year":2025},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:d5d329eb556bf15f352919389b1272ff514d1c83dbdfc87b72f4be698fb54ec2","observation_id":"d3824bed-27c1-437f-b2b7-048b8df019ad","resolution":{"observed_at":"2026-07-07T05:53:20.632051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.641688Z","title":"INFORMS Journal on Optimization 5(4):321–339","venue":null,"work_id":"b6776435-5da1-4edc-86f2-d246cb098e36","year":2023},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:cc08d074eab3ad18361e38c275c29b425747386303ef0bd0f95a82f7724c9dd6","observation_id":"9f1eb611-9eb8-45fa-afa3-82ced45ebef2","resolution":{"observed_at":"2026-07-07T05:53:20.643469Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.611711Z","title":"Journal of Optimization Theory and Applications 208(1):56","venue":null,"work_id":"6679b9b4-e550-44f8-ab91-333f051da53d","year":2026},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:089953d658827be3c09a7e0a5187dec9204fb3cdbdb529129c9ff833b19f541d","observation_id":"ab988ee5-93b3-4ca7-89df-9ea93577de30","resolution":{"observed_at":"2026-07-07T05:53:20.614610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.562166Z","title":"arXiv:240213461","venue":null,"work_id":"7b00a0b1-67b2-4ebf-996f-7d2f08a081f7","year":2024},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:e0cf0e1f009eca8cbeb52cd7ba92aae1c7aa418aaec03a40d934162b57029f13","observation_id":"e9ad5a1e-8d6a-463b-a10b-244dac3b7ef3","resolution":{"observed_at":"2026-07-07T05:53:20.564334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.626611Z","title":"59th IEEE Conference on Decision and Control (CDC) pp 4967–4702","venue":null,"work_id":"cec999e8-de50-4572-aeb0-8aa45aea84af","year":2020},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:26789f840b0a7b02838245d9395ea18d556a988517675a0b1b2485a97a799aa6","observation_id":"97100834-7d1e-4b9d-8276-dc0e6480e77e","resolution":{"observed_at":"2026-07-07T05:53:20.628986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.603792Z","title":"Journal of Mathematical Analysis and Applications 157:189–210","venue":null,"work_id":"0eacf792-ff9b-4480-bbf0-a0490bb0b6a7","year":1991},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:dfbee4e3cf43c003f50affba5bb890c6d623d74baf4d758997c415ddcc089c40","observation_id":"c2dc8f1e-0fba-4272-aa4c-9927419c6294","resolution":{"observed_at":"2026-07-07T05:53:20.606818Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-07T05:53:20.580421Z","title":"SIAM Journal on Optimization 14(4):1043–1056","venue":null,"work_id":"55fc12e2-a70b-47a0-875d-02e124bbc7ea","year":2004},"citing_paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-01T01:46:04.938241Z"},"links":{"citing_paper":"/paper/2606.30991"},"observation_digest":"sha256:865de40d8c90bb3b8bc8dc3bc0b11a4bf26354c7707353441e2f5f8c7af2cd3e","observation_id":"07311983-44ca-4c9d-a680-029eb49f7974","resolution":{"observed_at":"2026-07-07T05:53:20.583263Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2606.30991","last_updated":"2026-06-30T00:05:35Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-09T17:12:03.642889Z","submitted_at":"2026-06-30T00:05:35Z","title":"Difference-of-Convex Optimization via Inexact Smoothing Descent Methods: Difference of High-Order Moreau Envelopes"},"reference_resolution":{"displayed":43,"state_counts":{"malformed_identifier":0,"metadata_mismatch":3,"parse_uncertain":0,"unresolved":0,"verified_exact":3,"verified_fuzzy":37},"total_outbound_references":43},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2606.30991."}