{"as_of":"2026-08-16T15:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5ce3222f88182e6d2240d729e42af2710657808b46343593b00b73bfb1a874c2","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-24T16:56:05.369885Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1907.10171/citation-record","integrity":"/paper/1907.10171/integrity","json":"/paper/1907.10171/citation-record.json","paper":"/paper/1907.10171"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"EXTRA: An exact first-or der algorithm for decentralized consensus optimization","venue":null,"work_id":"d64264c2-7c65-420b-9e17-4cea54e7781f","year":2015},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:fc6c4f4b55bc53730ae9dae66ebde4b0dfecd7d2866e9b661380fee287fd7969","observation_id":"3c6e0428-a4e5-4f62-9a22-3b75dd052abf","resolution":{"observed_at":"2026-05-24T16:56:16.584795Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"DEXTRA: A fast algorithm for optimiz ation over directed graphs","venue":null,"work_id":"c6d8c848-d35e-4492-be69-eab82c7fe320","year":2017},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:78ac76cc30d60a4ba609f327391c22fc5f0399d91a6a51b8cccbaa384cf92edc","observation_id":"edfff6cd-42be-4d37-a7b6-9b83cb11c3d8","resolution":{"observed_at":"2026-05-24T16:56:16.536912Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Distributed gradient algorit hm for con- strained optimization with application to load sharing in p ower systems","venue":null,"work_id":"86feb0f0-70e4-4207-8082-94b9ad097488","year":2015},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:33713472c8e364855d056edc65cee7986bce8155ad70fdf66712a202091324f9","observation_id":"c943baf3-5afb-4eab-bec6-47e99f2688fe","resolution":{"observed_at":"2026-05-24T16:56:16.561724Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Connecting automatic genera tion control and economic dispatch from an optimization view","venue":null,"work_id":"fe77324b-1171-422e-b6cb-a6cd77296586","year":2015},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:09547dd69162a404bb1c146a33f8e942cdb83d0998822931be9225fa2287a158","observation_id":"5b84b7ca-af35-4588-a455-6ceff0c8fbdf","resolution":{"observed_at":"2026-05-24T16:56:16.595764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Incremental majorization-minimization op timization with application to large-scale machine learning","venue":null,"work_id":"237d609c-a672-4b51-baa4-4f2321bf7a16","year":2015},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:1f274db35ebf677f35a26ace1637d56a4984862b9cc30d45e9753e3d46677831","observation_id":"d228f5dc-83ce-4854-8663-4b8468e24d7e","resolution":{"observed_at":"2026-05-24T16:56:16.540106Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Distributed convergenc e to Nash equi- libria in two-network zero-sum games","venue":null,"work_id":"49974b5a-a98f-426a-b651-3f9b49566540","year":2013},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:a0c428cc5223219e585614a2446bbaee12d72b22266027510375cb3090a1dbd5","observation_id":"d65c4334-60b1-4c3b-be0d-d9acf80fcb2e","resolution":{"observed_at":"2026-05-24T16:56:16.558114Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Distributed subgradient meth ods for multi- agent optimization","venue":null,"work_id":"c3795d51-f6b3-4fe2-b602-4d7907ce91e0","year":2009},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:f510c3f7d6f66d83054c27f2d5e46257dc6908e04d64a55f17265797616742e9","observation_id":"24fd1937-647b-4da8-92af-9787da23312d","resolution":{"observed_at":"2026-05-24T16:56:16.600272Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"An accelerated dual gradie nt-projection algorithm for embedded linear model predictive control","venue":null,"work_id":"c902baba-576b-48c9-bd09-37d88e558b49","year":2013},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:ba30b969ec0c01ac1dfdf3e1d7930a1a239eb4c59132e67e504582dddf983faf","observation_id":"9478eb6b-1c5e-4021-9c58-7c8bc69b1569","resolution":{"observed_at":"2026-05-24T16:56:16.553733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Fenchel dual gradient methods for distri buted convex optimization over time-varying networks","venue":null,"work_id":"cb0855e1-c072-4754-a417-0b303aaff720","year":2019},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:0eed9b05afe71aa36ef4f576e488462b9ddc9bba96b56939ea9812835e84f18d","observation_id":"e9adeb7e-c345-4111-be2a-2094676b0ae3","resolution":{"observed_at":"2026-05-24T16:56:16.522448Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"On the linear convergence of the ADMM in decentralized consensus optimiz ation","venue":null,"work_id":"605dddec-e855-4249-97d1-13d13ee18863","year":2014},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:3d3549ea5c1d41853b317669f650dd3b67439a7b90763b1afcbc25d85049bed2","observation_id":"805c5c57-ffa4-446f-8da6-7a48a5f3f828","resolution":{"observed_at":"2026-05-24T16:56:16.578571Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Analys is of distributed ADMM algorithm for consensus optimization in presence of no de error","venue":null,"work_id":"53abe046-c84b-498d-8701-570f31738a58","year":2019},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:615ce5adebd99010c957324680b334897bba3f031294b18cf017753d3835ae81","observation_id":"0c5a00c3-8021-40c3-8b95-553a55c1f817","resolution":{"observed_at":"2026-05-24T16:56:16.564927Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Asynchronous m ultiagent primal-dual optimization","venue":null,"work_id":"2fce5a45-7326-485f-89a0-2339a80096e3","year":2017},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:cae53647169872fed9d05d73f4b03cc6cc541b7f384ae1b21c746f43e9f42e72","observation_id":"a64c96c2-d944-425e-b590-5795990fe4eb","resolution":{"observed_at":"2026-05-24T16:56:16.598763Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Online primal-dual methods with measurement feedback for time-varying convex optimiza- tion","venue":null,"work_id":"0c3c092e-72d1-436d-b208-b6f9fccfbbf4","year":2019},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:6c82dd99c62180d71688e182a3430d4d0fa1a218c511f55303813c0d5b065eb9","observation_id":"af90f6f2-59cf-4510-96ab-d8e6eb766deb","resolution":{"observed_at":"2026-05-24T16:56:16.584235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Asymptotic c onvergence of constrained primal–dual dynamics","venue":null,"work_id":"97910ff5-102d-43ba-a47a-6f7257ed6772","year":2016},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:edc9dc5136fb8dca59d3f4230fbe574116b06f961e201ca5f24a3cef22e18833","observation_id":"ce01f3f4-f54c-4d26-b8c8-e54f13d59234","resolution":{"observed_at":"2026-05-24T16:56:16.547253Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Saddle-p oint dynamics: Conditions for asymptotic stability of saddle points","venue":null,"work_id":"fd414ee4-03b9-4eb0-aa8d-d45187007412","year":2017},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:4580010906dc5da765623d58435893d6126966cb22d076886f26099a3a54023b","observation_id":"1b39015e-ca36-4215-88e8-bb226078e9aa","resolution":{"observed_at":"2026-05-24T16:56:16.592015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Stability and robustness for saddle-point dynamics through monotone mappings","venue":null,"work_id":"92c5ddb1-c4df-475c-8d9c-14f635db4e69","year":2017},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:6e787816c98aaff5afaa0336e37f1394e74c48defc5631a99aa30349658db8d1","observation_id":"4b6a7103-bb7d-4287-8fdd-42ab8459d897","resolution":{"observed_at":"2026-05-24T16:56:16.571844Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"C ontraction and robustness of continuous time primal-dual dynamics","venue":null,"work_id":"1b295bdf-4fe8-4576-8900-724788b40d9d","year":2018},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:81afb7412228c430997ca022dacb37ab265bf9fe7effb332148315a2378016bd","observation_id":"39f85c50-3a2c-4c43-91b7-759186ed70fb","resolution":{"observed_at":"2026-05-24T16:56:16.525777Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"On the exponential stability of primal- dual gradient dynamics","venue":null,"work_id":"af89d2aa-3414-40ba-8074-4d227c7da04f","year":2018},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:b443b8cdd952568b4afbc7d864ec0142b78f3707254c120c690ad4eeeb76969f","observation_id":"8ddfaf8b-fe5b-49a9-99ed-98f25d897df0","resolution":{"observed_at":"2026-05-24T16:56:16.562835Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Exponential convergen ce of distributed primal–dual convex optimization algorithm wi thout strong convexity","venue":null,"work_id":"b1f95429-da39-4467-a83d-3cdeb29c2e00","year":2019},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:b8091515b5146a803e5b35928348d5c3e78924e4ad85951d7b10906c3a310e37","observation_id":"03528d68-ce9e-49e6-8f77-b6846f609a8e","resolution":{"observed_at":"2026-05-24T16:56:16.559938Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"On contraction analy sis for non-linear systems","venue":null,"work_id":"ea0c5e3c-f793-4c9d-89da-3f69013463d4","year":1998},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:d6e241ee4086ba560a073517a3dc840fb8d0433d6c98677cadd5391b120238a0","observation_id":"68e90b53-dac8-410f-bf74-40af401b8bc6","resolution":{"observed_at":"2026-05-24T16:56:16.569667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Distribute d nonlinear model predictive control based on contraction theory","venue":null,"work_id":"49b8f8f5-f17a-423d-b184-4f3249c6fdef","year":2018},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:f5eebb86288e2476eae75e66852618b397352b68a57b2d70262516c4a3874ad6","observation_id":"315ef7db-3171-4dc8-9173-ee871aaa27b9","resolution":{"observed_at":"2026-05-24T16:56:16.587216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"A contractio n theory approach to stochastic incremental stability","venue":null,"work_id":"b243a04e-9dd7-4ffd-bb04-15da4e4fc040","year":2009},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:1e53e774821ff010b06997ea5ca2bf09f07474d8f541017c29b75ce300083c41","observation_id":"b0100f0c-6c72-4a14-9fbf-29ec112c53ce","resolution":{"observed_at":"2026-05-24T16:56:16.532948Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"A differential Lyapunov fra mework for contraction analysis","venue":null,"work_id":"d68a79ae-c62a-4b75-a044-a9ae492c468a","year":2014},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:a1676e78b9b84a110bc332e5da01c3f0fc3de539bca6a563408ab823a7c58a8d","observation_id":"f9ec519f-845e-4686-8c07-fcedd12e1d91","resolution":{"observed_at":"2026-05-24T16:56:16.605819Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1803.01034","last_updated":"2018-03-02T20:29:12Z","snapshot_observed_at":"2026-08-14T19:40:07.900706Z","submitted_at":"2018-03-02T20:29:12Z","title":"Control Contraction Metrics on Finsler Manifolds","version":1},"cited_work":{"arxiv_id":"1803.01034","doi":null,"metadata_source":"pith","pith_arxiv_id":"1803.01034","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Control Contraction Metrics on Finsler Manifolds","venue":"cs.SY","work_id":"7f755733-f69b-413c-a80e-35a473c202e9","year":2018},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"cited_paper":"/paper/1803.01034","citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:e23eec9e15dc9ec14de5ce02c993c3d8d5806963801ff8bce2dbbbf8b1ba14ec","observation_id":"db9df57c-8e99-43f9-875a-f05bf6cdb148","resolution":{"observed_at":"2026-05-24T16:56:16.378677Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Distributed coord ination for non- smooth convex optimization via saddle-point dynamics","venue":null,"work_id":"977c06bf-b381-4368-b991-9d7596215fec","year":2018},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:55c826e8e38ab02e8ba40b6be281e6bb8579eeb5317f42ff5dec0cb2e276c61c","observation_id":"d6a0c2ad-9e2b-49e4-b6eb-5f98a2e4195f","resolution":{"observed_at":"2026-05-24T16:56:16.575379Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Robust distribu ted model pre- dictive control of constrained dynamically decoupled nonl inear systems: A contraction theory perspective","venue":null,"work_id":"51825c8b-9809-405e-ab65-c06e18f90dc8","year":2017},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:21fd1c46f6451a44b58506b78ff66e4e2be720fc82e597b015da30482a066876","observation_id":"57f5115a-0aee-4e4e-87a9-f0643a5969f8","resolution":{"observed_at":"2026-05-24T16:56:16.602216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"The prox imal augmented Lagrangian method for nonsmooth composite optim ization","venue":null,"work_id":"a4fb1765-8e4f-4729-9e72-dc119ae737fc","year":2018},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:eb966acaaaac700d2b8a20360436f2b63de39215529fb9d540fabafec35677a3","observation_id":"93b46221-2c30-4c76-b90d-be93916d90f0","resolution":{"observed_at":"2026-05-24T16:56:16.591751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Projected primal–dua l gradient flow of augmented Lagrangian with application to distributed ma ximization of the algebraic connectivity of a network","venue":null,"work_id":"1274136d-41e6-4742-885c-2c4d70c2b6c3","year":2018},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:342e3f52075352d15a738cedd2db08901b49d8c19b51209f8c2d2200533f9325","observation_id":"9f5ce7a5-1b14-4541-bcbe-7ac20af2bc80","resolution":{"observed_at":"2026-05-24T16:56:16.575782Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1711.08020","last_updated":"2017-11-21T20:22:04Z","snapshot_observed_at":"2026-08-14T20:11:19.248843Z","submitted_at":"2017-11-21T20:22:04Z","title":"First-order methods for constrained convex programming based on linearized augmented Lagrangian function","version":1},"cited_work":{"arxiv_id":"1711.08020","doi":null,"metadata_source":"pith","pith_arxiv_id":"1711.08020","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"First-order methods for constrained convex programming based on linearized augmented Lagrangian function","venue":"math.OC","work_id":"01ae2e91-4004-4bc6-9fce-26c1abc2d6ac","year":2017},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"cited_paper":"/paper/1711.08020","citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:e462e9b766482a7440c4515e2ed6605eba90afdc593a322f866a428f45dc7401","observation_id":"f218e67d-be26-4c2a-8fbc-97d9741cc907","resolution":{"observed_at":"2026-05-24T16:56:16.378935Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-05T21:23:00.469572Z","title":"Stability of primal–dual gr adient dynamics and applications to network optimization","venue":null,"work_id":"4f6af93e-ce1e-449f-ab2f-df221330dac5","year":1974},"citing_paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-24T16:56:05.369885Z"},"links":{"citing_paper":"/paper/1907.10171"},"observation_digest":"sha256:747cc725c9d7e5c059a85a980f4b0545e2dd3315ecd46659c68ab7922ed28974","observation_id":"e8499274-0abc-4f9b-85ff-12a792f0dd7e","resolution":{"observed_at":"2026-05-24T16:56:16.550476Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1907.10171","last_updated":"2019-07-23T23:09:12Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-02T08:52:18.113351Z","submitted_at":"2019-07-23T23:09:12Z","title":"Contraction Analysis on Primal-Dual Gradient Optimization"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":2,"verified_fuzzy":28},"total_outbound_references":30},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1907.10171."}