{"as_of":"2026-08-17T08:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:893433afc6b2047f7eb48a0772a8f54a3bb1e042f308df4e53e2aa1bcc8cae99","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:19:35.058919Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-04T08:49:42.825323Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1806.04781","last_updated":"2018-06-12T21:56:48Z","snapshot_observed_at":"2026-08-15T10:33:39.511274Z","submitted_at":"2018-06-12T21:56:48Z","title":"On the Convergence Rate of Stochastic Mirror Descent for Nonsmooth Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.04781","snapshot_observed_at":"2026-08-14T15:09:34.435217Z","title":"Zhang and N","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-16T23:53:52.676683Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.435217Z"},"links":{"cited_paper":"/paper/1806.04781","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:caea1ff9125277a4d731713f97264031a38ef16e26f657840d121ea55d802b08","observation_id":"6b4ce2e1-4c12-477b-ae31-c117f285cefc","resolution":{"observed_at":"2026-08-14T15:09:34.435217Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.04781","last_updated":"2018-06-12T21:56:48Z","snapshot_observed_at":"2026-08-15T10:33:39.511274Z","submitted_at":"2018-06-12T21:56:48Z","title":"On the Convergence Rate of Stochastic Mirror Descent for Nonsmooth Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.04781","snapshot_observed_at":"2026-08-14T10:22:25.749714Z","title":"arXiv preprint arXiv:1806.04781 (2018) Appendix: Discussion on Assumption 4 for application (83) We explain that Assumption 4 can hold for the tested problem (83)","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.11518","last_updated":"2020-12-01T14:23:29Z","snapshot_observed_at":"2026-08-16T01:00:42.632731Z","submitted_at":"2019-08-30T03:33:53Z","title":"Inexact Proximal-Point Penalty Methods for Constrained Non-Convex Optimization","version":4},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-14T10:22:25.749714Z"},"links":{"cited_paper":"/paper/1806.04781","citing_paper":"/paper/1908.11518"},"observation_digest":"sha256:36ba758e914029c96ce4629c6d7cd1a3a24191332e1736e189687125fe25a4ae","observation_id":"7df1e06e-8615-4cae-a5fd-d38640ecbad4","resolution":{"observed_at":"2026-08-14T10:22:25.749714Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.04781","last_updated":"2018-06-12T21:56:48Z","snapshot_observed_at":"2026-08-15T10:33:39.511274Z","submitted_at":"2018-06-12T21:56:48Z","title":"On the Convergence Rate of Stochastic Mirror Descent for Nonsmooth Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.04781","snapshot_observed_at":"2026-08-07T04:35:18.030263Z","title":"On the convergence rate of stochastic mirror descent for nonsmooth nonconvex optimization,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.10362","last_updated":"2025-06-13T11:47:29Z","snapshot_observed_at":"2026-08-07T04:25:49.492832Z","submitted_at":"2025-06-12T05:39:14Z","title":"Relaxation-Free Min-k-Partition for PCI Assignment in 5G Networks","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T04:35:18.030263Z"},"links":{"cited_paper":"/paper/1806.04781","citing_paper":"/paper/2506.10362"},"observation_digest":"sha256:039fcc9483140a9ab77bbc14a164203b2ac3eb41cda233ed53602f12f4c2e058","observation_id":"25a3d04f-209a-4f22-9b85-042340b46d2d","resolution":{"observed_at":"2026-08-07T04:35:18.030263Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.04781","last_updated":"2018-06-12T21:56:48Z","snapshot_observed_at":"2026-08-15T10:33:39.511274Z","submitted_at":"2018-06-12T21:56:48Z","title":"On the Convergence Rate of Stochastic Mirror Descent for Nonsmooth Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":"1806.04781","doi":null,"metadata_source":"pith","pith_arxiv_id":"1806.04781","snapshot_observed_at":"2026-07-04T08:49:42.825323Z","title":"On the Convergence Rate of Stochastic Mirror Descent for Nonsmooth Nonconvex Optimization","venue":"math.OC","work_id":"b8a36b9e-e8d1-4932-a8ed-567b6934da8d","year":2018},"citing_paper":{"arxiv_id":"2606.22579","last_updated":"2026-06-21T16:29:25Z","snapshot_observed_at":"2026-08-02T07:11:59.062207Z","submitted_at":"2026-06-21T16:29:25Z","title":"Stationary Robust Mean-Field Games under Model Mismatches","version":1},"reference_index":127,"source":"arxiv_source","source_observed_at":"2026-06-26T10:50:40.841967Z"},"links":{"cited_paper":"/paper/1806.04781","citing_paper":"/paper/2606.22579"},"observation_digest":"sha256:335e8725068cf045600d689ac52d698efa93bfe8e81786bf70bd65d03da9d0af","observation_id":"788f3394-03b3-48a6-9827-40fb3720af5b","resolution":{"observed_at":"2026-07-04T08:49:42.826461Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1806.04781","last_updated":"2018-06-12T21:56:48Z","snapshot_observed_at":"2026-08-15T10:33:39.511274Z","submitted_at":"2018-06-12T21:56:48Z","title":"On the Convergence Rate of Stochastic Mirror Descent for Nonsmooth Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.04781","snapshot_observed_at":"2026-08-15T15:19:35.058919Z","title":"On the convergence rate of stochastic mirror descent for nonsmooth nonconvex optimization","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.01658","last_updated":"2026-08-03T03:47:30Z","snapshot_observed_at":"2026-08-16T12:32:07.472210Z","submitted_at":"2026-08-03T03:47:30Z","title":"Non-KKT Accumulation in Entropic Mirror Descent","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T15:19:35.058919Z"},"links":{"cited_paper":"/paper/1806.04781","citing_paper":"/paper/2608.01658"},"observation_digest":"sha256:c2e2c1de5c42af1b8b6347b1b09dc6a993d1bdf6bcd849c002415e982ac8d4e3","observation_id":"a90448de-adb4-46f7-b476-44983ed3d466","resolution":{"observed_at":"2026-08-15T15:19:35.058919Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.04781","last_updated":"2018-06-12T21:56:48Z","snapshot_observed_at":"2026-08-15T10:33:39.511274Z","submitted_at":"2018-06-12T21:56:48Z","title":"On the Convergence Rate of Stochastic Mirror Descent for Nonsmooth Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.04781","snapshot_observed_at":"2026-08-10T12:00:38.308592Z","title":"On the convergence rate of stochastic mirror descent for nonsmooth nonconvex optimization","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.07248","last_updated":"2026-08-10T15:53:10Z","snapshot_observed_at":"2026-08-13T23:40:56.923939Z","submitted_at":"2026-08-07T14:06:54Z","title":"Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T12:00:38.308592Z"},"links":{"cited_paper":"/paper/1806.04781","citing_paper":"/paper/2608.07248"},"observation_digest":"sha256:11965eb40ec4098a1d2ca33be0feda87d2a52209012a5d4c897392ed05e48330","observation_id":"98c4e22b-6c1f-4103-9073-981cfa5d0f6c","resolution":{"observed_at":"2026-08-10T12:00:38.308592Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.04781","last_updated":"2018-06-12T21:56:48Z","snapshot_observed_at":"2026-08-15T10:33:39.511274Z","submitted_at":"2018-06-12T21:56:48Z","title":"On the Convergence Rate of Stochastic Mirror Descent for Nonsmooth Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.04781","snapshot_observed_at":"2026-08-11T04:22:57.466060Z","title":"On the convergence rate of stochastic mirror descent for nonsmooth nonconvex optimization","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.07248","last_updated":"2026-08-10T15:53:10Z","snapshot_observed_at":"2026-08-13T23:40:56.923939Z","submitted_at":"2026-08-07T14:06:54Z","title":"Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T04:22:57.466060Z"},"links":{"cited_paper":"/paper/1806.04781","citing_paper":"/paper/2608.07248"},"observation_digest":"sha256:2b8a552e6cef9548fa983b53f652bc863aff5a087fa6593b212d2f73e393d11d","observation_id":"765ff1f9-ccd1-447d-9737-bc5d246af9d9","resolution":{"observed_at":"2026-08-11T04:22:57.466060Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1806.04781/citation-record","integrity":"/paper/1806.04781/integrity","json":"/paper/1806.04781/citation-record.json","paper":"/paper/1806.04781"},"outbound":[],"paper":{"arxiv_id":"1806.04781","last_updated":"2018-06-12T21:56:48Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-15T10:33:39.511274Z","submitted_at":"2018-06-12T21:56:48Z","title":"On the Convergence Rate of Stochastic Mirror Descent for Nonsmooth Nonconvex Optimization"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:1806.04781."}