{"as_of":"2026-08-23T20:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0cd344028d25d2729551cb6590ea967bb26a9edf33a24e320857a0482df6d28b","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T08:04:14.297636Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T08:49:42.346648Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2106.13781","last_updated":"2021-06-25T17:33:51Z","snapshot_observed_at":"2026-08-16T18:14:25.850201Z","submitted_at":"2021-06-25T17:33:51Z","title":"Tighter Analysis of Alternating Stochastic Gradient Method for Stochastic Nested Problems","version":1},"cited_work":{"arxiv_id":"2106.13781","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2106.13781","snapshot_observed_at":"2026-07-04T08:49:42.346648Z","title":"Tighter analysis of alternating stochastic gradient method for stochastic nested problems","venue":null,"work_id":"2cf8c7b3-f905-4746-9254-7df7ddbee92c","year":2021},"citing_paper":{"arxiv_id":"2605.10288","last_updated":"2026-05-12T10:19:03Z","snapshot_observed_at":"2026-08-14T19:46:29.121523Z","submitted_at":"2026-05-11T09:50:10Z","title":"BROS: Bias-Corrected Randomized Subspaces for Memory-Efficient Single-Loop Bilevel Optimization","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-12T04:47:04.868735Z"},"links":{"cited_paper":"/paper/2106.13781","citing_paper":"/paper/2605.10288"},"observation_digest":"sha256:d0c9572b0820648df8af35b0ccdfe87ccd6537dfce4ee39cf6c8921e7bcb94f5","observation_id":"9c1d9a8b-7841-44d8-9ada-8e97f897bc04","resolution":{"observed_at":"2026-05-12T05:56:26.624916Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2106.13781","last_updated":"2021-06-25T17:33:51Z","snapshot_observed_at":"2026-08-16T18:14:25.850201Z","submitted_at":"2021-06-25T17:33:51Z","title":"Tighter Analysis of Alternating Stochastic Gradient Method for Stochastic Nested Problems","version":1},"cited_work":{"arxiv_id":"2106.13781","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2106.13781","snapshot_observed_at":"2026-07-04T08:49:42.346648Z","title":"Tighter analysis of alternating stochastic gradient method for stochastic nested problems","venue":null,"work_id":"2cf8c7b3-f905-4746-9254-7df7ddbee92c","year":2021},"citing_paper":{"arxiv_id":"2605.10288","last_updated":"2026-05-12T10:19:03Z","snapshot_observed_at":"2026-08-14T19:46:29.121523Z","submitted_at":"2026-05-11T09:50:10Z","title":"BROS: Bias-Corrected Randomized Subspaces for Memory-Efficient Single-Loop Bilevel Optimization","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-13T06:20:42.781613Z"},"links":{"cited_paper":"/paper/2106.13781","citing_paper":"/paper/2605.10288"},"observation_digest":"sha256:97f706cd4c4bfbcc0ac208970260c73b1fca875a8e6d84a69d1f341f476d2abd","observation_id":"454ceb59-cdf8-4943-afe2-1f4dffc5d918","resolution":{"observed_at":"2026-05-13T06:22:23.320613Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2106.13781","last_updated":"2021-06-25T17:33:51Z","snapshot_observed_at":"2026-08-16T18:14:25.850201Z","submitted_at":"2021-06-25T17:33:51Z","title":"Tighter Analysis of Alternating Stochastic Gradient Method for Stochastic Nested Problems","version":1},"cited_work":{"arxiv_id":"2106.13781","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2106.13781","snapshot_observed_at":"2026-07-04T08:49:42.346648Z","title":"Tighter analysis of alternating stochastic gradient method for stochastic nested problems","venue":null,"work_id":"2cf8c7b3-f905-4746-9254-7df7ddbee92c","year":2021},"citing_paper":{"arxiv_id":"2606.22433","last_updated":"2026-06-21T10:53:32Z","snapshot_observed_at":"2026-08-16T16:03:49.109955Z","submitted_at":"2026-06-21T10:53:32Z","title":"Escaping the Variance Trap: Jacobian-Free Dynamics for Root-Finding Bilevel Optimization","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-26T10:56:26.951886Z"},"links":{"cited_paper":"/paper/2106.13781","citing_paper":"/paper/2606.22433"},"observation_digest":"sha256:06977b4897ebd2446ad9d0a569bb9eb71b13bcc4d9ed88f47742ab0a3ef81ba2","observation_id":"049329e7-99f1-4598-a41e-099811147d62","resolution":{"observed_at":"2026-07-04T08:49:42.348019Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2106.13781","last_updated":"2021-06-25T17:33:51Z","snapshot_observed_at":"2026-08-16T18:14:25.850201Z","submitted_at":"2021-06-25T17:33:51Z","title":"Tighter Analysis of Alternating Stochastic Gradient Method for Stochastic Nested Problems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.13781","snapshot_observed_at":"2026-07-14T08:04:14.297636Z","title":"Tighter analysis of alternating stochastic gradient method for stochastic nested problems.arXiv preprint arXiv:2106.13781, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.10957","last_updated":"2026-07-12T23:23:02Z","snapshot_observed_at":"2026-08-16T14:08:39.748502Z","submitted_at":"2026-07-12T23:23:02Z","title":"Stochastic Dynamic Barrier Perturbed Gradient Methods for Nonconvex Simple Bilevel Optimization","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-14T08:04:14.297636Z"},"links":{"cited_paper":"/paper/2106.13781","citing_paper":"/paper/2607.10957"},"observation_digest":"sha256:e40cd86a4d4a54be4c7bd4e1721ee5516faf14e3ddc40f6635c5c8d14d5a1bed","observation_id":"15fc629f-34f7-4d9f-b9c6-f6126ec3fdd2","resolution":{"observed_at":"2026-07-14T08:04:14.297636Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2106.13781/citation-record","integrity":"/paper/2106.13781/integrity","json":"/paper/2106.13781/citation-record.json","paper":"/paper/2106.13781"},"outbound":[],"paper":{"arxiv_id":"2106.13781","last_updated":"2021-06-25T17:33:51Z","latest_version":1,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-16T18:14:25.850201Z","submitted_at":"2021-06-25T17:33:51Z","title":"Tighter Analysis of Alternating Stochastic Gradient Method for Stochastic Nested Problems"},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2106.13781."}