{"as_of":"2026-08-13T11:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ead457cfa1ab4023e44a79985be6ef709ed9e08d76af026b146cb0f12412c7d3","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T00:05:49.226279Z","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":"2026-06-28T18:32:29.107421Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2401.16870","last_updated":"2025-06-23T13:21:39Z","snapshot_observed_at":"2026-08-13T09:28:18.157313Z","submitted_at":"2024-01-30T10:22:06Z","title":"Krasnoselskii-Mann Iterations: Inertia, Perturbations and Approximation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.16870","snapshot_observed_at":"2026-08-12T00:05:49.226279Z","title":"https://arxiv.org/abs/2401.16870","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.02045","last_updated":"2024-12-03T00:05:48Z","snapshot_observed_at":"2026-08-12T21:43:10.126725Z","submitted_at":"2024-12-03T00:05:48Z","title":"Relaxed and Inertial Nonlinear Forward-Backward with Momentum","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T00:05:49.226279Z"},"links":{"cited_paper":"/paper/2401.16870","citing_paper":"/paper/2412.02045"},"observation_digest":"sha256:3ceaad19d12f0105150d46059c6ebbeb40e66cbbf860b7f0204249f19a331497","observation_id":"e1999fe9-e1d7-49a7-8c48-023e36ad2442","resolution":{"observed_at":"2026-08-12T00:05:49.226279Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.16870","last_updated":"2025-06-23T13:21:39Z","snapshot_observed_at":"2026-08-13T09:28:18.157313Z","submitted_at":"2024-01-30T10:22:06Z","title":"Krasnoselskii-Mann Iterations: Inertia, Perturbations and Approximation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.16870","snapshot_observed_at":"2026-08-05T14:50:30.521600Z","title":"Krasnoselskii-mann iterations: Inertia, perturbations and approximation,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.20872","last_updated":"2025-08-28T15:02:19Z","snapshot_observed_at":"2026-08-12T08:22:48.346738Z","submitted_at":"2025-08-28T15:02:19Z","title":"Tikhonov regularized exterior penalty methods for hierarchical variational inequalities","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T14:50:30.521600Z"},"links":{"cited_paper":"/paper/2401.16870","citing_paper":"/paper/2508.20872"},"observation_digest":"sha256:2ea9c61069b818ec761d4ba8819ac49b5a5050a8a56ccbc4ba71d0758b8e36b5","observation_id":"80678a67-81e3-41de-a8b9-39e30a424cb9","resolution":{"observed_at":"2026-08-05T14:50:30.521600Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.16870","last_updated":"2025-06-23T13:21:39Z","snapshot_observed_at":"2026-08-13T09:28:18.157313Z","submitted_at":"2024-01-30T10:22:06Z","title":"Krasnoselskii-Mann Iterations: Inertia, Perturbations and Approximation","version":2},"cited_work":{"arxiv_id":"2401.16870","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.16870","snapshot_observed_at":"2026-06-28T18:32:29.107421Z","title":"Cortild and J","venue":null,"work_id":"e63f856f-0f08-458e-8d18-092f0e19f613","year":2025},"citing_paper":{"arxiv_id":"2606.00528","last_updated":"2026-07-31T07:37:59Z","snapshot_observed_at":"2026-08-09T07:23:59.203155Z","submitted_at":"2026-05-30T04:47:53Z","title":"Perturbation-resilient inertial Krasnosel'skii-type hybrid retractions for generalized nonexpansive mappings","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-28T18:30:45.262005Z"},"links":{"cited_paper":"/paper/2401.16870","citing_paper":"/paper/2606.00528"},"observation_digest":"sha256:cc80a232e1bd4ad01225bd9112a2e643ff8c9ff6821ff8dca8f4a4cf098ad4d1","observation_id":"c5a925be-c967-48ed-8d18-c9802fde0d9a","resolution":{"observed_at":"2026-06-28T18:32:29.109837Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2401.16870/citation-record","integrity":"/paper/2401.16870/integrity","json":"/paper/2401.16870/citation-record.json","paper":"/paper/2401.16870"},"outbound":[],"paper":{"arxiv_id":"2401.16870","last_updated":"2025-06-23T13:21:39Z","latest_version":2,"primary_category":"math.OC","snapshot_observed_at":"2026-08-13T09:28:18.157313Z","submitted_at":"2024-01-30T10:22:06Z","title":"Krasnoselskii-Mann Iterations: Inertia, Perturbations and Approximation"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2401.16870."}