{"as_of":"2026-08-20T21:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:da0fd5d6d561bd3ac8c3cc1b3f8915295034a184593161811a4cb59befbd1e24","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":"2026-08-20T06:33:59.587034+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":"2026-08-15T18:49:09.857996Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.08612","last_updated":"2025-02-17T16:39:35Z","snapshot_observed_at":"2026-08-17T15:52:20.199542Z","submitted_at":"2024-09-13T07:58:40Z","title":"Asymptotics for Random Quadratic Transportation Costs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.08612","snapshot_observed_at":"2026-08-15T18:49:09.857996Z","title":"Huesmann, M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.19025","last_updated":"2025-06-23T18:28:48Z","snapshot_observed_at":"2026-08-17T16:14:06.098573Z","submitted_at":"2025-06-23T18:28:48Z","title":"Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:09.857996Z"},"links":{"cited_paper":"/paper/2409.08612","citing_paper":"/paper/2506.19025"},"observation_digest":"sha256:f783bc9017f82ee4a35a6da5c8c31fa50a8eace5ac8e89b3142ba791135ebbae","observation_id":"f215e552-67ed-4966-9ed4-3fc44caf3c28","resolution":{"observed_at":"2026-08-15T18:49:09.857996Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.08612","last_updated":"2025-02-17T16:39:35Z","snapshot_observed_at":"2026-08-17T15:52:20.199542Z","submitted_at":"2024-09-13T07:58:40Z","title":"Asymptotics for Random Quadratic Transportation Costs","version":2},"cited_work":{"arxiv_id":"2409.08612","doi":"10.48550/arxiv.2409.08612","metadata_source":"pith","pith_arxiv_id":"2409.08612","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Asymptotics for Random Quadratic Transportation Costs","venue":"math.PR","work_id":"7fa16180-6d03-45ba-bb61-96df356ed19b","year":2024},"citing_paper":{"arxiv_id":"2607.19080","last_updated":"2026-07-21T13:14:18Z","snapshot_observed_at":"2026-08-19T01:09:18.598936Z","submitted_at":"2026-07-21T13:14:18Z","title":"The Influence Function of Transport-based Quantiles","version":1},"reference_index":175,"source":"arxiv_source","source_observed_at":"2026-08-01T13:41:14.753135Z"},"links":{"cited_paper":"/paper/2409.08612","citing_paper":"/paper/2607.19080"},"observation_digest":"sha256:33e8c2d6df6a8292d627d1843366ff92642ff9fd5efce41354e3f0a8c30eebd6","observation_id":"df48e9fd-b4fd-44a1-a021-715b76bedd51","resolution":{"observed_at":"2026-08-01T13:43:40.114867Z","resolver_source":"local_arxiv","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":"2409.08612","last_updated":"2025-02-17T16:39:35Z","snapshot_observed_at":"2026-08-17T15:52:20.199542Z","submitted_at":"2024-09-13T07:58:40Z","title":"Asymptotics for Random Quadratic Transportation Costs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.08612","snapshot_observed_at":"2026-08-01T10:51:22.785549Z","title":"Huesmann, M.Goldman, D","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.20150","last_updated":"2026-07-22T13:52:00Z","snapshot_observed_at":"2026-08-09T12:17:55.389735Z","submitted_at":"2026-07-22T13:52:00Z","title":"Dimension-free Convergence Rate in Sliced Wasserstein Distance for Empirical Measures of Markov Processes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T10:51:22.785549Z"},"links":{"cited_paper":"/paper/2409.08612","citing_paper":"/paper/2607.20150"},"observation_digest":"sha256:92b217975b2db2481fb8646871af2affbedeabebc516726d7eae34b988c24315","observation_id":"f4807be5-e878-478f-90c0-d5cd759a08c8","resolution":{"observed_at":"2026-08-01T10:51:22.785549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2409.08612/citation-record","integrity":"/paper/2409.08612/integrity","json":"/paper/2409.08612/citation-record.json","paper":"/paper/2409.08612"},"outbound":[],"paper":{"arxiv_id":"2409.08612","last_updated":"2025-02-17T16:39:35Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-17T15:52:20.199542Z","submitted_at":"2024-09-13T07:58:40Z","title":"Asymptotics for Random Quadratic Transportation Costs"},"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":"2026-08-20T06:33:59.587034+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 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2409.08612."}