{"as_of":"2026-08-08T15:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ac1e42d657d10cdd1ac3e9d71b10705cf625acbce0b6d769654dcef36b85e1ef","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T14:20:18.064256Z","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":"2026-08-06T14:20:18.148848Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2002.04783","last_updated":"2022-06-04T08:15:00Z","snapshot_observed_at":"2026-08-08T01:33:34.589890Z","submitted_at":"2020-02-12T03:40:52Z","title":"Fixed-Support Wasserstein Barycenters: Computational Hardness and Fast Algorithm","version":11},"cited_work":{"arxiv_id":"2002.04783","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.04783","snapshot_observed_at":"2026-08-06T14:20:18.148848Z","title":"Fixed-Support Wasserstein Barycenters: Computational Hardness and Fast Algorithm","venue":"cs.CC","work_id":"91b3b3c2-8b35-4c6f-9ac8-724a15495166","year":2020},"citing_paper":{"arxiv_id":"2507.19627","last_updated":"2025-07-25T18:54:25Z","snapshot_observed_at":"2026-08-06T14:20:16.112621Z","submitted_at":"2025-07-25T18:54:25Z","title":"Federated Calculation of the Free-Support Transportation Barycenter by Single-Loop Dual Decomposition","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T14:20:18.064256Z"},"links":{"cited_paper":"/paper/2002.04783","citing_paper":"/paper/2507.19627"},"observation_digest":"sha256:97fb2d2a0042e2175df4fd09f35886ed32cf94b3ec3d056e25a476b2bb4e391a","observation_id":"f91bc1c5-cb12-41c3-8dfa-f26a4114996c","resolution":{"observed_at":"2026-08-06T14:20:18.153974Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2002.04783/citation-record","integrity":"/paper/2002.04783/integrity","json":"/paper/2002.04783/citation-record.json","paper":"/paper/2002.04783"},"outbound":[],"paper":{"arxiv_id":"2002.04783","last_updated":"2022-06-04T08:15:00Z","latest_version":11,"primary_category":"cs.CC","snapshot_observed_at":"2026-08-08T01:33:34.589890Z","submitted_at":"2020-02-12T03:40:52Z","title":"Fixed-Support Wasserstein Barycenters: Computational Hardness and Fast Algorithm"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2002.04783."}