{"as_of":"2026-08-14T18:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:20707a427c7f939e1a0b8f90aa6761c9cb98f09e324b8a18f4bc9bf1795af344","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":"2026-08-14T06:32:32.682623+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":"2026-08-12T15:30:15.063793Z","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":"2026-08-12T15:30:15.142598Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.14710","last_updated":"2025-06-19T07:14:03Z","snapshot_observed_at":"2026-08-12T23:59:42.014605Z","submitted_at":"2024-05-23T15:43:05Z","title":"Sums of four polygonal numbers: precise formulas","version":2},"cited_work":{"arxiv_id":"2405.14710","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.14710","snapshot_observed_at":"2026-08-12T15:30:15.142598Z","title":"Sums of four polygonal numbers: precise formulas","venue":"math.NT","work_id":"2579313a-380d-40f1-90ac-71b6c47b4174","year":2024},"citing_paper":{"arxiv_id":"2411.14308","last_updated":"2024-12-05T13:39:51Z","snapshot_observed_at":"2026-08-12T15:17:14.234419Z","submitted_at":"2024-11-21T17:00:03Z","title":"New results similar to Lagrange's four-square theorem","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T15:30:15.063793Z"},"links":{"cited_paper":"/paper/2405.14710","citing_paper":"/paper/2411.14308"},"observation_digest":"sha256:76db5779de6e4e27b429cd3d933912d133dc8b1dd7f7bc92ce17318ccb44fad3","observation_id":"2f895f7f-4d1d-4ec4-9f6d-eab77e56c534","resolution":{"observed_at":"2026-08-12T15:30:15.149404Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2405.14710/citation-record","integrity":"/paper/2405.14710/integrity","json":"/paper/2405.14710/citation-record.json","paper":"/paper/2405.14710"},"outbound":[],"paper":{"arxiv_id":"2405.14710","last_updated":"2025-06-19T07:14:03Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-12T23:59:42.014605Z","submitted_at":"2024-05-23T15:43:05Z","title":"Sums of four polygonal numbers: precise formulas"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2405.14710."}