{"as_of":"2026-08-08T17:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:badff088c419dcc109b9532cdf8c184e5e32ecf702c79beb96feb554bb9b2172","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:10:31.773631Z","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":"2026-08-07T12:42:33.847121Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2312.13826","last_updated":"2023-12-21T13:17:50Z","snapshot_observed_at":"2026-07-06T17:06:29.162729Z","submitted_at":"2023-12-21T13:17:50Z","title":"Resolution of the quadratic Littlewood--Offord problem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.13826","snapshot_observed_at":"2026-08-07T13:10:31.773631Z","title":"Kwan and L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.23335","last_updated":"2025-05-29T10:53:39Z","snapshot_observed_at":"2026-08-07T12:45:38.042199Z","submitted_at":"2025-05-29T10:53:39Z","title":"Algebraic aspects of the polynomial Littlewood-Offord problem","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T13:10:31.773631Z"},"links":{"cited_paper":"/paper/2312.13826","citing_paper":"/paper/2505.23335"},"observation_digest":"sha256:8d959e052ab882dc2329e52d83d296c750d40c522f1ad99ba47102a0bebe1362","observation_id":"8e72dfa1-123b-43a4-9321-a1a612fce0de","resolution":{"observed_at":"2026-08-07T13:10:31.773631Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.13826","last_updated":"2023-12-21T13:17:50Z","snapshot_observed_at":"2026-07-06T17:06:29.162729Z","submitted_at":"2023-12-21T13:17:50Z","title":"Resolution of the quadratic Littlewood--Offord problem","version":1},"cited_work":{"arxiv_id":"2312.13826","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.13826","snapshot_observed_at":"2026-08-07T12:42:33.847121Z","title":"Resolution of the quadratic Littlewood--Offord problem","venue":"math.CO","work_id":"92ad9377-32b4-40e7-9263-b7aa4dc2aeff","year":2023},"citing_paper":{"arxiv_id":"2505.24699","last_updated":"2025-05-30T15:22:29Z","snapshot_observed_at":"2026-08-07T12:12:41.481083Z","submitted_at":"2025-05-30T15:22:29Z","title":"Geometric Littlewood-Offord problems via lattice point counting","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:32.674491Z"},"links":{"cited_paper":"/paper/2312.13826","citing_paper":"/paper/2505.24699"},"observation_digest":"sha256:1d296fe2d1e3a1f4607d742883475dd9d1ea7698c89a8140182ebefa6d1ed73f","observation_id":"2e49dc8d-d335-4dc8-8296-3f729396e211","resolution":{"observed_at":"2026-08-07T12:42:33.902234Z","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/2312.13826/citation-record","integrity":"/paper/2312.13826/integrity","json":"/paper/2312.13826/citation-record.json","paper":"/paper/2312.13826"},"outbound":[],"paper":{"arxiv_id":"2312.13826","last_updated":"2023-12-21T13:17:50Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-07-06T17:06:29.162729Z","submitted_at":"2023-12-21T13:17:50Z","title":"Resolution of the quadratic Littlewood--Offord problem"},"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 2 inbound Pith citation observations for arXiv:2312.13826."}