{"as_of":"2026-08-13T18:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a20d3afb3590e9e2fb5c5bec62c0a57d91950c66104de72ed8fffd20bd9fbec6","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":"2026-08-13T06:32:02.005865+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":"2026-08-07T19:55:49.845081Z","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":"2026-08-07T13:10:35.802326Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2207.08030","last_updated":"2022-12-15T12:16:18Z","snapshot_observed_at":"2026-08-13T15:02:54.805302Z","submitted_at":"2022-07-16T22:28:21Z","title":"High-rank subtensors of high-rank tensors","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.08030","snapshot_observed_at":"2026-08-07T19:55:49.845081Z","title":"High-rank subtensors of high-rank tensors","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.10007","last_updated":"2026-08-03T15:55:05Z","snapshot_observed_at":"2026-08-07T19:40:33.184859Z","submitted_at":"2025-02-14T08:41:57Z","title":"Strength and partition rank under limits and field extensions","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T19:55:49.845081Z"},"links":{"cited_paper":"/paper/2207.08030","citing_paper":"/paper/2502.10007"},"observation_digest":"sha256:53b796ee1abbdf74874afb987efd741c96bf999309ecefe8201772032421d67e","observation_id":"16f01f9f-0b05-42eb-afe4-e469998253ef","resolution":{"observed_at":"2026-08-07T19:55:49.845081Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.08030","last_updated":"2022-12-15T12:16:18Z","snapshot_observed_at":"2026-08-13T15:02:54.805302Z","submitted_at":"2022-07-16T22:28:21Z","title":"High-rank subtensors of high-rank tensors","version":2},"cited_work":{"arxiv_id":"2207.08030","doi":null,"metadata_source":"pith","pith_arxiv_id":"2207.08030","snapshot_observed_at":"2026-08-07T13:10:35.802326Z","title":"High-rank subtensors of high-rank tensors","venue":"math.CO","work_id":"e464d130-af4f-47c2-9fbf-3091ffe2480e","year":2022},"citing_paper":{"arxiv_id":"2505.23335","last_updated":"2025-05-29T10:53:39Z","snapshot_observed_at":"2026-08-10T18:20:39.283248Z","submitted_at":"2025-05-29T10:53:39Z","title":"Algebraic aspects of the polynomial Littlewood-Offord problem","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T13:10:31.078417Z"},"links":{"cited_paper":"/paper/2207.08030","citing_paper":"/paper/2505.23335"},"observation_digest":"sha256:f023ca55a38edea5c8dfc70c9915490dddb9c7004a92c544a48dbdd1439c0989","observation_id":"b52d78ec-4943-45ac-8b38-d990a810c0fd","resolution":{"observed_at":"2026-08-07T13:10:35.939612Z","resolver_source":"local_arxiv","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/2207.08030/citation-record","integrity":"/paper/2207.08030/integrity","json":"/paper/2207.08030/citation-record.json","paper":"/paper/2207.08030"},"outbound":[],"paper":{"arxiv_id":"2207.08030","last_updated":"2022-12-15T12:16:18Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-13T15:02:54.805302Z","submitted_at":"2022-07-16T22:28:21Z","title":"High-rank subtensors of high-rank tensors"},"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 2 inbound Pith citation observations for arXiv:2207.08030."}