{"as_of":"2026-08-10T12:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:73ad39bb0ef102eda0b31653b5878cc525dcd65bb1d57b450e9d87ecfd61db7e","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T06:07:32.184312Z","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":"2026-08-05T16:05:10.288168Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.08483","last_updated":"2021-08-31T01:10:41Z","snapshot_observed_at":"2026-08-08T17:10:34.350707Z","submitted_at":"2019-08-22T16:33:22Z","title":"Improved bounds for the sunflower lemma","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.08483","snapshot_observed_at":"2026-08-09T06:07:32.184312Z","title":"Alweiss, S","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.03105","last_updated":"2025-02-05T12:03:47Z","snapshot_observed_at":"2026-08-10T11:20:37.343627Z","submitted_at":"2025-02-05T12:03:47Z","title":"Satisfying sequences for rainbow partite matchings","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T06:07:32.184312Z"},"links":{"cited_paper":"/paper/1908.08483","citing_paper":"/paper/2502.03105"},"observation_digest":"sha256:22128db4488ca346448d790fadbb72d5518af98c34b6c70d937ee11ab2e93e79","observation_id":"793959fc-fda9-490d-bfef-4e34d4f10a69","resolution":{"observed_at":"2026-08-09T06:07:32.184312Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.08483","last_updated":"2021-08-31T01:10:41Z","snapshot_observed_at":"2026-08-08T17:10:34.350707Z","submitted_at":"2019-08-22T16:33:22Z","title":"Improved bounds for the sunflower lemma","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.08483","snapshot_observed_at":"2026-08-08T14:43:54.590050Z","title":"Alweiss, S","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.06699","last_updated":"2025-02-10T17:24:56Z","snapshot_observed_at":"2026-08-09T06:06:23.573287Z","submitted_at":"2025-02-10T17:24:56Z","title":"The Hajnal--Rothschild problem","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-08T14:43:54.590050Z"},"links":{"cited_paper":"/paper/1908.08483","citing_paper":"/paper/2502.06699"},"observation_digest":"sha256:5b4f2bfbcbb893048dc2831267618f5c88ae45ceb006d1953c6c629b8cd1bf5f","observation_id":"d5fb599c-5545-455f-8d9f-2d97c6c41ff1","resolution":{"observed_at":"2026-08-08T14:43:54.590050Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.08483","last_updated":"2021-08-31T01:10:41Z","snapshot_observed_at":"2026-08-08T17:10:34.350707Z","submitted_at":"2019-08-22T16:33:22Z","title":"Improved bounds for the sunflower lemma","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.08483","snapshot_observed_at":"2026-08-06T14:58:24.863387Z","title":"Alweiss, S","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.17913","last_updated":"2025-07-23T20:23:34Z","snapshot_observed_at":"2026-08-08T17:10:45.841638Z","submitted_at":"2025-07-23T20:23:34Z","title":"A complete $t$-intersection theorem for families of spanning trees","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T14:58:24.863387Z"},"links":{"cited_paper":"/paper/1908.08483","citing_paper":"/paper/2507.17913"},"observation_digest":"sha256:7cab0c0969676755f7ae64c3dfcb3e6080f85cf9ab0fe54180a9977d9461c753","observation_id":"92728e77-099d-4e20-a34f-c646d02ddd80","resolution":{"observed_at":"2026-08-06T14:58:24.863387Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.08483","last_updated":"2021-08-31T01:10:41Z","snapshot_observed_at":"2026-08-08T17:10:34.350707Z","submitted_at":"2019-08-22T16:33:22Z","title":"Improved bounds for the sunflower lemma","version":3},"cited_work":{"arxiv_id":"1908.08483","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.08483","snapshot_observed_at":"2026-08-05T16:05:10.288168Z","title":"Improved bounds for the sunflower lemma","venue":"math.CO","work_id":"6b94c698-c623-4a25-a108-2934a4bed2b9","year":2019},"citing_paper":{"arxiv_id":"2508.20132","last_updated":"2025-08-26T15:49:20Z","snapshot_observed_at":"2026-08-08T17:38:16.260918Z","submitted_at":"2025-08-26T15:49:20Z","title":"Delta-system method: a survey","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T16:05:09.486980Z"},"links":{"cited_paper":"/paper/1908.08483","citing_paper":"/paper/2508.20132"},"observation_digest":"sha256:ef2a60533d2499fc3364854e74ff6effe8ce835a7370169e3faa3eefe20a67bb","observation_id":"a81ce20d-ec3a-4230-9aa7-3c96f5ba715c","resolution":{"observed_at":"2026-08-05T16:05:10.291241Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1908.08483/citation-record","integrity":"/paper/1908.08483/integrity","json":"/paper/1908.08483/citation-record.json","paper":"/paper/1908.08483"},"outbound":[],"paper":{"arxiv_id":"1908.08483","last_updated":"2021-08-31T01:10:41Z","latest_version":3,"primary_category":"math.CO","snapshot_observed_at":"2026-08-08T17:10:34.350707Z","submitted_at":"2019-08-22T16:33:22Z","title":"Improved bounds for the sunflower lemma"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1908.08483."}