{"as_of":"2026-08-17T20:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a32e36197d777084b1c84558271dbf3275b6d10715488ec50414da7ab71992da","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T23:29:19.827321Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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":"2026-05-20T04:44:01.752827Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-20T04:53:05.286549Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"cited_work":{"arxiv_id":"2602.14129","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2602.14129","snapshot_observed_at":"2026-07-29T02:25:12.599724Z","title":null,"venue":null,"work_id":"1f260e99-3c24-415d-a256-a0bc3fe5fd62","year":null},"citing_paper":{"arxiv_id":"2605.19424","last_updated":"2026-05-19T06:23:26Z","snapshot_observed_at":"2026-08-07T05:50:33.138624Z","submitted_at":"2026-05-19T06:23:26Z","title":"On extremal cross $t$-intersecting families with $t$-covering number conditions","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-20T04:44:01.752827Z"},"links":{"cited_paper":"/paper/2602.14129","citing_paper":"/paper/2605.19424"},"observation_digest":"sha256:88eb7d6f84ad04b4d0c7c94229c36c0819d2333e3f589c107197ee66a9719146","observation_id":"71ff8cf8-312e-4df5-9468-3fab4acac995","resolution":{"observed_at":"2026-07-29T02:25:12.599724Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2602.14129/citation-record","integrity":"/paper/2602.14129/integrity","json":"/paper/2602.14129/citation-record.json","paper":"/paper/2602.14129"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:17.869712Z","title":"Ahlswede and L.H","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:17.869712Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:b173c7434c68e053b0babb8e121d5148d737184e45c029821b3ec543dc26195b","observation_id":"76103a59-04a6-4690-9c07-5696d6df3724","resolution":{"observed_at":"2026-08-02T23:29:17.869712Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:17.950781Z","title":"Ahlswede and L.H","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:17.950781Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:59e9d3155a3c486f7f83fe55311b183f70a42dfa3685a34da1ca985d6a15e584","observation_id":"9945bf93-0643-4d90-b538-0227529ed0c8","resolution":{"observed_at":"2026-08-02T23:29:17.950781Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:18.066284Z","title":"Bickle, Intersecting families of 3-sets, Australas","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:18.066284Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:67fec33a7e00d2bac4757ee2500712aa73afc1e0bb4541c61e6712b91f7c1090","observation_id":"cde9ba30-6fec-4d99-9353-20445528cb4a","resolution":{"observed_at":"2026-08-02T23:29:18.066284Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:18.221179Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:18.221179Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:9fffbba8745bba14ae2b783e5a986db01773f1ec0283b1cbd95e05bb513c193f","observation_id":"24cd604d-23b0-491e-ab47-ede8f3c53352","resolution":{"observed_at":"2026-08-02T23:29:18.221179Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:18.315924Z","title":"Erd˝ os, C","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:18.315924Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:8a3274d2016731bc95150aafa1cebe01f4c7ebf7621c48cd5632bbfbe84be9cb","observation_id":"644b1da7-50ff-4ff6-9f9f-d37ffbafc409","resolution":{"observed_at":"2026-08-02T23:29:18.315924Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:18.426878Z","title":"Erd˝ os and L","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:18.426878Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:ba2b847bebdc337d78d78b1604c41168ced59675ca162e6b889bacded1c769b2","observation_id":"4a4403c6-e921-4609-957c-feccd43372bf","resolution":{"observed_at":"2026-08-02T23:29:18.426878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:18.515256Z","title":"Frankl, The Erd˝ os-Ko-Rado theorem is true forn=ckt, in: Combinatorics, vol","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:18.515256Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:993f185dc754c3a811c873e474cd7e19a855750b08a7c95a72db24cee044f7df","observation_id":"57b8464d-2608-42d3-baad-cabef23ce49b","resolution":{"observed_at":"2026-08-02T23:29:18.515256Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:18.611885Z","title":"Frankl, On intersecting families of finite sets, J","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:18.611885Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:42c219ee48f3eedf706534c99f301611b689205253056be00a957579d0aa2e3a","observation_id":"82c3ba24-c74a-4e41-af69-58bdd7fd34fb","resolution":{"observed_at":"2026-08-02T23:29:18.611885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:18.691654Z","title":"Frankl, On intersecting families of finite sets, Bull","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:18.691654Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:6b3153639c0bcbf85d4617c7b1ac76f937782acb9cfcc1e9e6c9fd80ab9e679c","observation_id":"d317d3bd-2ff1-4776-a3d3-444429fe854b","resolution":{"observed_at":"2026-08-02T23:29:18.691654Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:18.768821Z","title":"Frankl, Critically intersecting hypergraphs, European J","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:18.768821Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:ae63b023e02075bb55450cca66723e00b3e15b3c4797d7e67833ff5dfbe7a087","observation_id":"c1b95eb6-35a5-4ea9-904e-ad9ce2477974","resolution":{"observed_at":"2026-08-02T23:29:18.768821Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:18.815557Z","title":"Frankl and A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:18.815557Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:54079f689fd7bfd399940a4475f7afb3a83c68ebcb5a6febc20b6cce3576da14","observation_id":"f89860cc-9dda-43d8-834a-edb156b09bb0","resolution":{"observed_at":"2026-08-02T23:29:18.815557Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:18.890828Z","title":"Frankl, K","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:18.890828Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:83010ce796db10c96d6562e261d1e92f5fff1cb5e35c0151670b6a9f674c29b2","observation_id":"c565e652-e8de-4bdd-88f3-48aaae6bd8ed","resolution":{"observed_at":"2026-08-02T23:29:18.890828Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:18.968710Z","title":"Frankl, K","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:18.968710Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:039be4645528197bf56fdfb3c75740bf443004143704915ad0fa4752bdebd51a","observation_id":"c0c5aca8-bed5-4b2e-af7a-95c822d096ba","resolution":{"observed_at":"2026-08-02T23:29:18.968710Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:19.069234Z","title":"Frankl and J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:19.069234Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:d603733cfcc24bdd0bf40545a640453950a0b78c31da1a30b108cf33ab943cf4","observation_id":"c6a223e5-23fb-433e-8731-9e1c649bdacf","resolution":{"observed_at":"2026-08-02T23:29:19.069234Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:19.185638Z","title":"F¨ uredi, Matchings and covers in hypergraphs, Graphs Combin","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:19.185638Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:8e57bf2097da0aaa3de3ff207a5c8953a5cc3d0994dc52d384ea0aaefbd12f41","observation_id":"8ecc54d2-b625-452f-a6ed-510ca95f97ff","resolution":{"observed_at":"2026-08-02T23:29:19.185638Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:19.273751Z","title":"Hilton and E","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:19.273751Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:dce17aed0e1a4e8c7959c4926e6d49e7d16b2a009a6197db206afda8ca5ba5dd","observation_id":"7febdbe3-9d3a-4cc2-bb02-d0e49b9aae36","resolution":{"observed_at":"2026-08-02T23:29:19.273751Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:19.373070Z","title":"Kupavskii, Intersecting families with covering number 3, J","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:19.373070Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:877f41bb3adc4e75a5586e82a4c197d3cdb675ab55ea15077e3ac7f15e474cc0","observation_id":"26dc1374-f0fe-47d1-97d6-ce6bc32c8f05","resolution":{"observed_at":"2026-08-02T23:29:19.373070Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:19.429089Z","title":"Lov´ asz, On minimax theorems of combinatorics, Math","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:19.429089Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:05f0fbb82492d31f54575fa68955590e1a5070695c442acf6ca93b461e4c0d1c","observation_id":"157484a3-f43f-48ec-a946-97ae3c3172c5","resolution":{"observed_at":"2026-08-02T23:29:19.429089Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:19.541327Z","title":"Moura, Maximals-wiset-intersecting families of sets: kernels, generating sets, and enumeration, J","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:19.541327Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:cb9702588e8f9c73b8461b95700f86143703899c6c7be538cf06ceae659694e3","observation_id":"f47bdef7-59f9-4477-9342-50db7c085f56","resolution":{"observed_at":"2026-08-02T23:29:19.541327Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:19.626145Z","title":"Polcyn and A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:19.626145Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:22eb104169df3cfbf167fd605ca66ab1b8e4ef2535c20fb9b6e9434fcbda2426","observation_id":"23a3f896-fbec-451e-844f-4a0bd2df4fd9","resolution":{"observed_at":"2026-08-02T23:29:19.626145Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:19.750749Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:19.750749Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:95da2e4407a73957047a13f27adbe6e08e05a9d0cfaa0e0318838b10462f336e","observation_id":"b68d2cc1-a2d1-41ae-989b-12fa69d42eb4","resolution":{"observed_at":"2026-08-02T23:29:19.750749Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T23:29:19.827321Z","title":"Wilson, The exact bound in the Erd˝ os-Ko-Rado theorem, Combinatorica 4 (1984) 247–257","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-02T23:29:19.827321Z"},"links":{"citing_paper":"/paper/2602.14129"},"observation_digest":"sha256:f3e33073ceaa39807d86cfbbfc0422fed0a749f2a83d8697322b13ede03d281c","observation_id":"3c2377fd-fca3-482b-90e0-7dac31b43a8c","resolution":{"observed_at":"2026-08-02T23:29:19.827321Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2602.14129","last_updated":"2026-07-28T13:25:35Z","latest_version":3,"primary_category":"math.CO","snapshot_observed_at":"2026-08-13T19:04:58.445501Z","submitted_at":"2026-02-15T13:02:33Z","title":"Extremal $t$-intersecting families for finite sets with $t$-covering number at least $t+2$"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":22,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":22},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2602.14129."}