{"as_of":"2026-08-11T12:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d271919aff26cacd7f249bf171274d3424f33898d8df115529f6b17a6f35fa76","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T20:36:29.684167Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2608.05951/citation-record","integrity":"/paper/2608.05951/integrity","json":"/paper/2608.05951/citation-record.json","paper":"/paper/2608.05951"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.988599Z","title":"Alweiss, S","venue":null,"work_id":"74cfba13-c1fa-4760-9f93-83dd5a4943c3","year":2021},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.593275Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:adc4512f68bfd74572967aaf166fe10f166462aff1d206ab9a296203f9adada9","observation_id":"523e40fa-fd10-4938-92f2-53eae71ab538","resolution":{"observed_at":"2026-08-07T20:36:29.992889Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.974341Z","title":"Ahlswede and L","venue":null,"work_id":"0f50518a-8936-4c04-ab93-6d5bd0b75484","year":1997},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.598882Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:7c1d264540246b24d72c7e22d560672461d1906cb4d53fe42ae178e86e5eaed0","observation_id":"ca64bd03-07ed-48a4-9cff-0fc03e2be4c7","resolution":{"observed_at":"2026-08-07T20:36:29.978843Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.959635Z","title":"Erd˝ os, C","venue":null,"work_id":"f4d4159b-4912-4309-b0c7-8327112c5d7e","year":1961},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.604205Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:38d5b65ab37999c0a3f52ccfe4f5b3a842a787ac6a229f0867d04894291e649f","observation_id":"cc4d73bd-3a4e-4067-be80-8d28af3e8b8b","resolution":{"observed_at":"2026-08-07T20:36:29.964630Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.945168Z","title":null,"venue":null,"work_id":"7f529b3a-29f8-416d-b05d-e6b9a776272f","year":2000},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.609811Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:e55cd7222a4e7c1ce4475da85f3c56b733897d7213f1db9834877b4494834f78","observation_id":"df57dd03-8bd3-4deb-80d2-bd7e212e0265","resolution":{"observed_at":"2026-08-07T20:36:29.949673Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.930503Z","title":"Frankston, J","venue":null,"work_id":"32040fa9-06ea-4acb-b3ba-4e9c807374cf","year":2021},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.615176Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:b0015a0c57a4b428bc9cbb8e4e71d34b9b9484394332bb50b396ec716692780e","observation_id":"8f6931c1-8e89-4447-94e2-72d9e108b568","resolution":{"observed_at":"2026-08-07T20:36:29.935072Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.915169Z","title":null,"venue":null,"work_id":"9e658779-4074-4a47-a323-b175593e8880","year":1967},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.620482Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:b02334eb4cebbf285b7f000bf049c95eeb636c716a9877ef9604307452be0ff8","observation_id":"7f8378ef-8dab-4e12-80cc-4c8c39316644","resolution":{"observed_at":"2026-08-07T20:36:29.920124Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.899783Z","title":null,"venue":null,"work_id":"b591a4dd-3a3c-4780-8fcc-3658fe7bcbec","year":1974},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.626946Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:a3ecfca32d0d62947a24ee9fbc95bbd1eda08b7530a7c513bac75d48759c9763","observation_id":"8a6fe0ac-a86b-4512-8bd2-473e2adc8751","resolution":{"observed_at":"2026-08-07T20:36:29.904759Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.884769Z","title":"Meagher and L","venue":null,"work_id":"91b4ad87-e2e3-48fb-85e2-69b7741e3638","year":2005},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.631979Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:8f1fbda53358c111bf09fe2233eb82d73e4f4d5c74c51847df8f80be43da2e74","observation_id":"729a10e8-64a2-4c57-9138-f63e4b353e3b","resolution":{"observed_at":"2026-08-07T20:36:29.889479Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.869538Z","title":"Meagher, M","venue":null,"work_id":"ba4b3c73-c3f6-4cb7-9927-1f3348781c1e","year":2023},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.637055Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:54f1f5aac7d63d4778d7d3fd1269d02d7991c89db1869f7491dd1a71194a8dfd","observation_id":"f279aab0-3204-4b6d-aaf6-1127587c3ee1","resolution":{"observed_at":"2026-08-07T20:36:29.874650Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.854473Z","title":"Kupavskii, Erd˝ os–Ko–Rado type results for partitions via spread approximations,European J","venue":null,"work_id":"37bff309-d532-4abf-93d1-aeb36e41f36f","year":2026},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.642082Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:0b458659f7d506f3ed83948ed60a10fb22a0d2ef0f810d4d603db4f14ee9acd8","observation_id":"a1b4e40c-2d39-4c80-ac3f-3768c5e84492","resolution":{"observed_at":"2026-08-07T20:36:29.859548Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.838863Z","title":null,"venue":null,"work_id":"9e1a424a-3b5e-4e9c-a38a-cf9322aaa4fd","year":2013},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.646981Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:bf050e4f76d64c6de8f955c89897733c4d82b47dae0c37835359c416110d4772","observation_id":"4967a35a-94f0-44a4-8f6a-1af58e42e03a","resolution":{"observed_at":"2026-08-07T20:36:29.843883Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.821880Z","title":"Kupavskii and D","venue":null,"work_id":"c4a5154a-bb62-4dd8-8059-01de81650a8b","year":2024},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.653185Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:13bb649c80bac75651d99a12ac085fe89c69f765f3cc76d378f0a7cf174dfb84","observation_id":"ebb884b0-c1d6-4bd7-8e51-da9821d3fd8a","resolution":{"observed_at":"2026-08-07T20:36:29.827008Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.806560Z","title":"Rao, Coding for sunflowers,Discrete Anal.(2020), Paper No","venue":null,"work_id":"64eb1de8-17af-4492-a786-2a8a85e3529e","year":2020},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.659011Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:f26f4eae49f57004b1023d3a708d71191ce0b11ce5138bb92076c8bf0bd80d2c","observation_id":"fa0457d5-a4c4-44a5-8578-0820a2e3864e","resolution":{"observed_at":"2026-08-07T20:36:29.810958Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.02698","last_updated":"2026-05-04T15:10:08Z","snapshot_observed_at":"2026-08-02T15:04:56.461690Z","submitted_at":"2026-05-04T15:10:08Z","title":"Structure of $t$-Intersecting Families of Vector Spaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.02698","snapshot_observed_at":"2026-08-07T20:36:29.663882Z","title":"Ihringer and A","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.663882Z"},"links":{"cited_paper":"/paper/2605.02698","citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:b304b629c858434f40c4bb827b53a0d6ba4e14f4dcea063da9c134c3116ec9b1","observation_id":"932c91ed-c7bd-41af-8cd0-b535973e8a39","resolution":{"observed_at":"2026-08-07T20:36:29.663882Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.791684Z","title":"Wen and B","venue":null,"work_id":"0df5417b-5fb5-41cf-8965-43b52f5999a5","year":2026},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.669502Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:d3ad0d1336a094b18f8035245042e2a0891cc466a53c248f6ae3ec8ecb752a57","observation_id":"2e5b7f5c-34d1-4cef-b335-7b2330e96d0a","resolution":{"observed_at":"2026-08-07T20:36:29.796530Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.03315","last_updated":"2026-07-03T13:32:48Z","snapshot_observed_at":"2026-08-10T08:11:18.241481Z","submitted_at":"2026-07-03T13:32:48Z","title":"A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability","version":1},"cited_work":{"arxiv_id":"2607.03315","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.03315","snapshot_observed_at":"2026-08-07T20:36:29.722668Z","title":"A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability","venue":"math.CO","work_id":"8d73ae07-3ace-4c04-81fe-93f123fa9914","year":2026},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.674173Z"},"links":{"cited_paper":"/paper/2607.03315","citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:f359282f249a1cdaedcc99ca82a7aa0f84ffa49f75d530b5b2ac8796e895a01f","observation_id":"1ab63400-7ea3-427b-9ce5-34469f7b119f","resolution":{"observed_at":"2026-08-07T20:36:29.730857Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.775686Z","title":"Oxley,Matroid Theory, 2nd ed., Oxford Graduate Texts in Mathematics 21, Oxford University Press, Oxford, 2011","venue":null,"work_id":"87cb875b-a866-4709-8a9f-b149b2883908","year":2011},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.679352Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:3b51f0f7ce1911c14a69c39903eae23e1fd5041239b0c5881bd34b4769c4a8cd","observation_id":"71767ef7-2c07-4500-bfc8-9619a43d52ec","resolution":{"observed_at":"2026-08-07T20:36:29.781103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T20:36:29.759316Z","title":"Whitney, On the abstract properties of linear dependence,Amer","venue":null,"work_id":"45fc23c4-31b9-402c-8ce0-3c0f44beb403","year":1935},"citing_paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T20:36:29.684167Z"},"links":{"citing_paper":"/paper/2608.05951"},"observation_digest":"sha256:3f2c2a3bd933d4f792d87cd82e088088b569c042fd9ecf97615fdbd93efc4df6","observation_id":"56133390-edbe-4258-8f5e-8cf2ccfc1d59","resolution":{"observed_at":"2026-08-07T20:36:29.764691Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.05951","last_updated":"2026-08-06T12:21:18Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-09T23:12:35.505486Z","submitted_at":"2026-08-06T12:21:18Z","title":"Erd\\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":1,"verified_fuzzy":12},"total_outbound_references":18},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2608.05951."}