{"as_of":"2026-08-10T20:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b13dc3d7edb6fce7140b58ef06b4dd3c3f5d16a9b4b7d8b86435bfbc04d7230e","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-02T11:22:42.389812Z","state":"measured"},{"denominator":43,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":43,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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":"2026-07-12T03:20:12.486236Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.00318","snapshot_observed_at":"2026-07-12T03:20:12.486236Z","title":"Keller, A","venue":null,"work_id":null,"year":null},"citing_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},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-12T03:20:12.486236Z"},"links":{"cited_paper":"/paper/2607.00318","citing_paper":"/paper/2607.03315"},"observation_digest":"sha256:5b40754c8d65481984c02d02b1007f7e5f40bf6bef3e28493d6659320e1674d1","observation_id":"52bec6b8-c939-400c-907e-63988aaff3af","resolution":{"observed_at":"2026-07-12T03:20:12.486236Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2607.00318/citation-record","integrity":"/paper/2607.00318/integrity","json":"/paper/2607.00318/citation-record.json","paper":"/paper/2607.00318"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.737268Z","title":"Khachatrian","venue":null,"work_id":"542e8247-1c97-4d3a-bd69-e8aafe9eafdd","year":1996},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:7df0f05197434b31e4af4abaf30b2e2ed47fed6741a5384b8d768ac2a43c1969","observation_id":"de1ee739-cb82-49c2-9c28-fd934082268c","resolution":{"observed_at":"2026-07-06T03:01:53.738489Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.727859Z","title":"Khachatrian","venue":null,"work_id":"6c0f4e43-2b34-4548-953a-3cb4ea6129d5","year":1997},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:12d2164d296b11e131e9d90142234cf5cdea7f4c50b36102fc1fe26dc666a856","observation_id":"2ee0a1de-5569-4121-b5b6-244137a1570a","resolution":{"observed_at":"2026-07-06T03:01:53.729130Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.728106Z","title":"Improved bounds for the sunflower lemma.Ann","venue":null,"work_id":"c3380828-65bf-4bff-93ba-f31e96e0c25f","year":2021},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:45561c609f173e5ab27bcdef00807b87c0327c659bc330741a63c31e039256f0","observation_id":"6a8e99d4-f7d7-4928-bc2f-0d79fe59158a","resolution":{"observed_at":"2026-07-06T03:01:53.729324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.729882Z","title":"Extremal𝑡-intersecting sub-families of hereditary families.J","venue":null,"work_id":"c40d6157-160d-4baa-a8ab-4e5cb97bf6ae","year":2009},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:b17b1388b28f778316ec92cbcb4cedcde6ce2e12dd98fe038baacf19beca66fb","observation_id":"74cdce7d-ba8f-4147-92dc-615abf114cfe","resolution":{"observed_at":"2026-07-06T03:01:53.731104Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.731731Z","title":"Complexity measures and decision tree complexity: a survey.Theor","venue":null,"work_id":"95e6c258-4181-41dd-a336-e28738164ead","year":2002},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:7a939202c4394fa5a5e60074ee32f56a77be253c1ef9cba63f41344e66d33a06","observation_id":"36bafad1-475d-4ef2-9717-202c0e4369aa","resolution":{"observed_at":"2026-07-06T03:01:53.732925Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.721029Z","title":null,"venue":null,"work_id":"2a1b991c-741b-4aab-a642-0ab167b58d85","year":1986},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:21ef4e31a798173b1db5c529760a5545c7cf4d3e4761767d57f5888216286075","observation_id":"f13597a8-bc0f-41d7-bae5-c4f904e0ccb2","resolution":{"observed_at":"2026-07-06T03:01:53.722238Z","resolver_source":"raw_fallback","status":"unresolved"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.713832Z","title":"Cameron and Cheng Y","venue":null,"work_id":"f77358ac-9cb6-4d7a-abe7-dfc87bc7b182","year":2003},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:82fcd245ce571c854abe88cbba7ba133461c14f8cd7a628f9a82c2fb8c78a4d6","observation_id":"5e7fb747-3cb9-47b9-8394-f4de6158f08e","resolution":{"observed_at":"2026-07-06T03:01:53.714989Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.715827Z","title":"Uniqueness for 2-intersecting families of permutations and perfect matchings.Algebraic Combinatorics, 9(2):357–377, 2026","venue":null,"work_id":"f704cbe3-e4ba-4a5a-9ab6-a40015e00d10","year":2026},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:56508c0bfc891a1a46009f2cdaa97bb7aa4563749ad6b0e8cbce778df7ea19e8","observation_id":"596faf6f-38a9-4d17-9176-25c2bfd4489b","resolution":{"observed_at":"2026-07-06T03:01:53.717082Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.710020Z","title":"Exchangeable pairs and Poisson approximation.Probability Surveys, 2:64–106, 2005","venue":null,"work_id":"8b1e1078-a96c-451b-8aeb-4e7ef31387e9","year":2005},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:922083bd16195533c214e92fd79e00fb1fb9d8e433a12ce5b3fdc7047ae57998","observation_id":"478b6588-ec42-4408-a3e6-28f8323f05ff","resolution":{"observed_at":"2026-07-06T03:01:53.711301Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.708190Z","title":"Complexity measures on the symmetric group and beyond (extended abstract)","venue":null,"work_id":"119c2ea6-38b1-4ea3-84f1-518c2addc6ec","year":2021},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:d2386dc82d4f08a6914ff63115262a11a837f5df0427082950482a7e1de69761","observation_id":"7436781c-6775-41e0-98e2-fa86d8480d9d","resolution":{"observed_at":"2026-07-06T03:01:53.709447Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.711832Z","title":"On the hardness of approximating minimum vertex cover.Ann","venue":null,"work_id":"0128686e-e5ab-4be2-9ad4-82aa30ef695f","year":2005},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:3633352b1fd0cba93bf19e6226eb40be8d935beea119e6e76608b6bab431e9e4","observation_id":"769c607e-9e85-4538-8533-8dd2971afc2a","resolution":{"observed_at":"2026-07-06T03:01:53.713273Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.717589Z","title":"Stability for𝑡-intersecting families of permutations.J","venue":null,"work_id":"131dd278-e048-4c90-ad4f-ccbefc7708bd","year":2011},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:952992e2b3906ba9942af7904ef3d5dfb944f5b45f800e264f2a3637215e99ba","observation_id":"5e538fc2-38a2-423d-a015-607ee2e9b10f","resolution":{"observed_at":"2026-07-06T03:01:53.718778Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.722789Z","title":"Triangle-intersecting families of graphs.J","venue":null,"work_id":"147d4a03-a24b-49ac-a07b-9cdaf19ccefe","year":2012},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:a0e453422cdabb93573a7f238f3a2d6b573dc176128e552220b6d6c5cc7599d5","observation_id":"16656c24-bb96-4874-9f02-1c4b2cad076e","resolution":{"observed_at":"2026-07-06T03:01:53.724004Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.724560Z","title":"Intersecting families of permutations.J","venue":null,"work_id":"5caa5b13-3bde-4242-be1b-d61805354037","year":2011},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:c2357e9983e6418829beb9a037b4b3387155e49a3ccb3e4751954c4ae6d153b8","observation_id":"18882c84-a146-49c4-841c-0a967dd80ae0","resolution":{"observed_at":"2026-07-06T03:01:53.725734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.719277Z","title":"Stability versions of Erd˝ os-Ko-Rado type theorems via isoperimetry.J","venue":null,"work_id":"1b51a1b8-2cef-49be-a890-323678d986e2","year":2019},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:b477272a4a1fcf525a968229ad72d50b4e077c31c7b6981c7c423b9ebc2c5810","observation_id":"c1d36188-ef99-4699-9ae0-96611009b002","resolution":{"observed_at":"2026-07-06T03:01:53.720477Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.739099Z","title":"Stability for the complete intersection theo- rem, and the forbidden intersection problem of Erd˝ os and S´ os.J","venue":null,"work_id":"e3103860-a12b-45bf-bce6-37203e6ccf48","year":2024},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:e7f5bab69bbafe1117cb15a34d4346d5a72688398bae3a8e0274068115240eb1","observation_id":"7c56140f-2262-4c64-928e-9e4c411ef5a4","resolution":{"observed_at":"2026-07-06T03:01:53.740526Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.706385Z","title":"Forbidden intersection problems for families of linear maps.Discrete Analysis, 19:1–32, 2023","venue":null,"work_id":"39862b9c-86a8-425a-8c3d-2cd15d67af0d","year":2023},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:70408639a35d0a3589ac83dd146826beb6daf78f34b7e0d0c62bec3ea561befa","observation_id":"c71575fc-a91d-45f4-8f00-ae46f80b0615","resolution":{"observed_at":"2026-07-06T03:01:53.707625Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.715628Z","title":"Approximation by juntas in the symmetric group, and for- bidden intersection problems.Duke Math","venue":null,"work_id":"a744b8a4-13fa-4406-b670-af430daf9844","year":2022},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:d715fc0228f464e5a1cf10063092e9f9e27eba60fb3dca6043de2dde47ae7ddf","observation_id":"7f5f7d52-31bf-4a9d-a1ae-4e7d2b59ed2c","resolution":{"observed_at":"2026-07-06T03:01:53.717295Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.688418Z","title":"Intersection theorems for systems of finite sets","venue":null,"work_id":"2f27e5af-b11b-4c0a-9b4e-34768e0c70ed","year":1961},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:75b5bd3a644b76080bfb9155524f56e4ef2be44e621f7b4f1907b20ffafd73d2","observation_id":"28979180-40ba-4e5e-bfbd-2ecda228cf56","resolution":{"observed_at":"2026-07-06T03:01:53.689739Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.684622Z","title":"The Erd˝ os-Ko-Rado theorem is true for𝑛=𝑐𝑘𝑡","venue":null,"work_id":"ac5277e1-6d32-49c0-becf-de3bba6a1393","year":1976},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:51fa2c826c97025e35db8130aacb31d0e09ebfa56e6182def805bf5005c36431","observation_id":"7623cbf2-cbf2-4440-81e5-538903a533d9","resolution":{"observed_at":"2026-07-06T03:01:53.685825Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.696825Z","title":"Erd˝ os-Ko-Rado theorem with conditions on the maximal degree.J","venue":null,"work_id":"e2e0d86b-6f4b-4763-8d92-aa2e693875f7","year":1987},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:1c51bd4845c68a06644627349a5dd0d9ed99803b3ad9d69df24dc77787e4705c","observation_id":"e39187a7-a779-4b6c-b2ff-4f864f9b7f03","resolution":{"observed_at":"2026-07-06T03:01:53.698045Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.694387Z","title":"On the maximum number of permutations with given maxi- mal or minimal distance.J","venue":null,"work_id":"72121e25-8658-4036-a4e1-e638fe67ba88","year":1977},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:3880bde40115e6cb6efa103d1e130bc8e608e10d8d216661a2882a60cea597f5","observation_id":"32ca5078-e7b9-4734-8546-f2df598bae4b","resolution":{"observed_at":"2026-07-06T03:01:53.696212Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.684395Z","title":"Beyond the Erd¨ os-Ko-Rado theorem.J","venue":null,"work_id":"76b680d3-87a9-47b8-b25f-1b4a12f359a6","year":1991},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:1bd1b906a5baffe952e4e8bc25c97f952cdfe8f503287f3ce8e68eb13eeb1219","observation_id":"5eba75cc-c55e-4573-acc0-5385d8ad4d49","resolution":{"observed_at":"2026-07-06T03:01:53.686123Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.682684Z","title":null,"venue":null,"work_id":"a3320fba-8520-4813-87dd-3ce69091d8e4","year":1985},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:277f84281fd94b0c73be110fbb21a61847336f91f1382b6eae821c92898a9485","observation_id":"4f41d6bf-f263-40ef-9176-749008b04b3e","resolution":{"observed_at":"2026-07-06T03:01:53.683973Z","resolver_source":"raw_fallback","status":"unresolved"},"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"}},{"citation":{"cited_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},"cited_work":{"arxiv_id":"2502.06699","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.06699","snapshot_observed_at":"2026-07-03T12:38:07.955810Z","title":"Frankl, A","venue":null,"work_id":"65ef69ae-e6c2-412f-937d-0517a2c42e4d","year":2025},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"cited_paper":"/paper/2502.06699","citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:00a4177ab2b087696251b255d5004cd274abf01e9835825c718cbc51c5e4f81f","observation_id":"0f29b95c-8de7-4255-a630-85490d2e2d1d","resolution":{"observed_at":"2026-07-02T11:26:53.699376Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.698584Z","title":"Invitation to intersection problems for finite sets.J","venue":null,"work_id":"b1fbb02f-ebea-46b1-a6be-a5edc4a050fd","year":2016},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:4dba5744c711cc6774204fb6896efef461c4ff9fa224f3babebfa90ba4003989","observation_id":"ab47b399-f895-485b-a005-20bff8125e0e","resolution":{"observed_at":"2026-07-06T03:01:53.699875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.676377Z","title":"On the measure of intersecting families, uniqueness and stability.Combina- torica, 28(5):503–528, 2008","venue":null,"work_id":"8a42c397-04b5-4492-850b-b12880a3a294","year":2008},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:8a03d96649ad795e64b86d73288b0485a6e679358772f8ef92e98db89832618e","observation_id":"4757cb7e-cbf5-44f9-929b-83b13073d4c1","resolution":{"observed_at":"2026-07-06T03:01:53.677583Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.704419Z","title":null,"venue":null,"work_id":"d6989346-1eb4-4119-8e38-dd8dcb3ee9cd","year":1967},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:ab3bf4328711bd0e71532a20c522d605d9dfe472d10152572f4216947906dc29","observation_id":"f78e2aa4-3206-4097-85b6-28a3aba4b6fd","resolution":{"observed_at":"2026-07-06T03:01:53.705796Z","resolver_source":"raw_fallback","status":"unresolved"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.702406Z","title":"Hypercontractivity for global functions and sharp thresholds.J","venue":null,"work_id":"78092825-9a90-4f4b-8f27-bcabda95713d","year":2024},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:4d2fd526d73c6e841d34f7f89e2988c9227f8c00195fe053b2eea58034c99324","observation_id":"232f4c22-7817-43d0-bbb3-d292c6a1a0c7","resolution":{"observed_at":"2026-07-06T03:01:53.703788Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.674295Z","title":"The junta method for hypergraphs and the Erd˝ os-Chv´ atal simplex conjecture.Adv","venue":null,"work_id":"4bc5972a-818d-4d2c-8cd9-7dca42a754bd","year":2021},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:9815f84faab1da331c34034b4c38fe6baa182e0df3640b6ed3b130598277f8c5","observation_id":"73664e34-b1fa-4b92-94d6-3b4d6f23f043","resolution":{"observed_at":"2026-07-06T03:01:53.675618Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.723843Z","title":"On t-intersecting families of permutations.Advances in Mathematics, 445:109650, 2024","venue":null,"work_id":"441917ba-cded-4f5e-8a56-cdb8458f13b2","year":2024},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:314fe6a9a66429ff4e6960ee036edda82f92a3cb2252556c4c7f75280b90cd3f","observation_id":"304dfe15-a5af-4441-88bf-ab3645e97ca0","resolution":{"observed_at":"2026-07-06T03:01:53.725397Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_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},"cited_work":{"arxiv_id":"2508.20132","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.20132","snapshot_observed_at":"2026-07-03T11:58:06.492069Z","title":"Kupavskii,Delta-system method: a survey","venue":null,"work_id":"e2f62c33-6bef-4c7d-bfce-592ce301b0d9","year":2025},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"cited_paper":"/paper/2508.20132","citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:d31d4a748a664e55ec3b26efd1c043f11ead95a29be6fd2a20f017361d352c26","observation_id":"25f49c9e-9704-49fe-af59-516cf34f1c02","resolution":{"observed_at":"2026-07-02T11:26:53.693180Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":{"arxiv_id":"2311.02246","last_updated":"2023-11-03T21:29:30Z","snapshot_observed_at":"2026-08-10T19:44:03.492219Z","submitted_at":"2023-11-03T21:29:30Z","title":"Intersection theorems for uniform subfamilies of hereditary families","version":1},"cited_work":{"arxiv_id":"2311.02246","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2311.02246","snapshot_observed_at":"2026-07-03T12:38:07.945508Z","title":"Kupavskii, Intersection theorems for uniform subfamilies of hereditary families","venue":null,"work_id":"73300779-a5d1-4fee-a2bb-0b3faab3cd5f","year":2023},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"cited_paper":"/paper/2311.02246","citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:8ca0001b842efa34d4d03f8bf1017e996bdb1af6a6db49d08b5cc0eeaba77686","observation_id":"c2b97e60-d96a-4057-930c-126453f3f3cc","resolution":{"observed_at":"2026-07-02T11:26:53.706577Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":{"arxiv_id":"2405.07843","last_updated":"2024-05-13T15:31:36Z","snapshot_observed_at":"2026-07-06T18:13:38.207884Z","submitted_at":"2024-05-13T15:31:36Z","title":"An almost complete $t$-intersection theorem for permutations","version":1},"cited_work":{"arxiv_id":"2405.07843","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.07843","snapshot_observed_at":"2026-07-02T11:26:53.699885Z","title":"An almost complete𝑡-intersection theorem for permutations.arXiv preprint arXiv:2405.07843, 2024","venue":null,"work_id":"1ba95ca2-3d1d-411a-98e4-bd789dc8d93b","year":2024},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"cited_paper":"/paper/2405.07843","citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:0fb9424da0e39542cca9f7a64c5afbe0d67052aace0335fe100c3838734402bf","observation_id":"175aca16-c987-4320-87b8-ba47906989be","resolution":{"observed_at":"2026-07-02T11:26:53.701482Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.686467Z","title":"Erd˝ os-Ko-Rado type results for partitions via spread approximations.Eur","venue":null,"work_id":"45615ed5-9e3f-4e5c-9334-4281c2c6ef2c","year":2026},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:c3675507b634443838f869de32a6f27f867d299defa640211fb78fdaf412e5e4","observation_id":"be060359-0737-4c84-99d7-081c8631707d","resolution":{"observed_at":"2026-07-06T03:01:53.687773Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.690379Z","title":"Spread approximations for forbidden intersections problems.Advances in Mathematics, 445:109653, 2024","venue":null,"work_id":"f7035a90-1344-4135-8709-10a719110085","year":2024},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:9fd3d028202e29fed7c507a4400cbf6abecf35d5b483605ad5697a61cc2a5565","observation_id":"07a8cc4d-699d-4078-b813-6709b017d839","resolution":{"observed_at":"2026-07-06T03:01:53.691787Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.692588Z","title":"Stable sets of maximal size in Kneser-type graphs","venue":null,"work_id":"501c1623-056e-406b-8db8-3111350a2beb","year":2004},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:d9ec1d1bb60ade79c6f36a90557208d7fecf4651b90f7fafe52bed53578652e7","observation_id":"b7141026-b8c0-4263-97b3-d134d5c0f3d4","resolution":{"observed_at":"2026-07-06T03:01:53.693818Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.700593Z","title":"Electron","venue":null,"work_id":"7e1a41c3-1590-4e82-9e0f-194a28b1e8fd","year":2005},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:26dcdf583d123d50f0f3b141b54583b920420adcdfd33963a011424386563668","observation_id":"d2053939-b59a-47bc-baf0-b6149f4cd695","resolution":{"observed_at":"2026-07-06T03:01:53.701785Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.733533Z","title":"The Erd˝ os-Ko-rado theo- rem for 2-pointwise and 2-setwise intersecting permutations.Electron","venue":null,"work_id":"b706730d-683a-4f26-9d9e-0a57469cf9a1","year":2021},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:60448c7e6e35f34011f5bde1a9f0cdcb90d4738a0eedac9d2c1f8c6a4fee24d5","observation_id":"e32dc538-a208-45eb-99ad-7abaa40245ee","resolution":{"observed_at":"2026-07-06T03:01:53.734810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":{"arxiv_id":"2605.26051","last_updated":"2026-05-25T17:12:19Z","snapshot_observed_at":"2026-07-06T23:35:55.988443Z","submitted_at":"2026-05-25T17:12:19Z","title":"Extremal $t$-intersecting Families of Permutations for Large $t$","version":1},"cited_work":{"arxiv_id":"2605.26051","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.26051","snapshot_observed_at":"2026-07-02T11:26:53.700665Z","title":"Extremal $t$-intersecting Families of Permutations for Large $t$","venue":"math.CO","work_id":"13bb636b-9253-4907-b05b-01c64ad3a4bb","year":2026},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"cited_paper":"/paper/2605.26051","citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:04a5a5f4c10f9475a8cce2ddcfce6522c3ebcbbaaba2a530b7e96ee9112920d3","observation_id":"598995aa-e1e0-4b36-b057-849926efecb7","resolution":{"observed_at":"2026-07-02T11:26:53.702264Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.670374Z","title":"The sunflower lemma via shannon entropy.https://terrytao.wordpress.com/ 2020/07/20/the-sunflower-lemma-via-shannon-entropy/, 2020","venue":null,"work_id":"c15c2267-4bba-4a10-9371-310449e2ed66","year":2020},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:5944c7aadf957501c291427824e26e9ce6bc8aa547b1af3b0e6fa3ba520bc3f0","observation_id":"5bf772ec-3ccc-4c77-9244-843625478fd4","resolution":{"observed_at":"2026-07-06T03:01:53.671588Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T03:01:53.735387Z","title":null,"venue":null,"work_id":"ff9d3364-4700-4996-aaa5-c1eeb82661ff","year":1984},"citing_paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-02T11:22:42.389812Z"},"links":{"citing_paper":"/paper/2607.00318"},"observation_digest":"sha256:d5a1b581e358f5c9e206cc4c7ada767f061b63bbddaa11f4910f9799ee2d4d15","observation_id":"d6b853c4-6268-4ee8-9f96-4f43a3bbc8ad","resolution":{"observed_at":"2026-07-06T03:01:53.736631Z","resolver_source":"raw_fallback","status":"unresolved"},"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"}}],"paper":{"arxiv_id":"2607.00318","last_updated":"2026-07-01T01:34:02Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-07-07T00:05:59.073754Z","submitted_at":"2026-07-01T01:34:02Z","title":"A Complete Intersection Theorem for Large Permutation Groups"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":4,"verified_exact":4,"verified_fuzzy":33},"total_outbound_references":42},"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 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2607.00318."}