{"as_of":"2026-08-09T02:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a2654e3f90c000bfc0f999d494d6827cc906abf24d22f2a5dae92729e949c09c","coverage":[{"denominator":56,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":56,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:37:44.184421Z","state":"measured"},{"denominator":58,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":58,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T13:55:56.750389Z","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":"2026-06-29T19:23:53.996601Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"cited_work":{"arxiv_id":"2507.05437","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.05437","snapshot_observed_at":"2026-06-29T19:23:53.996601Z","title":"Higher S egal spaces and partial groups","venue":null,"work_id":"d525a2c0-4c90-4d68-a23a-564d7cd6ab5a","year":null},"citing_paper":{"arxiv_id":"2605.26199","last_updated":"2026-07-07T16:57:27Z","snapshot_observed_at":"2026-08-06T11:04:02.536094Z","submitted_at":"2026-05-25T17:12:46Z","title":"On partial groups of small order","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-06-29T19:18:30.555799Z"},"links":{"cited_paper":"/paper/2507.05437","citing_paper":"/paper/2605.26199"},"observation_digest":"sha256:46737f6020f8d0d85d5274791876d59f09d8f00d821f9954fe9c4f8c3bf26a3c","observation_id":"36f96cde-2e2d-4dcb-8718-0b17284f4b63","resolution":{"observed_at":"2026-06-29T19:23:53.998135Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.05437","snapshot_observed_at":"2026-07-31T13:55:56.750389Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.24476","last_updated":"2026-07-27T14:13:55Z","snapshot_observed_at":"2026-08-08T13:38:37.164151Z","submitted_at":"2026-07-27T14:13:55Z","title":"Coskeletality and the higher Segal conditions","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-31T13:55:56.750389Z"},"links":{"cited_paper":"/paper/2507.05437","citing_paper":"/paper/2607.24476"},"observation_digest":"sha256:9b93a2ef783d61eb6ea9b17f0d11cb4af10ff72165328324cf7ddbb347e5533c","observation_id":"8827806f-8df8-4cbc-ade9-28130a589851","resolution":{"observed_at":"2026-07-31T13:55:56.750389Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2507.05437/citation-record","integrity":"/paper/2507.05437/integrity","json":"/paper/2507.05437/citation-record.json","paper":"/paper/2507.05437"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:37:45.409848Z","title":null,"venue":null,"work_id":"b630de37-3408-4cf7-8c35-430a297e7ca5","year":2003},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.859790Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:ffe4ce888fc67e60b6835c57ec58d82e8a8db064b0d23d0ea935907ec9eff516","observation_id":"fad2d4a9-75c4-4185-8ac7-bb5739931153","resolution":{"observed_at":"2026-08-06T19:37:45.415581Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.392212Z","title":null,"venue":null,"work_id":"472ae1ee-8059-4a03-a452-0dfa2b8cfc63","year":1997},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.866233Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:dab2264ef845290f3722d9dfd5ef66fc1cc2f3ba66acbbed6c2585f50a275af9","observation_id":"a396c709-76ea-4d61-a99b-0f87f95002e4","resolution":{"observed_at":"2026-08-06T19:37:45.397427Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.03457","last_updated":"2021-05-07T18:14:06Z","snapshot_observed_at":"2026-07-06T11:07:21.848674Z","submitted_at":"2021-05-07T18:14:06Z","title":"An extension theory for partial groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.03457","snapshot_observed_at":"2026-08-06T19:37:43.873240Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.873240Z"},"links":{"cited_paper":"/paper/2105.03457","citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:4cee89b04230aa00675299b03090b4587ba1a58207860f76976d14ab97fd904f","observation_id":"02e468d6-2341-440f-a500-e2431e2740cb","resolution":{"observed_at":"2026-08-06T19:37:43.873240Z","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":"2026-08-06T19:37:45.374387Z","title":null,"venue":null,"work_id":"a60c3bc2-9c35-4fba-83ab-0b1f7506c675","year":2007},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.881552Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:6bf501507086c85c555f0fcce18db38ebd5eb212f5b7edfd17850b04b510faa1","observation_id":"1a24fef6-9ff7-455e-8fba-3b45b6e1860e","resolution":{"observed_at":"2026-08-06T19:37:45.381124Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.356224Z","title":"Bergner, Ang\\' e lica M","venue":null,"work_id":"6052b95b-a87e-4333-9030-172fe079e130","year":2018},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.889052Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:ea3c36b6b33d5298a9f764cfca94d5bc3c3dfb9e2651e82e2f0e2325ed16e439","observation_id":"cbab6162-2cd6-40c4-9892-81434373a511","resolution":{"observed_at":"2026-08-06T19:37:45.361325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:37:43.895720Z","title":"C hapters 4--6 , Elements of Mathematics (Berlin), Springer-Verlag, Berlin, 2002, Translated from the 1968 French original by Andrew Pressley","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.895720Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:048ec0f73f53d5e9a42859c56dd2d396db6866fabdf534bbbc3b32ffa4af3752","observation_id":"79cb1243-b19f-4973-aa13-f2a13c151ea6","resolution":{"observed_at":"2026-08-06T19:37:43.895720Z","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":"2026-08-06T19:37:45.329056Z","title":"Discrete Math","venue":null,"work_id":"f21fb0a5-9c0c-4873-8ed1-cba1474f8355","year":2016},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.900865Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:91f2357efc55df798e079af5f61fe12d3b257f5158e3baab90f3f493e8b54fd9","observation_id":"abc22087-977a-4a70-a1b9-fc9793e5001f","resolution":{"observed_at":"2026-08-06T19:37:45.333950Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1702.02595","last_updated":"2022-03-22T19:25:17Z","snapshot_observed_at":"2026-08-08T23:11:08.012330Z","submitted_at":"2017-02-08T19:45:14Z","title":"Discrete Localities I","version":4},"cited_work":{"arxiv_id":"1702.02595","doi":null,"metadata_source":"pith","pith_arxiv_id":"1702.02595","snapshot_observed_at":"2026-08-06T19:37:44.545881Z","title":"Discrete Localities I","venue":"math.GR","work_id":"e755ef25-1fa0-4f56-8088-ac7ab819e3fa","year":2017},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.906470Z"},"links":{"cited_paper":"/paper/1702.02595","citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:bd390368a8396d3fe7a7f4e2820a88d12e5a9993a37c9ca98523e59a5a009bb8","observation_id":"33cfe76c-6772-4ecd-afca-53aafbc87bda","resolution":{"observed_at":"2026-08-06T19:37:44.551104Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.309329Z","title":null,"venue":null,"work_id":"a3f77c9f-fc2e-4f1d-945a-2ecb04d22984","year":2022},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.912692Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:c6ccc18a601d677dd59388324ecb794962c3b6bd06254be63f2feb6b95da1665","observation_id":"0a8ad062-2c5c-4a7f-ae46-e3e239fe3142","resolution":{"observed_at":"2026-08-06T19:37:45.315305Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.283292Z","title":"211 (2013), no","venue":null,"work_id":"657fe52f-54cf-467b-8f05-57c7e95687a6","year":2013},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.917779Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:ea7c7b27ef6c5503fbd4f72ab96ff67313b537e4c9e766d89ad5a511e2ad8bca","observation_id":"36715d9e-39ab-4a1c-9e56-db6fa299497e","resolution":{"observed_at":"2026-08-06T19:37:45.291745Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.259439Z","title":"Sigma 10 (2022), Paper No","venue":null,"work_id":"77ab3286-72b3-4a3e-bda6-4983980e00f0","year":2022},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.922642Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:6bcc4a12df370a6a66bde2359dd19100d627aec176f957bed95b543e6b502749","observation_id":"3726a789-4922-4776-85b4-c5d33ddf2914","resolution":{"observed_at":"2026-08-06T19:37:45.266942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.238679Z","title":null,"venue":null,"work_id":"7e5b31b0-0a43-4cc6-870b-e9c58994e245","year":2019},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.927649Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:58795b35809aa1f454ded09005ebf4a6e6f46045fa64fbd4ed72ff84b5e7e6be","observation_id":"38af8eca-a91f-4cec-b305-d76cb07f8b28","resolution":{"observed_at":"2026-08-06T19:37:45.245071Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.218105Z","title":"2244, Springer, Cham, 2019","venue":null,"work_id":"75030ded-d272-490c-8883-8b06943569a2","year":2019},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.932778Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:b545fb9347539760bcb68f65edcf2a5e0ec54de459dbfb941f1d7857b2f54436","observation_id":"425adbd5-56b5-41ad-a8ee-06a5e474ce40","resolution":{"observed_at":"2026-08-06T19:37:45.223702Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.197032Z","title":"Reay, and Gerard Sierksma, A T verberg-type generalization of the H elly number of a convexity space , J","venue":null,"work_id":"a6f6f2dd-ddb5-4083-8f93-6c5a9d066a9f","year":1981},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.937729Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:8608926f94bd41ba06b37c7c20dfe2f3e07bbd2d0f5872a527668a1cc2b471c2","observation_id":"d95fb450-06e5-4da1-bda4-01b3d1b73c62","resolution":{"observed_at":"2026-08-06T19:37:45.204908Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.02051","last_updated":"2025-05-13T15:43:58Z","snapshot_observed_at":"2026-08-07T15:56:39.941205Z","submitted_at":"2025-05-04T10:00:04Z","title":"Cyclic polytopes, orientals, and correspondences: some aspects of higher Segal spaces","version":2},"cited_work":{"arxiv_id":"2505.02051","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.02051","snapshot_observed_at":"2026-08-06T19:37:44.524063Z","title":"Cyclic polytopes, orientals, and correspondences: some aspects of higher Segal spaces","venue":"math.AT","work_id":"9e31a2aa-8adb-4990-aebf-296ad67348bd","year":2025},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.942836Z"},"links":{"cited_paper":"/paper/2505.02051","citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:191f6fc6dad2a4035e20b6574f00b21dfb5dca25a55f6bb8e8270710373cfd50","observation_id":"ba498f7f-d5b8-4358-a6f3-8a615d1f24bd","resolution":{"observed_at":"2026-08-06T19:37:44.529380Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.178496Z","title":"Edelman and Robert E","venue":null,"work_id":"cc962ff1-2d4b-49af-b3c7-28e6d6c12200","year":1985},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.948116Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:efc48dd8b02b4462b3805ce483b8dd46f9a45de1e7c77949a740cec0d75f0213","observation_id":"baa17cff-988e-4263-8639-305ecd57e780","resolution":{"observed_at":"2026-08-06T19:37:45.185482Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.158110Z","title":null,"venue":null,"work_id":"077208d1-544d-4157-a1db-4ce29c4012ef","year":1998},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.953702Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:81da0a2031cb60b01183c24244abaa3a8a45434a9ad42c7ab0a0f5eabf9f3c52","observation_id":"9ea5571c-4a77-487a-b231-278aa13d97cf","resolution":{"observed_at":"2026-08-06T19:37:45.163209Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.138165Z","title":null,"venue":null,"work_id":"7fba4fdb-0ae0-4d75-8891-5d397421b78e","year":2018},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.960087Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:736ea1d8eb01f026d7563b3acdf799751f64dc5aa027046adde8de188b5bd434","observation_id":"7d849c5c-e0e4-40b2-9db0-3ea0e580cf21","resolution":{"observed_at":"2026-08-06T19:37:45.144682Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.03376","last_updated":"2019-07-16T15:50:08Z","snapshot_observed_at":"2026-07-06T07:51:45.105279Z","submitted_at":"2019-05-08T22:18:12Z","title":"Higher Segal spaces and Lax $\\mathbb{A}_\\infty$-algebras","version":2},"cited_work":{"arxiv_id":"1905.03376","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.03376","snapshot_observed_at":"2026-08-06T19:37:44.498514Z","title":"Higher Segal spaces and Lax $\\mathbb{A}_\\infty$-algebras","venue":"math.AT","work_id":"d30c83a2-5fb7-4a71-8d6f-c05a42887c60","year":2019},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.966903Z"},"links":{"cited_paper":"/paper/1905.03376","citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:e8dafb62034b3803684d6e8fcca21204fd60bdcb8941dff9386f43887b51b1e1","observation_id":"befcbc24-eb25-42e5-a501-b403b453644f","resolution":{"observed_at":"2026-08-06T19:37:44.505530Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.117119Z","title":"N umber 3","venue":null,"work_id":"93db0661-033c-44ce-9b5f-fd9a676975ee","year":1998},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.973977Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:710749220a27190b22cef5a863f975638651c84609954a176d26004e79c70d6f","observation_id":"ae3e072a-880d-418e-9d1f-2d1d1866bf84","resolution":{"observed_at":"2026-08-06T19:37:45.123244Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1507.04392","last_updated":"2015-09-02T23:33:19Z","snapshot_observed_at":"2026-07-06T04:23:59.000858Z","submitted_at":"2015-07-15T20:48:50Z","title":"An extension theory for partial groups and localities","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1507.04392","snapshot_observed_at":"2026-08-06T19:37:43.980270Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.980270Z"},"links":{"cited_paper":"/paper/1507.04392","citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:efb1dc19ba551088d6adca37178aa390388e57e2eb92821f19307e5f6c0b899f","observation_id":"391ae2e5-6051-40e1-ac92-69fd2a822784","resolution":{"observed_at":"2026-08-06T19:37:43.980270Z","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":"2026-08-06T19:37:45.099050Z","title":"Goodwillie, Calculus","venue":null,"work_id":"8449113a-1f38-4908-bd8c-7976b365bd20","year":1991},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.987964Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:7584bf889aef20a4b22d88c778ed736a13952c78eb030d9aeb88e463188dd1df","observation_id":"b28f29b5-92aa-48e4-b2c7-cd4000bb30fc","resolution":{"observed_at":"2026-08-06T19:37:45.104106Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.077184Z","title":"6, Soci\\'et\\'e math\\'ematique de France, 1961, talk:212 (fr)","venue":null,"work_id":"5c5d22c5-00d3-48a0-a65d-cc5952764549","year":1960},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:43.995100Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:dc514aa893a0a994bde1535183be31665cfe0491282704ebd5e24be769588e6c","observation_id":"3871f70e-2b47-486a-99d2-c9bb05e3cf51","resolution":{"observed_at":"2026-08-06T19:37:45.083099Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.055019Z","title":"Reine Angew","venue":null,"work_id":"4efca18f-9bb5-4145-bfca-d33aeafd8508","year":2018},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.001588Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:c2842086b76a5528fda4447ae4089143ceb6dcd1b53ff330f2ecf127d4d5a70b","observation_id":"0a134e93-4dd2-4c60-99e8-268c7629c9b4","resolution":{"observed_at":"2026-08-06T19:37:45.063129Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.19061","last_updated":"2025-05-09T18:14:16Z","snapshot_observed_at":"2026-08-03T10:38:16.956704Z","submitted_at":"2024-09-27T18:00:51Z","title":"The decomposition space perspective","version":2},"cited_work":{"arxiv_id":"2409.19061","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.19061","snapshot_observed_at":"2026-08-06T19:37:44.451181Z","title":"The decomposition space perspective","venue":"math.AT","work_id":"a00f0c5f-00a3-41ff-9c01-79fceb36f9d1","year":2024},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.007332Z"},"links":{"cited_paper":"/paper/2409.19061","citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:65e1667008065fca233055759d1aaa27a445866a666572d80f7e1296edd474aa","observation_id":"81c31ea2-3d27-4c97-b396-3a3ae3fe6b8a","resolution":{"observed_at":"2026-08-06T19:37:44.456930Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.037538Z","title":"21, Oberwolfach Rep., no","venue":null,"work_id":"423810d4-e84c-49e1-94d3-cb15d9d996ca","year":2024},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.014590Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:ae0dc8eb694ee03e41731f99162da9f464ef7865857115c5ecf906983b592f82","observation_id":"57d3a0c4-205c-4e0a-acf1-6eedef257e2d","resolution":{"observed_at":"2026-08-06T19:37:45.043049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.14304","last_updated":"2025-08-26T02:16:14Z","snapshot_observed_at":"2026-08-07T00:15:43.194477Z","submitted_at":"2025-06-17T08:30:45Z","title":"Partial Group Symmetry in Figures I: Semidirect Products and the Six Coins","version":2},"cited_work":{"arxiv_id":"2506.14304","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.14304","snapshot_observed_at":"2026-08-06T19:37:44.422626Z","title":"Partial Group Symmetry in Figures I: Semidirect Products and the Six Coins","venue":"math.GR","work_id":"8a9d52b2-e8cf-4ffe-b955-f942254444e7","year":2025},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.019900Z"},"links":{"cited_paper":"/paper/2506.14304","citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:6b027b33a937d694ce036366d0942c19e4fbab1de4d6a572b211190c1507087d","observation_id":"e25a98b7-5c23-439f-a7e0-f50f669d7db1","resolution":{"observed_at":"2026-08-06T19:37:44.428452Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.00955","last_updated":"2021-08-10T18:59:16Z","snapshot_observed_at":"2026-07-06T10:45:35.740727Z","submitted_at":"2021-03-01T12:31:24Z","title":"Commuting partial normal subgroups and regular localities","version":3},"cited_work":{"arxiv_id":"2103.00955","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.00955","snapshot_observed_at":"2026-08-06T19:37:44.398963Z","title":"Commuting partial normal subgroups and regular localities","venue":"math.GR","work_id":"e0a93362-b2b6-4a21-99ff-656c4507b495","year":2021},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.026060Z"},"links":{"cited_paper":"/paper/2103.00955","citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:412eede87dce91e1ff6368af0ff3c6e619bd7bbfcb278943961d5fcef33d5bf8","observation_id":"92ef4071-3c13-4252-8e33-2236a0d9b57b","resolution":{"observed_at":"2026-08-06T19:37:44.405198Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:45.019525Z","title":"Pure Appl","venue":null,"work_id":"3b3363e8-f8f0-4cb2-92f5-80b269a1e07b","year":2025},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.031203Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:d64f4d4ab4b73a4fc530a82ec3a21ea208b7fee2031ffd120b4548b37834aa36","observation_id":"eca48e80-4294-4989-84bb-dd15a3e2e792","resolution":{"observed_at":"2026-08-06T19:37:45.025450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.999766Z","title":"London Math","venue":null,"work_id":"a4e36d20-2a76-4318-bd6a-e41f85efa056","year":2023},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.036882Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:0a2cc46639bbdbdf05f6d423034e79377bba25e9ea808ba11b2c561e21662b4f","observation_id":"cddd98f8-4a8f-4a5a-999c-d3ab78c59a32","resolution":{"observed_at":"2026-08-06T19:37:45.006793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2406.19854","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:37:44.367210Z","title":null,"venue":null,"work_id":"5e5d9ba0-a038-40fa-bba7-e1a0c06b979f","year":null},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.043371Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:8882ca23047d419bd1011f2acf2018650c7a5c3eb3dc01f000972f4ef8c5345e","observation_id":"e12c2af8-711e-48a0-bb72-77ef2afb13c4","resolution":{"observed_at":"2026-08-06T19:37:44.376850Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.976512Z","title":null,"venue":null,"work_id":"6a8cf89d-0d17-4d7d-82c6-c9049864db41","year":1978},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.049503Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:73fe3129066bb4737121940d2d567c50cc151f69bee2e287a42d72c0a3584efa","observation_id":"4fdaf086-9cd0-435a-9534-e898ad2cf8f0","resolution":{"observed_at":"2026-08-06T19:37:44.983231Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.955645Z","title":"Humphreys, Reflection groups and C oxeter groups , Cambridge Studies in Advanced Mathematics, vol","venue":null,"work_id":"2446b1ec-939b-4d41-a340-b1f1fe9e8adc","year":1990},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.054503Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:8ba5d532ef6001cc5e47f8391e0cad28cdffbf4da134e7e8828683d1e6dbc413","observation_id":"1b3a15c9-16bd-4286-9c22-d984f1d35fe3","resolution":{"observed_at":"2026-08-06T19:37:44.961533Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.936660Z","title":"II , Lecture Notes in Mathematics, vol","venue":null,"work_id":"a4e73963-db4b-46be-b823-3a491bba2c47","year":1972},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.060092Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:27be4e85d8f035cf1330ce8d21113e53a4dd97c5b9061d2a96f58b34656e168d","observation_id":"816b6a00-7165-4a2d-83e2-682f39a3c67a","resolution":{"observed_at":"2026-08-06T19:37:44.942162Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.920344Z","title":"Jamison-Waldner, Partition numbers for trees and ordered sets, Pacific J","venue":null,"work_id":"1a9daa14-ff60-4322-927b-d00166df29d9","year":1981},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.066833Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:089a99426fc20b1b5d1476c67890b2d8b83a33b348dc0612520d9c678cab173d","observation_id":"e82c2a11-b8eb-4b01-8ae0-393ce2fc8f71","resolution":{"observed_at":"2026-08-06T19:37:44.925493Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.904228Z","title":"Kellendonk and Mark V","venue":null,"work_id":"fdb90fca-7f36-4f0b-8440-66cd2b5a787d","year":2004},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.071881Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:3a09c4ecb08cab5b95a604839fc37d6a23151dea158c0b599a2a58d6b2218e38","observation_id":"a5792f49-d17c-4e44-a834-eab165fc2ae1","resolution":{"observed_at":"2026-08-06T19:37:44.909393Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:37:44.077086Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.077086Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:70d7e40eada357658e1914bd725d5d47c5a8373a21253542830c2ae1b0e7e864","observation_id":"dbffd8ff-5cef-4cd3-a565-fb285f097c4f","resolution":{"observed_at":"2026-08-06T19:37:44.077086Z","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":"2026-08-06T19:37:44.875175Z","title":null,"venue":null,"work_id":"bcf07235-4e5a-47a5-9239-695c81afc410","year":2025},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.084426Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:887fa245b28cf6749fc177a4bf39505b30cdf2904cce99e781dde114a1fc6732","observation_id":"28d85782-9bce-4158-ad46-2762f784a25c","resolution":{"observed_at":"2026-08-06T19:37:44.881176Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.856866Z","title":"22, 2025","venue":null,"work_id":"f465bbdb-78c5-4abd-93ee-864ba175afb3","year":2025},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.091778Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:4de8f9d1cbd758d8b3850fb1b9483d88b44d5a5470ef64d209e7e6986309f3aa","observation_id":"859f1dbc-3e84-40b7-80ef-bf526a36776e","resolution":{"observed_at":"2026-08-06T19:37:44.862040Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.840422Z","title":"Malcev, Commutative subalgebras of semi-simple L ie algebras , Izv","venue":null,"work_id":"ec6eb5b0-5bcd-4f8f-8ab3-5f41b6e6778b","year":1945},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.097528Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:b1d18bb809bffa7689093f2164d63823e6a0a7cb062340383aa8aae1116090c4","observation_id":"f7d6290a-7d4a-4ed8-ab64-c3ac6d100345","resolution":{"observed_at":"2026-08-06T19:37:44.846219Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.824798Z","title":null,"venue":null,"work_id":"5f74a98b-07d2-4882-94c1-26238043b45a","year":1962},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.103525Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:f81fbb3eaa010ea5e6818a63d4e9f0b641c61d59b04052a5d78f6766c8a6acbe","observation_id":"4ea6c533-a1b3-428d-abd5-3fd2c16d8cb6","resolution":{"observed_at":"2026-08-06T19:37:44.829668Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.806789Z","title":"212, Springer-Verlag, New York, 2002","venue":null,"work_id":"f4419d8f-dfad-4146-b001-d8dd4f86ddb8","year":2002},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.110482Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:e9d106a2778b8633aeecee8f876dba5317a69ca20eee624e8182ebb011dc493c","observation_id":"4c276b46-7c13-464b-8646-82b52de90cb3","resolution":{"observed_at":"2026-08-06T19:37:44.813288Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.789953Z","title":null,"venue":null,"work_id":"76e72543-aad8-4c9d-96cc-bde0bf4b7563","year":2021},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.116054Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:89421e896b3652a7459120565eea8bdfd5abb5974913b9a640886f063f639f4a","observation_id":"e6b7ec4b-807a-4f83-a0f0-cab7974c872c","resolution":{"observed_at":"2026-08-06T19:37:44.795104Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.770790Z","title":null,"venue":null,"work_id":"66e874d6-6e3c-4fb6-a2af-5d1719f12d8a","year":2004},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.121770Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:190992b93192d7de1f5a60229a565f1144e4fa8a17040b8c0c9142df0ec25fa1","observation_id":"ab41f1c5-34bb-418a-b105-10e10b214695","resolution":{"observed_at":"2026-08-06T19:37:44.777163Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.753111Z","title":null,"venue":null,"work_id":"5c07f457-da0f-431d-bc09-c65bd6b8fc00","year":2006},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.126528Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:e686d6cf85775cdfb240489170519bc48d9fec17b64aff64d5ecf3c344accd4f","observation_id":"cd773209-dc53-4884-a1a1-03961d0b1743","resolution":{"observed_at":"2026-08-06T19:37:44.758531Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.736047Z","title":"thesis, University of Oxford, 2017","venue":null,"work_id":"98892c6a-086d-4f42-ba50-5023f5e3a4a1","year":2017},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.131262Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:799a88b0fbcec3ed4aeb1f3a547b9974c8b7e480312703d5aafe899016d43bed","observation_id":"1654c02d-c716-4642-84ce-f2ec2153e20c","resolution":{"observed_at":"2026-08-06T19:37:44.741754Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.720215Z","title":"Algebra 34 (2006), no","venue":null,"work_id":"5ddfb87c-ae53-440a-892f-807ca7cd424a","year":2006},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.135980Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:0e663ee412ced7a2330c4f4fbc9d3f684883cf5972e535b1b57aacd5188872ba","observation_id":"73b1ec0d-476f-413d-9e18-73ad56862fb2","resolution":{"observed_at":"2026-08-06T19:37:44.725128Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1709.06510","last_updated":"2017-09-19T16:26:37Z","snapshot_observed_at":"2026-07-06T06:00:20.967053Z","submitted_at":"2017-09-19T16:26:37Z","title":"Higher Segal structures in algebraic $K$-theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1709.06510","snapshot_observed_at":"2026-08-06T19:37:44.140684Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.140684Z"},"links":{"cited_paper":"/paper/1709.06510","citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:85d4c685860d16278fb94a9a020abaea6d5e7b78ad235854cd0f38073fdb6800","observation_id":"3eeff87c-f47a-466b-b7d7-64e14fdcd9e2","resolution":{"observed_at":"2026-08-06T19:37:44.140684Z","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":"2026-08-06T19:37:44.703370Z","title":"24, Cambridge University Press, Cambridge, 2014","venue":null,"work_id":"92af7469-1e26-4431-ba0c-3d2486173510","year":2014},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.147145Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:efd77f7878f7b5794322eda0f8dec655fab7f372b57e7b9d592922bf52457cd4","observation_id":"7c5d9270-6594-4c60-9c0c-3b09d5b7768a","resolution":{"observed_at":"2026-08-06T19:37:44.709614Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.683262Z","title":null,"venue":null,"work_id":"89094edf-481a-4746-b4be-bb5e53683df8","year":1975},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.152660Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:a2e3d386d338a20b397fc1ee5935202c464b3b55d5f8f8c0134293b1f1093297","observation_id":"2360411c-b749-483f-a365-7c8cadedb8c1","resolution":{"observed_at":"2026-08-06T19:37:44.688524Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.666931Z","title":"Stern, Perspectives on the 2- S egal conditons , draft available at www.walkerstern.com/publications https://www.walkerstern.com/publications/","venue":null,"work_id":"97637e65-bdc0-4797-b7c8-57940b5f33f8","year":null},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.157608Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:16f88168e1dba266fc5a2517495edb9521cba100b74377cc214dbf26ef49fe29","observation_id":"9eb086e1-db02-4a4a-803f-d417a5ba8567","resolution":{"observed_at":"2026-08-06T19:37:44.672373Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.650330Z","title":"Homotopy Relat","venue":null,"work_id":"65f5febe-d520-4c6d-a903-b8f45ea4abec","year":2021},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.163066Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:2facd457769fe738183925ac68364c54809d88d6842e403c179c5b34e3d165fc","observation_id":"9dd45fcc-4370-4e2f-8055-e0493a4a30f5","resolution":{"observed_at":"2026-08-06T19:37:44.655189Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.633898Z","title":null,"venue":null,"work_id":"30489394-4aaf-4406-a225-e4a7100f8af3","year":2004},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.168454Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:e56be2b80171ec2213970a7163f982759869571c88f54d6079a0003aa761db18","observation_id":"eb4136af-1aa4-4291-8a16-adbc8342ab6b","resolution":{"observed_at":"2026-08-06T19:37:44.639229Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.616974Z","title":null,"venue":null,"work_id":"20711915-a57d-43f5-a776-5ea5c259ee88","year":1993},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.173315Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:bb4d2bf018ad3bc964585f76ccc8deb0911ddb6c37612f340f5d2742ea637a05","observation_id":"ad3bf1ea-3d97-4265-9524-e5b15a4bb840","resolution":{"observed_at":"2026-08-06T19:37:44.621961Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.598440Z","title":"J ., 1983), Lecture Notes in Math., vol","venue":null,"work_id":"d97053d8-7a6d-4b82-8a40-dd14c431efc4","year":1983},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.179199Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:0ebe8032dfe0faa9fbd540cea1541cc61618766574ea01acf9ec02be8c2cac63","observation_id":"5ac51064-4aa0-48c7-a596-ae70e242219d","resolution":{"observed_at":"2026-08-06T19:37:44.605761Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T19:37:44.580449Z","title":null,"venue":null,"work_id":"dfa3d9ce-36ee-4c70-8a40-e86eded0d72a","year":2020},"citing_paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups","version":2},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-06T19:37:44.184421Z"},"links":{"citing_paper":"/paper/2507.05437"},"observation_digest":"sha256:78eb58f79a8e69eed9fb5222538a2eda823d5fdaa413d206424e63f6b80f5cba","observation_id":"7cf440ae-db4a-4b35-b1fc-a803326c3fbb","resolution":{"observed_at":"2026-08-06T19:37:44.586047Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.05437","last_updated":"2025-09-04T14:14:50Z","latest_version":2,"primary_category":"math.GR","snapshot_observed_at":"2026-08-08T12:13:52.887453Z","submitted_at":"2025-07-07T19:38:51Z","title":"Higher Segal spaces and partial groups"},"reference_resolution":{"displayed":56,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":22,"verified_exact":7,"verified_fuzzy":27},"total_outbound_references":56},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 2 inbound Pith citation observations for arXiv:2507.05437."}