{"as_of":"2026-08-16T19:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:26fe40dddf83ba1db91e66eee513ea05a8f17e455987372431b39c7c4fb3c89a","coverage":[{"denominator":15,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":15,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:44:18.536751Z","state":"measured"},{"denominator":15,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":15,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.05605/citation-record","integrity":"/paper/1908.05605/integrity","json":"/paper/1908.05605/citation-record.json","paper":"/paper/1908.05605"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:18.950531Z","title":"Balaji, S","venue":null,"work_id":"beb6e7aa-a340-4e8a-b59d-edc3a853930c","year":2004},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.428303Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:5837ab30ffa0e93a731f47e6296f3d7d943c1465137d4e804090ec2db919ac69","observation_id":"1d3016be-64f4-4e69-b707-b40beeeb4027","resolution":{"observed_at":"2026-08-14T13:44:18.960261Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:44:18.435483Z","title":"Bott and H","venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.435483Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:0df2138da766bf9526ab729f955adf99d5ea838f667ad399ded1eb99db6bb020","observation_id":"c718b922-3d4e-4304-8926-b8325c40c528","resolution":{"observed_at":"2026-08-14T13:44:18.435483Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:18.444409Z","title":"Brion, S","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.444409Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:759d5dbd135920ccd9341396ca5e463e3913896e6fc5ed0e95442231abaa4049","observation_id":"d8d54e97-c4e7-43d2-8c84-4462418f09ff","resolution":{"observed_at":"2026-08-14T13:44:18.444409Z","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":"2026-08-14T13:44:18.760688Z","title":"2, 435-468","venue":null,"work_id":"c2d0c182-e74a-4f9c-a8f8-c59c4c7444b9","year":2017},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.451373Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:e069616892dd02729e3d31604e17a26daa764e274bb59f7cdf439a0444896ad9","observation_id":"6cfe045a-7353-4ab9-892e-efe9e953517a","resolution":{"observed_at":"2026-08-14T13:44:18.766754Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:44:18.742099Z","title":null,"venue":null,"work_id":"aea9f10b-2fbf-408c-acf7-f5ec107e7bb5","year":2015},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.461941Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:dcd14f0c280b58f5450179eb4ae3181dcd6fcd33c72f3d58e26f6092b40e632e","observation_id":"cbfc9217-3bc0-44a6-abbe-abfeb67a41ec","resolution":{"observed_at":"2026-08-14T13:44:18.748612Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:44:18.470631Z","title":"Demazure, Desingularisation des varieties de schubert gener alisees","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.470631Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:97e2292bf517a9df7d99b814ad5e3b07f3d046bf9d32006b9d35f33a4362a62f","observation_id":"b24abb91-7efb-41c8-bdb3-be37a2565310","resolution":{"observed_at":"2026-08-14T13:44:18.470631Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:18.481523Z","title":"Demazure, A very simple proof of Bott’s theorem, Invent","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.481523Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:aadca7d88a2b17760112dfe3a760a8075b0c22727a5ac91102e00196560cd873","observation_id":"96412e6e-626f-4f94-9ad6-13ac480dce79","resolution":{"observed_at":"2026-08-14T13:44:18.481523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:18.489714Z","title":"Hansen, On cycles on ﬂag manifolds, Math","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.489714Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:9c289825196caa1b44f65603ec0ea0ed9294180118ee2387dd8300357ca4dd66","observation_id":"47bf60db-ca2a-49f5-b08d-422f52edb480","resolution":{"observed_at":"2026-08-14T13:44:18.489714Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:18.498370Z","title":"Humphreys, Introduction to Lie algebras and Representat ion theory, Springer-Verlag, Berlin Heidelberg, New York, 1972","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.498370Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:46c63d58b001a3b1d57a19c960b82c029f32fd7ed778637ea6376b810204153b","observation_id":"bf47dd3c-6235-40ef-8833-f04ad1357d3d","resolution":{"observed_at":"2026-08-14T13:44:18.498370Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:18.504630Z","title":"Humphreys, Linear Algebraic Groups, Springer-Verlag, Be rlin Heidelberg, New York, 1975","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.504630Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:8c850cd67bcd54bd2829ed916d1ab5ee058a6890bea7e9b2835f5e45b820f5df","observation_id":"26cac1b7-4d80-4001-a703-195ee62adb3e","resolution":{"observed_at":"2026-08-14T13:44:18.504630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:18.513382Z","title":"Humphreys, Conjugacy classes in semisimple algebraic group s, Math","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.513382Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:39ecec2a36c0092b608b63a46698f733f1be43b75cf5657e7b88359b4d9d9216","observation_id":"49953996-0c78-4b3d-88a1-905d05d50af9","resolution":{"observed_at":"2026-08-14T13:44:18.513382Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:18.519305Z","title":"Huybrechts, ”Complex Geometry: An Introduction”, Sprin ger-Verlag, Berlin Heidelberg, New York, 2005","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.519305Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:eb4d4cccb9d0059bd26b92b69830cedf7bdb29320ba008b9c3529b160f5bbe12","observation_id":"80701780-1870-4f5a-b308-208e9e631de8","resolution":{"observed_at":"2026-08-14T13:44:18.519305Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:18.524196Z","title":"Jantzen, Representations of Algebraic Groups, (Second Edition ), Mathematical Surveys and Monographs, Vol.107, 2003","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.524196Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:08b7980ddee6b6dc823284e6d4cca04331a466e68691827723cc28e9d9cd42df","observation_id":"5398efcd-fec8-47dc-93ae-195a074d7481","resolution":{"observed_at":"2026-08-14T13:44:18.524196Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:18.530539Z","title":"Senthamarai Kannan, On the automorphism group of a smoo th Schubert variety","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.530539Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:3c7450c75891023dc4b904f28eb224848a1600a79e01b61b85264b11d713db60","observation_id":"393f0cfd-80c5-456f-95fd-969a11e80a72","resolution":{"observed_at":"2026-08-14T13:44:18.530539Z","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":"2026-08-14T13:44:18.574469Z","title":"Yang and A.Zelevinsky, Cluster algebras of ﬁnite type via Cox eter elements and principal minors, Transformation Groups 13 (2008), no.3-4, 855-895","venue":null,"work_id":"6e29ce9f-bb9b-4465-8e9d-807bcda2e456","year":2008},"citing_paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:18.536751Z"},"links":{"citing_paper":"/paper/1908.05605"},"observation_digest":"sha256:1a0fb799d94043ad22c21aff411fe16bdc867765274c08059c1d71597047bf11","observation_id":"c2bc8ec8-8854-4763-9753-4c407b3ba4aa","resolution":{"observed_at":"2026-08-14T13:44:18.588018Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.05605","last_updated":"2019-08-13T19:14:25Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-16T10:48:21.802136Z","submitted_at":"2019-08-13T19:14:25Z","title":"Rigidity of Bott-Samelson-Demazure-Hansen variety for $PSO(2n+1, \\mathbb{C})$"},"reference_resolution":{"displayed":15,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":0,"verified_fuzzy":3},"total_outbound_references":15},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.05605."}