{"as_of":"2026-08-22T07:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:55a0eabba5ff46111f82c7c357f67b3633ba1a3b058b62de1085fa6c807300de","coverage":[{"denominator":32,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":32,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T18:20:09.584480Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+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/2507.18453/citation-record","integrity":"/paper/2507.18453/integrity","json":"/paper/2507.18453/citation-record.json","paper":"/paper/2507.18453"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:20:10.069740Z","title":"Projectivity of the Witt vector affine Grassman- nian","venue":null,"work_id":"8bdf5fab-92cc-4387-8103-d1e046941099","year":2017},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.470256Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:4f7d41177f6466ce4bec242a2d55719ed9eb17ad3061d09bb906985bdc111ea6","observation_id":"8f8016f6-ee85-442b-8baf-a9c13b6bd3c0","resolution":{"observed_at":"2026-08-15T18:20:10.073549Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:10.058515Z","title":"Newton polygons as lattice points","venue":null,"work_id":"e11320a7-3e00-4a16-b40f-21cf0555d940","year":2000},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.474601Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:7276f28b388f59604d0bb3292984cdbf9712a0e03c6fe96b728f1071bfc07eb4","observation_id":"417cb2c2-98b3-4042-a537-90a5c2fbf4ee","resolution":{"observed_at":"2026-08-15T18:20:10.062736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:10.047013Z","title":"Affine Deligne-Lusztig varieties at infinite level","venue":null,"work_id":"876596ac-c723-4f91-ad3f-5c49aa8e679f","year":2021},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.478856Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:4b7dfb89e76e70547861b4be6a888ceb7b4e3f1d92c7a97fae7d615ac9e28452","observation_id":"12af883f-6e59-4b37-a653-d3de0b248a29","resolution":{"observed_at":"2026-08-15T18:20:10.050961Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:10.035235Z","title":"Representations of Reductive Groups Over Finite Fields","venue":null,"work_id":"553d1ec5-c383-4a0e-8def-574a69232e60","year":1976},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.483149Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:0cadef536bf8fc7713c44b9dbd4f1350dc86a27331ac60848eb41e649dffb1e2","observation_id":"db4259aa-325c-430e-805b-9680cda2f728","resolution":{"observed_at":"2026-08-15T18:20:10.039661Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:10.022773Z","title":"Affine Deligne- Lusztig varieties in affine flag varieties","venue":null,"work_id":"8e393f4a-176c-4f98-9bd0-3af5d2a349bc","year":2010},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.486988Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:c360d0ff8d8fa1776f074307a7b2220899b4255f5cce0845975d54029f353193","observation_id":"91313f24-1442-4e81-a675-e076603b3364","resolution":{"observed_at":"2026-08-15T18:20:10.027387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:10.010830Z","title":"Dimension of affine Deligne-Lusztig varieties in affine flag varieties","venue":null,"work_id":"8d4af96f-57a9-4ebb-8f1f-e398756e4a71","year":2010},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.490965Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:35a8c39babe785d5d0342c8df55de5895b5d3eec52c935bae6c3a719925c5732","observation_id":"839555ad-c11c-466c-8ca8-702c215a5c64","resolution":{"observed_at":"2026-08-15T18:20:10.015240Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.999710Z","title":"Dimensions of affine Deligne-Lusztig varieties in affine flag varieties","venue":null,"work_id":"3f56dfb4-06a0-40d6-9eed-12eb51c56680","year":2010},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.494942Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:04fffb77c0c0c72607f4750a763b2822b618be4d2e8f9bfb6c0f8b625134309a","observation_id":"a28ac04a-6461-4982-9921-adcdbd61fa09","resolution":{"observed_at":"2026-08-15T18:20:10.003567Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.989642Z","title":"P-alcoves and nonemptiness of affine Deligne- Lusztig varieties","venue":null,"work_id":"6824f0f4-a070-4c6e-b9d3-215821271cf9","year":2015},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.498569Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:dd52632d72121c23cbacef6ad2ff744bb56fddcb4374238b33aee82a0fd96187","observation_id":"90b9a66f-1bd5-4025-9b41-c47c1a6c3b2f","resolution":{"observed_at":"2026-08-15T18:20:09.992673Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.980799Z","title":"The geometry of Newton strata in the reduction modulo p of Shimura varieties of PEL type","venue":null,"work_id":"36a19816-c801-412e-a748-3fa324d8b52d","year":2015},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.502134Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:f99d0f0847be1f626e4ee1ad853942cc765fdfca8f8a0baf8646f190490ca9a3","observation_id":"763e0799-d2b6-4950-af0a-523cdf3c434a","resolution":{"observed_at":"2026-08-15T18:20:09.983689Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.971443Z","title":"Stratifications in the reduction of Shimura vari- eties","venue":null,"work_id":"8b014bae-be40-4df0-b5aa-9a257983054f","year":2017},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.505667Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:748075d0c094e040b560dfcfe8a9d00b42fef0dfef161508712a453cca965b53","observation_id":"a786763f-72da-4d82-9f24-0eb78845c598","resolution":{"observed_at":"2026-08-15T18:20:09.974650Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.960468Z","title":"Geometric and homological properties of affine Deligne-Lusztig vari- eties","venue":null,"work_id":"4c353b65-e281-4b1d-bc2b-6e1435676d5d","year":2014},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.509541Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:8b7457b76e191f8e5c853632d73e1637daee9970b9af1b728839deb56cd2be67","observation_id":"d5929b06-d288-46ee-ac57-494eeae4bb6e","resolution":{"observed_at":"2026-08-15T18:20:09.964575Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.949635Z","title":"Hecke algebras and p-adic groups","venue":null,"work_id":"329b8199-74ac-4273-a8d2-52009a813645","year":2015},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.513642Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:858c90600f246ee2c8d7e572db0404165d5cee2747ff309dd4b8a57f9eeb7d6c","observation_id":"a213b93d-7970-4646-86a8-356398da335a","resolution":{"observed_at":"2026-08-15T18:20:09.953276Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.938721Z","title":"Projected Richardson varieties and affine Schubert vari- eties","venue":null,"work_id":"37913dfa-6c8d-4f6a-9826-545f2f95ed2b","year":2015},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.517191Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:8c58d7c384b3c6c94acbfedf520e7a8f5fcd38048c033ae6044dcd849ac35a18","observation_id":"4e52377d-8603-4445-bd7d-5288f249105d","resolution":{"observed_at":"2026-08-15T18:20:09.942494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.927882Z","title":"Minimal length elements of extended affine Weyl groups","venue":null,"work_id":"d0b57c10-fcf0-4a9b-b8e8-c3ec8f96dd3f","year":2014},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.520695Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:8a35cfeb87875e510fa4f769c75710f8b3ea02dac7867c0ea97502c7edaddab9","observation_id":"dc2ba874-1025-4c9b-93c8-594a5d576f8b","resolution":{"observed_at":"2026-08-15T18:20:09.931715Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.14058","last_updated":"2022-08-30T08:19:19Z","snapshot_observed_at":"2026-08-16T16:36:02.355065Z","submitted_at":"2022-08-30T08:19:19Z","title":"Affine Deligne--Lusztig varieties with finite Coxeter parts","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.14058","snapshot_observed_at":"2026-08-15T18:20:09.524253Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.524253Z"},"links":{"cited_paper":"/paper/2208.14058","citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:2d985ee7e4f7b4e51ed8ae202c32ca5b0ca9031c7d0778a26066877972b95636","observation_id":"a30f138c-9ae5-47b6-948d-ab38590ecf87","resolution":{"observed_at":"2026-08-15T18:20:09.524253Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.15310","last_updated":"2024-02-23T13:26:36Z","snapshot_observed_at":"2026-08-16T14:15:54.456052Z","submitted_at":"2024-02-23T13:26:36Z","title":"Zero-dimensional affine Deligne--Lusztig varieties","version":1},"cited_work":{"arxiv_id":"2402.15310","doi":null,"metadata_source":"pith","pith_arxiv_id":"2402.15310","snapshot_observed_at":"2026-08-15T18:20:09.788893Z","title":"Zero-dimensional affine Deligne--Lusztig varieties","venue":"math.AG","work_id":"855d5618-4810-49a2-9d8d-15f5b0d87afa","year":2024},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.528260Z"},"links":{"cited_paper":"/paper/2402.15310","citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:c579b469aa550261e157a7cadbed356b171792c1ac12fc6e6949fff23f5dc416","observation_id":"8f42a685-5956-4b36-ba69-6651370b290e","resolution":{"observed_at":"2026-08-15T18:20:09.793895Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.916803Z","title":"Isocrystals with additional structure","venue":null,"work_id":"db9d5f19-e363-43aa-9b0f-0adc7b1306bd","year":1985},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.532450Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:83a54045d790126f3387b0e6c3563d5d8fcfd61976c26e22b6cc6a588208a7d3","observation_id":"22a81129-5010-4e8f-8a6e-a18ab30d8ec5","resolution":{"observed_at":"2026-08-15T18:20:09.920640Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.904003Z","title":"Coxeter orbits and eigenspaces of Frobenius","venue":null,"work_id":"4b9d4bce-0239-4e56-9a91-b58c8f04db0b","year":1976},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.535946Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:e312d25c02cc42ac055aad15958f72daded8d71e3331003c6aa64d0f95f053cc","observation_id":"2f8efca6-b88e-48d3-b4bb-9ad0b65ce46d","resolution":{"observed_at":"2026-08-15T18:20:09.908627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.539495Z","title":"Generic Newton points and the Newton poset in Iwahori-double cosets","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.539495Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:eae79db640acaa273abbfae336f644e83f6b3665f93f264604e97f04918cd279","observation_id":"82954ece-3300-4990-aa67-8d2b0a746d2a","resolution":{"observed_at":"2026-08-15T18:20:09.539495Z","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":"2026-08-15T18:20:09.885965Z","title":"Steinberg’s cross-section of Newton strata","venue":null,"work_id":"c8ae59a8-946c-4a0c-a929-8dfd05fa8c4b","year":2024},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.543667Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:9d534bee867094fe35438d29cac5ee8dee3392a935f81693f5f27e1bbc0e940a","observation_id":"9b48b763-008f-41a0-b163-e08e1a4f956a","resolution":{"observed_at":"2026-08-15T18:20:09.889743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.875864Z","title":"A guide to the reduction modulo p of Shimura varieties","venue":null,"work_id":"8660436c-312e-408b-8f3e-7439b7c3dd65","year":null},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.547044Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:00d8452d791a36d1e0cfd02b5daacc1dde1b8d2c344660efc7ae0500148c11c6","observation_id":"48710d71-64c2-4061-9ba8-77da83b15550","resolution":{"observed_at":"2026-08-15T18:20:09.879184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.02039","last_updated":"2023-06-09T08:19:52Z","snapshot_observed_at":"2026-08-16T17:02:39.823550Z","submitted_at":"2022-05-04T12:57:15Z","title":"Generic Newton points and cordial elements","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.02039","snapshot_observed_at":"2026-08-15T18:20:09.553967Z","title":"Schremmer","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.553967Z"},"links":{"cited_paper":"/paper/2205.02039","citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:7bd29fec35a2925635090b95c3f6b2fdac01f6a1dd9fe438cf306d10b148a0ef","observation_id":"2994e73d-60bf-4197-a4d6-8c5099574dc5","resolution":{"observed_at":"2026-08-15T18:20:09.553967Z","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":"2026-08-15T18:20:09.856163Z","title":"Newton strata in Levi subgroups","venue":null,"work_id":"46954679-2203-473b-8ea5-8e40491f0322","year":2024},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.557682Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:54cc08fdcbe943f8bc88856d7aecf480fc97fd8a7deeebb14dcdc9b1c8fce562","observation_id":"fa3a2570-1775-415a-942b-c21b91b1a484","resolution":{"observed_at":"2026-08-15T18:20:09.859586Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2312.02630","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:20:09.761059Z","title":"Schremmer, R","venue":null,"work_id":"24259959-7ff2-4e00-85c4-acb3310e0a1b","year":2024},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.561026Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:6b7b1eb535fa8cdfdc93e5b816049195f1ead93356c22aa0ff77795442171af6","observation_id":"fd52058b-c70b-4d02-b2e9-c7fad59ef546","resolution":{"observed_at":"2026-08-15T18:20:09.766130Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.13216","last_updated":"2024-02-20T18:29:26Z","snapshot_observed_at":"2026-08-19T16:33:39.925244Z","submitted_at":"2024-02-20T18:29:26Z","title":"Basic Loci of Positive Coxeter Type for $GL_n$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.13216","snapshot_observed_at":"2026-08-15T18:20:09.564023Z","title":"Basic Loci of Positive Coxeter Type for GLn","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.564023Z"},"links":{"cited_paper":"/paper/2402.13216","citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:2eefbf5a102f46552db9b8b99cd082c830e53a3bd86ba819f32f3e4a3a7280b2","observation_id":"7c90ef51-8919-45bb-98c6-3953a59bb248","resolution":{"observed_at":"2026-08-15T18:20:09.564023Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.19505","last_updated":"2025-04-21T14:48:04Z","snapshot_observed_at":"2026-08-16T14:05:28.877685Z","submitted_at":"2024-03-28T15:36:56Z","title":"On the supersingular locus of the Siegel modular variety of genus 3 or 4","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.19505","snapshot_observed_at":"2026-08-15T18:20:09.567613Z","title":"On the supersingular locus of the Siegel modular variety of genus 3 or 4","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.567613Z"},"links":{"cited_paper":"/paper/2403.19505","citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:b93a9e4fdb0d1c3093f1a79d15fbf58b45b240445819e9263d1473cccf424231","observation_id":"0285b304-31a6-42cc-9d43-1bc9a317dce2","resolution":{"observed_at":"2026-08-15T18:20:09.567613Z","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":"2306.17382","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:20:09.665479Z","title":"Takamstsu","venue":null,"work_id":"2fcadc0b-fbc5-4651-bc58-07118fce86c0","year":2023},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.571736Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:797c858948e41a12b264e8b5cb13e95c59dc30e98c311cfaca371896ef1c1383","observation_id":"5688b115-7fc0-4ca8-a194-e4d24c76f3b0","resolution":{"observed_at":"2026-08-15T18:20:09.671659Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.845604Z","title":"Truncations of level 1 of elements in the loop group of a reductive group","venue":null,"work_id":"1069da77-b51a-4ced-a49d-70c7ab9f9221","year":2014},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.575173Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:c7e72f28a14f0b0df355962572ba630db3911fb7811e776c25cc6c5f05979a92","observation_id":"e68e2455-fc51-42e9-8a88-63ad610fdfba","resolution":{"observed_at":"2026-08-15T18:20:09.849460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.834684Z","title":"On the geometry of the Newton stratification","venue":null,"work_id":"434c7a5e-f136-463c-a53c-d510414d5831","year":2020},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.578256Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:bab5396dea9b356e0a73a92e80a7a1cea7e1d8b78de5f219710807970bb5bf0f","observation_id":"fdc17a76-6df3-435e-9d4b-a75e2057952c","resolution":{"observed_at":"2026-08-15T18:20:09.838441Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.823213Z","title":"Minimal Newton strata in Iwahori double cosets","venue":null,"work_id":"ec34b9be-68af-4637-aa98-f5d7de5ecab4","year":2021},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.581503Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:5f2b2fba3adb2d19a3a6aed4c0feece718f892ba79fca5b940cedaa1fb4c5852","observation_id":"4b6d46dc-6707-4273-b530-6eceaebf9382","resolution":{"observed_at":"2026-08-15T18:20:09.826974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.811731Z","title":"Affine Grassmannians and the geometric Satake in mixed charac- teristic","venue":null,"work_id":"74e52090-25bf-4360-889a-21b512660150","year":2017},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.584480Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:747ba86c439d9271af0ed27fadb420f1be3c176bf3b75677547fb60578b41b65","observation_id":"ada74250-3dad-4716-9975-ef306ec89403","resolution":{"observed_at":"2026-08-15T18:20:09.815485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T18:20:09.866622Z","title":null,"venue":null,"work_id":"be3793a8-3227-453b-9fc4-d641cf517762","year":2005},"citing_paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements","version":2},"reference_index":298,"source":"pdf_text","source_observed_at":"2026-08-15T18:20:09.550607Z"},"links":{"citing_paper":"/paper/2507.18453"},"observation_digest":"sha256:52ead9e34f541361c8a207c68c2fae3e4163f8c46c17f2abc8133d0c360479ce","observation_id":"a919c8f8-5746-48a3-9cf7-6931d7261fb8","resolution":{"observed_at":"2026-08-15T18:20:09.869654Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.18453","last_updated":"2025-08-14T13:30:50Z","latest_version":2,"primary_category":"math.AG","snapshot_observed_at":"2026-08-15T18:09:46.102611Z","submitted_at":"2025-07-24T14:35:59Z","title":"Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements"},"reference_resolution":{"displayed":32,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":3,"verified_fuzzy":23},"total_outbound_references":32},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2507.18453."}