{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:4LMSTHPCQHNVSEEEZGGY46ZXCL","short_pith_number":"pith:4LMSTHPC","schema_version":"1.0","canonical_sha256":"e2d9299de281db591084c98d8e7b3712fc086b167a1bc7693eae295de7553afc","source":{"kind":"arxiv","id":"1703.05197","version":3},"attestation_state":"computed","paper":{"title":"Normalization of closed Ekedahl-Oort strata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AG","authors_text":"Jean-Stefan Koskivirta","submitted_at":"2017-03-15T15:08:12Z","abstract_excerpt":"We apply our theory of partial flag spaces developed in previous articles to study a group-theoretical generalization of the canonical filtration of a truncated Barsotti-Tate group of level 1. As an application, we determine explicitly the normalization of the Zariski closures of Ekedahl-Oort strata of Shimura varieties of Hodge-type as certain closed coarse strata in the associated partial flag spaces."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1703.05197","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-15T15:08:12Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"e9982074f99663a8a7837de1b9dbb861b6f9ed077eeb6fc3cbe22e3ad3167390","abstract_canon_sha256":"cf0af1610490e4e7eb88163b35da4b28e7ad449098bcd86a22112c9dd7ff9077"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:58.943469Z","signature_b64":"soiSYN8PTing7UlvDYbcFfz7poyZLicDteBZdRdXHDtiqpct5LxAykMd0vzxHr/U9SA1ayV5IrfIv3zcb/3lAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2d9299de281db591084c98d8e7b3712fc086b167a1bc7693eae295de7553afc","last_reissued_at":"2026-05-18T00:31:58.943007Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:58.943007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Normalization of closed Ekedahl-Oort strata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AG","authors_text":"Jean-Stefan Koskivirta","submitted_at":"2017-03-15T15:08:12Z","abstract_excerpt":"We apply our theory of partial flag spaces developed in previous articles to study a group-theoretical generalization of the canonical filtration of a truncated Barsotti-Tate group of level 1. As an application, we determine explicitly the normalization of the Zariski closures of Ekedahl-Oort strata of Shimura varieties of Hodge-type as certain closed coarse strata in the associated partial flag spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05197","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1703.05197","created_at":"2026-05-18T00:31:58.943077+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.05197v3","created_at":"2026-05-18T00:31:58.943077+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.05197","created_at":"2026-05-18T00:31:58.943077+00:00"},{"alias_kind":"pith_short_12","alias_value":"4LMSTHPCQHNV","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"4LMSTHPCQHNVSEEE","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"4LMSTHPC","created_at":"2026-05-18T12:31:00.734936+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4LMSTHPCQHNVSEEEZGGY46ZXCL","json":"https://pith.science/pith/4LMSTHPCQHNVSEEEZGGY46ZXCL.json","graph_json":"https://pith.science/api/pith-number/4LMSTHPCQHNVSEEEZGGY46ZXCL/graph.json","events_json":"https://pith.science/api/pith-number/4LMSTHPCQHNVSEEEZGGY46ZXCL/events.json","paper":"https://pith.science/paper/4LMSTHPC"},"agent_actions":{"view_html":"https://pith.science/pith/4LMSTHPCQHNVSEEEZGGY46ZXCL","download_json":"https://pith.science/pith/4LMSTHPCQHNVSEEEZGGY46ZXCL.json","view_paper":"https://pith.science/paper/4LMSTHPC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.05197&json=true","fetch_graph":"https://pith.science/api/pith-number/4LMSTHPCQHNVSEEEZGGY46ZXCL/graph.json","fetch_events":"https://pith.science/api/pith-number/4LMSTHPCQHNVSEEEZGGY46ZXCL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4LMSTHPCQHNVSEEEZGGY46ZXCL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4LMSTHPCQHNVSEEEZGGY46ZXCL/action/storage_attestation","attest_author":"https://pith.science/pith/4LMSTHPCQHNVSEEEZGGY46ZXCL/action/author_attestation","sign_citation":"https://pith.science/pith/4LMSTHPCQHNVSEEEZGGY46ZXCL/action/citation_signature","submit_replication":"https://pith.science/pith/4LMSTHPCQHNVSEEEZGGY46ZXCL/action/replication_record"}},"created_at":"2026-05-18T00:31:58.943077+00:00","updated_at":"2026-05-18T00:31:58.943077+00:00"}