{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:5AZIEU2WCDJIRRCHO6GVSNH52F","short_pith_number":"pith:5AZIEU2W","schema_version":"1.0","canonical_sha256":"e83282535610d288c447778d5934fdd17f15e1ea6b8b167e7c12becc9917b23a","source":{"kind":"arxiv","id":"1603.04705","version":2},"attestation_state":"computed","paper":{"title":"Embeddings of spherical homogeneous spaces in characteristic p","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AG","authors_text":"Rudolf Tange","submitted_at":"2016-03-15T14:40:07Z","abstract_excerpt":"Let G be a reductive group over an algebraically closed field of characteristic p>0. We study properties of embeddings of spherical homogeneous G-spaces. We look at Frobenius splittings, canonical or by a (p-1)-th power, compatible with certain subvarieties. We also look at cohomology vanishing and show the existence of rational G-equivariant resolutions by toroidal embeddings. We show that the class of homogeneous spaces for which our results hold contains the symmetric homogeneous spaces in characteristic not 2 and is closed under parabolic induction."},"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":"1603.04705","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-15T14:40:07Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"927a0b6099a3ef8b7c2715360d2214beb521e62e452050d796a00698f7c782f4","abstract_canon_sha256":"a2c2abd1a14dbd1596ababfb5dcf833459e47b6bd83e5d1178dfc8a5cbda04c9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:35.744667Z","signature_b64":"nnYxX/wbWcxxr9n0/np/T/rYztgdsVlVXux52Z8j2OhjbJNG7hVHj2a0rfa84Hx+CMKegcdCxLrkwtCj8gOcCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e83282535610d288c447778d5934fdd17f15e1ea6b8b167e7c12becc9917b23a","last_reissued_at":"2026-05-18T00:50:35.744071Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:35.744071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Embeddings of spherical homogeneous spaces in characteristic p","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AG","authors_text":"Rudolf Tange","submitted_at":"2016-03-15T14:40:07Z","abstract_excerpt":"Let G be a reductive group over an algebraically closed field of characteristic p>0. We study properties of embeddings of spherical homogeneous G-spaces. We look at Frobenius splittings, canonical or by a (p-1)-th power, compatible with certain subvarieties. We also look at cohomology vanishing and show the existence of rational G-equivariant resolutions by toroidal embeddings. We show that the class of homogeneous spaces for which our results hold contains the symmetric homogeneous spaces in characteristic not 2 and is closed under parabolic induction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04705","kind":"arxiv","version":2},"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":"1603.04705","created_at":"2026-05-18T00:50:35.744196+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.04705v2","created_at":"2026-05-18T00:50:35.744196+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04705","created_at":"2026-05-18T00:50:35.744196+00:00"},{"alias_kind":"pith_short_12","alias_value":"5AZIEU2WCDJI","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"5AZIEU2WCDJIRRCH","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"5AZIEU2W","created_at":"2026-05-18T12:29:58.707656+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/5AZIEU2WCDJIRRCHO6GVSNH52F","json":"https://pith.science/pith/5AZIEU2WCDJIRRCHO6GVSNH52F.json","graph_json":"https://pith.science/api/pith-number/5AZIEU2WCDJIRRCHO6GVSNH52F/graph.json","events_json":"https://pith.science/api/pith-number/5AZIEU2WCDJIRRCHO6GVSNH52F/events.json","paper":"https://pith.science/paper/5AZIEU2W"},"agent_actions":{"view_html":"https://pith.science/pith/5AZIEU2WCDJIRRCHO6GVSNH52F","download_json":"https://pith.science/pith/5AZIEU2WCDJIRRCHO6GVSNH52F.json","view_paper":"https://pith.science/paper/5AZIEU2W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.04705&json=true","fetch_graph":"https://pith.science/api/pith-number/5AZIEU2WCDJIRRCHO6GVSNH52F/graph.json","fetch_events":"https://pith.science/api/pith-number/5AZIEU2WCDJIRRCHO6GVSNH52F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5AZIEU2WCDJIRRCHO6GVSNH52F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5AZIEU2WCDJIRRCHO6GVSNH52F/action/storage_attestation","attest_author":"https://pith.science/pith/5AZIEU2WCDJIRRCHO6GVSNH52F/action/author_attestation","sign_citation":"https://pith.science/pith/5AZIEU2WCDJIRRCHO6GVSNH52F/action/citation_signature","submit_replication":"https://pith.science/pith/5AZIEU2WCDJIRRCHO6GVSNH52F/action/replication_record"}},"created_at":"2026-05-18T00:50:35.744196+00:00","updated_at":"2026-05-18T00:50:35.744196+00:00"}