{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:H6NITL2QQTXED74NCMOAPC3CLM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c00be57fd6274d3c3f9be85071e0b73a4acf4602cf18aff5b6fc30037e5009a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-05T09:01:34Z","title_canon_sha256":"20ac6a2b1558bac55f23f8c3a4ef83700d3ae83d209a4cc28017ec3ff1c65016"},"schema_version":"1.0","source":{"id":"1206.0846","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0846","created_at":"2026-05-18T02:29:16Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0846v3","created_at":"2026-05-18T02:29:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0846","created_at":"2026-05-18T02:29:16Z"},{"alias_kind":"pith_short_12","alias_value":"H6NITL2QQTXE","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"H6NITL2QQTXED74N","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"H6NITL2Q","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:954188ee186fe3dfc8e0c6c3b5a22e35fafe53e9c8f243f3d931632cea466edd","target":"graph","created_at":"2026-05-18T02:29:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Let G be a connected reductive complex algebraic group acting on a smooth complete complex algebraic variety X. We assume that X under the action of G is a regular embedding, a condition satisfied in particular by smooth toric varieties and flag varieties. For any set D of G-stable prime divisors, we study the action on X of the connected automorphism group of X stabilizing D. We determine a Levi subgroup A of this automorphism group, and we compute relevant invariants of X as a spherical A-variety. As a byproduct, we obtain a description of the open A-orbit on X and the inclusion relation bet","authors_text":"Guido Pezzini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-05T09:01:34Z","title":"On reductive automorphism groups of regular embeddings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0846","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6c0f36861422e50c0c3a0145d4252c5bab2bd27f421bf893d6cfdb5c17f42abd","target":"record","created_at":"2026-05-18T02:29:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c00be57fd6274d3c3f9be85071e0b73a4acf4602cf18aff5b6fc30037e5009a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-05T09:01:34Z","title_canon_sha256":"20ac6a2b1558bac55f23f8c3a4ef83700d3ae83d209a4cc28017ec3ff1c65016"},"schema_version":"1.0","source":{"id":"1206.0846","kind":"arxiv","version":3}},"canonical_sha256":"3f9a89af5084ee41ff8d131c078b625b3fa5598de82e1e7c63cad6712d959955","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f9a89af5084ee41ff8d131c078b625b3fa5598de82e1e7c63cad6712d959955","first_computed_at":"2026-05-18T02:29:16.156003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:16.156003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c60B3SMMAeMO5mYvXNGTa1osGbJK0W9JyTEbpv8cKPTstMy6M2fFNVbcJ7hxriD19C3cEwOPFgmxkryxlf54Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:16.156400Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.0846","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c0f36861422e50c0c3a0145d4252c5bab2bd27f421bf893d6cfdb5c17f42abd","sha256:954188ee186fe3dfc8e0c6c3b5a22e35fafe53e9c8f243f3d931632cea466edd"],"state_sha256":"55e3b4fb51b5d88b64dc67a870e9eead9b4af74c1b1bded4b1bd7ab584785a40"}