{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:B6AUQLOZOKEU6WW5DYXSSWH5IB","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":"c4f271549e7ad41e7ee9a51e376e19e04acd2aba2a8b625ba38896af7d399916","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-24T17:30:35Z","title_canon_sha256":"c057bf39b9f43eb05ff3a484ce97561e6d31903faab035454a6d1b5978db6148"},"schema_version":"1.0","source":{"id":"1809.09070","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.09070","created_at":"2026-05-18T00:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"1809.09070v1","created_at":"2026-05-18T00:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.09070","created_at":"2026-05-18T00:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"B6AUQLOZOKEU","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"B6AUQLOZOKEU6WW5","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"B6AUQLOZ","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:8ff9d2b28d7142481ed39fbf72b2741cc1160f3da4401eac4427baa1b47a5658","target":"graph","created_at":"2026-05-18T00:05:01Z","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":"We calculate the automorphism group of a complete toric variety $X$ with torus $T_M$. We prove that the radical unipotent of $Aut_k^0X$ is a semidirect product of additive groups, the reductive part is a quotient of a product of lineal groups and we give the action of linear groups on the additive groups. We also prove that $Aut_kX/Aut_k^0X$ is a quotient of the group of automorphisms of $M$ leaving invariant the fan.","authors_text":"Carlos Sancho, J.P Moreno, M.T Sancho","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-24T17:30:35Z","title":"Automorphism group of a toric variety"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09070","kind":"arxiv","version":1},"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:c84bfaa3c9518d033af8f3c603ab2525ef8906cf47970e71f79b7c0d17643ac4","target":"record","created_at":"2026-05-18T00:05:01Z","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":"c4f271549e7ad41e7ee9a51e376e19e04acd2aba2a8b625ba38896af7d399916","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-24T17:30:35Z","title_canon_sha256":"c057bf39b9f43eb05ff3a484ce97561e6d31903faab035454a6d1b5978db6148"},"schema_version":"1.0","source":{"id":"1809.09070","kind":"arxiv","version":1}},"canonical_sha256":"0f81482dd972894f5add1e2f2958fd4060e30131017012019a58727c2779bdbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f81482dd972894f5add1e2f2958fd4060e30131017012019a58727c2779bdbc","first_computed_at":"2026-05-18T00:05:01.202459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:01.202459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s4wpOobQwBPFAyjRNecFv5goCXN8LHf9bwfCUyGrXkHdvwX+d5FfjU3JI5ghbdrWWBgal28JV7tIu0dOemR4BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:01.203172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.09070","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c84bfaa3c9518d033af8f3c603ab2525ef8906cf47970e71f79b7c0d17643ac4","sha256:8ff9d2b28d7142481ed39fbf72b2741cc1160f3da4401eac4427baa1b47a5658"],"state_sha256":"5b74c3adb63c8cd525b42b1febdc2da1f2110f479b55a50119c2a0a0b7dd852e"}