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Let $Z(w,\\underline i)$ be the Bott-Samelson-Demazure-Hansen variety (the desingularization of the Schubert variety $X(w)$) corresponding to a reduced expression $\\underline i$ of $w$.\n  In this article, we compute the connected component $Aut^0(Z(w, \\underline i))$ of the automorphism group of $Z(w,\\underline i)$ containing the identity aut"},"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":"1508.01080","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-08-05T14:05:13Z","cross_cats_sorted":[],"title_canon_sha256":"a73df907fc611273c65f8006989dd88bcc6af55ba30ce5852d0b3492c6075505","abstract_canon_sha256":"150c5beafcfe907e4b68e316ea78724ec642515443fd6792b186f1f3fb91fe81"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:00.880230Z","signature_b64":"U+PWERn8l/VRgcL0BXVub71Uf7q5MMs0jH1+24VN/NS9UBXfN2EACXhOUoyaSdk1VZplPF4Od7WPtTYx1qX9Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c88b0f078923d878418959336030fef61d4ba8df303daa8ef491af623136a796","last_reissued_at":"2026-05-18T00:09:00.879699Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:00.879699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Automorphism group of a Bott-Samelson-Demazure-Hansen variety","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"A.J. Parameswaran, B. Narasimha Chary, S. Senthamarai Kannan","submitted_at":"2015-08-05T14:05:13Z","abstract_excerpt":"Let $G$ be a simple, adjoint, algebraic group over the field of complex numbers, $B$ be a Borel subgroup of $G$ containing a maximal torus $T$ of $G$, $w$ be an element of the Weyl group $W$ and $X(w)$ be the Schubert variety in $G/B$ corresponding to $w$. Let $Z(w,\\underline i)$ be the Bott-Samelson-Demazure-Hansen variety (the desingularization of the Schubert variety $X(w)$) corresponding to a reduced expression $\\underline i$ of $w$.\n  In this article, we compute the connected component $Aut^0(Z(w, \\underline i))$ of the automorphism group of $Z(w,\\underline i)$ containing the identity aut"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01080","kind":"arxiv","version":1},"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":"1508.01080","created_at":"2026-05-18T00:09:00.879802+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.01080v1","created_at":"2026-05-18T00:09:00.879802+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01080","created_at":"2026-05-18T00:09:00.879802+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZCFQ6B4JEPMH","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZCFQ6B4JEPMHQQMJ","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZCFQ6B4J","created_at":"2026-05-18T12:29:52.810259+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/ZCFQ6B4JEPMHQQMJLEZWAMH66Y","json":"https://pith.science/pith/ZCFQ6B4JEPMHQQMJLEZWAMH66Y.json","graph_json":"https://pith.science/api/pith-number/ZCFQ6B4JEPMHQQMJLEZWAMH66Y/graph.json","events_json":"https://pith.science/api/pith-number/ZCFQ6B4JEPMHQQMJLEZWAMH66Y/events.json","paper":"https://pith.science/paper/ZCFQ6B4J"},"agent_actions":{"view_html":"https://pith.science/pith/ZCFQ6B4JEPMHQQMJLEZWAMH66Y","download_json":"https://pith.science/pith/ZCFQ6B4JEPMHQQMJLEZWAMH66Y.json","view_paper":"https://pith.science/paper/ZCFQ6B4J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.01080&json=true","fetch_graph":"https://pith.science/api/pith-number/ZCFQ6B4JEPMHQQMJLEZWAMH66Y/graph.json","fetch_events":"https://pith.science/api/pith-number/ZCFQ6B4JEPMHQQMJLEZWAMH66Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZCFQ6B4JEPMHQQMJLEZWAMH66Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZCFQ6B4JEPMHQQMJLEZWAMH66Y/action/storage_attestation","attest_author":"https://pith.science/pith/ZCFQ6B4JEPMHQQMJLEZWAMH66Y/action/author_attestation","sign_citation":"https://pith.science/pith/ZCFQ6B4JEPMHQQMJLEZWAMH66Y/action/citation_signature","submit_replication":"https://pith.science/pith/ZCFQ6B4JEPMHQQMJLEZWAMH66Y/action/replication_record"}},"created_at":"2026-05-18T00:09:00.879802+00:00","updated_at":"2026-05-18T00:09:00.879802+00:00"}