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To each element $w$ of $W$ one can associate the Schubert subvariety $X_w$ of the flag variety $G/B$, the tangent cone to $X_w$ at the identity point $p$ considered as a subcheme of the tangent space $T_p(G/B)$, and the reduced tangent cone to $X_w$ at $p$ considered as a subvariety of $T_p(G/B)$. Let $w_1$, $w_2$ be distinct involutions in $W$. We prove that if $G$ is of type $B_n$ or $C_n$, then the tangent cones corresponding t"},"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":"1310.3166","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-11T15:23:49Z","cross_cats_sorted":[],"title_canon_sha256":"828e22be9e38c8f94b8abc5068361584f59556f48978e90786fdf7b623f83e5d","abstract_canon_sha256":"ee7f051c5a93764857de06697997483e77f731e0506068b1d043d5ff20325267"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:39.231270Z","signature_b64":"59vjofKeI/HWJAcv4UjxyfVbbjePDFQd1DetlCLpI8IlWND4QjaqordgTrqcBkP6vMqdQcweFowff0Wb/4UsBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28f58cf23fe76161fbdef6432b4fb0cc44eeb64bad68f2d103b9e319e790b36c","last_reissued_at":"2026-05-18T02:29:39.230907Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:39.230907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tangent cones to Schubert varieties in types $A_n$, $B_n$ and $C_n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Aleksandr A. Shevchenko, Mikhail A. Bochkarev, Mikhail V. Ignatyev","submitted_at":"2013-10-11T15:23:49Z","abstract_excerpt":"Let $G$ be a complex reductive group, $T$ be a maximal torus of $G$, $B$ be a Borel subgroup of $G$ containing $T$, $W$ be the Weyl group of $G$ with respect to $T$. To each element $w$ of $W$ one can associate the Schubert subvariety $X_w$ of the flag variety $G/B$, the tangent cone to $X_w$ at the identity point $p$ considered as a subcheme of the tangent space $T_p(G/B)$, and the reduced tangent cone to $X_w$ at $p$ considered as a subvariety of $T_p(G/B)$. Let $w_1$, $w_2$ be distinct involutions in $W$. We prove that if $G$ is of type $B_n$ or $C_n$, then the tangent cones corresponding t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3166","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":"1310.3166","created_at":"2026-05-18T02:29:39.230964+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.3166v2","created_at":"2026-05-18T02:29:39.230964+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3166","created_at":"2026-05-18T02:29:39.230964+00:00"},{"alias_kind":"pith_short_12","alias_value":"FD2YZ4R745QW","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FD2YZ4R745QWD666","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FD2YZ4R7","created_at":"2026-05-18T12:27:45.050594+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/FD2YZ4R745QWD6666ZBSWT5QZR","json":"https://pith.science/pith/FD2YZ4R745QWD6666ZBSWT5QZR.json","graph_json":"https://pith.science/api/pith-number/FD2YZ4R745QWD6666ZBSWT5QZR/graph.json","events_json":"https://pith.science/api/pith-number/FD2YZ4R745QWD6666ZBSWT5QZR/events.json","paper":"https://pith.science/paper/FD2YZ4R7"},"agent_actions":{"view_html":"https://pith.science/pith/FD2YZ4R745QWD6666ZBSWT5QZR","download_json":"https://pith.science/pith/FD2YZ4R745QWD6666ZBSWT5QZR.json","view_paper":"https://pith.science/paper/FD2YZ4R7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.3166&json=true","fetch_graph":"https://pith.science/api/pith-number/FD2YZ4R745QWD6666ZBSWT5QZR/graph.json","fetch_events":"https://pith.science/api/pith-number/FD2YZ4R745QWD6666ZBSWT5QZR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FD2YZ4R745QWD6666ZBSWT5QZR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FD2YZ4R745QWD6666ZBSWT5QZR/action/storage_attestation","attest_author":"https://pith.science/pith/FD2YZ4R745QWD6666ZBSWT5QZR/action/author_attestation","sign_citation":"https://pith.science/pith/FD2YZ4R745QWD6666ZBSWT5QZR/action/citation_signature","submit_replication":"https://pith.science/pith/FD2YZ4R745QWD6666ZBSWT5QZR/action/replication_record"}},"created_at":"2026-05-18T02:29:39.230964+00:00","updated_at":"2026-05-18T02:29:39.230964+00:00"}