{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:CXBW3HBZBYGRRX2ZPHHHHCJBVC","short_pith_number":"pith:CXBW3HBZ","schema_version":"1.0","canonical_sha256":"15c36d9c390e0d18df5979ce738921a882bfc7b4929dd4d725f6601ec11f929f","source":{"kind":"arxiv","id":"1503.02275","version":2},"attestation_state":"computed","paper":{"title":"Minimal rational curves on wonderful group compactifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Baohua Fu, Michel Brion","submitted_at":"2015-03-08T13:17:17Z","abstract_excerpt":"Consider a simple algebraic group G of adjoint type, and its wonderful compactification X. We show that X admits a unique family of minimal rational curves, and we explicitly describe the subfamily consisting of curves through a general point. As an application, we show that X has the target rigidity property when G is not of type A_1 or C."},"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":"1503.02275","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-03-08T13:17:17Z","cross_cats_sorted":[],"title_canon_sha256":"4d9abce026b59bbb0d6202e8cb16b8a90beb5c3e0382187c97e81e5bd760626e","abstract_canon_sha256":"cb9b6a93cc1139f8be756d7fadaaa5474bef3b126a7c1c374a3da55848ee88f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:01.703373Z","signature_b64":"pCBlnq52rTdm2tleWgb6THDU+qJNm28GyWpzZEIxZGfp1/pdSlEMrsIMoeH8/2ioxXRlobkPCuKogt3aEcKPAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15c36d9c390e0d18df5979ce738921a882bfc7b4929dd4d725f6601ec11f929f","last_reissued_at":"2026-05-18T01:37:01.702948Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:01.702948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minimal rational curves on wonderful group compactifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Baohua Fu, Michel Brion","submitted_at":"2015-03-08T13:17:17Z","abstract_excerpt":"Consider a simple algebraic group G of adjoint type, and its wonderful compactification X. We show that X admits a unique family of minimal rational curves, and we explicitly describe the subfamily consisting of curves through a general point. As an application, we show that X has the target rigidity property when G is not of type A_1 or C."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02275","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":"1503.02275","created_at":"2026-05-18T01:37:01.703011+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.02275v2","created_at":"2026-05-18T01:37:01.703011+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02275","created_at":"2026-05-18T01:37:01.703011+00:00"},{"alias_kind":"pith_short_12","alias_value":"CXBW3HBZBYGR","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"CXBW3HBZBYGRRX2Z","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"CXBW3HBZ","created_at":"2026-05-18T12:29:17.054201+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/CXBW3HBZBYGRRX2ZPHHHHCJBVC","json":"https://pith.science/pith/CXBW3HBZBYGRRX2ZPHHHHCJBVC.json","graph_json":"https://pith.science/api/pith-number/CXBW3HBZBYGRRX2ZPHHHHCJBVC/graph.json","events_json":"https://pith.science/api/pith-number/CXBW3HBZBYGRRX2ZPHHHHCJBVC/events.json","paper":"https://pith.science/paper/CXBW3HBZ"},"agent_actions":{"view_html":"https://pith.science/pith/CXBW3HBZBYGRRX2ZPHHHHCJBVC","download_json":"https://pith.science/pith/CXBW3HBZBYGRRX2ZPHHHHCJBVC.json","view_paper":"https://pith.science/paper/CXBW3HBZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.02275&json=true","fetch_graph":"https://pith.science/api/pith-number/CXBW3HBZBYGRRX2ZPHHHHCJBVC/graph.json","fetch_events":"https://pith.science/api/pith-number/CXBW3HBZBYGRRX2ZPHHHHCJBVC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CXBW3HBZBYGRRX2ZPHHHHCJBVC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CXBW3HBZBYGRRX2ZPHHHHCJBVC/action/storage_attestation","attest_author":"https://pith.science/pith/CXBW3HBZBYGRRX2ZPHHHHCJBVC/action/author_attestation","sign_citation":"https://pith.science/pith/CXBW3HBZBYGRRX2ZPHHHHCJBVC/action/citation_signature","submit_replication":"https://pith.science/pith/CXBW3HBZBYGRRX2ZPHHHHCJBVC/action/replication_record"}},"created_at":"2026-05-18T01:37:01.703011+00:00","updated_at":"2026-05-18T01:37:01.703011+00:00"}