{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:H7YJKOMDM6UNGS45E6F237JLC2","short_pith_number":"pith:H7YJKOMD","schema_version":"1.0","canonical_sha256":"3ff095398367a8d34b9d278badfd2b168a760de20ec8238d1eaa16274a831536","source":{"kind":"arxiv","id":"1609.05958","version":1},"attestation_state":"computed","paper":{"title":"Rational curves on complete intersections in positive characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Eric Riedl, Matthew Woolf","submitted_at":"2016-09-19T22:20:58Z","abstract_excerpt":"We study properties of rational curves on complete intersections in positive characteristic. It has long been known that in characteristic 0, smooth Calabi-Yau and general type varieties are not uniruled. In positive characteristic, however, there are well-known counterexamples to this statement. We will show that nevertheless, a \\emph{general} Calabi-Yau or general type complete intersection in projective space is not uniruled. We will also show that the space of complete intersections of degree $(d_1, \\cdots, d_k)$ containing a rational curve has codimension at least $\\sum_{i=1}^k d_i - 2n +"},"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":"1609.05958","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-09-19T22:20:58Z","cross_cats_sorted":[],"title_canon_sha256":"2d9e2f6b1a6590d20d9df7e1fa39364d9fe2e71fde6c343326b1c982d8601443","abstract_canon_sha256":"c3523fcfa4bd464878e4d89c47ec59f2739cd0a411c5a283e02afb8e7bd92dda"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:17.018242Z","signature_b64":"J7oZaDpz5KYeWQXF/1vi7K7GgUkR30BYorLG1BDBJ30vcQDNw7ixU9KaRMl8NiG529FIVQFJE/GctDBJU9cOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ff095398367a8d34b9d278badfd2b168a760de20ec8238d1eaa16274a831536","last_reissued_at":"2026-05-18T01:04:17.017774Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:17.017774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rational curves on complete intersections in positive characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Eric Riedl, Matthew Woolf","submitted_at":"2016-09-19T22:20:58Z","abstract_excerpt":"We study properties of rational curves on complete intersections in positive characteristic. It has long been known that in characteristic 0, smooth Calabi-Yau and general type varieties are not uniruled. In positive characteristic, however, there are well-known counterexamples to this statement. We will show that nevertheless, a \\emph{general} Calabi-Yau or general type complete intersection in projective space is not uniruled. We will also show that the space of complete intersections of degree $(d_1, \\cdots, d_k)$ containing a rational curve has codimension at least $\\sum_{i=1}^k d_i - 2n +"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05958","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":"1609.05958","created_at":"2026-05-18T01:04:17.017843+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.05958v1","created_at":"2026-05-18T01:04:17.017843+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05958","created_at":"2026-05-18T01:04:17.017843+00:00"},{"alias_kind":"pith_short_12","alias_value":"H7YJKOMDM6UN","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"H7YJKOMDM6UNGS45","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"H7YJKOMD","created_at":"2026-05-18T12:30:19.053100+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/H7YJKOMDM6UNGS45E6F237JLC2","json":"https://pith.science/pith/H7YJKOMDM6UNGS45E6F237JLC2.json","graph_json":"https://pith.science/api/pith-number/H7YJKOMDM6UNGS45E6F237JLC2/graph.json","events_json":"https://pith.science/api/pith-number/H7YJKOMDM6UNGS45E6F237JLC2/events.json","paper":"https://pith.science/paper/H7YJKOMD"},"agent_actions":{"view_html":"https://pith.science/pith/H7YJKOMDM6UNGS45E6F237JLC2","download_json":"https://pith.science/pith/H7YJKOMDM6UNGS45E6F237JLC2.json","view_paper":"https://pith.science/paper/H7YJKOMD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.05958&json=true","fetch_graph":"https://pith.science/api/pith-number/H7YJKOMDM6UNGS45E6F237JLC2/graph.json","fetch_events":"https://pith.science/api/pith-number/H7YJKOMDM6UNGS45E6F237JLC2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H7YJKOMDM6UNGS45E6F237JLC2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H7YJKOMDM6UNGS45E6F237JLC2/action/storage_attestation","attest_author":"https://pith.science/pith/H7YJKOMDM6UNGS45E6F237JLC2/action/author_attestation","sign_citation":"https://pith.science/pith/H7YJKOMDM6UNGS45E6F237JLC2/action/citation_signature","submit_replication":"https://pith.science/pith/H7YJKOMDM6UNGS45E6F237JLC2/action/replication_record"}},"created_at":"2026-05-18T01:04:17.017843+00:00","updated_at":"2026-05-18T01:04:17.017843+00:00"}