{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:ACA43RRFOSGHTMSILWU2RETMAA","short_pith_number":"pith:ACA43RRF","schema_version":"1.0","canonical_sha256":"0081cdc625748c79b2485da9a8926c003aebb08f1fe9ed56b045b84de1a99a17","source":{"kind":"arxiv","id":"1803.08216","version":1},"attestation_state":"computed","paper":{"title":"Varieties with nef diagonal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Kiwamu Watanabe, Taku Suzuki","submitted_at":"2018-03-22T03:18:55Z","abstract_excerpt":"For a smooth projective variety $X$, we consider when the diagonal $\\Delta_X$ is nef as a cycle on $X\\times X$. In particular, we give a classification of complete intersections and smooth del Pezzo varieties where the diagonal is nef. We also study the nefness of the diagonal for spherical varieties."},"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":"1803.08216","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T03:18:55Z","cross_cats_sorted":[],"title_canon_sha256":"8ec0d85e2e6c931ecbb6f4240fb1630afb114c044780e052799800e62d029dc6","abstract_canon_sha256":"f5134c747b06d7323f59990a3cc27e14bb02e3636f39c77fcde2b302b9b23172"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:23.392687Z","signature_b64":"pIAXdtxFGvLINGLR6jYMrPZ7jPPbTznr+5D+AnlfCel4JY3zTqkIGzaCWJ4olS08m1fd6JsEZnaZgFQu3JK0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0081cdc625748c79b2485da9a8926c003aebb08f1fe9ed56b045b84de1a99a17","last_reissued_at":"2026-05-18T00:20:23.392089Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:23.392089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Varieties with nef diagonal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Kiwamu Watanabe, Taku Suzuki","submitted_at":"2018-03-22T03:18:55Z","abstract_excerpt":"For a smooth projective variety $X$, we consider when the diagonal $\\Delta_X$ is nef as a cycle on $X\\times X$. In particular, we give a classification of complete intersections and smooth del Pezzo varieties where the diagonal is nef. We also study the nefness of the diagonal for spherical varieties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08216","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":"1803.08216","created_at":"2026-05-18T00:20:23.392171+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.08216v1","created_at":"2026-05-18T00:20:23.392171+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08216","created_at":"2026-05-18T00:20:23.392171+00:00"},{"alias_kind":"pith_short_12","alias_value":"ACA43RRFOSGH","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_16","alias_value":"ACA43RRFOSGHTMSI","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_8","alias_value":"ACA43RRF","created_at":"2026-05-18T12:32:13.499390+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/ACA43RRFOSGHTMSILWU2RETMAA","json":"https://pith.science/pith/ACA43RRFOSGHTMSILWU2RETMAA.json","graph_json":"https://pith.science/api/pith-number/ACA43RRFOSGHTMSILWU2RETMAA/graph.json","events_json":"https://pith.science/api/pith-number/ACA43RRFOSGHTMSILWU2RETMAA/events.json","paper":"https://pith.science/paper/ACA43RRF"},"agent_actions":{"view_html":"https://pith.science/pith/ACA43RRFOSGHTMSILWU2RETMAA","download_json":"https://pith.science/pith/ACA43RRFOSGHTMSILWU2RETMAA.json","view_paper":"https://pith.science/paper/ACA43RRF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.08216&json=true","fetch_graph":"https://pith.science/api/pith-number/ACA43RRFOSGHTMSILWU2RETMAA/graph.json","fetch_events":"https://pith.science/api/pith-number/ACA43RRFOSGHTMSILWU2RETMAA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ACA43RRFOSGHTMSILWU2RETMAA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ACA43RRFOSGHTMSILWU2RETMAA/action/storage_attestation","attest_author":"https://pith.science/pith/ACA43RRFOSGHTMSILWU2RETMAA/action/author_attestation","sign_citation":"https://pith.science/pith/ACA43RRFOSGHTMSILWU2RETMAA/action/citation_signature","submit_replication":"https://pith.science/pith/ACA43RRFOSGHTMSILWU2RETMAA/action/replication_record"}},"created_at":"2026-05-18T00:20:23.392171+00:00","updated_at":"2026-05-18T00:20:23.392171+00:00"}