{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:XCMIZVKFWBO53QAFYWLVH3UMKS","short_pith_number":"pith:XCMIZVKF","schema_version":"1.0","canonical_sha256":"b8988cd545b05dddc005c59753ee8c54a9dd5ab2e46be19cbcee115e7e467e47","source":{"kind":"arxiv","id":"1503.07411","version":2},"attestation_state":"computed","paper":{"title":"Birational rigidity of del Pezzo fibrations with quotient singularities and its application","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Takuzo Okada","submitted_at":"2015-03-25T15:07:00Z","abstract_excerpt":"In this paper we give a criterion for birational rigidity of del Pezzo fibrations of degree 1 and 2 with only quotient singularities. As an application, we prove birational rigidity of suitable del Pezzo fibrations admitting an action of the Klein simple group."},"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":"1503.07411","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-03-25T15:07:00Z","cross_cats_sorted":[],"title_canon_sha256":"6e50d007851c85586fe07bf57c5ffe63ba47c8449c5171ecf1675ca54cdfed2a","abstract_canon_sha256":"c5a51a027c520ff881fad3ad53e8ae2624ac304a2834ff1432b4e2c780ca4bf2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:35.569542Z","signature_b64":"1xfPOdGekbr8p+IP5WRdr4kPhYvZqz7ssIM6iJk5/FBpwjjFNenKm1iSGxKKikOV/lfFiXxVx+enblj7L0JsAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8988cd545b05dddc005c59753ee8c54a9dd5ab2e46be19cbcee115e7e467e47","last_reissued_at":"2026-05-18T02:19:35.569019Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:35.569019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Birational rigidity of del Pezzo fibrations with quotient singularities and its application","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Takuzo Okada","submitted_at":"2015-03-25T15:07:00Z","abstract_excerpt":"In this paper we give a criterion for birational rigidity of del Pezzo fibrations of degree 1 and 2 with only quotient singularities. As an application, we prove birational rigidity of suitable del Pezzo fibrations admitting an action of the Klein simple group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07411","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":"1503.07411","created_at":"2026-05-18T02:19:35.569104+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.07411v2","created_at":"2026-05-18T02:19:35.569104+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07411","created_at":"2026-05-18T02:19:35.569104+00:00"},{"alias_kind":"pith_short_12","alias_value":"XCMIZVKFWBO5","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_16","alias_value":"XCMIZVKFWBO53QAF","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_8","alias_value":"XCMIZVKF","created_at":"2026-05-18T12:29:50.041715+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/XCMIZVKFWBO53QAFYWLVH3UMKS","json":"https://pith.science/pith/XCMIZVKFWBO53QAFYWLVH3UMKS.json","graph_json":"https://pith.science/api/pith-number/XCMIZVKFWBO53QAFYWLVH3UMKS/graph.json","events_json":"https://pith.science/api/pith-number/XCMIZVKFWBO53QAFYWLVH3UMKS/events.json","paper":"https://pith.science/paper/XCMIZVKF"},"agent_actions":{"view_html":"https://pith.science/pith/XCMIZVKFWBO53QAFYWLVH3UMKS","download_json":"https://pith.science/pith/XCMIZVKFWBO53QAFYWLVH3UMKS.json","view_paper":"https://pith.science/paper/XCMIZVKF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.07411&json=true","fetch_graph":"https://pith.science/api/pith-number/XCMIZVKFWBO53QAFYWLVH3UMKS/graph.json","fetch_events":"https://pith.science/api/pith-number/XCMIZVKFWBO53QAFYWLVH3UMKS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XCMIZVKFWBO53QAFYWLVH3UMKS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XCMIZVKFWBO53QAFYWLVH3UMKS/action/storage_attestation","attest_author":"https://pith.science/pith/XCMIZVKFWBO53QAFYWLVH3UMKS/action/author_attestation","sign_citation":"https://pith.science/pith/XCMIZVKFWBO53QAFYWLVH3UMKS/action/citation_signature","submit_replication":"https://pith.science/pith/XCMIZVKFWBO53QAFYWLVH3UMKS/action/replication_record"}},"created_at":"2026-05-18T02:19:35.569104+00:00","updated_at":"2026-05-18T02:19:35.569104+00:00"}