{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:Q5W7NB3CFXKYR5LELMTPAIIWDD","short_pith_number":"pith:Q5W7NB3C","schema_version":"1.0","canonical_sha256":"876df687622dd588f5645b26f0211618f3c91e36496197480d55450f2a63d247","source":{"kind":"arxiv","id":"2512.20134","version":3},"attestation_state":"computed","paper":{"title":"Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dae-Won Lee, In-Kyun Kim, Masatomo Sawahara","submitted_at":"2025-12-23T07:53:45Z","abstract_excerpt":"In this paper, we study the cylindricity of $\\Bbbk$-forms of singular del Pezzo surfaces obtained by blowing up weighted projective planes $\\mathbb{P}(1,1,m)$ over an arbitrary field $\\Bbbk$ of characteristic zero. As an application, we obtain vertical cylinders on higher-dimensional fibrations whose generic fibers are such $\\Bbbk$-forms."},"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":"2512.20134","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-12-23T07:53:45Z","cross_cats_sorted":[],"title_canon_sha256":"7382eb7675728a61551f32c2b7a647c39c97e64953375870c8e6a9d50338c318","abstract_canon_sha256":"6c46ad2d5abcc5d56b72f14bd00aea1d86dbbf2b047e6b0e250432df982ed9d2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:04:15.255177Z","signature_b64":"Gc+QTDIpU33h/3sHn6Ts4OCLvez/f4QGnhZ9qV06Edp6+e1t+vNQU2oZL4UCpQeDd/XIxBlyZKMhDzUTAySZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"876df687622dd588f5645b26f0211618f3c91e36496197480d55450f2a63d247","last_reissued_at":"2026-06-02T01:04:15.254682Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:04:15.254682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dae-Won Lee, In-Kyun Kim, Masatomo Sawahara","submitted_at":"2025-12-23T07:53:45Z","abstract_excerpt":"In this paper, we study the cylindricity of $\\Bbbk$-forms of singular del Pezzo surfaces obtained by blowing up weighted projective planes $\\mathbb{P}(1,1,m)$ over an arbitrary field $\\Bbbk$ of characteristic zero. As an application, we obtain vertical cylinders on higher-dimensional fibrations whose generic fibers are such $\\Bbbk$-forms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.20134","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2512.20134/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2512.20134","created_at":"2026-06-02T01:04:15.254739+00:00"},{"alias_kind":"arxiv_version","alias_value":"2512.20134v3","created_at":"2026-06-02T01:04:15.254739+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.20134","created_at":"2026-06-02T01:04:15.254739+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q5W7NB3CFXKY","created_at":"2026-06-02T01:04:15.254739+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q5W7NB3CFXKYR5LE","created_at":"2026-06-02T01:04:15.254739+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q5W7NB3C","created_at":"2026-06-02T01:04:15.254739+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/Q5W7NB3CFXKYR5LELMTPAIIWDD","json":"https://pith.science/pith/Q5W7NB3CFXKYR5LELMTPAIIWDD.json","graph_json":"https://pith.science/api/pith-number/Q5W7NB3CFXKYR5LELMTPAIIWDD/graph.json","events_json":"https://pith.science/api/pith-number/Q5W7NB3CFXKYR5LELMTPAIIWDD/events.json","paper":"https://pith.science/paper/Q5W7NB3C"},"agent_actions":{"view_html":"https://pith.science/pith/Q5W7NB3CFXKYR5LELMTPAIIWDD","download_json":"https://pith.science/pith/Q5W7NB3CFXKYR5LELMTPAIIWDD.json","view_paper":"https://pith.science/paper/Q5W7NB3C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2512.20134&json=true","fetch_graph":"https://pith.science/api/pith-number/Q5W7NB3CFXKYR5LELMTPAIIWDD/graph.json","fetch_events":"https://pith.science/api/pith-number/Q5W7NB3CFXKYR5LELMTPAIIWDD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q5W7NB3CFXKYR5LELMTPAIIWDD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q5W7NB3CFXKYR5LELMTPAIIWDD/action/storage_attestation","attest_author":"https://pith.science/pith/Q5W7NB3CFXKYR5LELMTPAIIWDD/action/author_attestation","sign_citation":"https://pith.science/pith/Q5W7NB3CFXKYR5LELMTPAIIWDD/action/citation_signature","submit_replication":"https://pith.science/pith/Q5W7NB3CFXKYR5LELMTPAIIWDD/action/replication_record"}},"created_at":"2026-06-02T01:04:15.254739+00:00","updated_at":"2026-06-02T01:04:15.254739+00:00"}