{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:6HAFRLXWOT4P5VKHLIEXNCFH6G","short_pith_number":"pith:6HAFRLXW","schema_version":"1.0","canonical_sha256":"f1c058aef674f8fed5475a097688a7f18409cfee8cc80515bbfc8db04665a597","source":{"kind":"arxiv","id":"1311.2391","version":2},"attestation_state":"computed","paper":{"title":"Scalar Flat K\\\"ahler Metrics on Affine Bundles over $\\mathbb{CP}^1$","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Nobuhiro Honda","submitted_at":"2013-11-11T09:40:30Z","abstract_excerpt":"We show that the total space of any affine $\\mathbb{C}$-bundle over $\\mathbb{CP}^1$ with negative degree admits an ALE scalar-flat K\\\"ahler metric. Here the degree of an affine bundle means the negative of the self-intersection number of the section at infinity in a natural compactification of the bundle, and so for line bundles it agrees with the usual notion of the degree."},"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":"1311.2391","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.DG","submitted_at":"2013-11-11T09:40:30Z","cross_cats_sorted":[],"title_canon_sha256":"23d33908403324497352744db6db3916536809ebbe43fd63641f67b134020d5c","abstract_canon_sha256":"3bbe2f85f4ae579abee1391f82e413721f354a9daf4c13405520eb7042fe56bd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:53.498806Z","signature_b64":"6w8Y5BUfh8jVnTPa+bqAwSCTVhUIloUrp2dF0DOlVpXGeAQzQI3/+IV8JTKylPIaVHbxlmjd+JbwIdRVXKkdAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1c058aef674f8fed5475a097688a7f18409cfee8cc80515bbfc8db04665a597","last_reissued_at":"2026-05-18T02:53:53.497982Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:53.497982Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scalar Flat K\\\"ahler Metrics on Affine Bundles over $\\mathbb{CP}^1$","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Nobuhiro Honda","submitted_at":"2013-11-11T09:40:30Z","abstract_excerpt":"We show that the total space of any affine $\\mathbb{C}$-bundle over $\\mathbb{CP}^1$ with negative degree admits an ALE scalar-flat K\\\"ahler metric. Here the degree of an affine bundle means the negative of the self-intersection number of the section at infinity in a natural compactification of the bundle, and so for line bundles it agrees with the usual notion of the degree."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2391","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":"1311.2391","created_at":"2026-05-18T02:53:53.498107+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.2391v2","created_at":"2026-05-18T02:53:53.498107+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2391","created_at":"2026-05-18T02:53:53.498107+00:00"},{"alias_kind":"pith_short_12","alias_value":"6HAFRLXWOT4P","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"6HAFRLXWOT4P5VKH","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"6HAFRLXW","created_at":"2026-05-18T12:27:36.564083+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/6HAFRLXWOT4P5VKHLIEXNCFH6G","json":"https://pith.science/pith/6HAFRLXWOT4P5VKHLIEXNCFH6G.json","graph_json":"https://pith.science/api/pith-number/6HAFRLXWOT4P5VKHLIEXNCFH6G/graph.json","events_json":"https://pith.science/api/pith-number/6HAFRLXWOT4P5VKHLIEXNCFH6G/events.json","paper":"https://pith.science/paper/6HAFRLXW"},"agent_actions":{"view_html":"https://pith.science/pith/6HAFRLXWOT4P5VKHLIEXNCFH6G","download_json":"https://pith.science/pith/6HAFRLXWOT4P5VKHLIEXNCFH6G.json","view_paper":"https://pith.science/paper/6HAFRLXW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.2391&json=true","fetch_graph":"https://pith.science/api/pith-number/6HAFRLXWOT4P5VKHLIEXNCFH6G/graph.json","fetch_events":"https://pith.science/api/pith-number/6HAFRLXWOT4P5VKHLIEXNCFH6G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6HAFRLXWOT4P5VKHLIEXNCFH6G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6HAFRLXWOT4P5VKHLIEXNCFH6G/action/storage_attestation","attest_author":"https://pith.science/pith/6HAFRLXWOT4P5VKHLIEXNCFH6G/action/author_attestation","sign_citation":"https://pith.science/pith/6HAFRLXWOT4P5VKHLIEXNCFH6G/action/citation_signature","submit_replication":"https://pith.science/pith/6HAFRLXWOT4P5VKHLIEXNCFH6G/action/replication_record"}},"created_at":"2026-05-18T02:53:53.498107+00:00","updated_at":"2026-05-18T02:53:53.498107+00:00"}