{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:VKVFM2WGBA7ZL4A6626CSPIGOS","short_pith_number":"pith:VKVFM2WG","schema_version":"1.0","canonical_sha256":"aaaa566ac6083f95f01ef6bc293d0674af4892b981e9cd725670f8121ff74c0b","source":{"kind":"arxiv","id":"1504.03061","version":1},"attestation_state":"computed","paper":{"title":"Geometry of some twistor spaces of algebraic dimension one","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Nobuhiro Honda","submitted_at":"2015-04-13T04:28:20Z","abstract_excerpt":"It is shown that there exists a twistor space on the $n$-fold connected sum of complex projective planes $n\\mathbb{CP}^2$, whose algebraic dimension is one and whose general fiber of the algebraic reduction is birational to an elliptic ruled surface or a K3 surface. The former kind of twistor spaces are constructed over $n\\mathbb{CP}^2$ for any $n\\ge 5$, while the latter kind of example is constructed over $5\\mathbb{CP}^2$. Both of these seem to be the first such example on $n\\mathbb{CP}^2$. The algebraic reduction in these examples is induced by the anti-canonical system of the twistor spaces"},"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":"1504.03061","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-04-13T04:28:20Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"dcdfb4112d32f77997d424c3f870b1f70522fd9a7363dfa9058ae53c928171b9","abstract_canon_sha256":"5b57a3db86896020ae58374a79336ccf15b5989883dcff1e7a05eebbf070b7fa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:59.300475Z","signature_b64":"/SuQI3pTc6tc5crBMeIiS0GE0PYiSQrURMZJcSH9a2pMT5HAKWCLyOEj5RfInlNlxN9Cisa+H6z/M3H+KWkCBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aaaa566ac6083f95f01ef6bc293d0674af4892b981e9cd725670f8121ff74c0b","last_reissued_at":"2026-05-18T02:18:59.299868Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:59.299868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometry of some twistor spaces of algebraic dimension one","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Nobuhiro Honda","submitted_at":"2015-04-13T04:28:20Z","abstract_excerpt":"It is shown that there exists a twistor space on the $n$-fold connected sum of complex projective planes $n\\mathbb{CP}^2$, whose algebraic dimension is one and whose general fiber of the algebraic reduction is birational to an elliptic ruled surface or a K3 surface. The former kind of twistor spaces are constructed over $n\\mathbb{CP}^2$ for any $n\\ge 5$, while the latter kind of example is constructed over $5\\mathbb{CP}^2$. Both of these seem to be the first such example on $n\\mathbb{CP}^2$. The algebraic reduction in these examples is induced by the anti-canonical system of the twistor spaces"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03061","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":"1504.03061","created_at":"2026-05-18T02:18:59.300019+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.03061v1","created_at":"2026-05-18T02:18:59.300019+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03061","created_at":"2026-05-18T02:18:59.300019+00:00"},{"alias_kind":"pith_short_12","alias_value":"VKVFM2WGBA7Z","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"VKVFM2WGBA7ZL4A6","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"VKVFM2WG","created_at":"2026-05-18T12:29:44.643036+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/VKVFM2WGBA7ZL4A6626CSPIGOS","json":"https://pith.science/pith/VKVFM2WGBA7ZL4A6626CSPIGOS.json","graph_json":"https://pith.science/api/pith-number/VKVFM2WGBA7ZL4A6626CSPIGOS/graph.json","events_json":"https://pith.science/api/pith-number/VKVFM2WGBA7ZL4A6626CSPIGOS/events.json","paper":"https://pith.science/paper/VKVFM2WG"},"agent_actions":{"view_html":"https://pith.science/pith/VKVFM2WGBA7ZL4A6626CSPIGOS","download_json":"https://pith.science/pith/VKVFM2WGBA7ZL4A6626CSPIGOS.json","view_paper":"https://pith.science/paper/VKVFM2WG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.03061&json=true","fetch_graph":"https://pith.science/api/pith-number/VKVFM2WGBA7ZL4A6626CSPIGOS/graph.json","fetch_events":"https://pith.science/api/pith-number/VKVFM2WGBA7ZL4A6626CSPIGOS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VKVFM2WGBA7ZL4A6626CSPIGOS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VKVFM2WGBA7ZL4A6626CSPIGOS/action/storage_attestation","attest_author":"https://pith.science/pith/VKVFM2WGBA7ZL4A6626CSPIGOS/action/author_attestation","sign_citation":"https://pith.science/pith/VKVFM2WGBA7ZL4A6626CSPIGOS/action/citation_signature","submit_replication":"https://pith.science/pith/VKVFM2WGBA7ZL4A6626CSPIGOS/action/replication_record"}},"created_at":"2026-05-18T02:18:59.300019+00:00","updated_at":"2026-05-18T02:18:59.300019+00:00"}