{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:E5XUATIYGKB57QUJ2YY7SLVD3U","short_pith_number":"pith:E5XUATIY","schema_version":"1.0","canonical_sha256":"276f404d183283dfc289d631f92ea3dd0a9e35dc405383326255e35bfabe5e13","source":{"kind":"arxiv","id":"2101.11841","version":3},"attestation_state":"computed","paper":{"title":"Diffeomorphism classes of the doubling Calabi-Yau threefolds with Picard number two","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.DG"],"primary_cat":"math.AG","authors_text":"Naoto Yotsutani","submitted_at":"2021-01-28T07:22:13Z","abstract_excerpt":"Previously we constructed Calabi-Yau threefolds by a differential-geometric gluing method using Fano threefolds with their smooth anticanonical $K3$ divisors (New York J. Math. 20: 1-33, 2014). In this paper, we further consider the diffeomorphism classes of the resulting Calabi-Yau threefolds (which are called the doubling Calabi-Yau threefolds) starting from different pairs of Fano threefolds with Picard number one. Using the classifications of simply-connected $6$-manifolds in differential topology and the $\\lambda$-invariant introduced by Lee (J. Math. Pures Appl. 141: 195-219, 2020), we p"},"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":"2101.11841","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-01-28T07:22:13Z","cross_cats_sorted":["math.AT","math.DG"],"title_canon_sha256":"776091993158d508e7917ce2bf62f5d56565e68fed91d041c9e81ba779ccfa52","abstract_canon_sha256":"5abda8d1f459f764263146b25a960b98267af111479dbc16a1548575b531e13f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:36:28.841621Z","signature_b64":"5wPzbPc+9JtMuVEWPjaT8Ux5lKcigvxHlBP9L7+yyu0rUQogF/TIMVQSGPncYSzhlUWCduzfFXx3Cl8GLnmVDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"276f404d183283dfc289d631f92ea3dd0a9e35dc405383326255e35bfabe5e13","last_reissued_at":"2026-07-05T05:36:28.841168Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:36:28.841168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diffeomorphism classes of the doubling Calabi-Yau threefolds with Picard number two","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.DG"],"primary_cat":"math.AG","authors_text":"Naoto Yotsutani","submitted_at":"2021-01-28T07:22:13Z","abstract_excerpt":"Previously we constructed Calabi-Yau threefolds by a differential-geometric gluing method using Fano threefolds with their smooth anticanonical $K3$ divisors (New York J. Math. 20: 1-33, 2014). In this paper, we further consider the diffeomorphism classes of the resulting Calabi-Yau threefolds (which are called the doubling Calabi-Yau threefolds) starting from different pairs of Fano threefolds with Picard number one. Using the classifications of simply-connected $6$-manifolds in differential topology and the $\\lambda$-invariant introduced by Lee (J. Math. Pures Appl. 141: 195-219, 2020), we p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.11841","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/2101.11841/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":"2101.11841","created_at":"2026-07-05T05:36:28.841220+00:00"},{"alias_kind":"arxiv_version","alias_value":"2101.11841v3","created_at":"2026-07-05T05:36:28.841220+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.11841","created_at":"2026-07-05T05:36:28.841220+00:00"},{"alias_kind":"pith_short_12","alias_value":"E5XUATIYGKB5","created_at":"2026-07-05T05:36:28.841220+00:00"},{"alias_kind":"pith_short_16","alias_value":"E5XUATIYGKB57QUJ","created_at":"2026-07-05T05:36:28.841220+00:00"},{"alias_kind":"pith_short_8","alias_value":"E5XUATIY","created_at":"2026-07-05T05:36:28.841220+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.11235","citing_title":"Smoothing toroidal crossing spaces","ref_index":55,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/E5XUATIYGKB57QUJ2YY7SLVD3U","json":"https://pith.science/pith/E5XUATIYGKB57QUJ2YY7SLVD3U.json","graph_json":"https://pith.science/api/pith-number/E5XUATIYGKB57QUJ2YY7SLVD3U/graph.json","events_json":"https://pith.science/api/pith-number/E5XUATIYGKB57QUJ2YY7SLVD3U/events.json","paper":"https://pith.science/paper/E5XUATIY"},"agent_actions":{"view_html":"https://pith.science/pith/E5XUATIYGKB57QUJ2YY7SLVD3U","download_json":"https://pith.science/pith/E5XUATIYGKB57QUJ2YY7SLVD3U.json","view_paper":"https://pith.science/paper/E5XUATIY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2101.11841&json=true","fetch_graph":"https://pith.science/api/pith-number/E5XUATIYGKB57QUJ2YY7SLVD3U/graph.json","fetch_events":"https://pith.science/api/pith-number/E5XUATIYGKB57QUJ2YY7SLVD3U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E5XUATIYGKB57QUJ2YY7SLVD3U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E5XUATIYGKB57QUJ2YY7SLVD3U/action/storage_attestation","attest_author":"https://pith.science/pith/E5XUATIYGKB57QUJ2YY7SLVD3U/action/author_attestation","sign_citation":"https://pith.science/pith/E5XUATIYGKB57QUJ2YY7SLVD3U/action/citation_signature","submit_replication":"https://pith.science/pith/E5XUATIYGKB57QUJ2YY7SLVD3U/action/replication_record"}},"created_at":"2026-07-05T05:36:28.841220+00:00","updated_at":"2026-07-05T05:36:28.841220+00:00"}