{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:E5XUATIYGKB57QUJ2YY7SLVD3U","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5abda8d1f459f764263146b25a960b98267af111479dbc16a1548575b531e13f","cross_cats_sorted":["math.AT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-01-28T07:22:13Z","title_canon_sha256":"776091993158d508e7917ce2bf62f5d56565e68fed91d041c9e81ba779ccfa52"},"schema_version":"1.0","source":{"id":"2101.11841","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.11841","created_at":"2026-07-05T05:36:28Z"},{"alias_kind":"arxiv_version","alias_value":"2101.11841v3","created_at":"2026-07-05T05:36:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.11841","created_at":"2026-07-05T05:36:28Z"},{"alias_kind":"pith_short_12","alias_value":"E5XUATIYGKB5","created_at":"2026-07-05T05:36:28Z"},{"alias_kind":"pith_short_16","alias_value":"E5XUATIYGKB57QUJ","created_at":"2026-07-05T05:36:28Z"},{"alias_kind":"pith_short_8","alias_value":"E5XUATIY","created_at":"2026-07-05T05:36:28Z"}],"graph_snapshots":[{"event_id":"sha256:0666b47275c0d543e3f4f619ba2c068852cf9457ce19ffdf1fe988c2f2d4dcc6","target":"graph","created_at":"2026-07-05T05:36:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2101.11841/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Naoto Yotsutani","cross_cats":["math.AT","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-01-28T07:22:13Z","title":"Diffeomorphism classes of the doubling Calabi-Yau threefolds with Picard number two"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.11841","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1af67dc47aef1470e7258c38a8b536730c943b659100b471c1b7b67595729d99","target":"record","created_at":"2026-07-05T05:36:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5abda8d1f459f764263146b25a960b98267af111479dbc16a1548575b531e13f","cross_cats_sorted":["math.AT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-01-28T07:22:13Z","title_canon_sha256":"776091993158d508e7917ce2bf62f5d56565e68fed91d041c9e81ba779ccfa52"},"schema_version":"1.0","source":{"id":"2101.11841","kind":"arxiv","version":3}},"canonical_sha256":"276f404d183283dfc289d631f92ea3dd0a9e35dc405383326255e35bfabe5e13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"276f404d183283dfc289d631f92ea3dd0a9e35dc405383326255e35bfabe5e13","first_computed_at":"2026-07-05T05:36:28.841168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:36:28.841168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5wPzbPc+9JtMuVEWPjaT8Ux5lKcigvxHlBP9L7+yyu0rUQogF/TIMVQSGPncYSzhlUWCduzfFXx3Cl8GLnmVDg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:36:28.841621Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.11841","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1af67dc47aef1470e7258c38a8b536730c943b659100b471c1b7b67595729d99","sha256:0666b47275c0d543e3f4f619ba2c068852cf9457ce19ffdf1fe988c2f2d4dcc6"],"state_sha256":"a865ff6066d49a0959718768ac643e86a299f5b726d3dfa849b36d24725f4b1d"}