{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:I47Y4QOZDXKS4QG3GMNCPXE2AQ","short_pith_number":"pith:I47Y4QOZ","schema_version":"1.0","canonical_sha256":"473f8e41d91dd52e40db331a27dc9a041fd88a203508633150af2a204d51bc3f","source":{"kind":"arxiv","id":"1502.00208","version":2},"attestation_state":"computed","paper":{"title":"Doubling construction of Calabi-Yau fourfolds from toric Fano fourfolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Mamoru Doi, Naoto Yotsutani","submitted_at":"2015-02-01T07:21:21Z","abstract_excerpt":"We give a differential-geometric construction of Calabi-Yau fourfolds by the `doubling' method, which was introduced in \\cite{DY14} to construct Calabi-Yau threefolds. We also give examples of Calabi-Yau fourfolds from toric Fano fourfolds. Ingredients in our construction are \\emph{admissible pairs}, which were first dealt with by Kovalev in \\cite{K03}. Here in this paper an admissible pair $(\\overline{X},D)$ consists of a compact K\\\"{a}hler manifold $\\overline{X}$ and a smooth anticanonical divisor $D$ on $\\overline{X}$. If two admissible pairs $(\\overline{X}_1,D_1)$ and $(\\overline{X}_2,D_2)"},"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":"1502.00208","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-01T07:21:21Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"72db2350a755f980ed77e03c3e7a85eb2683545229ddc9a5774b9ef631bbd169","abstract_canon_sha256":"17e07c4691f9381ef2909783e441c85687177ec74c9586dac4234fdd6eb123b9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:54.234507Z","signature_b64":"o4aLiUcIcQwEqmghLp54jEoG8PqzqB4hRg61+mVmbrJr72hyFGzoGdaTn2TRVzNAUku0fAwjQwcY+hl46zN5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"473f8e41d91dd52e40db331a27dc9a041fd88a203508633150af2a204d51bc3f","last_reissued_at":"2026-05-18T02:09:54.233850Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:54.233850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Doubling construction of Calabi-Yau fourfolds from toric Fano fourfolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Mamoru Doi, Naoto Yotsutani","submitted_at":"2015-02-01T07:21:21Z","abstract_excerpt":"We give a differential-geometric construction of Calabi-Yau fourfolds by the `doubling' method, which was introduced in \\cite{DY14} to construct Calabi-Yau threefolds. We also give examples of Calabi-Yau fourfolds from toric Fano fourfolds. Ingredients in our construction are \\emph{admissible pairs}, which were first dealt with by Kovalev in \\cite{K03}. Here in this paper an admissible pair $(\\overline{X},D)$ consists of a compact K\\\"{a}hler manifold $\\overline{X}$ and a smooth anticanonical divisor $D$ on $\\overline{X}$. If two admissible pairs $(\\overline{X}_1,D_1)$ and $(\\overline{X}_2,D_2)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00208","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":"1502.00208","created_at":"2026-05-18T02:09:54.233940+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.00208v2","created_at":"2026-05-18T02:09:54.233940+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00208","created_at":"2026-05-18T02:09:54.233940+00:00"},{"alias_kind":"pith_short_12","alias_value":"I47Y4QOZDXKS","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"I47Y4QOZDXKS4QG3","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"I47Y4QOZ","created_at":"2026-05-18T12:29:25.134429+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/I47Y4QOZDXKS4QG3GMNCPXE2AQ","json":"https://pith.science/pith/I47Y4QOZDXKS4QG3GMNCPXE2AQ.json","graph_json":"https://pith.science/api/pith-number/I47Y4QOZDXKS4QG3GMNCPXE2AQ/graph.json","events_json":"https://pith.science/api/pith-number/I47Y4QOZDXKS4QG3GMNCPXE2AQ/events.json","paper":"https://pith.science/paper/I47Y4QOZ"},"agent_actions":{"view_html":"https://pith.science/pith/I47Y4QOZDXKS4QG3GMNCPXE2AQ","download_json":"https://pith.science/pith/I47Y4QOZDXKS4QG3GMNCPXE2AQ.json","view_paper":"https://pith.science/paper/I47Y4QOZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.00208&json=true","fetch_graph":"https://pith.science/api/pith-number/I47Y4QOZDXKS4QG3GMNCPXE2AQ/graph.json","fetch_events":"https://pith.science/api/pith-number/I47Y4QOZDXKS4QG3GMNCPXE2AQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I47Y4QOZDXKS4QG3GMNCPXE2AQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I47Y4QOZDXKS4QG3GMNCPXE2AQ/action/storage_attestation","attest_author":"https://pith.science/pith/I47Y4QOZDXKS4QG3GMNCPXE2AQ/action/author_attestation","sign_citation":"https://pith.science/pith/I47Y4QOZDXKS4QG3GMNCPXE2AQ/action/citation_signature","submit_replication":"https://pith.science/pith/I47Y4QOZDXKS4QG3GMNCPXE2AQ/action/replication_record"}},"created_at":"2026-05-18T02:09:54.233940+00:00","updated_at":"2026-05-18T02:09:54.233940+00:00"}