{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:E7IPV3EXQZ7YETWUC33KDJTLEY","short_pith_number":"pith:E7IPV3EX","schema_version":"1.0","canonical_sha256":"27d0faec97867f824ed416f6a1a66b263a2d5bc9f1ec40f9aa15b24797a1cf27","source":{"kind":"arxiv","id":"1501.05681","version":3},"attestation_state":"computed","paper":{"title":"Families of Calabi-Yau hypersurfaces in $\\mathbb Q$-Fano toric varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Michela Artebani, Paola Comparin, Robin Guilbot","submitted_at":"2015-01-22T22:52:00Z","abstract_excerpt":"We provide a sufficient condition for a general hypersurface in a $\\mathbb Q$-Fano toric variety to be a Calabi-Yau variety in terms of its Newton polytope. Moreover, we define a generalization of the Berglund-H\\\"ubsch-Krawitz construction in case the ambient is a $\\mathbb Q$-Fano toric variety with torsion free class group and the defining polynomial is not necessarily of Delsarte type. Finally, we introduce a duality between families of Calabi-Yau hypersurfaces which includes both Batyrev and Berglund-H\\\"ubsch-Krawitz mirror constructions. This is given in terms of a polar duality between pa"},"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":"1501.05681","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-01-22T22:52:00Z","cross_cats_sorted":[],"title_canon_sha256":"5c7a8aeb50f737b956996d4e2e0000da559c8e04c2c1f72a1acd135bc5fe2df5","abstract_canon_sha256":"8ecc8a3c01f629a8884e71baa119e032045c68d705140ac978ee866d9ddcd43a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:12.438433Z","signature_b64":"NBL0x7FSmt87O5ucksSNIQv8y8pLZSwavNxRBqHP+U/8MKcfMPhpsWqsANQ/fXhuTOCtl0r19hnsEOF+eZmkCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27d0faec97867f824ed416f6a1a66b263a2d5bc9f1ec40f9aa15b24797a1cf27","last_reissued_at":"2026-05-18T01:19:12.437822Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:12.437822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Families of Calabi-Yau hypersurfaces in $\\mathbb Q$-Fano toric varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Michela Artebani, Paola Comparin, Robin Guilbot","submitted_at":"2015-01-22T22:52:00Z","abstract_excerpt":"We provide a sufficient condition for a general hypersurface in a $\\mathbb Q$-Fano toric variety to be a Calabi-Yau variety in terms of its Newton polytope. Moreover, we define a generalization of the Berglund-H\\\"ubsch-Krawitz construction in case the ambient is a $\\mathbb Q$-Fano toric variety with torsion free class group and the defining polynomial is not necessarily of Delsarte type. Finally, we introduce a duality between families of Calabi-Yau hypersurfaces which includes both Batyrev and Berglund-H\\\"ubsch-Krawitz mirror constructions. This is given in terms of a polar duality between pa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.05681","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":""},"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":"1501.05681","created_at":"2026-05-18T01:19:12.437893+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.05681v3","created_at":"2026-05-18T01:19:12.437893+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.05681","created_at":"2026-05-18T01:19:12.437893+00:00"},{"alias_kind":"pith_short_12","alias_value":"E7IPV3EXQZ7Y","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_16","alias_value":"E7IPV3EXQZ7YETWU","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_8","alias_value":"E7IPV3EX","created_at":"2026-05-18T12:29:19.899920+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2403.07139","citing_title":"Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces","ref_index":36,"is_internal_anchor":true},{"citing_arxiv_id":"2605.06998","citing_title":"Beyond Algebraic Superstring Compactification: Part II","ref_index":120,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/E7IPV3EXQZ7YETWUC33KDJTLEY","json":"https://pith.science/pith/E7IPV3EXQZ7YETWUC33KDJTLEY.json","graph_json":"https://pith.science/api/pith-number/E7IPV3EXQZ7YETWUC33KDJTLEY/graph.json","events_json":"https://pith.science/api/pith-number/E7IPV3EXQZ7YETWUC33KDJTLEY/events.json","paper":"https://pith.science/paper/E7IPV3EX"},"agent_actions":{"view_html":"https://pith.science/pith/E7IPV3EXQZ7YETWUC33KDJTLEY","download_json":"https://pith.science/pith/E7IPV3EXQZ7YETWUC33KDJTLEY.json","view_paper":"https://pith.science/paper/E7IPV3EX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.05681&json=true","fetch_graph":"https://pith.science/api/pith-number/E7IPV3EXQZ7YETWUC33KDJTLEY/graph.json","fetch_events":"https://pith.science/api/pith-number/E7IPV3EXQZ7YETWUC33KDJTLEY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E7IPV3EXQZ7YETWUC33KDJTLEY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E7IPV3EXQZ7YETWUC33KDJTLEY/action/storage_attestation","attest_author":"https://pith.science/pith/E7IPV3EXQZ7YETWUC33KDJTLEY/action/author_attestation","sign_citation":"https://pith.science/pith/E7IPV3EXQZ7YETWUC33KDJTLEY/action/citation_signature","submit_replication":"https://pith.science/pith/E7IPV3EXQZ7YETWUC33KDJTLEY/action/replication_record"}},"created_at":"2026-05-18T01:19:12.437893+00:00","updated_at":"2026-05-18T01:19:12.437893+00:00"}