{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:Y7SZ7FSJRRMHBKU7ITKITD22GZ","short_pith_number":"pith:Y7SZ7FSJ","schema_version":"1.0","canonical_sha256":"c7e59f96498c5870aa9f44d4898f5a365e4dc7b89f8ce6d8abab8591c39b94ed","source":{"kind":"arxiv","id":"0910.5464","version":1},"attestation_state":"computed","paper":{"title":"A Three-Generation Calabi-Yau Manifold with Small Hodge Numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math.AG"],"primary_cat":"hep-th","authors_text":"Philip Candelas, Rhys Davies, Volker Braun","submitted_at":"2009-10-28T19:07:36Z","abstract_excerpt":"We present a complete intersection Calabi-Yau manifold Y that has Euler number -72 and which admits free actions by two groups of automorphisms of order 12. These are the cyclic group Z_12 and the non-Abelian dicyclic group Dic_3. The quotient manifolds have chi=-6 and Hodge numbers (h^11,h^21)=(1,4). With the standard embedding of the spin connection in the gauge group, Y gives rise to an E_6 gauge theory with 3 chiral generations of particles. The gauge group may be broken further by means of the Hosotani mechanism combined with continuous deformation of the background gauge field. For the n"},"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":"0910.5464","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-10-28T19:07:36Z","cross_cats_sorted":["hep-ph","math.AG"],"title_canon_sha256":"772a455418ecbfd8248a8b68413f0925d2cc81a1856db4cba8284fa54840c03f","abstract_canon_sha256":"e5e37fc2a2f6b4a9f623644d6dfe963f24435d08f1447eed69ab334306bc25fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:12.576735Z","signature_b64":"7fJOyvaJYFMHWyekKcMVYSNpmnUT1pEmptI/3lmEp8meb9VzlK/KkgIMKKrhdhMm24Ctdo71/p3k6MljBlkxCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7e59f96498c5870aa9f44d4898f5a365e4dc7b89f8ce6d8abab8591c39b94ed","last_reissued_at":"2026-05-18T02:34:12.576345Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:12.576345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Three-Generation Calabi-Yau Manifold with Small Hodge Numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math.AG"],"primary_cat":"hep-th","authors_text":"Philip Candelas, Rhys Davies, Volker Braun","submitted_at":"2009-10-28T19:07:36Z","abstract_excerpt":"We present a complete intersection Calabi-Yau manifold Y that has Euler number -72 and which admits free actions by two groups of automorphisms of order 12. These are the cyclic group Z_12 and the non-Abelian dicyclic group Dic_3. The quotient manifolds have chi=-6 and Hodge numbers (h^11,h^21)=(1,4). With the standard embedding of the spin connection in the gauge group, Y gives rise to an E_6 gauge theory with 3 chiral generations of particles. The gauge group may be broken further by means of the Hosotani mechanism combined with continuous deformation of the background gauge field. For the n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5464","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":"0910.5464","created_at":"2026-05-18T02:34:12.576403+00:00"},{"alias_kind":"arxiv_version","alias_value":"0910.5464v1","created_at":"2026-05-18T02:34:12.576403+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5464","created_at":"2026-05-18T02:34:12.576403+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y7SZ7FSJRRMH","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y7SZ7FSJRRMHBKU7","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y7SZ7FSJ","created_at":"2026-05-18T12:26:02.257875+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/Y7SZ7FSJRRMHBKU7ITKITD22GZ","json":"https://pith.science/pith/Y7SZ7FSJRRMHBKU7ITKITD22GZ.json","graph_json":"https://pith.science/api/pith-number/Y7SZ7FSJRRMHBKU7ITKITD22GZ/graph.json","events_json":"https://pith.science/api/pith-number/Y7SZ7FSJRRMHBKU7ITKITD22GZ/events.json","paper":"https://pith.science/paper/Y7SZ7FSJ"},"agent_actions":{"view_html":"https://pith.science/pith/Y7SZ7FSJRRMHBKU7ITKITD22GZ","download_json":"https://pith.science/pith/Y7SZ7FSJRRMHBKU7ITKITD22GZ.json","view_paper":"https://pith.science/paper/Y7SZ7FSJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0910.5464&json=true","fetch_graph":"https://pith.science/api/pith-number/Y7SZ7FSJRRMHBKU7ITKITD22GZ/graph.json","fetch_events":"https://pith.science/api/pith-number/Y7SZ7FSJRRMHBKU7ITKITD22GZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y7SZ7FSJRRMHBKU7ITKITD22GZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y7SZ7FSJRRMHBKU7ITKITD22GZ/action/storage_attestation","attest_author":"https://pith.science/pith/Y7SZ7FSJRRMHBKU7ITKITD22GZ/action/author_attestation","sign_citation":"https://pith.science/pith/Y7SZ7FSJRRMHBKU7ITKITD22GZ/action/citation_signature","submit_replication":"https://pith.science/pith/Y7SZ7FSJRRMHBKU7ITKITD22GZ/action/replication_record"}},"created_at":"2026-05-18T02:34:12.576403+00:00","updated_at":"2026-05-18T02:34:12.576403+00:00"}