{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:77RDGIJRO64N6WOMMOJGSPSK6R","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":"b4229b24d476718c9822ce1a89b4230e3fe983a8d8d3e760e4d8f5746ad5ff81","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-05T21:04:04Z","title_canon_sha256":"ded6897a202651c3dca08b7bf30b0f3cb9b53d8d4aa192bf8a11d5f1432e9a34"},"schema_version":"1.0","source":{"id":"1411.1418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.1418","created_at":"2026-05-18T01:41:34Z"},{"alias_kind":"arxiv_version","alias_value":"1411.1418v1","created_at":"2026-05-18T01:41:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1418","created_at":"2026-05-18T01:41:34Z"},{"alias_kind":"pith_short_12","alias_value":"77RDGIJRO64N","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"77RDGIJRO64N6WOM","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"77RDGIJR","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:76f7ee23e989bc7a84c914a529cccfc3843ae5ff569edf8ac559b86771d57053","target":"graph","created_at":"2026-05-18T01:41:34Z","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"},"paper":{"abstract_excerpt":"Kreuzer and Skarke famously produced the largest known database of Calabi-Yau threefolds by providing a complete construction of all 473,800,776 reflexive polyhedra that exist in four dimensions. These polyhedra describe the singular limits of ambient toric varieties in which Calabi-Yau threefolds can exist as hypersurfaces. In this paper, we review how to extract topological and geometric information about Calabi-Yau threefolds using the toric construction, and we provide, in a companion online database (see http://nuweb1.neu.edu/cydatabase), a detailed inventory of these quantities which are","authors_text":"Brent D. Nelson, James Gray, Ross Altman, Vishnu Jejjala, Yang-Hui He","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-05T21:04:04Z","title":"A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1418","kind":"arxiv","version":1},"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:b760640f758ce3c7f3e712090f00da9bedc1ef80cc62320f310302fdb31c4bd3","target":"record","created_at":"2026-05-18T01:41:34Z","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":"b4229b24d476718c9822ce1a89b4230e3fe983a8d8d3e760e4d8f5746ad5ff81","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-05T21:04:04Z","title_canon_sha256":"ded6897a202651c3dca08b7bf30b0f3cb9b53d8d4aa192bf8a11d5f1432e9a34"},"schema_version":"1.0","source":{"id":"1411.1418","kind":"arxiv","version":1}},"canonical_sha256":"ffe233213177b8df59cc6392693e4af46c0e51aa94903edcf7c7fe734891b3d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffe233213177b8df59cc6392693e4af46c0e51aa94903edcf7c7fe734891b3d2","first_computed_at":"2026-05-18T01:41:34.641372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:34.641372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B3D8ur2BHHqDUc2LYzj8xH9GXpEA6jnBctLYBtX8tejahN3D5lciyD615wtJajCDqtP5xUOqJ30rss5ujw2uDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:34.642132Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.1418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b760640f758ce3c7f3e712090f00da9bedc1ef80cc62320f310302fdb31c4bd3","sha256:76f7ee23e989bc7a84c914a529cccfc3843ae5ff569edf8ac559b86771d57053"],"state_sha256":"fdb05f6ab0b6e472c00b274350d244a552f7b63bda4978aa459671eb1eb2f775"}