{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:N777OLJBOGGPUBAOM2C32CU55B","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":"8debf3144c5ae2d52baab4d53af805a5b95dc1070ddce4491c18edfd108d5ff4","cross_cats_sorted":["hep-th","math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1997-10-19T10:37:44Z","title_canon_sha256":"5b1b9864a92bbbd58dad1ca2e958b55dda7349efe549fdc8380571e05105eb42"},"schema_version":"1.0","source":{"id":"alg-geom/9710022","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"alg-geom/9710022","created_at":"2026-07-04T16:02:18Z"},{"alias_kind":"arxiv_version","alias_value":"alg-geom/9710022v1","created_at":"2026-07-04T16:02:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.alg-geom/9710022","created_at":"2026-07-04T16:02:18Z"},{"alias_kind":"pith_short_12","alias_value":"N777OLJBOGGP","created_at":"2026-07-04T16:02:18Z"},{"alias_kind":"pith_short_16","alias_value":"N777OLJBOGGPUBAO","created_at":"2026-07-04T16:02:18Z"},{"alias_kind":"pith_short_8","alias_value":"N777OLJB","created_at":"2026-07-04T16:02:18Z"}],"graph_snapshots":[{"event_id":"sha256:1faeed5048f145332a217bef78aa318c67369a61a2ab9f7bc595e8c6cd3547cf","target":"graph","created_at":"2026-07-04T16:02:18Z","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/alg-geom/9710022/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we show that conifold transitions between Calabi-Yau 3-folds can be used for the construction of mirror manifolds and for the computation of the instanton numbers of rational curves on complete intersection Calabi-Yau 3-folds in Grassmannians. Using a natural degeneration of Grassmannians $G(k,n)$ to some Gorenstein toric Fano varieties $P(k,n)$ with conifolds singularities which was recently described by Sturmfels, we suggest an explicit mirror construction for Calabi-Yau complete intersections $X \\subset G(k,n)$ of arbitrary dimension. Our mirror construction is consistent with","authors_text":"Bumsig Kim, Duco van Straten, Ionunt Ciocan-Fontanine, Victor V. Batyrev","cross_cats":["hep-th","math.AG"],"headline":"","license":"","primary_cat":"alg-geom","submitted_at":"1997-10-19T10:37:44Z","title":"Conifold Transitions and Mirror Symmetry for Calabi-Yau Complete Intersections in Grassmannians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9710022","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:e5005458018227c474e56b762f352904e3a7040680a3acafedbf926b8d0c18cb","target":"record","created_at":"2026-07-04T16:02:18Z","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":"8debf3144c5ae2d52baab4d53af805a5b95dc1070ddce4491c18edfd108d5ff4","cross_cats_sorted":["hep-th","math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1997-10-19T10:37:44Z","title_canon_sha256":"5b1b9864a92bbbd58dad1ca2e958b55dda7349efe549fdc8380571e05105eb42"},"schema_version":"1.0","source":{"id":"alg-geom/9710022","kind":"arxiv","version":1}},"canonical_sha256":"6ffff72d21718cfa040e6685bd0a9de87c5d6a82e47db67c30c57727ce583655","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ffff72d21718cfa040e6685bd0a9de87c5d6a82e47db67c30c57727ce583655","first_computed_at":"2026-07-04T16:02:18.299478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:02:18.299478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PTRRnt1ERlVAJj9UlO29N/IZ5cnpZ03yYO42M6L03CGeQj8WEDc82b0IDvYpjqY/1+2D3pHRE6XgLO7eCPkSCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:02:18.299834Z","signed_message":"canonical_sha256_bytes"},"source_id":"alg-geom/9710022","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5005458018227c474e56b762f352904e3a7040680a3acafedbf926b8d0c18cb","sha256:1faeed5048f145332a217bef78aa318c67369a61a2ab9f7bc595e8c6cd3547cf"],"state_sha256":"d0747269a00034d64c41718294d9b537ff4706b5208f78736297835656498c3e"}