{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:2CJDP4Y2GR4BX3H6MUO5XWWLMY","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":"8d75c63d2d9d2ca6ebd700ffcc32d8c07766af9e15f45dafabf5c98ff0833ed3","cross_cats_sorted":["math.AG","math.SG"],"license":"","primary_cat":"hep-th","submitted_at":"2004-10-01T20:53:04Z","title_canon_sha256":"d0d4867340e2145c1d88f81946d7a0535f65626ed64d2713fa4f1427329c410b"},"schema_version":"1.0","source":{"id":"hep-th/0410018","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0410018","created_at":"2026-07-04T16:49:02Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0410018v2","created_at":"2026-07-04T16:49:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0410018","created_at":"2026-07-04T16:49:02Z"},{"alias_kind":"pith_short_12","alias_value":"2CJDP4Y2GR4B","created_at":"2026-07-04T16:49:02Z"},{"alias_kind":"pith_short_16","alias_value":"2CJDP4Y2GR4BX3H6","created_at":"2026-07-04T16:49:02Z"},{"alias_kind":"pith_short_8","alias_value":"2CJDP4Y2","created_at":"2026-07-04T16:49:02Z"}],"graph_snapshots":[{"event_id":"sha256:eaef5e703e8f369f6cb0420b7c9230559c932910c736d0dd8e9dc137e183d07b","target":"graph","created_at":"2026-07-04T16:49:02Z","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/hep-th/0410018/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present the most complete list of mirror pairs of Calabi-Yau complete intersections in toric ambient varieties and develop the methods to solve the topological string and to calculate higher genus amplitudes on these compact Calabi-Yau spaces. These symplectic invariants are used to remove redundancies in examples. The construction of the B-model propagators leads to compatibility conditions, which constrain multi-parameter mirror maps. For K3 fibered Calabi-Yau spaces without reducible fibers we find closed formulas for all genus contributions in the fiber direction from the geometry of th","authors_text":"A. Klemm, E. Riegler, E. Scheidegger, M. Kreuzer","cross_cats":["math.AG","math.SG"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-10-01T20:53:04Z","title":"Topological String Amplitudes, Complete Intersection Calabi-Yau Spaces and Threshold Corrections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0410018","kind":"arxiv","version":2},"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":"sha256:19e3985ef849d248c5cfea84241e6ff2658019b8296a673f996cbe344b77f8d2","target":"record","created_at":"2026-07-04T16:49:02Z","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":"8d75c63d2d9d2ca6ebd700ffcc32d8c07766af9e15f45dafabf5c98ff0833ed3","cross_cats_sorted":["math.AG","math.SG"],"license":"","primary_cat":"hep-th","submitted_at":"2004-10-01T20:53:04Z","title_canon_sha256":"d0d4867340e2145c1d88f81946d7a0535f65626ed64d2713fa4f1427329c410b"},"schema_version":"1.0","source":{"id":"hep-th/0410018","kind":"arxiv","version":2}},"canonical_sha256":"d09237f31a34781becfe651ddbdacb661bad8da6d9d79c9e624c867a95ef21f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d09237f31a34781becfe651ddbdacb661bad8da6d9d79c9e624c867a95ef21f7","first_computed_at":"2026-07-04T16:49:02.587269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:49:02.587269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2cCzZECDVQYYuZILlh1A2xfxeccCOQHOEGkOOfQ9OoTRVrM+U1GVuLwUGxn/+8vM3hseM3P5biJevctR03p/DA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:49:02.587631Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0410018","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19e3985ef849d248c5cfea84241e6ff2658019b8296a673f996cbe344b77f8d2","sha256:eaef5e703e8f369f6cb0420b7c9230559c932910c736d0dd8e9dc137e183d07b"],"state_sha256":"61ef46b053bbe4863d809902c39c3107b934d3400dbcd891a116b94ebe181a65"}