{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:B6AWL5RUJ373NZ67OZ3GTLF73S","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":"d8b9dcdddeab3f2db7ca07ce69831e3cdec974cb948f3506796b73ed6522f7f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-06-02T23:17:06Z","title_canon_sha256":"1169030a6213ea384a9683a1129718f7ee807c5580c3ec79a58b7f8d5de0314f"},"schema_version":"1.0","source":{"id":"2406.00890","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00890","created_at":"2026-07-03T01:17:09Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00890v4","created_at":"2026-07-03T01:17:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00890","created_at":"2026-07-03T01:17:09Z"},{"alias_kind":"pith_short_12","alias_value":"B6AWL5RUJ373","created_at":"2026-07-03T01:17:09Z"},{"alias_kind":"pith_short_16","alias_value":"B6AWL5RUJ373NZ67","created_at":"2026-07-03T01:17:09Z"},{"alias_kind":"pith_short_8","alias_value":"B6AWL5RU","created_at":"2026-07-03T01:17:09Z"}],"graph_snapshots":[{"event_id":"sha256:c5bc00c238e92dfc5fe3ccd737275c842f36847ace644c2fe75d00f1ea5c2717","target":"graph","created_at":"2026-07-03T01:17:09Z","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/2406.00890/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a class of perturbations of the Cauchy-Riemann equations for maps from curves to a Calabi-Yau threefold. Our perturbations vanish on components of zero symplectic area. For generic 1-parameter families of perturbations, the locus of solution curves without zero-area components is compact, transversely cut out, and satisfies certain natural coherence properties.\n  For curves without boundary, this yields a reduced Gromov-Witten theory in the sense of Zinger. That is, we produce a well defined invariant given by counting only maps without components of zero symplectic area, and we s","authors_text":"Tobias Ekholm, Vivek Shende","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-06-02T23:17:06Z","title":"Counting bare curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00890","kind":"arxiv","version":4},"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:d79d4fbfb3b9032fa7cd35285a586449380d1c2f390d7f2a9312c70d5e901990","target":"record","created_at":"2026-07-03T01:17:09Z","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":"d8b9dcdddeab3f2db7ca07ce69831e3cdec974cb948f3506796b73ed6522f7f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-06-02T23:17:06Z","title_canon_sha256":"1169030a6213ea384a9683a1129718f7ee807c5580c3ec79a58b7f8d5de0314f"},"schema_version":"1.0","source":{"id":"2406.00890","kind":"arxiv","version":4}},"canonical_sha256":"0f8165f6344effb6e7df767669acbfdc8a51aea9ca6685eda72dc8249f195477","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f8165f6344effb6e7df767669acbfdc8a51aea9ca6685eda72dc8249f195477","first_computed_at":"2026-07-03T01:17:09.927490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-03T01:17:09.927490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4XqAEkGHM7IWdVa19txxAKprEsedgiCVECy1M4UfF8GkJN2/yRf6TTA/0SzJYD5b+yjSaQ1N0BxIU56xEY61BQ==","signature_status":"signed_v1","signed_at":"2026-07-03T01:17:09.927989Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.00890","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d79d4fbfb3b9032fa7cd35285a586449380d1c2f390d7f2a9312c70d5e901990","sha256:c5bc00c238e92dfc5fe3ccd737275c842f36847ace644c2fe75d00f1ea5c2717"],"state_sha256":"347e8e93a1b92a4d3e809967fa8174daef607d16b4230f57ac7594f41c5d3c34"}