{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HKL5O4BT5AVEATTRM3ZAKTO2FL","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":"7e248b2bb1d5b5f610770f5f3bdbe26f6b70af7b4cc86fa6203056251b322390","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-05-30T20:20:40Z","title_canon_sha256":"3c302f26e716dea15188f5f531d09aa49c213ddd2a5fe12b50662d9628175462"},"schema_version":"1.0","source":{"id":"2606.00876","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.00876","created_at":"2026-06-02T01:04:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.00876v1","created_at":"2026-06-02T01:04:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.00876","created_at":"2026-06-02T01:04:08Z"},{"alias_kind":"pith_short_12","alias_value":"HKL5O4BT5AVE","created_at":"2026-06-02T01:04:08Z"},{"alias_kind":"pith_short_16","alias_value":"HKL5O4BT5AVEATTR","created_at":"2026-06-02T01:04:08Z"},{"alias_kind":"pith_short_8","alias_value":"HKL5O4BT","created_at":"2026-06-02T01:04:08Z"}],"graph_snapshots":[{"event_id":"sha256:2f68661785a64a48fb086cbe41dc361c8fbb96492085283ee808ef030a4ad43d","target":"graph","created_at":"2026-06-02T01:04:08Z","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/2606.00876/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we study the space of smooth genus one curves on del Pezzo threefolds of degree 4 and 5. We describe the irreducible components of the Kontsevich moduli space generically parametrizing genus one stable maps with irreducible domains and classify the irreducible components of the morphism space from general elliptic curves. Our result verifies the Geometric Manin's conjecture for all del Pezzo threefolds of degree 4 and 5 over the complex numbers.","authors_text":"Enhao Feng, Fumiya Okamura","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-05-30T20:20:40Z","title":"Moduli space of genus one curves on quartic and quintic del Pezzo threefolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.00876","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":"sha256:2549850437c65b3cc01c949227eaa18b4b6b93ef0d91636556ed590934881a5c","target":"record","created_at":"2026-06-02T01:04:08Z","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":"7e248b2bb1d5b5f610770f5f3bdbe26f6b70af7b4cc86fa6203056251b322390","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-05-30T20:20:40Z","title_canon_sha256":"3c302f26e716dea15188f5f531d09aa49c213ddd2a5fe12b50662d9628175462"},"schema_version":"1.0","source":{"id":"2606.00876","kind":"arxiv","version":1}},"canonical_sha256":"3a97d77033e82a404e7166f2054dda2ada264caddfaba259b17a5e357fd78e30","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a97d77033e82a404e7166f2054dda2ada264caddfaba259b17a5e357fd78e30","first_computed_at":"2026-06-02T01:04:08.577133Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T01:04:08.577133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oxj1u6teRSPUxZM7q/hsAMiNxcmWHE5ZsUT8NvUyyXzRv39QlsBPYv93cUselJz2EbjCP0T0BlPIYOK+cvlGCA==","signature_status":"signed_v1","signed_at":"2026-06-02T01:04:08.577565Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.00876","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2549850437c65b3cc01c949227eaa18b4b6b93ef0d91636556ed590934881a5c","sha256:2f68661785a64a48fb086cbe41dc361c8fbb96492085283ee808ef030a4ad43d"],"state_sha256":"937c399408d1a46d1789f7e349cc04742b540499e7f1b27997431f9d795736c5"}