{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:KCOWVEC2QEJTER6DGRWLXOVBGG","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":"06daf35fb3f38c0ed801971f706e0882a6b4e251b1308fe5e989c2c68848ab8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-01-16T03:40:18Z","title_canon_sha256":"2538216176dad405bf5e48644857df4708e9cd761df801dd0e3555d214dfe0cf"},"schema_version":"1.0","source":{"id":"2501.09269","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.09269","created_at":"2026-07-05T10:01:44Z"},{"alias_kind":"arxiv_version","alias_value":"2501.09269v1","created_at":"2026-07-05T10:01:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.09269","created_at":"2026-07-05T10:01:44Z"},{"alias_kind":"pith_short_12","alias_value":"KCOWVEC2QEJT","created_at":"2026-07-05T10:01:44Z"},{"alias_kind":"pith_short_16","alias_value":"KCOWVEC2QEJTER6D","created_at":"2026-07-05T10:01:44Z"},{"alias_kind":"pith_short_8","alias_value":"KCOWVEC2","created_at":"2026-07-05T10:01:44Z"}],"graph_snapshots":[{"event_id":"sha256:a74e9a0f6b21353edaf609a6c798029421009ff8d162c60f02c6cdaa1ecae1b8","target":"graph","created_at":"2026-07-05T10:01:44Z","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/2501.09269/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe the irreducible components of the moduli spaces of rational curves on Artin-Mumford double solids. This provides the first example of Fano varieties that satisfy Geometric Manin's Conjecture with multiple Manin components in moduli space of rational curves for each degree.","authors_text":"Fumiya Okamura","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-01-16T03:40:18Z","title":"Moduli spaces of rational curves on Artin-Mumford double solids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.09269","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":"sha256:7a23182aade016c006596d3f7ae3850346d4ebd9b45fd9cefcfc2ee77648bf02","target":"record","created_at":"2026-07-05T10:01:44Z","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":"06daf35fb3f38c0ed801971f706e0882a6b4e251b1308fe5e989c2c68848ab8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-01-16T03:40:18Z","title_canon_sha256":"2538216176dad405bf5e48644857df4708e9cd761df801dd0e3555d214dfe0cf"},"schema_version":"1.0","source":{"id":"2501.09269","kind":"arxiv","version":1}},"canonical_sha256":"509d6a905a81133247c3346cbbbaa1318633a7fd7993ff5f11e3afdf02c2c15f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"509d6a905a81133247c3346cbbbaa1318633a7fd7993ff5f11e3afdf02c2c15f","first_computed_at":"2026-07-05T10:01:44.406439Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:01:44.406439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WiNI84gLzh6FK2Kz+RJt8NqImzkBWrCB4b1/u7o4+HaqgY3ou1uA0lTv8Icy+jY/Oyurj4MkfI+g1GDc/FmNAA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:01:44.406883Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.09269","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a23182aade016c006596d3f7ae3850346d4ebd9b45fd9cefcfc2ee77648bf02","sha256:a74e9a0f6b21353edaf609a6c798029421009ff8d162c60f02c6cdaa1ecae1b8"],"state_sha256":"c2a5e94f2fe5f9dc0adfcba2754e5127c0b4ebf2fc239cc50d24c354765f77ca"}