{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:F3SBAQDDQ4WQYTRBCSPPM7GAHM","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":"8911f6d902ab280e8fa342272e0b5f1f8bf084b0732154313c039419ade183b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-07T00:37:47Z","title_canon_sha256":"2fc2bac62909c26ace3c7a0583d3e97c00a9d6ee54c36bd7efdc51e5aed07af3"},"schema_version":"1.0","source":{"id":"1611.01864","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.01864","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1611.01864v2","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01864","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"F3SBAQDDQ4WQ","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"F3SBAQDDQ4WQYTRB","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"F3SBAQDD","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:b79f40ab76dc8300b525d0f2f43d8cdf5e01161ecf08b438b4c74019cf5dff66","target":"graph","created_at":"2026-05-18T00:56:11Z","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"},"paper":{"abstract_excerpt":"In this article, we continue to study the geometry of bisections of certain rational elliptic surfaces. As an application, we give examples of Zariski N + 1-plets of degree 2N + 4 whose irreducible components are an irreducible quartic curve with 2 nodes and N smooth conics. Furthermore, by considering the case of N = 2 and combining with known results, a new Zariski 5-plet for reduced plane curves of degree 8 is given.","authors_text":"Hiro-o Tokunaga, Shinzo Bannai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-07T00:37:47Z","title":"Geometry of bisections of elliptic surfaces and Zariski $N$-plets II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01864","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":"sha256:0f8415753f95784ff31efcab117e6d58ce11ec948aa43145703c6e5c3a076fbf","target":"record","created_at":"2026-05-18T00:56:11Z","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":"8911f6d902ab280e8fa342272e0b5f1f8bf084b0732154313c039419ade183b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-07T00:37:47Z","title_canon_sha256":"2fc2bac62909c26ace3c7a0583d3e97c00a9d6ee54c36bd7efdc51e5aed07af3"},"schema_version":"1.0","source":{"id":"1611.01864","kind":"arxiv","version":2}},"canonical_sha256":"2ee4104063872d0c4e21149ef67cc03b1312434de6499b4e269e23b104c07bbb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ee4104063872d0c4e21149ef67cc03b1312434de6499b4e269e23b104c07bbb","first_computed_at":"2026-05-18T00:56:11.812451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:11.812451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IPum7YPi20O+WeioVXg9iG37l1LmZKQ4X3VOCAlCQ1UwssVOmxZYcEO5pnPxS2/DvPIDzIqI5TV9n/siCgU3DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:11.812908Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.01864","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f8415753f95784ff31efcab117e6d58ce11ec948aa43145703c6e5c3a076fbf","sha256:b79f40ab76dc8300b525d0f2f43d8cdf5e01161ecf08b438b4c74019cf5dff66"],"state_sha256":"2df8808e61233409f79fb5120fb6e4477e495c08b88108456a416f7a498eb918"}