{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:UKBJ4AJ7KYFQHOTRPBKGM5HY7L","short_pith_number":"pith:UKBJ4AJ7","schema_version":"1.0","canonical_sha256":"a2829e013f560b03ba7178546674f8faf6048f6ed373a1e9fdb0389932a43750","source":{"kind":"arxiv","id":"1802.06661","version":1},"attestation_state":"computed","paper":{"title":"On the Abel-Jacobi map of an elliptic surface and the topology of cubic-line arrangements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AG","authors_text":"Hiro-o Tokunaga, Shinzo Bannai","submitted_at":"2018-02-19T15:02:45Z","abstract_excerpt":"Let $S$ be an elliptic surface over a smooth curve $C$ with a section $O$. We denote its generic fiber by $E_S$. For a divisor $D$ on $S$, we canonically associate a $C(C)$-rational point $P_D$. In this note, we give a description of $P_D$ of $E_S$, when the rank of the group of $C(C)$-rational points is one. We apply our description to refine our result on a Zariski pair for a cubic-line arrangement."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1802.06661","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-19T15:02:45Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"7f4e07333bc2d4a63edef87112b74da6b7ed5a5afcabbc09b4db6bb1cf30f74b","abstract_canon_sha256":"679d37ce0cf50321f0fd3d41a29c330cce278a5c2553e8c0c7726eb64b656d38"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:02.646221Z","signature_b64":"6lHF2aj8O2HDL7WLGaVYmLzHb9nAB7NXpVxG8uu5k6eFuS/G31sEw8U30ZSOxNH7gOcoeu4B9jZ6cfeBM0QuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2829e013f560b03ba7178546674f8faf6048f6ed373a1e9fdb0389932a43750","last_reissued_at":"2026-05-18T00:23:02.645542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:02.645542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Abel-Jacobi map of an elliptic surface and the topology of cubic-line arrangements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AG","authors_text":"Hiro-o Tokunaga, Shinzo Bannai","submitted_at":"2018-02-19T15:02:45Z","abstract_excerpt":"Let $S$ be an elliptic surface over a smooth curve $C$ with a section $O$. We denote its generic fiber by $E_S$. For a divisor $D$ on $S$, we canonically associate a $C(C)$-rational point $P_D$. In this note, we give a description of $P_D$ of $E_S$, when the rank of the group of $C(C)$-rational points is one. We apply our description to refine our result on a Zariski pair for a cubic-line arrangement."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.06661","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1802.06661","created_at":"2026-05-18T00:23:02.645650+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.06661v1","created_at":"2026-05-18T00:23:02.645650+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.06661","created_at":"2026-05-18T00:23:02.645650+00:00"},{"alias_kind":"pith_short_12","alias_value":"UKBJ4AJ7KYFQ","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_16","alias_value":"UKBJ4AJ7KYFQHOTR","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_8","alias_value":"UKBJ4AJ7","created_at":"2026-05-18T12:32:56.356000+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UKBJ4AJ7KYFQHOTRPBKGM5HY7L","json":"https://pith.science/pith/UKBJ4AJ7KYFQHOTRPBKGM5HY7L.json","graph_json":"https://pith.science/api/pith-number/UKBJ4AJ7KYFQHOTRPBKGM5HY7L/graph.json","events_json":"https://pith.science/api/pith-number/UKBJ4AJ7KYFQHOTRPBKGM5HY7L/events.json","paper":"https://pith.science/paper/UKBJ4AJ7"},"agent_actions":{"view_html":"https://pith.science/pith/UKBJ4AJ7KYFQHOTRPBKGM5HY7L","download_json":"https://pith.science/pith/UKBJ4AJ7KYFQHOTRPBKGM5HY7L.json","view_paper":"https://pith.science/paper/UKBJ4AJ7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.06661&json=true","fetch_graph":"https://pith.science/api/pith-number/UKBJ4AJ7KYFQHOTRPBKGM5HY7L/graph.json","fetch_events":"https://pith.science/api/pith-number/UKBJ4AJ7KYFQHOTRPBKGM5HY7L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UKBJ4AJ7KYFQHOTRPBKGM5HY7L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UKBJ4AJ7KYFQHOTRPBKGM5HY7L/action/storage_attestation","attest_author":"https://pith.science/pith/UKBJ4AJ7KYFQHOTRPBKGM5HY7L/action/author_attestation","sign_citation":"https://pith.science/pith/UKBJ4AJ7KYFQHOTRPBKGM5HY7L/action/citation_signature","submit_replication":"https://pith.science/pith/UKBJ4AJ7KYFQHOTRPBKGM5HY7L/action/replication_record"}},"created_at":"2026-05-18T00:23:02.645650+00:00","updated_at":"2026-05-18T00:23:02.645650+00:00"}