{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:EKJEIFSVZBMTCT3PAZXJGUC7DT","short_pith_number":"pith:EKJEIFSV","schema_version":"1.0","canonical_sha256":"2292441655c859314f6f066e93505f1ce747d99ef9bd2f425bc6433049302083","source":{"kind":"arxiv","id":"1808.07054","version":1},"attestation_state":"computed","paper":{"title":"Characteristic numbers of elliptic fibrations with non-trivial Mordell-Weil groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Mboyo Esole, Monica Jinwoo Kang","submitted_at":"2018-08-21T18:00:00Z","abstract_excerpt":"We compute characteristic numbers of elliptically fibered fourfolds with multisections or non-trivial Mordell-Weil groups. We first consider the models of type E$_{9-d}$ with $d=1,2,3,4$ whose generic fibers are normal elliptic curves of degree $d$. We then analyze the characteristic numbers of the $Q_7$-model, which provides a smooth model for elliptic fibrations of rank one and generalizes the E$_5$, E$_6$, and E$_7$-models. Finally, we examine the characteristic numbers of $G$-models with $G=\\text{SO}(n)$ with $n=3,4,5,6$ and $G=\\text{PSU}(3)$ whose Mordell-Weil groups are respectively $\\ma"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1808.07054","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-21T18:00:00Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"c65187fb7af4cdd7a4fb588b69371ba6497ab3c523fb5c5575df55b3281fe59d","abstract_canon_sha256":"fac125869a282006449f930e463a1fe2776b6bfc12cac637cd7fdd50590360ef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:32.030703Z","signature_b64":"Q/XhjY1ZLITKB25I6mkwHpH6Txn9ya9TG2CzCIdxwjNBGq7H5mZarndUp0ostBKBi4GvASsMsTqNvMgzXj+9AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2292441655c859314f6f066e93505f1ce747d99ef9bd2f425bc6433049302083","last_reissued_at":"2026-05-18T00:07:32.030156Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:32.030156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characteristic numbers of elliptic fibrations with non-trivial Mordell-Weil groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Mboyo Esole, Monica Jinwoo Kang","submitted_at":"2018-08-21T18:00:00Z","abstract_excerpt":"We compute characteristic numbers of elliptically fibered fourfolds with multisections or non-trivial Mordell-Weil groups. We first consider the models of type E$_{9-d}$ with $d=1,2,3,4$ whose generic fibers are normal elliptic curves of degree $d$. We then analyze the characteristic numbers of the $Q_7$-model, which provides a smooth model for elliptic fibrations of rank one and generalizes the E$_5$, E$_6$, and E$_7$-models. Finally, we examine the characteristic numbers of $G$-models with $G=\\text{SO}(n)$ with $n=3,4,5,6$ and $G=\\text{PSU}(3)$ whose Mordell-Weil groups are respectively $\\ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.07054","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":"1808.07054","created_at":"2026-05-18T00:07:32.030256+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.07054v1","created_at":"2026-05-18T00:07:32.030256+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.07054","created_at":"2026-05-18T00:07:32.030256+00:00"},{"alias_kind":"pith_short_12","alias_value":"EKJEIFSVZBMT","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_16","alias_value":"EKJEIFSVZBMTCT3P","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_8","alias_value":"EKJEIFSV","created_at":"2026-05-18T12:32:22.470017+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/EKJEIFSVZBMTCT3PAZXJGUC7DT","json":"https://pith.science/pith/EKJEIFSVZBMTCT3PAZXJGUC7DT.json","graph_json":"https://pith.science/api/pith-number/EKJEIFSVZBMTCT3PAZXJGUC7DT/graph.json","events_json":"https://pith.science/api/pith-number/EKJEIFSVZBMTCT3PAZXJGUC7DT/events.json","paper":"https://pith.science/paper/EKJEIFSV"},"agent_actions":{"view_html":"https://pith.science/pith/EKJEIFSVZBMTCT3PAZXJGUC7DT","download_json":"https://pith.science/pith/EKJEIFSVZBMTCT3PAZXJGUC7DT.json","view_paper":"https://pith.science/paper/EKJEIFSV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.07054&json=true","fetch_graph":"https://pith.science/api/pith-number/EKJEIFSVZBMTCT3PAZXJGUC7DT/graph.json","fetch_events":"https://pith.science/api/pith-number/EKJEIFSVZBMTCT3PAZXJGUC7DT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EKJEIFSVZBMTCT3PAZXJGUC7DT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EKJEIFSVZBMTCT3PAZXJGUC7DT/action/storage_attestation","attest_author":"https://pith.science/pith/EKJEIFSVZBMTCT3PAZXJGUC7DT/action/author_attestation","sign_citation":"https://pith.science/pith/EKJEIFSVZBMTCT3PAZXJGUC7DT/action/citation_signature","submit_replication":"https://pith.science/pith/EKJEIFSVZBMTCT3PAZXJGUC7DT/action/replication_record"}},"created_at":"2026-05-18T00:07:32.030256+00:00","updated_at":"2026-05-18T00:07:32.030256+00:00"}