{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:DADWVEDXYZY2GHQURP6W6SYXIL","short_pith_number":"pith:DADWVEDX","schema_version":"1.0","canonical_sha256":"18076a9077c671a31e148bfd6f4b1742c86e2a45e44ae6c0ec2e49184a15a631","source":{"kind":"arxiv","id":"1606.07444","version":1},"attestation_state":"computed","paper":{"title":"Tall sections from non-minimal transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Daniel S. Park, David R. Morrison","submitted_at":"2016-06-23T20:00:03Z","abstract_excerpt":"In previous work, we have shown that elliptic fibrations with two sections, or Mordell-Weil rank one, can always be mapped birationally to a Weierstrass model of a certain form, namely, the Jacobian of a $\\mathbb{P}^{112}$ model. Most constructions of elliptically fibered Calabi-Yau manifolds with two sections have been carried out assuming that the image of this birational map was a \"minimal\" Weierstrass model. In this paper, we show that for some elliptically fibered Calabi-Yau manifolds with Mordell-Weil rank-one, the Jacobian of the $\\mathbb{P}^{112}$ model is not minimal. Said another way"},"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":"1606.07444","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-23T20:00:03Z","cross_cats_sorted":[],"title_canon_sha256":"f214a0bb13d5422467286fe20d16c9850eb44626bd380e2a85a306570059c096","abstract_canon_sha256":"1d56ffd8c57ad3cd0dc05dd5543689e1ed043867b8c79fb17ffb4aabe6633bf1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:34.561707Z","signature_b64":"D8F7qVTArA7LPvUH8K8L7AY2KrxtYWQJZFBUcGxZgAqwXdBRKFqbTCYQqctm834L3yG4S6ooQfFQPlVs9DP+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18076a9077c671a31e148bfd6f4b1742c86e2a45e44ae6c0ec2e49184a15a631","last_reissued_at":"2026-05-18T01:00:34.561208Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:34.561208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tall sections from non-minimal transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Daniel S. Park, David R. Morrison","submitted_at":"2016-06-23T20:00:03Z","abstract_excerpt":"In previous work, we have shown that elliptic fibrations with two sections, or Mordell-Weil rank one, can always be mapped birationally to a Weierstrass model of a certain form, namely, the Jacobian of a $\\mathbb{P}^{112}$ model. Most constructions of elliptically fibered Calabi-Yau manifolds with two sections have been carried out assuming that the image of this birational map was a \"minimal\" Weierstrass model. In this paper, we show that for some elliptically fibered Calabi-Yau manifolds with Mordell-Weil rank-one, the Jacobian of the $\\mathbb{P}^{112}$ model is not minimal. Said another way"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.07444","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":"1606.07444","created_at":"2026-05-18T01:00:34.561287+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.07444v1","created_at":"2026-05-18T01:00:34.561287+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.07444","created_at":"2026-05-18T01:00:34.561287+00:00"},{"alias_kind":"pith_short_12","alias_value":"DADWVEDXYZY2","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"DADWVEDXYZY2GHQU","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"DADWVEDX","created_at":"2026-05-18T12:30:09.641336+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/DADWVEDXYZY2GHQURP6W6SYXIL","json":"https://pith.science/pith/DADWVEDXYZY2GHQURP6W6SYXIL.json","graph_json":"https://pith.science/api/pith-number/DADWVEDXYZY2GHQURP6W6SYXIL/graph.json","events_json":"https://pith.science/api/pith-number/DADWVEDXYZY2GHQURP6W6SYXIL/events.json","paper":"https://pith.science/paper/DADWVEDX"},"agent_actions":{"view_html":"https://pith.science/pith/DADWVEDXYZY2GHQURP6W6SYXIL","download_json":"https://pith.science/pith/DADWVEDXYZY2GHQURP6W6SYXIL.json","view_paper":"https://pith.science/paper/DADWVEDX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.07444&json=true","fetch_graph":"https://pith.science/api/pith-number/DADWVEDXYZY2GHQURP6W6SYXIL/graph.json","fetch_events":"https://pith.science/api/pith-number/DADWVEDXYZY2GHQURP6W6SYXIL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DADWVEDXYZY2GHQURP6W6SYXIL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DADWVEDXYZY2GHQURP6W6SYXIL/action/storage_attestation","attest_author":"https://pith.science/pith/DADWVEDXYZY2GHQURP6W6SYXIL/action/author_attestation","sign_citation":"https://pith.science/pith/DADWVEDXYZY2GHQURP6W6SYXIL/action/citation_signature","submit_replication":"https://pith.science/pith/DADWVEDXYZY2GHQURP6W6SYXIL/action/replication_record"}},"created_at":"2026-05-18T01:00:34.561287+00:00","updated_at":"2026-05-18T01:00:34.561287+00:00"}