{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:OK7ZBAGE237YJ5PBLNR25YE2FJ","short_pith_number":"pith:OK7ZBAGE","schema_version":"1.0","canonical_sha256":"72bf9080c4d6ff84f5e15b63aee09a2a68dccfd9be2039114421dace6051ace2","source":{"kind":"arxiv","id":"1402.6232","version":3},"attestation_state":"computed","paper":{"title":"Base change for Elliptic Curves over Real Quadratic Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Luis Dieulefait, Nuno Freitas","submitted_at":"2014-02-25T16:36:30Z","abstract_excerpt":"Let E be an elliptic curve over a real quadratic field K and F/K a totally real finite Galois extension. We prove that E/F is modular."},"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":"1402.6232","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-02-25T16:36:30Z","cross_cats_sorted":[],"title_canon_sha256":"e494b5760a730a6334512d6fb5eb4a790c0164896380f29eb290d41a70ec80a8","abstract_canon_sha256":"2777f26481eb1a91460292a11d3e80e0bc374abff9cf6693b2fe57823b8feead"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:10.718560Z","signature_b64":"fEGyI1kwGzSusVP4WYg3Z6LCoAsu1sBCDfb8D3ZqgpEbs7Q1CoezLoIskbXHAU32Px1T/Ez6cnrs32wqzbEmBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72bf9080c4d6ff84f5e15b63aee09a2a68dccfd9be2039114421dace6051ace2","last_reissued_at":"2026-05-18T02:40:10.718083Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:10.718083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Base change for Elliptic Curves over Real Quadratic Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Luis Dieulefait, Nuno Freitas","submitted_at":"2014-02-25T16:36:30Z","abstract_excerpt":"Let E be an elliptic curve over a real quadratic field K and F/K a totally real finite Galois extension. We prove that E/F is modular."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.6232","kind":"arxiv","version":3},"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":"1402.6232","created_at":"2026-05-18T02:40:10.718154+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.6232v3","created_at":"2026-05-18T02:40:10.718154+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.6232","created_at":"2026-05-18T02:40:10.718154+00:00"},{"alias_kind":"pith_short_12","alias_value":"OK7ZBAGE237Y","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"OK7ZBAGE237YJ5PB","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"OK7ZBAGE","created_at":"2026-05-18T12:28:41.024544+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/OK7ZBAGE237YJ5PBLNR25YE2FJ","json":"https://pith.science/pith/OK7ZBAGE237YJ5PBLNR25YE2FJ.json","graph_json":"https://pith.science/api/pith-number/OK7ZBAGE237YJ5PBLNR25YE2FJ/graph.json","events_json":"https://pith.science/api/pith-number/OK7ZBAGE237YJ5PBLNR25YE2FJ/events.json","paper":"https://pith.science/paper/OK7ZBAGE"},"agent_actions":{"view_html":"https://pith.science/pith/OK7ZBAGE237YJ5PBLNR25YE2FJ","download_json":"https://pith.science/pith/OK7ZBAGE237YJ5PBLNR25YE2FJ.json","view_paper":"https://pith.science/paper/OK7ZBAGE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.6232&json=true","fetch_graph":"https://pith.science/api/pith-number/OK7ZBAGE237YJ5PBLNR25YE2FJ/graph.json","fetch_events":"https://pith.science/api/pith-number/OK7ZBAGE237YJ5PBLNR25YE2FJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OK7ZBAGE237YJ5PBLNR25YE2FJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OK7ZBAGE237YJ5PBLNR25YE2FJ/action/storage_attestation","attest_author":"https://pith.science/pith/OK7ZBAGE237YJ5PBLNR25YE2FJ/action/author_attestation","sign_citation":"https://pith.science/pith/OK7ZBAGE237YJ5PBLNR25YE2FJ/action/citation_signature","submit_replication":"https://pith.science/pith/OK7ZBAGE237YJ5PBLNR25YE2FJ/action/replication_record"}},"created_at":"2026-05-18T02:40:10.718154+00:00","updated_at":"2026-05-18T02:40:10.718154+00:00"}