{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:WY73DACIEYSV7GLZH5G6COC6JD","short_pith_number":"pith:WY73DACI","schema_version":"1.0","canonical_sha256":"b63fb1804826255f99793f4de1385e48c20a0fb1740b81d40335e3e5c24c5fc4","source":{"kind":"arxiv","id":"1405.7109","version":2},"attestation_state":"computed","paper":{"title":"Representing Primes as the Form $x^2+ny^2$ in Some Imaginary Quadratic Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Chang Lv, Yingpu Deng","submitted_at":"2014-05-28T03:17:25Z","abstract_excerpt":"We give criteria of the solvability of the diophantine equation $p=x^2+ny^2$ over some imaginary quadratic fields where $p$ is a prime element. The criteria becomes quite simple in special cases."},"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":"1405.7109","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-05-28T03:17:25Z","cross_cats_sorted":[],"title_canon_sha256":"e7ead5b90405445128c1f18ade4bdf8c7b4c84d731fd4c0e04a756f4d0dd65f7","abstract_canon_sha256":"7044c2623f840370dd6d6e88b8af83b8df95120fb961d1ec5887504a979d4555"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:45.487875Z","signature_b64":"FjdmtT40a+h0eKmZVocyPl0bI1OPJSYJ3s+V/EDZsowURgC4Yar+/CaWhAWKLrTPlW7N2rKPCmz3e1NoJLmhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b63fb1804826255f99793f4de1385e48c20a0fb1740b81d40335e3e5c24c5fc4","last_reissued_at":"2026-05-18T02:29:45.487449Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:45.487449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Representing Primes as the Form $x^2+ny^2$ in Some Imaginary Quadratic Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Chang Lv, Yingpu Deng","submitted_at":"2014-05-28T03:17:25Z","abstract_excerpt":"We give criteria of the solvability of the diophantine equation $p=x^2+ny^2$ over some imaginary quadratic fields where $p$ is a prime element. The criteria becomes quite simple in special cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7109","kind":"arxiv","version":2},"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":"1405.7109","created_at":"2026-05-18T02:29:45.487518+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.7109v2","created_at":"2026-05-18T02:29:45.487518+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7109","created_at":"2026-05-18T02:29:45.487518+00:00"},{"alias_kind":"pith_short_12","alias_value":"WY73DACIEYSV","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"WY73DACIEYSV7GLZ","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"WY73DACI","created_at":"2026-05-18T12:28:54.890064+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/WY73DACIEYSV7GLZH5G6COC6JD","json":"https://pith.science/pith/WY73DACIEYSV7GLZH5G6COC6JD.json","graph_json":"https://pith.science/api/pith-number/WY73DACIEYSV7GLZH5G6COC6JD/graph.json","events_json":"https://pith.science/api/pith-number/WY73DACIEYSV7GLZH5G6COC6JD/events.json","paper":"https://pith.science/paper/WY73DACI"},"agent_actions":{"view_html":"https://pith.science/pith/WY73DACIEYSV7GLZH5G6COC6JD","download_json":"https://pith.science/pith/WY73DACIEYSV7GLZH5G6COC6JD.json","view_paper":"https://pith.science/paper/WY73DACI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.7109&json=true","fetch_graph":"https://pith.science/api/pith-number/WY73DACIEYSV7GLZH5G6COC6JD/graph.json","fetch_events":"https://pith.science/api/pith-number/WY73DACIEYSV7GLZH5G6COC6JD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WY73DACIEYSV7GLZH5G6COC6JD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WY73DACIEYSV7GLZH5G6COC6JD/action/storage_attestation","attest_author":"https://pith.science/pith/WY73DACIEYSV7GLZH5G6COC6JD/action/author_attestation","sign_citation":"https://pith.science/pith/WY73DACIEYSV7GLZH5G6COC6JD/action/citation_signature","submit_replication":"https://pith.science/pith/WY73DACIEYSV7GLZH5G6COC6JD/action/replication_record"}},"created_at":"2026-05-18T02:29:45.487518+00:00","updated_at":"2026-05-18T02:29:45.487518+00:00"}