{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QVJNGTH54OBIFXB7JAAPDSR3T3","short_pith_number":"pith:QVJNGTH5","schema_version":"1.0","canonical_sha256":"8552d34cfde38282dc3f4800f1ca3b9ec4a2d2188f3bdbe1a633990d6c370016","source":{"kind":"arxiv","id":"1704.01234","version":1},"attestation_state":"computed","paper":{"title":"Zeros of Dirichlet Polynomials via a Density Criterion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Willian D. Oliveira","submitted_at":"2017-04-05T01:27:40Z","abstract_excerpt":"We obtain a necessary and sufficient condition in order that a semi-plane of the form $\\Re(s)>r$, $r\\in \\mathbb{R}$, is free of zeros of a given Dirichlet polynomial. The result may be considered a natural generalization of a well-known criterion for the truth of the Riemann hypothesis due to B\\'aez-Duarte. An analog for the case of Dirichlet polynomials of a result of Burnol which is closely related to B\\'aez-Duarte's one is also established."},"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":"1704.01234","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-04-05T01:27:40Z","cross_cats_sorted":[],"title_canon_sha256":"c9c4401d63d64c075dde475a23dea7486bd91935ef12935601b00760f3205c28","abstract_canon_sha256":"879df78b2d95b07c5abfed0ee450a137d8d203d5480c9712aad367a3687d9a42"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:58.740189Z","signature_b64":"Oyfy7g5EMqxwjanxZew11bbjBc+xJqzwuR2UoyrVAXUuewB4EccdjC/LLc/BAE71LUzOYFUgu0qHgEDkNXVWCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8552d34cfde38282dc3f4800f1ca3b9ec4a2d2188f3bdbe1a633990d6c370016","last_reissued_at":"2026-05-18T00:46:58.739615Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:58.739615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Zeros of Dirichlet Polynomials via a Density Criterion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Willian D. Oliveira","submitted_at":"2017-04-05T01:27:40Z","abstract_excerpt":"We obtain a necessary and sufficient condition in order that a semi-plane of the form $\\Re(s)>r$, $r\\in \\mathbb{R}$, is free of zeros of a given Dirichlet polynomial. The result may be considered a natural generalization of a well-known criterion for the truth of the Riemann hypothesis due to B\\'aez-Duarte. An analog for the case of Dirichlet polynomials of a result of Burnol which is closely related to B\\'aez-Duarte's one is also established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01234","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":"1704.01234","created_at":"2026-05-18T00:46:58.739706+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.01234v1","created_at":"2026-05-18T00:46:58.739706+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01234","created_at":"2026-05-18T00:46:58.739706+00:00"},{"alias_kind":"pith_short_12","alias_value":"QVJNGTH54OBI","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"QVJNGTH54OBIFXB7","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"QVJNGTH5","created_at":"2026-05-18T12:31:39.905425+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/QVJNGTH54OBIFXB7JAAPDSR3T3","json":"https://pith.science/pith/QVJNGTH54OBIFXB7JAAPDSR3T3.json","graph_json":"https://pith.science/api/pith-number/QVJNGTH54OBIFXB7JAAPDSR3T3/graph.json","events_json":"https://pith.science/api/pith-number/QVJNGTH54OBIFXB7JAAPDSR3T3/events.json","paper":"https://pith.science/paper/QVJNGTH5"},"agent_actions":{"view_html":"https://pith.science/pith/QVJNGTH54OBIFXB7JAAPDSR3T3","download_json":"https://pith.science/pith/QVJNGTH54OBIFXB7JAAPDSR3T3.json","view_paper":"https://pith.science/paper/QVJNGTH5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.01234&json=true","fetch_graph":"https://pith.science/api/pith-number/QVJNGTH54OBIFXB7JAAPDSR3T3/graph.json","fetch_events":"https://pith.science/api/pith-number/QVJNGTH54OBIFXB7JAAPDSR3T3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QVJNGTH54OBIFXB7JAAPDSR3T3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QVJNGTH54OBIFXB7JAAPDSR3T3/action/storage_attestation","attest_author":"https://pith.science/pith/QVJNGTH54OBIFXB7JAAPDSR3T3/action/author_attestation","sign_citation":"https://pith.science/pith/QVJNGTH54OBIFXB7JAAPDSR3T3/action/citation_signature","submit_replication":"https://pith.science/pith/QVJNGTH54OBIFXB7JAAPDSR3T3/action/replication_record"}},"created_at":"2026-05-18T00:46:58.739706+00:00","updated_at":"2026-05-18T00:46:58.739706+00:00"}