{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:7AVLMGL3EVQIGSONBUMTUN2FMB","short_pith_number":"pith:7AVLMGL3","schema_version":"1.0","canonical_sha256":"f82ab6197b25608349cd0d193a37456054ca3ca0c0b029be5ea6fd188e11baed","source":{"kind":"arxiv","id":"1607.03288","version":1},"attestation_state":"computed","paper":{"title":"Critical zeros of lacunary L-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"H. Iwaniec, J.B. Conrey","submitted_at":"2016-07-12T09:52:10Z","abstract_excerpt":"Assuming the existence of a sequence of exceptional discriminants of quadratic fields, we show that a hundred percent of zeros of the Riemann zeta function are on the critical line in specific segments. This is a special case of a more general statement for lacunary $L$-functions."},"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":"1607.03288","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-07-12T09:52:10Z","cross_cats_sorted":[],"title_canon_sha256":"96e88433c7241444c618d2d95eedcb8760e9ebd9c0233b9d871be74002cc348d","abstract_canon_sha256":"0249caa396cfdfa8f168f59140f25064969f7f802d4d93a4b81878bbc61faee3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:09.339975Z","signature_b64":"5C9n7onU4RYlAfIpnHoUpcaA/PlExEu0hZB7GDlYGZ2VXjTyuJXM6sS8rNkUlLi0bwF44nVyCu6EvXdYlGdCAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f82ab6197b25608349cd0d193a37456054ca3ca0c0b029be5ea6fd188e11baed","last_reissued_at":"2026-05-18T01:11:09.339552Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:09.339552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical zeros of lacunary L-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"H. Iwaniec, J.B. Conrey","submitted_at":"2016-07-12T09:52:10Z","abstract_excerpt":"Assuming the existence of a sequence of exceptional discriminants of quadratic fields, we show that a hundred percent of zeros of the Riemann zeta function are on the critical line in specific segments. This is a special case of a more general statement for lacunary $L$-functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.03288","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":"1607.03288","created_at":"2026-05-18T01:11:09.339631+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.03288v1","created_at":"2026-05-18T01:11:09.339631+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.03288","created_at":"2026-05-18T01:11:09.339631+00:00"},{"alias_kind":"pith_short_12","alias_value":"7AVLMGL3EVQI","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"7AVLMGL3EVQIGSON","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"7AVLMGL3","created_at":"2026-05-18T12:30:04.600751+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/7AVLMGL3EVQIGSONBUMTUN2FMB","json":"https://pith.science/pith/7AVLMGL3EVQIGSONBUMTUN2FMB.json","graph_json":"https://pith.science/api/pith-number/7AVLMGL3EVQIGSONBUMTUN2FMB/graph.json","events_json":"https://pith.science/api/pith-number/7AVLMGL3EVQIGSONBUMTUN2FMB/events.json","paper":"https://pith.science/paper/7AVLMGL3"},"agent_actions":{"view_html":"https://pith.science/pith/7AVLMGL3EVQIGSONBUMTUN2FMB","download_json":"https://pith.science/pith/7AVLMGL3EVQIGSONBUMTUN2FMB.json","view_paper":"https://pith.science/paper/7AVLMGL3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.03288&json=true","fetch_graph":"https://pith.science/api/pith-number/7AVLMGL3EVQIGSONBUMTUN2FMB/graph.json","fetch_events":"https://pith.science/api/pith-number/7AVLMGL3EVQIGSONBUMTUN2FMB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7AVLMGL3EVQIGSONBUMTUN2FMB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7AVLMGL3EVQIGSONBUMTUN2FMB/action/storage_attestation","attest_author":"https://pith.science/pith/7AVLMGL3EVQIGSONBUMTUN2FMB/action/author_attestation","sign_citation":"https://pith.science/pith/7AVLMGL3EVQIGSONBUMTUN2FMB/action/citation_signature","submit_replication":"https://pith.science/pith/7AVLMGL3EVQIGSONBUMTUN2FMB/action/replication_record"}},"created_at":"2026-05-18T01:11:09.339631+00:00","updated_at":"2026-05-18T01:11:09.339631+00:00"}