{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:IHVGNSFH6DGU4B3GDQVETJDMND","short_pith_number":"pith:IHVGNSFH","schema_version":"1.0","canonical_sha256":"41ea66c8a7f0cd4e07661c2a49a46c68fbea64e5cb5b97130ed9433efc1c17e1","source":{"kind":"arxiv","id":"1901.08423","version":1},"attestation_state":"computed","paper":{"title":"Sharp upper bounds for fractional moments of the Riemann zeta function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Kannan Soundararajan, Maksym Radziwi\\l\\l, Winston Heap","submitted_at":"2019-01-24T14:20:12Z","abstract_excerpt":"We establish sharp upper bounds for the $2k$th moment of the Riemann zeta function on the critical line, for all real $0 \\leqslant k \\leqslant 2$.\n  This improves on earlier work of Ramachandra, Heath-Brown and Bettin-Chandee-Radziwi\\l\\l"},"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":"1901.08423","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-01-24T14:20:12Z","cross_cats_sorted":[],"title_canon_sha256":"366807707a9c22125750e8f80c26beae2f841f0b86c5876b1d6346eb3fd85e47","abstract_canon_sha256":"22e1004d04d4a41d544202b2c67234e6288a9aded69a40714c4d3261b8d492cf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:35.491930Z","signature_b64":"hFPhwVZEQWuibaCsLgNQWrbXPFMqtMf1lCHUZ9lZGNptgiujTEvHI+YrqHugOhwvVTux6S6WYgXiBSyk6TwJDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41ea66c8a7f0cd4e07661c2a49a46c68fbea64e5cb5b97130ed9433efc1c17e1","last_reissued_at":"2026-05-17T23:55:35.491393Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:35.491393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sharp upper bounds for fractional moments of the Riemann zeta function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Kannan Soundararajan, Maksym Radziwi\\l\\l, Winston Heap","submitted_at":"2019-01-24T14:20:12Z","abstract_excerpt":"We establish sharp upper bounds for the $2k$th moment of the Riemann zeta function on the critical line, for all real $0 \\leqslant k \\leqslant 2$.\n  This improves on earlier work of Ramachandra, Heath-Brown and Bettin-Chandee-Radziwi\\l\\l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.08423","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":"1901.08423","created_at":"2026-05-17T23:55:35.491468+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.08423v1","created_at":"2026-05-17T23:55:35.491468+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.08423","created_at":"2026-05-17T23:55:35.491468+00:00"},{"alias_kind":"pith_short_12","alias_value":"IHVGNSFH6DGU","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"IHVGNSFH6DGU4B3G","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"IHVGNSFH","created_at":"2026-05-18T12:33:18.533446+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/IHVGNSFH6DGU4B3GDQVETJDMND","json":"https://pith.science/pith/IHVGNSFH6DGU4B3GDQVETJDMND.json","graph_json":"https://pith.science/api/pith-number/IHVGNSFH6DGU4B3GDQVETJDMND/graph.json","events_json":"https://pith.science/api/pith-number/IHVGNSFH6DGU4B3GDQVETJDMND/events.json","paper":"https://pith.science/paper/IHVGNSFH"},"agent_actions":{"view_html":"https://pith.science/pith/IHVGNSFH6DGU4B3GDQVETJDMND","download_json":"https://pith.science/pith/IHVGNSFH6DGU4B3GDQVETJDMND.json","view_paper":"https://pith.science/paper/IHVGNSFH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.08423&json=true","fetch_graph":"https://pith.science/api/pith-number/IHVGNSFH6DGU4B3GDQVETJDMND/graph.json","fetch_events":"https://pith.science/api/pith-number/IHVGNSFH6DGU4B3GDQVETJDMND/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IHVGNSFH6DGU4B3GDQVETJDMND/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IHVGNSFH6DGU4B3GDQVETJDMND/action/storage_attestation","attest_author":"https://pith.science/pith/IHVGNSFH6DGU4B3GDQVETJDMND/action/author_attestation","sign_citation":"https://pith.science/pith/IHVGNSFH6DGU4B3GDQVETJDMND/action/citation_signature","submit_replication":"https://pith.science/pith/IHVGNSFH6DGU4B3GDQVETJDMND/action/replication_record"}},"created_at":"2026-05-17T23:55:35.491468+00:00","updated_at":"2026-05-17T23:55:35.491468+00:00"}