{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:LHECHW3RWZSRESVU5LJ6JE3EN2","short_pith_number":"pith:LHECHW3R","schema_version":"1.0","canonical_sha256":"59c823db71b665124ab4ead3e493646ebe2afcc25d30c7c7eec190f567405fc7","source":{"kind":"arxiv","id":"2206.04821","version":2},"attestation_state":"computed","paper":{"title":"Moments of zeta and correlations of divisor-sums: stratification and Vandermonde integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Brian Conrey, Siegfred Baluyot","submitted_at":"2022-06-10T00:52:21Z","abstract_excerpt":"We refine a recent heuristic developed by Keating and the second author. Our improvement leads to a new integral expression for the conjectured asymptotic formula for shifted moments of the Riemann zeta-function. This expression is analogous to a formula, recently discovered by Brad Rodgers and Kannan Soundararajan, for moments of characteristic polynomials of random matrices from the unitary group."},"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":"2206.04821","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2022-06-10T00:52:21Z","cross_cats_sorted":[],"title_canon_sha256":"d245e129dc190ca309197a4593871e989d86430cf3732e01fd7eb748e7114165","abstract_canon_sha256":"007f67881767d3155dbb77f11938c0c2def74e8ae1a31846c7b6215da9f986d6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:32:01.216842Z","signature_b64":"bLl7MNXvf+cXRSgSARk5YCj7HuvK3GK73grxUq8HyllceRLWwP/Pl3+7UWf8ZragsIKLQO3B6gLnv9XdPADoCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59c823db71b665124ab4ead3e493646ebe2afcc25d30c7c7eec190f567405fc7","last_reissued_at":"2026-07-05T04:32:01.216452Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:32:01.216452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Moments of zeta and correlations of divisor-sums: stratification and Vandermonde integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Brian Conrey, Siegfred Baluyot","submitted_at":"2022-06-10T00:52:21Z","abstract_excerpt":"We refine a recent heuristic developed by Keating and the second author. Our improvement leads to a new integral expression for the conjectured asymptotic formula for shifted moments of the Riemann zeta-function. This expression is analogous to a formula, recently discovered by Brad Rodgers and Kannan Soundararajan, for moments of characteristic polynomials of random matrices from the unitary group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.04821","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2206.04821/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2206.04821","created_at":"2026-07-05T04:32:01.216511+00:00"},{"alias_kind":"arxiv_version","alias_value":"2206.04821v2","created_at":"2026-07-05T04:32:01.216511+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.04821","created_at":"2026-07-05T04:32:01.216511+00:00"},{"alias_kind":"pith_short_12","alias_value":"LHECHW3RWZSR","created_at":"2026-07-05T04:32:01.216511+00:00"},{"alias_kind":"pith_short_16","alias_value":"LHECHW3RWZSRESVU","created_at":"2026-07-05T04:32:01.216511+00:00"},{"alias_kind":"pith_short_8","alias_value":"LHECHW3R","created_at":"2026-07-05T04:32:01.216511+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/LHECHW3RWZSRESVU5LJ6JE3EN2","json":"https://pith.science/pith/LHECHW3RWZSRESVU5LJ6JE3EN2.json","graph_json":"https://pith.science/api/pith-number/LHECHW3RWZSRESVU5LJ6JE3EN2/graph.json","events_json":"https://pith.science/api/pith-number/LHECHW3RWZSRESVU5LJ6JE3EN2/events.json","paper":"https://pith.science/paper/LHECHW3R"},"agent_actions":{"view_html":"https://pith.science/pith/LHECHW3RWZSRESVU5LJ6JE3EN2","download_json":"https://pith.science/pith/LHECHW3RWZSRESVU5LJ6JE3EN2.json","view_paper":"https://pith.science/paper/LHECHW3R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2206.04821&json=true","fetch_graph":"https://pith.science/api/pith-number/LHECHW3RWZSRESVU5LJ6JE3EN2/graph.json","fetch_events":"https://pith.science/api/pith-number/LHECHW3RWZSRESVU5LJ6JE3EN2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LHECHW3RWZSRESVU5LJ6JE3EN2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LHECHW3RWZSRESVU5LJ6JE3EN2/action/storage_attestation","attest_author":"https://pith.science/pith/LHECHW3RWZSRESVU5LJ6JE3EN2/action/author_attestation","sign_citation":"https://pith.science/pith/LHECHW3RWZSRESVU5LJ6JE3EN2/action/citation_signature","submit_replication":"https://pith.science/pith/LHECHW3RWZSRESVU5LJ6JE3EN2/action/replication_record"}},"created_at":"2026-07-05T04:32:01.216511+00:00","updated_at":"2026-07-05T04:32:01.216511+00:00"}