{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:CS6EFZ2RCPX3T6KOTOHWRFGD26","short_pith_number":"pith:CS6EFZ2R","schema_version":"1.0","canonical_sha256":"14bc42e75113efb9f94e9b8f6894c3d7af037355a03da32bd8c5c77a1114169f","source":{"kind":"arxiv","id":"0907.4534","version":2},"attestation_state":"computed","paper":{"title":"A Tauberian theorem for Ingham summation method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Vytas Zacharovas","submitted_at":"2009-07-27T01:32:14Z","abstract_excerpt":"The aim of this work is to prove a Tauberian theorem for the Ingham summability method. The Tauberian theorem we prove is then applied to analyze asymptotics of mean values of multiplicative functions on natural numbers."},"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":"0907.4534","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-07-27T01:32:14Z","cross_cats_sorted":[],"title_canon_sha256":"cf296b839f09911b51d1fd5bf5230494e418d0b132e0cfc70978b84d99782e2c","abstract_canon_sha256":"90d11816b6f3a8a412889b999f2967347660fbb911481ab174e8fcb0a27c4e53"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:43.979582Z","signature_b64":"Z+sjDQ4S3Q/giIw+yjnWCJ2k2H3M/Lah+ZRR1xNd8RGOui8Hn0AED0naqfFbYFZjhm1Tt3BNYyCZuZ068F+RAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"14bc42e75113efb9f94e9b8f6894c3d7af037355a03da32bd8c5c77a1114169f","last_reissued_at":"2026-05-18T04:24:43.979171Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:43.979171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Tauberian theorem for Ingham summation method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Vytas Zacharovas","submitted_at":"2009-07-27T01:32:14Z","abstract_excerpt":"The aim of this work is to prove a Tauberian theorem for the Ingham summability method. The Tauberian theorem we prove is then applied to analyze asymptotics of mean values of multiplicative functions on natural numbers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.4534","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":"0907.4534","created_at":"2026-05-18T04:24:43.979237+00:00"},{"alias_kind":"arxiv_version","alias_value":"0907.4534v2","created_at":"2026-05-18T04:24:43.979237+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.4534","created_at":"2026-05-18T04:24:43.979237+00:00"},{"alias_kind":"pith_short_12","alias_value":"CS6EFZ2RCPX3","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"CS6EFZ2RCPX3T6KO","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"CS6EFZ2R","created_at":"2026-05-18T12:25:59.703012+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/CS6EFZ2RCPX3T6KOTOHWRFGD26","json":"https://pith.science/pith/CS6EFZ2RCPX3T6KOTOHWRFGD26.json","graph_json":"https://pith.science/api/pith-number/CS6EFZ2RCPX3T6KOTOHWRFGD26/graph.json","events_json":"https://pith.science/api/pith-number/CS6EFZ2RCPX3T6KOTOHWRFGD26/events.json","paper":"https://pith.science/paper/CS6EFZ2R"},"agent_actions":{"view_html":"https://pith.science/pith/CS6EFZ2RCPX3T6KOTOHWRFGD26","download_json":"https://pith.science/pith/CS6EFZ2RCPX3T6KOTOHWRFGD26.json","view_paper":"https://pith.science/paper/CS6EFZ2R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0907.4534&json=true","fetch_graph":"https://pith.science/api/pith-number/CS6EFZ2RCPX3T6KOTOHWRFGD26/graph.json","fetch_events":"https://pith.science/api/pith-number/CS6EFZ2RCPX3T6KOTOHWRFGD26/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CS6EFZ2RCPX3T6KOTOHWRFGD26/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CS6EFZ2RCPX3T6KOTOHWRFGD26/action/storage_attestation","attest_author":"https://pith.science/pith/CS6EFZ2RCPX3T6KOTOHWRFGD26/action/author_attestation","sign_citation":"https://pith.science/pith/CS6EFZ2RCPX3T6KOTOHWRFGD26/action/citation_signature","submit_replication":"https://pith.science/pith/CS6EFZ2RCPX3T6KOTOHWRFGD26/action/replication_record"}},"created_at":"2026-05-18T04:24:43.979237+00:00","updated_at":"2026-05-18T04:24:43.979237+00:00"}