{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:MAY7QGNQRIFNPGU5UMGZUDMPPP","short_pith_number":"pith:MAY7QGNQ","schema_version":"1.0","canonical_sha256":"6031f819b08a0ad79a9da30d9a0d8f7bfe9bae1541ecd5c3006e811676a4ebe5","source":{"kind":"arxiv","id":"1112.5948","version":1},"attestation_state":"computed","paper":{"title":"On the order of the Titchmarsh's sum in the theory of the Riemann zeta-function and on the biquadratic effect in the information theory","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Jan Moser","submitted_at":"2011-12-27T10:17:53Z","abstract_excerpt":"We obtain in this paper the solution of the classical problem on the order of the Titchmarsh's sum (1934). Simultaneously, we obtain a connection of this problem and the Kotelnikoff-Whittaker-Nyquist's theorem from the information theory."},"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":"1112.5948","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.CA","submitted_at":"2011-12-27T10:17:53Z","cross_cats_sorted":[],"title_canon_sha256":"3d2a852c7d4dc3325505367bc95799b110e03895aca3e3dc8913058019256603","abstract_canon_sha256":"e5b1a1110fa8a5bfa3792348707bf33f4281b1b002161b408a1bef045ccf356e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:03.680751Z","signature_b64":"boeA/Y8/ugRqgbg98HfwtG2WFcz94hdxgPOj5LjTLZ35eC3XkHMj+PvCe+V5UdWFZ6m12GjUYzo/K2SXWQWfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6031f819b08a0ad79a9da30d9a0d8f7bfe9bae1541ecd5c3006e811676a4ebe5","last_reissued_at":"2026-05-18T04:01:03.680250Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:03.680250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the order of the Titchmarsh's sum in the theory of the Riemann zeta-function and on the biquadratic effect in the information theory","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Jan Moser","submitted_at":"2011-12-27T10:17:53Z","abstract_excerpt":"We obtain in this paper the solution of the classical problem on the order of the Titchmarsh's sum (1934). Simultaneously, we obtain a connection of this problem and the Kotelnikoff-Whittaker-Nyquist's theorem from the information theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5948","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":"1112.5948","created_at":"2026-05-18T04:01:03.680329+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.5948v1","created_at":"2026-05-18T04:01:03.680329+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5948","created_at":"2026-05-18T04:01:03.680329+00:00"},{"alias_kind":"pith_short_12","alias_value":"MAY7QGNQRIFN","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"MAY7QGNQRIFNPGU5","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"MAY7QGNQ","created_at":"2026-05-18T12:26:34.985390+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.01706","citing_title":"Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence","ref_index":4,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MAY7QGNQRIFNPGU5UMGZUDMPPP","json":"https://pith.science/pith/MAY7QGNQRIFNPGU5UMGZUDMPPP.json","graph_json":"https://pith.science/api/pith-number/MAY7QGNQRIFNPGU5UMGZUDMPPP/graph.json","events_json":"https://pith.science/api/pith-number/MAY7QGNQRIFNPGU5UMGZUDMPPP/events.json","paper":"https://pith.science/paper/MAY7QGNQ"},"agent_actions":{"view_html":"https://pith.science/pith/MAY7QGNQRIFNPGU5UMGZUDMPPP","download_json":"https://pith.science/pith/MAY7QGNQRIFNPGU5UMGZUDMPPP.json","view_paper":"https://pith.science/paper/MAY7QGNQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.5948&json=true","fetch_graph":"https://pith.science/api/pith-number/MAY7QGNQRIFNPGU5UMGZUDMPPP/graph.json","fetch_events":"https://pith.science/api/pith-number/MAY7QGNQRIFNPGU5UMGZUDMPPP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MAY7QGNQRIFNPGU5UMGZUDMPPP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MAY7QGNQRIFNPGU5UMGZUDMPPP/action/storage_attestation","attest_author":"https://pith.science/pith/MAY7QGNQRIFNPGU5UMGZUDMPPP/action/author_attestation","sign_citation":"https://pith.science/pith/MAY7QGNQRIFNPGU5UMGZUDMPPP/action/citation_signature","submit_replication":"https://pith.science/pith/MAY7QGNQRIFNPGU5UMGZUDMPPP/action/replication_record"}},"created_at":"2026-05-18T04:01:03.680329+00:00","updated_at":"2026-05-18T04:01:03.680329+00:00"}