{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OVJGJH7YSYGXT4XB4JTPSTKBCC","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"531df8bbdc3dd44042d6903f3131040bbaee6914291056bfa9dbecba9d636fc8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.CA","submitted_at":"2014-02-10T10:55:44Z","title_canon_sha256":"f4c1e24c159022496f69737abbb6f9d139d5d3512d5631b36a7033cca7af9eca"},"schema_version":"1.0","source":{"id":"1402.2098","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2098","created_at":"2026-05-18T02:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2098v1","created_at":"2026-05-18T02:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2098","created_at":"2026-05-18T02:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"OVJGJH7YSYGX","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"OVJGJH7YSYGXT4XB","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"OVJGJH7Y","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:173aadec7eedabd7d3f5cebfa8828109ac738ad5b5bf7d068a939fce709cc541","target":"graph","created_at":"2026-05-18T02:59:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"It is proved in this paper that continuum set of $L_2$-orthogonal systems generated by the Riemann zeta-function on the critical line corresponds to every fixed $L_2$-orthogonal system on a fixed segment. This theorem serves as a resource for new set of integrals not accessible by the current methods in the theory of the Riemann zeta-function.\n  \\noindent Dedicated to the 100th anniversary of G.H. Hardy's fundamental theorem: the function $\\zf$ has an infinite set of zeros, \\cite{1}.","authors_text":"Jan Moser","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.CA","submitted_at":"2014-02-10T10:55:44Z","title":"Jacob's ladders, reverse iterations and new infinite set of $L_2$-orthogonal systems generated by the Riemann $\\zf$-function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2098","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5b04bf30fa26e26e5f3526c476ae58a043e61820495c8a9c857fa59d3b00bd73","target":"record","created_at":"2026-05-18T02:59:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"531df8bbdc3dd44042d6903f3131040bbaee6914291056bfa9dbecba9d636fc8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.CA","submitted_at":"2014-02-10T10:55:44Z","title_canon_sha256":"f4c1e24c159022496f69737abbb6f9d139d5d3512d5631b36a7033cca7af9eca"},"schema_version":"1.0","source":{"id":"1402.2098","kind":"arxiv","version":1}},"canonical_sha256":"7552649ff8960d79f2e1e266f94d4110902f10c439881d8d53124c524c3a8077","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7552649ff8960d79f2e1e266f94d4110902f10c439881d8d53124c524c3a8077","first_computed_at":"2026-05-18T02:59:32.320441Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:32.320441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aAF6qWCYYCPWuEaeU1snyvaODrnU5FhQCIu2MZzsacf7aqvn7SxLvEc4Ack6NE7iLNWA5bpdMuXTYd/kE6AbCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:32.321196Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.2098","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b04bf30fa26e26e5f3526c476ae58a043e61820495c8a9c857fa59d3b00bd73","sha256:173aadec7eedabd7d3f5cebfa8828109ac738ad5b5bf7d068a939fce709cc541"],"state_sha256":"0baa9e5e16e8ce1627d980624b4f0ac76f1fd7e492721fcf1f7a41a7a9386eef"}