{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JM2N53QPNWMQ5BAJZRFRFJRZEK","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":"a6fa87255d1835bb07311a20ac40bbd731f5afe9eceab9e174199b7df3e53a98","cross_cats_sorted":["math.FA"],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.CA","submitted_at":"2014-10-05T02:12:48Z","title_canon_sha256":"bb4987b64c7a07fd72c6c66ce5e159c42dd08bf10a571693609264fcb6efad6e"},"schema_version":"1.0","source":{"id":"1410.6186","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.6186","created_at":"2026-05-18T02:39:31Z"},{"alias_kind":"arxiv_version","alias_value":"1410.6186v1","created_at":"2026-05-18T02:39:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.6186","created_at":"2026-05-18T02:39:31Z"},{"alias_kind":"pith_short_12","alias_value":"JM2N53QPNWMQ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JM2N53QPNWMQ5BAJ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JM2N53QP","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:22a0682d02a18f9dcd2018c8a8acf3983ee9e1bbed98453c0d1aafeed1ea1e1d","target":"graph","created_at":"2026-05-18T02:39:31Z","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":"TThe main aim of this paper is to prove that there exist a martingale $f\\in H_{1/2}$ such that Fej\\'er means of Vilenkin-Fourier series of the martingale $f$ is not uniformly bounded in the space $L_{1/2}.$","authors_text":"George Tephnadze","cross_cats":["math.FA"],"headline":"","license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.CA","submitted_at":"2014-10-05T02:12:48Z","title":"Fej\\'er means of Vilenkin-Fourier series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.6186","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":"sha256:2be54bea42723e55a10d1608d6da4701994f90291d8bc2d3ee648403feb034e1","target":"record","created_at":"2026-05-18T02:39:31Z","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":"a6fa87255d1835bb07311a20ac40bbd731f5afe9eceab9e174199b7df3e53a98","cross_cats_sorted":["math.FA"],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.CA","submitted_at":"2014-10-05T02:12:48Z","title_canon_sha256":"bb4987b64c7a07fd72c6c66ce5e159c42dd08bf10a571693609264fcb6efad6e"},"schema_version":"1.0","source":{"id":"1410.6186","kind":"arxiv","version":1}},"canonical_sha256":"4b34deee0f6d990e8409cc4b12a63922b0b04862c6993b8cb15c5bac267f7d20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b34deee0f6d990e8409cc4b12a63922b0b04862c6993b8cb15c5bac267f7d20","first_computed_at":"2026-05-18T02:39:31.418941Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:31.418941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qaz7SBe1FqWXSwLzKHuflZos6JqURXBPZhich8PRXBc2aWgTdE08Pi7ehi79bUcxAHk/dA8EPRitDSb7h/tRBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:31.419579Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.6186","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2be54bea42723e55a10d1608d6da4701994f90291d8bc2d3ee648403feb034e1","sha256:22a0682d02a18f9dcd2018c8a8acf3983ee9e1bbed98453c0d1aafeed1ea1e1d"],"state_sha256":"436eb643ea2489077d400865bccb831646d8e0a62c3e008951ba97d962cce4ff"}