{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TCFK42MJWBGLEPBQVTSQ7YYRHH","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":"1fec860cbbfb6df930945a05075dd7ae97719aa9352dd25df72feee504e7a8c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-05-29T10:54:21Z","title_canon_sha256":"48fffb4a4fe14685bb25c601b575ea276669d3c6904517f8bb571cc8e0179e5b"},"schema_version":"1.0","source":{"id":"1105.5778","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.5778","created_at":"2026-05-18T03:59:38Z"},{"alias_kind":"arxiv_version","alias_value":"1105.5778v3","created_at":"2026-05-18T03:59:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5778","created_at":"2026-05-18T03:59:38Z"},{"alias_kind":"pith_short_12","alias_value":"TCFK42MJWBGL","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TCFK42MJWBGLEPBQ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TCFK42MJ","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:79484a5a40da4959b92454665222f7646c09f2d1ffddaa3ed7a57c0af2004c17","target":"graph","created_at":"2026-05-18T03:59:38Z","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":"The aim of this paper is to present some new Fejer-type results for convex functions. Improvements of Young's inequality (the arithmetic-geometric mean inequality) and other applications to special means are pointed as well.","authors_text":"F.-C. Mitroi, N. Minculete","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-05-29T10:54:21Z","title":"Fejer-type inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5778","kind":"arxiv","version":3},"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:de0277687d301d3aa0be6607d7827b98e27fd8ff80e91b2026e458a8763479a8","target":"record","created_at":"2026-05-18T03:59:38Z","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":"1fec860cbbfb6df930945a05075dd7ae97719aa9352dd25df72feee504e7a8c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-05-29T10:54:21Z","title_canon_sha256":"48fffb4a4fe14685bb25c601b575ea276669d3c6904517f8bb571cc8e0179e5b"},"schema_version":"1.0","source":{"id":"1105.5778","kind":"arxiv","version":3}},"canonical_sha256":"988aae6989b04cb23c30ace50fe31139c7ad6ce496ed42a6f4fc309179c20b8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"988aae6989b04cb23c30ace50fe31139c7ad6ce496ed42a6f4fc309179c20b8f","first_computed_at":"2026-05-18T03:59:38.229547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:38.229547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ll+/rdNTFjT65qOlZ0v/m+oWJgCB/zb79Ja8cbmrjqHVYPnB3p4gm+DxR5ZYUMJv5ii7PX48x2MKFzn6Gy7AAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:38.230125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.5778","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de0277687d301d3aa0be6607d7827b98e27fd8ff80e91b2026e458a8763479a8","sha256:79484a5a40da4959b92454665222f7646c09f2d1ffddaa3ed7a57c0af2004c17"],"state_sha256":"64a653d4928e858040561647286d10ba0367264bcba12737817f27db695ef2fd"}