{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GQS25YFOADWEY4Q2JITWN2N6TT","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":"bf02b31aa07ea8b26bd5dc5b392dc5b794e5daf9097c309829488a21e073f448","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-05-23T14:41:36Z","title_canon_sha256":"62cfc4f1b5c0f681eb4d0999069a83e774fcc14433f2611722d35d9e9bdc2503"},"schema_version":"1.0","source":{"id":"1205.5189","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5189","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5189v1","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5189","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"pith_short_12","alias_value":"GQS25YFOADWE","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GQS25YFOADWEY4Q2","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GQS25YFO","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:6ae2cef21a673319ac1ef1285c67aa8c64f53fdfb2ba64f98adeedfc97baba7b","target":"graph","created_at":"2026-05-18T03:55:02Z","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":"We have made some new definitions using the inequalities of Young' and Nesbitt'. And we have given some features of these new definitions. After, we established new Hadamard type inequalities for convex functions in the Young and Nesbitt sense.","authors_text":"Mevlut Tunc","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-05-23T14:41:36Z","title":"Two new definitions on convexity and related inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5189","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":"sha256:160b115834c0eb0c0ce87dcf2d8e4baca512c7003abf3f482068414aad383be6","target":"record","created_at":"2026-05-18T03:55:02Z","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":"bf02b31aa07ea8b26bd5dc5b392dc5b794e5daf9097c309829488a21e073f448","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-05-23T14:41:36Z","title_canon_sha256":"62cfc4f1b5c0f681eb4d0999069a83e774fcc14433f2611722d35d9e9bdc2503"},"schema_version":"1.0","source":{"id":"1205.5189","kind":"arxiv","version":1}},"canonical_sha256":"3425aee0ae00ec4c721a4a2766e9be9ceee1706f8cae9b930b156f160e86c9c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3425aee0ae00ec4c721a4a2766e9be9ceee1706f8cae9b930b156f160e86c9c2","first_computed_at":"2026-05-18T03:55:02.034801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:02.034801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+8jsBr7VyBKpppz534tS8zPM00rwVWQOgwOfsYHaTi9gsNCv+45QkJlX6pbiVyDgpv5a+tasQXDHTX8+rPGNAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:02.035628Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.5189","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:160b115834c0eb0c0ce87dcf2d8e4baca512c7003abf3f482068414aad383be6","sha256:6ae2cef21a673319ac1ef1285c67aa8c64f53fdfb2ba64f98adeedfc97baba7b"],"state_sha256":"a6c6b0657f6ddcb892bd9f91144e59795cc8176c960ec088a88f08647aea154b"}