{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WNQXPONSXVUTJRYUC44NFZZUV4","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":"3cb7d14700e0e0042b7e84a9e48dbe9585895cdd988eb2d7a0f5da9cd2a35269","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-10-14T21:16:28Z","title_canon_sha256":"99aa453b888de1eff2c2d1e0430f45b0af189d253500c6cf88e5986032731d33"},"schema_version":"1.0","source":{"id":"1710.05238","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.05238","created_at":"2026-05-18T00:32:38Z"},{"alias_kind":"arxiv_version","alias_value":"1710.05238v2","created_at":"2026-05-18T00:32:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.05238","created_at":"2026-05-18T00:32:38Z"},{"alias_kind":"pith_short_12","alias_value":"WNQXPONSXVUT","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WNQXPONSXVUTJRYU","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WNQXPONS","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:dfbe644271085b36c47c6d266e076db61b9500e3dd6378c779817ccad6fe9327","target":"graph","created_at":"2026-05-18T00:32:38Z","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":"We study some properties convex functions fulfill. Among the conclusions we obtain from such result, we are able to prove some nontrivial inequalities among real numbers, and we give an improvement of the reverse triangle inequality in the particular case where three aligned points are considered in a normed space.","authors_text":"Gustavo Adolfo Mu\\~noz-Fern\\'andez, Juan Benigno Seoane-Sep\\'ulveda, Luis Bernal-Gonz\\'alez, Pablo Jim\\'enez-Rodr\\'iguez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-10-14T21:16:28Z","title":"On inequalities for convex functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.05238","kind":"arxiv","version":2},"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":"sha256:983141490db4e9e26de678f65a9c69d85bc4f3176c5b82c3c3411c0737744fee","target":"record","created_at":"2026-05-18T00:32:38Z","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":"3cb7d14700e0e0042b7e84a9e48dbe9585895cdd988eb2d7a0f5da9cd2a35269","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-10-14T21:16:28Z","title_canon_sha256":"99aa453b888de1eff2c2d1e0430f45b0af189d253500c6cf88e5986032731d33"},"schema_version":"1.0","source":{"id":"1710.05238","kind":"arxiv","version":2}},"canonical_sha256":"b36177b9b2bd6934c7141738d2e734af0d4595a5ef82f50d50b0b253390c4f0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b36177b9b2bd6934c7141738d2e734af0d4595a5ef82f50d50b0b253390c4f0b","first_computed_at":"2026-05-18T00:32:38.439564Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:38.439564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l4+iihNHAwkiTkWGMJlYJag7AMcnnFZO1GpgqxlbmZCVOh7MI1NIbTl5c/0iHQoXPhAkC9gOE59dd3Ae/aWIBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:38.440271Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.05238","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:983141490db4e9e26de678f65a9c69d85bc4f3176c5b82c3c3411c0737744fee","sha256:dfbe644271085b36c47c6d266e076db61b9500e3dd6378c779817ccad6fe9327"],"state_sha256":"f6baaafb3e355263bc5f39472462378ad5978e79fd2f744de5700acb4a9f679b"}