{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:O63IWDRZ7RY5QIJWH2KXD7XQG4","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":"4d246db8ed3f1f08af73db14104c4d5a9b54c621732a513aeb83c0a14b9290e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-03-29T11:47:15Z","title_canon_sha256":"48a1d4d55740463e3c3cf8b7aeb8ce9585a23fce58312e31432a95c03a52253a"},"schema_version":"1.0","source":{"id":"1303.7370","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.7370","created_at":"2026-05-18T03:29:28Z"},{"alias_kind":"arxiv_version","alias_value":"1303.7370v1","created_at":"2026-05-18T03:29:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.7370","created_at":"2026-05-18T03:29:28Z"},{"alias_kind":"pith_short_12","alias_value":"O63IWDRZ7RY5","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"O63IWDRZ7RY5QIJW","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"O63IWDRZ","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:8fa6a9015146d87f0207655fc7140f7511b9ab99579ceb7500f82fc182a6a293","target":"graph","created_at":"2026-05-18T03:29:28Z","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":"In this paper we establish Hermite-Hadamard type inequalities for mappings whose derivatives are s-convex in the second sense and concave.","authors_text":"Erhan Set, Filiz Karakoc, M. Emin Ozdemir, M. Zeki Sarikaya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-03-29T11:47:15Z","title":"Hermite-Hadamard type inequalities for mappings whose derivatives are s-convex in the second sense via fractional integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.7370","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:aa2a2a97b087aa5e3378367c35f88326791905fab9719b4abdf3cf47bb494794","target":"record","created_at":"2026-05-18T03:29:28Z","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":"4d246db8ed3f1f08af73db14104c4d5a9b54c621732a513aeb83c0a14b9290e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-03-29T11:47:15Z","title_canon_sha256":"48a1d4d55740463e3c3cf8b7aeb8ce9585a23fce58312e31432a95c03a52253a"},"schema_version":"1.0","source":{"id":"1303.7370","kind":"arxiv","version":1}},"canonical_sha256":"77b68b0e39fc71d821363e9571fef0371544bdd00ec72010785bb2ecc5c322a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77b68b0e39fc71d821363e9571fef0371544bdd00ec72010785bb2ecc5c322a3","first_computed_at":"2026-05-18T03:29:28.654119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:28.654119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IdT1cFtWjE0vuAsJxZHdMeSdPOC9X4s4ZXc3ioa10x6o29gCGvK3FkB0L21IpLIJvYIAArCOHliticQSFq3vDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:28.654781Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.7370","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa2a2a97b087aa5e3378367c35f88326791905fab9719b4abdf3cf47bb494794","sha256:8fa6a9015146d87f0207655fc7140f7511b9ab99579ceb7500f82fc182a6a293"],"state_sha256":"d267e2639ffd556803f1ab170051a3718661da4b6c746142f8ebbfe146220e62"}