{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:OHPGTVMZO37ZHFP6Q3J2PCA6VK","short_pith_number":"pith:OHPGTVMZ","canonical_record":{"source":{"id":"1208.1641","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-08-08T11:05:32Z","cross_cats_sorted":[],"title_canon_sha256":"7df90fbe8df8302827f533687edfa55f6299ebf8c59d3f3c8312d301cff20690","abstract_canon_sha256":"d3a25d7f73fa55e366056f69df60700c0719b27d83d625ba41820d4306932008"},"schema_version":"1.0"},"canonical_sha256":"71de69d59976ff9395fe86d3a7881eaaab7c52666371ac47ceab8919bbb87930","source":{"kind":"arxiv","id":"1208.1641","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1641","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1641v1","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1641","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"OHPGTVMZO37Z","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OHPGTVMZO37ZHFP6","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OHPGTVMZ","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:OHPGTVMZO37ZHFP6Q3J2PCA6VK","target":"record","payload":{"canonical_record":{"source":{"id":"1208.1641","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-08-08T11:05:32Z","cross_cats_sorted":[],"title_canon_sha256":"7df90fbe8df8302827f533687edfa55f6299ebf8c59d3f3c8312d301cff20690","abstract_canon_sha256":"d3a25d7f73fa55e366056f69df60700c0719b27d83d625ba41820d4306932008"},"schema_version":"1.0"},"canonical_sha256":"71de69d59976ff9395fe86d3a7881eaaab7c52666371ac47ceab8919bbb87930","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:11.021487Z","signature_b64":"jQEhUO+NRa1snqQTPAx/VXrXgOe2/BdiC8KNk0Wez83tcSYVgQDPJAsoWk2UtInUswO/mt9UEXXyCgKLax9uBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71de69d59976ff9395fe86d3a7881eaaab7c52666371ac47ceab8919bbb87930","last_reissued_at":"2026-05-18T03:49:11.020829Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:11.020829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.1641","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:49:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UdPVGcoZ1AeaTaS67aEXjmki11ty5mXxXzKMRIeatuWootuYZmhBzTSr9CF6o53ZMh0zeJrOTIx8TB5YrebFDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T16:57:12.064215Z"},"content_sha256":"cacdb129383e883200de7c0557973e6bcc4a312e1f1fc44e0675b803d4d08d1c","schema_version":"1.0","event_id":"sha256:cacdb129383e883200de7c0557973e6bcc4a312e1f1fc44e0675b803d4d08d1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:OHPGTVMZO37ZHFP6Q3J2PCA6VK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On generalization of different type inequalities for some convex functions via fractional integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Imdat Iscan","submitted_at":"2012-08-08T11:05:32Z","abstract_excerpt":"New identity for fractional integrals have been defined. By using of this identity, we obtained new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for s-convex, quasi-convex, m-convex functions via Riemann Liouville fractional integral."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1641","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:49:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aXGBDNPRQptu+g8DkUIAfpRz+Qq5+T1VLCL58cg+1dn58PDsqCbsWsRoL7ByN0j+xupl7UB2UCebKmuCj5ybDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T16:57:12.064575Z"},"content_sha256":"fc80ff641a78321a0bfe348e31a5ef4fba140cce80e85c26e3631d4c6ebd0611","schema_version":"1.0","event_id":"sha256:fc80ff641a78321a0bfe348e31a5ef4fba140cce80e85c26e3631d4c6ebd0611"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OHPGTVMZO37ZHFP6Q3J2PCA6VK/bundle.json","state_url":"https://pith.science/pith/OHPGTVMZO37ZHFP6Q3J2PCA6VK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OHPGTVMZO37ZHFP6Q3J2PCA6VK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-22T16:57:12Z","links":{"resolver":"https://pith.science/pith/OHPGTVMZO37ZHFP6Q3J2PCA6VK","bundle":"https://pith.science/pith/OHPGTVMZO37ZHFP6Q3J2PCA6VK/bundle.json","state":"https://pith.science/pith/OHPGTVMZO37ZHFP6Q3J2PCA6VK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OHPGTVMZO37ZHFP6Q3J2PCA6VK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OHPGTVMZO37ZHFP6Q3J2PCA6VK","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":"d3a25d7f73fa55e366056f69df60700c0719b27d83d625ba41820d4306932008","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-08-08T11:05:32Z","title_canon_sha256":"7df90fbe8df8302827f533687edfa55f6299ebf8c59d3f3c8312d301cff20690"},"schema_version":"1.0","source":{"id":"1208.1641","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1641","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1641v1","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1641","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"OHPGTVMZO37Z","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OHPGTVMZO37ZHFP6","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OHPGTVMZ","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:fc80ff641a78321a0bfe348e31a5ef4fba140cce80e85c26e3631d4c6ebd0611","target":"graph","created_at":"2026-05-18T03:49:11Z","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":"New identity for fractional integrals have been defined. By using of this identity, we obtained new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for s-convex, quasi-convex, m-convex functions via Riemann Liouville fractional integral.","authors_text":"Imdat Iscan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-08-08T11:05:32Z","title":"On generalization of different type inequalities for some convex functions via fractional integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1641","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:cacdb129383e883200de7c0557973e6bcc4a312e1f1fc44e0675b803d4d08d1c","target":"record","created_at":"2026-05-18T03:49:11Z","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":"d3a25d7f73fa55e366056f69df60700c0719b27d83d625ba41820d4306932008","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-08-08T11:05:32Z","title_canon_sha256":"7df90fbe8df8302827f533687edfa55f6299ebf8c59d3f3c8312d301cff20690"},"schema_version":"1.0","source":{"id":"1208.1641","kind":"arxiv","version":1}},"canonical_sha256":"71de69d59976ff9395fe86d3a7881eaaab7c52666371ac47ceab8919bbb87930","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71de69d59976ff9395fe86d3a7881eaaab7c52666371ac47ceab8919bbb87930","first_computed_at":"2026-05-18T03:49:11.020829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:11.020829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jQEhUO+NRa1snqQTPAx/VXrXgOe2/BdiC8KNk0Wez83tcSYVgQDPJAsoWk2UtInUswO/mt9UEXXyCgKLax9uBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:11.021487Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.1641","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cacdb129383e883200de7c0557973e6bcc4a312e1f1fc44e0675b803d4d08d1c","sha256:fc80ff641a78321a0bfe348e31a5ef4fba140cce80e85c26e3631d4c6ebd0611"],"state_sha256":"24b94782a1c047bdf4c4bd3926712c15d630b2ee95b635d0a16ce229710c9b65"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1fwKVBZQ+o/nUogsQU17pXKav3a9fwMHOrwWsAg2s/FML+9SI43RNNDWr2DOzP+MIW4fRfKlF3SiAEZ86mYFAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T16:57:12.066528Z","bundle_sha256":"f03652bd3e1ffd172c08d41c3e3d9e7492e155d6a324f2850a8d5c4210ac6547"}}