{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GTK5JDCYDK7DO3DFGYPJ2COZSF","short_pith_number":"pith:GTK5JDCY","canonical_record":{"source":{"id":"1401.2946","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-01-07T17:28:44Z","cross_cats_sorted":[],"title_canon_sha256":"bacc5443c9a71dc926b29aefb8ca9765604aa7258835e457b1ad848ca54e1efb","abstract_canon_sha256":"eb35f8f0324315789b976fa484508348ae9b7453c188ea940fbbb1cff9159b5e"},"schema_version":"1.0"},"canonical_sha256":"34d5d48c581abe376c65361e9d09d991542adaeec117baea4c2901b4e0df04d4","source":{"kind":"arxiv","id":"1401.2946","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2946","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2946v1","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2946","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"pith_short_12","alias_value":"GTK5JDCYDK7D","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GTK5JDCYDK7DO3DF","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GTK5JDCY","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GTK5JDCYDK7DO3DFGYPJ2COZSF","target":"record","payload":{"canonical_record":{"source":{"id":"1401.2946","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-01-07T17:28:44Z","cross_cats_sorted":[],"title_canon_sha256":"bacc5443c9a71dc926b29aefb8ca9765604aa7258835e457b1ad848ca54e1efb","abstract_canon_sha256":"eb35f8f0324315789b976fa484508348ae9b7453c188ea940fbbb1cff9159b5e"},"schema_version":"1.0"},"canonical_sha256":"34d5d48c581abe376c65361e9d09d991542adaeec117baea4c2901b4e0df04d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:31.457075Z","signature_b64":"DtM+8swwWxZmdL26VK9uc4+8+6TeTyN36xBAAm2M3qDYZ4hJjTejWArX02nVRAGPXM1xEa/hnaN6jSNXD3bKAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34d5d48c581abe376c65361e9d09d991542adaeec117baea4c2901b4e0df04d4","last_reissued_at":"2026-05-18T03:02:31.456231Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:31.456231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.2946","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":"2026-05-18T03:02:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k/sh93Dk3w/iH2zQ4Rq3KXiRwLWCuyypwKX02fzSVoekZLIc2tMYPh99tbg/kx5kAmgPq0yIYtvYTs/EHhqTDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T11:42:04.675909Z"},"content_sha256":"2b821caa93e350b68c9e9025e5af4ac614d103fc57d9aafff36901b74b9d71cd","schema_version":"1.0","event_id":"sha256:2b821caa93e350b68c9e9025e5af4ac614d103fc57d9aafff36901b74b9d71cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GTK5JDCYDK7DO3DFGYPJ2COZSF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On generalization of different type inequalities for harmonically quasi-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":"2014-01-07T17:28:44Z","abstract_excerpt":"In this paper, we obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-convex functions via Riemann Liouville fractional integral."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2946","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":"2026-05-18T03:02:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/2imaB4fga6OSDolMmwfWlJLu/PUt/uytvbCOQCrc+Wb32xbgRMqMMfQO/c3GU9osMu70YKHcAEEDog8Sip+Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T11:42:04.676251Z"},"content_sha256":"26f2d55aafd9197840d475d633c1fe80d4037dcff14ffd3d37477ba60fce7ca9","schema_version":"1.0","event_id":"sha256:26f2d55aafd9197840d475d633c1fe80d4037dcff14ffd3d37477ba60fce7ca9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GTK5JDCYDK7DO3DFGYPJ2COZSF/bundle.json","state_url":"https://pith.science/pith/GTK5JDCYDK7DO3DFGYPJ2COZSF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GTK5JDCYDK7DO3DFGYPJ2COZSF/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":"2026-06-25T11:42:04Z","links":{"resolver":"https://pith.science/pith/GTK5JDCYDK7DO3DFGYPJ2COZSF","bundle":"https://pith.science/pith/GTK5JDCYDK7DO3DFGYPJ2COZSF/bundle.json","state":"https://pith.science/pith/GTK5JDCYDK7DO3DFGYPJ2COZSF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GTK5JDCYDK7DO3DFGYPJ2COZSF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GTK5JDCYDK7DO3DFGYPJ2COZSF","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":"eb35f8f0324315789b976fa484508348ae9b7453c188ea940fbbb1cff9159b5e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-01-07T17:28:44Z","title_canon_sha256":"bacc5443c9a71dc926b29aefb8ca9765604aa7258835e457b1ad848ca54e1efb"},"schema_version":"1.0","source":{"id":"1401.2946","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2946","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2946v1","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2946","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"pith_short_12","alias_value":"GTK5JDCYDK7D","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GTK5JDCYDK7DO3DF","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GTK5JDCY","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:26f2d55aafd9197840d475d633c1fe80d4037dcff14ffd3d37477ba60fce7ca9","target":"graph","created_at":"2026-05-18T03:02:31Z","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 obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-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":"2014-01-07T17:28:44Z","title":"On generalization of different type inequalities for harmonically quasi-convex functions via fractional integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2946","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":"sha256:2b821caa93e350b68c9e9025e5af4ac614d103fc57d9aafff36901b74b9d71cd","target":"record","created_at":"2026-05-18T03:02:31Z","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":"eb35f8f0324315789b976fa484508348ae9b7453c188ea940fbbb1cff9159b5e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-01-07T17:28:44Z","title_canon_sha256":"bacc5443c9a71dc926b29aefb8ca9765604aa7258835e457b1ad848ca54e1efb"},"schema_version":"1.0","source":{"id":"1401.2946","kind":"arxiv","version":1}},"canonical_sha256":"34d5d48c581abe376c65361e9d09d991542adaeec117baea4c2901b4e0df04d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34d5d48c581abe376c65361e9d09d991542adaeec117baea4c2901b4e0df04d4","first_computed_at":"2026-05-18T03:02:31.456231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:31.456231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DtM+8swwWxZmdL26VK9uc4+8+6TeTyN36xBAAm2M3qDYZ4hJjTejWArX02nVRAGPXM1xEa/hnaN6jSNXD3bKAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:31.457075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.2946","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b821caa93e350b68c9e9025e5af4ac614d103fc57d9aafff36901b74b9d71cd","sha256:26f2d55aafd9197840d475d633c1fe80d4037dcff14ffd3d37477ba60fce7ca9"],"state_sha256":"18ab936ff2278c76f894a6640d7b04096063e8e725c0ddf5c51ca358e082c422"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2PTiLo4oy30iFikcQ4rE27ELmcL9KPbQ41AwJ2fPmThvs/GXZSTFjHeMjBSzcssi0FWkSntjsKtZK2vU+IsqAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T11:42:04.678218Z","bundle_sha256":"6ce432014bdbce92f5e25f98b8f3d9b0e90e632529e809f69d50e63b7d234b4a"}}