{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4BEGH7VFFWMC5ZPWVOHZHXNE2E","short_pith_number":"pith:4BEGH7VF","canonical_record":{"source":{"id":"1312.7666","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-12-30T09:37:50Z","cross_cats_sorted":[],"title_canon_sha256":"f212d01d4b4136b6ff20fef459f8fd55ae327a8c0745d44a9dc82c856c4812a2","abstract_canon_sha256":"403df90f891868b3f6e73235e962d5c292e008c7006ef4a4830e45960d6952d5"},"schema_version":"1.0"},"canonical_sha256":"e04863fea52d982ee5f6ab8f93dda4d13414eeb08e62b0c9e5c50d3a354c2389","source":{"kind":"arxiv","id":"1312.7666","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7666","created_at":"2026-05-18T03:03:31Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7666v2","created_at":"2026-05-18T03:03:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7666","created_at":"2026-05-18T03:03:31Z"},{"alias_kind":"pith_short_12","alias_value":"4BEGH7VFFWMC","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"4BEGH7VFFWMC5ZPW","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"4BEGH7VF","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4BEGH7VFFWMC5ZPWVOHZHXNE2E","target":"record","payload":{"canonical_record":{"source":{"id":"1312.7666","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-12-30T09:37:50Z","cross_cats_sorted":[],"title_canon_sha256":"f212d01d4b4136b6ff20fef459f8fd55ae327a8c0745d44a9dc82c856c4812a2","abstract_canon_sha256":"403df90f891868b3f6e73235e962d5c292e008c7006ef4a4830e45960d6952d5"},"schema_version":"1.0"},"canonical_sha256":"e04863fea52d982ee5f6ab8f93dda4d13414eeb08e62b0c9e5c50d3a354c2389","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:31.344543Z","signature_b64":"3ZJ4lPyz27NK+uU3maOmsAn4O52Or8uTeQxSR2yYvN3QMBl1izd1bVtRgxMRQB0OcB6sO0A3jI8iQA2AwyaPDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e04863fea52d982ee5f6ab8f93dda4d13414eeb08e62b0c9e5c50d3a354c2389","last_reissued_at":"2026-05-18T03:03:31.344065Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:31.344065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.7666","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:03:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z+nM0qGd/aw7DN2c9Y5ZoJRBv/rjzUxLNuXEDcpsbrM/xiWSMGqCNVdLkMwtojxIG5WLvF1SExnDRB/t+kqEDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T16:04:05.988743Z"},"content_sha256":"c5dc676d5173f7ddddece895111272d9ab3e6769302469aebc939612e57df3d1","schema_version":"1.0","event_id":"sha256:c5dc676d5173f7ddddece895111272d9ab3e6769302469aebc939612e57df3d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4BEGH7VFFWMC5ZPWVOHZHXNE2E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ostrowski type inequalities for harmonically s-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":"2013-12-30T09:37:50Z","abstract_excerpt":"In this paper, a new identity for fractional integrals is established. Then by making use of the established identity, some new Ostrowski type inequalities for harmonically s-convex functions via Riemann--Liouville fractional integral are established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7666","kind":"arxiv","version":2},"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":"2026-05-18T03:03:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t3pyB2ZfCSJIrJjcrzElR55uZKfVAso4BoWvVgsrVUp1CCNtgaSJzCbfqWe7otJT7GI6xWoVGkm5b9q4U14qDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T16:04:05.989072Z"},"content_sha256":"e8602d35220d2daa9771de196a7feda99822543306320532871cec64b981ac20","schema_version":"1.0","event_id":"sha256:e8602d35220d2daa9771de196a7feda99822543306320532871cec64b981ac20"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4BEGH7VFFWMC5ZPWVOHZHXNE2E/bundle.json","state_url":"https://pith.science/pith/4BEGH7VFFWMC5ZPWVOHZHXNE2E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4BEGH7VFFWMC5ZPWVOHZHXNE2E/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":"2026-06-22T16:04:05Z","links":{"resolver":"https://pith.science/pith/4BEGH7VFFWMC5ZPWVOHZHXNE2E","bundle":"https://pith.science/pith/4BEGH7VFFWMC5ZPWVOHZHXNE2E/bundle.json","state":"https://pith.science/pith/4BEGH7VFFWMC5ZPWVOHZHXNE2E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4BEGH7VFFWMC5ZPWVOHZHXNE2E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4BEGH7VFFWMC5ZPWVOHZHXNE2E","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":"403df90f891868b3f6e73235e962d5c292e008c7006ef4a4830e45960d6952d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-12-30T09:37:50Z","title_canon_sha256":"f212d01d4b4136b6ff20fef459f8fd55ae327a8c0745d44a9dc82c856c4812a2"},"schema_version":"1.0","source":{"id":"1312.7666","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7666","created_at":"2026-05-18T03:03:31Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7666v2","created_at":"2026-05-18T03:03:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7666","created_at":"2026-05-18T03:03:31Z"},{"alias_kind":"pith_short_12","alias_value":"4BEGH7VFFWMC","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"4BEGH7VFFWMC5ZPW","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"4BEGH7VF","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:e8602d35220d2daa9771de196a7feda99822543306320532871cec64b981ac20","target":"graph","created_at":"2026-05-18T03:03:31Z","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, a new identity for fractional integrals is established. Then by making use of the established identity, some new Ostrowski type inequalities for harmonically s-convex functions via Riemann--Liouville fractional integral are established.","authors_text":"Imdat Iscan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-12-30T09:37:50Z","title":"Ostrowski type inequalities for harmonically s-convex functions via fractional integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7666","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:c5dc676d5173f7ddddece895111272d9ab3e6769302469aebc939612e57df3d1","target":"record","created_at":"2026-05-18T03:03:31Z","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":"403df90f891868b3f6e73235e962d5c292e008c7006ef4a4830e45960d6952d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-12-30T09:37:50Z","title_canon_sha256":"f212d01d4b4136b6ff20fef459f8fd55ae327a8c0745d44a9dc82c856c4812a2"},"schema_version":"1.0","source":{"id":"1312.7666","kind":"arxiv","version":2}},"canonical_sha256":"e04863fea52d982ee5f6ab8f93dda4d13414eeb08e62b0c9e5c50d3a354c2389","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e04863fea52d982ee5f6ab8f93dda4d13414eeb08e62b0c9e5c50d3a354c2389","first_computed_at":"2026-05-18T03:03:31.344065Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:31.344065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3ZJ4lPyz27NK+uU3maOmsAn4O52Or8uTeQxSR2yYvN3QMBl1izd1bVtRgxMRQB0OcB6sO0A3jI8iQA2AwyaPDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:31.344543Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.7666","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5dc676d5173f7ddddece895111272d9ab3e6769302469aebc939612e57df3d1","sha256:e8602d35220d2daa9771de196a7feda99822543306320532871cec64b981ac20"],"state_sha256":"9e07b6fae086300d2c526282e5106c54c761544c7957327f5f4b31635d3cf435"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WEe1Gk2qnrZas67hmBWvOt7a3nQACoQyrEVeS2q3RzZlnwH5Hs/r8OPpjJPtS7VZH7oYgR/yV4eC3yymaQBGAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T16:04:05.990922Z","bundle_sha256":"73475c5f09e78f62e425bdbe19d1e16f848ccbb5ccb9f80cdb9d1926ddf299a9"}}