{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3HZOGGQS5C45VHHULAWDTC2ZVR","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":"d3ef993ca10684cb301d23a222d4c1ed784c96f85d9d20b1bc1a1ca4b6a60bab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-12-07T20:59:01Z","title_canon_sha256":"b07deeb69cdbf1e548137a58842b57c4c5a3b7ae002638f60d657a59002cc34e"},"schema_version":"1.0","source":{"id":"1212.2165","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2165","created_at":"2026-05-18T03:38:46Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2165v1","created_at":"2026-05-18T03:38:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2165","created_at":"2026-05-18T03:38:46Z"},{"alias_kind":"pith_short_12","alias_value":"3HZOGGQS5C45","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3HZOGGQS5C45VHHU","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3HZOGGQS","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:1b15039b7a43eeb99e73890749f79a2e9c40c212a0818bae799c517a664157cf","target":"graph","created_at":"2026-05-18T03:38:46Z","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 some new Ostrowski's type inequalities for m- and (alpha,m)- logarithmically convex functions by using the Riemann-Liouville fractional integrals.","authors_text":"Ahmet Ocak Akdemir","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-12-07T20:59:01Z","title":"Inequalities of Ostrowski's type for m- and (alpha,m)- logarithmically convex functions via Riemann-Liouville Fractional integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2165","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":"sha256:8645413e88cd7e8417a61e2c4bd9e429a1afe992fa3fb258311af7933e5f5099","target":"record","created_at":"2026-05-18T03:38:46Z","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":"d3ef993ca10684cb301d23a222d4c1ed784c96f85d9d20b1bc1a1ca4b6a60bab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-12-07T20:59:01Z","title_canon_sha256":"b07deeb69cdbf1e548137a58842b57c4c5a3b7ae002638f60d657a59002cc34e"},"schema_version":"1.0","source":{"id":"1212.2165","kind":"arxiv","version":1}},"canonical_sha256":"d9f2e31a12e8b9da9cf4582c398b59ac7ff972e7fc726305717dc76930e344d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9f2e31a12e8b9da9cf4582c398b59ac7ff972e7fc726305717dc76930e344d2","first_computed_at":"2026-05-18T03:38:46.862770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:46.862770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IDJ6Mee7J9El9ywbkBzdr/QAd6FmEJfatlXbKzS/UVcltBzixAcUWjvYPGht3CNr0glGg56ynrniQ4nc9hQLCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:46.863537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.2165","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8645413e88cd7e8417a61e2c4bd9e429a1afe992fa3fb258311af7933e5f5099","sha256:1b15039b7a43eeb99e73890749f79a2e9c40c212a0818bae799c517a664157cf"],"state_sha256":"27ea50912ddc190dbb3d03ae71ed671f22acc92d3ae08fb8afe4468b2c7202ea"}