{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NIR6ZNYSJ3VTB5TCNI2DO6N4VQ","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":"f6f20a6272851b9729fe0afa45cb5a05ff7411e7896164a874d651ea97cee7a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-11-28T12:00:29Z","title_canon_sha256":"9a4d7147e7a822621fb6be3bc2f898066012e2e8387549e2450fe902d9e8c29e"},"schema_version":"1.0","source":{"id":"1211.6587","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6587","created_at":"2026-05-18T03:39:44Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6587v1","created_at":"2026-05-18T03:39:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6587","created_at":"2026-05-18T03:39:44Z"},{"alias_kind":"pith_short_12","alias_value":"NIR6ZNYSJ3VT","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NIR6ZNYSJ3VTB5TC","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NIR6ZNYS","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:ef9bd52f9acc5749e46a7716c66db52305c24f55a94548e0c58292279c0fd7f1","target":"graph","created_at":"2026-05-18T03:39:44Z","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, some new inequalities of Ostrowski type established for the class of m- and (alpha,m)-geometrically convex functions which are generalizations of geometric convex functions.","authors_text":"Mevlut Tunc","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-11-28T12:00:29Z","title":"Ostrowski type Inequalities for m- and (alpha,m)-geometrically convex functions via Riemann-Louville Fractional integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6587","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:f2b7329e0e75fdf853bb0c999cba626155390c73824188f5a3bf839bb59c5c9e","target":"record","created_at":"2026-05-18T03:39:44Z","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":"f6f20a6272851b9729fe0afa45cb5a05ff7411e7896164a874d651ea97cee7a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-11-28T12:00:29Z","title_canon_sha256":"9a4d7147e7a822621fb6be3bc2f898066012e2e8387549e2450fe902d9e8c29e"},"schema_version":"1.0","source":{"id":"1211.6587","kind":"arxiv","version":1}},"canonical_sha256":"6a23ecb7124eeb30f6626a343779bcac29d473be5f0507a82f9a0c6df4b9e810","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a23ecb7124eeb30f6626a343779bcac29d473be5f0507a82f9a0c6df4b9e810","first_computed_at":"2026-05-18T03:39:44.296786Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:44.296786Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YmC8tQLJ4MERhqkB/WGYVkuTtfU+VmmrmZpKAa3CwFe8hu5AjU9dnEMpUuM/WRn5389UwPLx9vA0AB+mmYo1CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:44.297219Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.6587","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2b7329e0e75fdf853bb0c999cba626155390c73824188f5a3bf839bb59c5c9e","sha256:ef9bd52f9acc5749e46a7716c66db52305c24f55a94548e0c58292279c0fd7f1"],"state_sha256":"8756cb906fc6f7b2dc951b7085b9185004261e2c788fa7a63bde41400d9b577c"}