{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JBCC62IITHN6Q6GSBHEE75RZE6","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":"6bbb9d2b729c8759f30492068e3ca723445e1d18ddacda582194273b72a230e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-07-11T16:25:09Z","title_canon_sha256":"1f942b48c428c8e3169c01b4747696674202265cc824ae7e75eca21b55812e82"},"schema_version":"1.0","source":{"id":"1207.2700","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.2700","created_at":"2026-05-18T03:51:14Z"},{"alias_kind":"arxiv_version","alias_value":"1207.2700v1","created_at":"2026-05-18T03:51:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2700","created_at":"2026-05-18T03:51:14Z"},{"alias_kind":"pith_short_12","alias_value":"JBCC62IITHN6","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JBCC62IITHN6Q6GS","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JBCC62II","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:88a3aacba776517b3094d04301b4532efa1db266909bdf7c065bde8f110e2780","target":"graph","created_at":"2026-05-18T03:51:14Z","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 derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are quasi-convex. Some applications to special means of real numbers are also given.","authors_text":"Imdat Iscan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-07-11T16:25:09Z","title":"On new general integral inequalities for quasi-convex functions and their applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2700","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":"sha256:1e6bef2d13890220c7984f8e3e1a4dba5d162fa22e06444b2a1ff98ab5ff2de9","target":"record","created_at":"2026-05-18T03:51:14Z","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":"6bbb9d2b729c8759f30492068e3ca723445e1d18ddacda582194273b72a230e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-07-11T16:25:09Z","title_canon_sha256":"1f942b48c428c8e3169c01b4747696674202265cc824ae7e75eca21b55812e82"},"schema_version":"1.0","source":{"id":"1207.2700","kind":"arxiv","version":1}},"canonical_sha256":"48442f690899dbe878d209c84ff63927bfad0449e3d1b960e99076573656bbd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48442f690899dbe878d209c84ff63927bfad0449e3d1b960e99076573656bbd3","first_computed_at":"2026-05-18T03:51:14.768777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:14.768777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c4vSpriwBP+K28g2YOTUY3rgGkGpo/Tjp3xCsBq61fj0npiiwXiEfKSh8uosockdKc++WngvtFn1AbcIF6qPBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:14.769525Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.2700","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e6bef2d13890220c7984f8e3e1a4dba5d162fa22e06444b2a1ff98ab5ff2de9","sha256:88a3aacba776517b3094d04301b4532efa1db266909bdf7c065bde8f110e2780"],"state_sha256":"783ae3dcadbf8d3551f174e58df1b5afcf50334806cc8243423fd32eea231f4f"}