{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:O7TDKXJUVHK56OTZEUQ4WQ2GOR","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":"4b0d75959ee5b7ff9347869dc8d01ffa69fa6c4107a96ca2a91ea68206f01340","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-02-07T12:45:26Z","title_canon_sha256":"508b0ab3898f4a2ff58c4e035d5e05fa6c2158c553c04e5f6a7f68beb1b09a3e"},"schema_version":"1.0","source":{"id":"1602.04834","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04834","created_at":"2026-05-18T01:20:38Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04834v1","created_at":"2026-05-18T01:20:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04834","created_at":"2026-05-18T01:20:38Z"},{"alias_kind":"pith_short_12","alias_value":"O7TDKXJUVHK5","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"O7TDKXJUVHK56OTZ","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"O7TDKXJU","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:88a7aac18b32aa09eef6712171be8373b2857dfbeee40d1f0ca89b5284fab2ae","target":"graph","created_at":"2026-05-18T01:20:38Z","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":"We establish some new inequalities of Hermite-Hadamard type for functions whose fourth derivatives absolute values are quasi-convex. Further, we give new identity.Using this new identity, we establish similar inequalities for left-hand side of Hermite-Hadamard result.Also, we present applications to special means.","authors_text":"Basharat Rehman Ali, Imran Abbas Baloch","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-02-07T12:45:26Z","title":"On new inequalities of Hermite-Hadamard type for functions whose fourth derivative absolute values are quasi-convex with applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04834","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:b287bd7131a2a3f34912abc3d468a90a54966d1edeeb937a5fe8b30dd8673702","target":"record","created_at":"2026-05-18T01:20:38Z","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":"4b0d75959ee5b7ff9347869dc8d01ffa69fa6c4107a96ca2a91ea68206f01340","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-02-07T12:45:26Z","title_canon_sha256":"508b0ab3898f4a2ff58c4e035d5e05fa6c2158c553c04e5f6a7f68beb1b09a3e"},"schema_version":"1.0","source":{"id":"1602.04834","kind":"arxiv","version":1}},"canonical_sha256":"77e6355d34a9d5df3a792521cb434674538c60f6afb84bdfa018fbb7e392af5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77e6355d34a9d5df3a792521cb434674538c60f6afb84bdfa018fbb7e392af5a","first_computed_at":"2026-05-18T01:20:38.026139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:38.026139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FDB7FF1xDtKRXMv2K04Q7sQCMaPQADhYTBdGUZmy+i7iep4caVXXFe5vcYqMfEvHo1axQdwnLBqrVgJjnbG/BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:38.026515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.04834","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b287bd7131a2a3f34912abc3d468a90a54966d1edeeb937a5fe8b30dd8673702","sha256:88a7aac18b32aa09eef6712171be8373b2857dfbeee40d1f0ca89b5284fab2ae"],"state_sha256":"d721d40ce3de1dba4c09fe67073b121dbd853f5fe7aae7de603c2daf0c561287"}