{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:76ZUJPX5F4TTX6POPBFEVJKP3U","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":"e9cecd55916fd3305d991b44a511f396daf53c1dbdfea2a5c37858b83c6aef3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-20T08:07:47Z","title_canon_sha256":"8379883b3520d8f3dc7803151bff2918a69a36fc2a775eea093bec66a601c8ad"},"schema_version":"1.0","source":{"id":"1503.06013","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.06013","created_at":"2026-05-18T02:20:48Z"},{"alias_kind":"arxiv_version","alias_value":"1503.06013v1","created_at":"2026-05-18T02:20:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06013","created_at":"2026-05-18T02:20:48Z"},{"alias_kind":"pith_short_12","alias_value":"76ZUJPX5F4TT","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"76ZUJPX5F4TTX6PO","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"76ZUJPX5","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:996133fd00b6510289537ff98d425921aa6fffe03314fe4eea0e9ea6580db2a0","target":"graph","created_at":"2026-05-18T02:20:48Z","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 offer new proofs, refinements as well as new results related to classical means of two variables, including the identric and logarithmic means.","authors_text":"Barkat Ali Bhayo, J\\'ozsef S\\'andor","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-20T08:07:47Z","title":"On some inequalities for the identric, logarithmic and related means"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06013","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:f2de4e15be74c3791066d47e170a8da2e4ef9f9647af5b8fc8f48ff037699727","target":"record","created_at":"2026-05-18T02:20:48Z","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":"e9cecd55916fd3305d991b44a511f396daf53c1dbdfea2a5c37858b83c6aef3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-20T08:07:47Z","title_canon_sha256":"8379883b3520d8f3dc7803151bff2918a69a36fc2a775eea093bec66a601c8ad"},"schema_version":"1.0","source":{"id":"1503.06013","kind":"arxiv","version":1}},"canonical_sha256":"ffb344befd2f273bf9ee784a4aa54fdd29e4946b09c3f533b0f57cb141782909","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffb344befd2f273bf9ee784a4aa54fdd29e4946b09c3f533b0f57cb141782909","first_computed_at":"2026-05-18T02:20:48.926847Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:48.926847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qHoU4LiBck5VHmFzIxwc8z2HLHFFty0O7TR+Ua9yP8xX/m4m8q4OCDhvA/kRg/BwKmkEnAZIUrgJbiqLAW8MDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:48.927492Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.06013","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2de4e15be74c3791066d47e170a8da2e4ef9f9647af5b8fc8f48ff037699727","sha256:996133fd00b6510289537ff98d425921aa6fffe03314fe4eea0e9ea6580db2a0"],"state_sha256":"caa7dacffa89f979cd10aa0e86b63f9a3f1bcba2235129c1e7a5448e4b8bc97a"}