{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:37CLMXP7OPWPYZWXRPKEWJ55QC","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":"4dee61369534f7aa5df04b503ce43cbec3fc00a7a4c27cb2125a2a9ab1a5a35f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-05-25T14:36:08Z","title_canon_sha256":"33320a64e2fd4fce4acdc5c1ec7aee31d4f07ed0f64a263b158f5a87901ab108"},"schema_version":"1.0","source":{"id":"1105.5043","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.5043","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"arxiv_version","alias_value":"1105.5043v7","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5043","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"pith_short_12","alias_value":"37CLMXP7OPWP","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"37CLMXP7OPWPYZWX","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"37CLMXP7","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:f1a22d4a527278633451e4902323e12e0ccb12383dd21f580b6a60cafa94352c","target":"graph","created_at":"2026-05-18T04:05:27Z","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":"Some refinements of the Hermite-Hadamard inequality are obtained in the case of continuous convex functions defined on simplices.","authors_text":"C. I. Spiridon, F.-C. Mitroi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-05-25T14:36:08Z","title":"Refinements of Hermite-Hadamard inequality on simplices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5043","kind":"arxiv","version":7},"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":"sha256:1867590a0377340a888419b3307d5bf64447d60e3649d4a5660f4eb03473e0e0","target":"record","created_at":"2026-05-18T04:05:27Z","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":"4dee61369534f7aa5df04b503ce43cbec3fc00a7a4c27cb2125a2a9ab1a5a35f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-05-25T14:36:08Z","title_canon_sha256":"33320a64e2fd4fce4acdc5c1ec7aee31d4f07ed0f64a263b158f5a87901ab108"},"schema_version":"1.0","source":{"id":"1105.5043","kind":"arxiv","version":7}},"canonical_sha256":"dfc4b65dff73ecfc66d78bd44b27bd80beea30a0f73a555fd45ca6cfa73c7b0a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfc4b65dff73ecfc66d78bd44b27bd80beea30a0f73a555fd45ca6cfa73c7b0a","first_computed_at":"2026-05-18T04:05:27.469341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:27.469341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hTRxeFgLTa9Cl3qt/2UqTOdq64rG8cEft6ISWZV1vliPwhXTSXn5P11RE/qb0ZjU7BXZ9T3Sz5DNCbGMXNwrBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:27.469903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.5043","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1867590a0377340a888419b3307d5bf64447d60e3649d4a5660f4eb03473e0e0","sha256:f1a22d4a527278633451e4902323e12e0ccb12383dd21f580b6a60cafa94352c"],"state_sha256":"4978ee6f4ce69e28d62adca76eb5d9a4e8d0eeb3c648c200d5fab9051293dee6"}