{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FXW3V7RWLQMKNAT45QKN6KU45X","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":"bf0c203c407fd298fbf6b1707c3508b2cc03570214c1c9ee7459aac733a5404c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-07-03T03:28:30Z","title_canon_sha256":"88ba5f6172296d84928c166da7ee6ea135e6e7cdc6b6eeb5346e1806fa0c5573"},"schema_version":"1.0","source":{"id":"1507.00807","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.00807","created_at":"2026-05-18T01:37:22Z"},{"alias_kind":"arxiv_version","alias_value":"1507.00807v1","created_at":"2026-05-18T01:37:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.00807","created_at":"2026-05-18T01:37:22Z"},{"alias_kind":"pith_short_12","alias_value":"FXW3V7RWLQMK","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FXW3V7RWLQMKNAT4","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FXW3V7RW","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:8288222272ddfaaa4da6fd9a1818949787fbe23200a0c7d634e85447083028fc","target":"graph","created_at":"2026-05-18T01:37:22Z","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":"A Hardy-Littlewood integral inequality on finite intervals with a concave weight is established. Given a function f on an interval [a,b], it is shown that the square of the weighted L^2 norm of its derivative f' is bounded by the product of the weighted L^2 norm of f and that of the second derivative f''.","authors_text":"Horst Alzer, Man Kam Kwong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-07-03T03:28:30Z","title":"A Hardy-Littlewood Integral Inequality on Finite Intervals with a Concave Weight"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.00807","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":"sha256:95aed4f655592bbd6675b3308b2cd9796201f64a1ec299a4561f095a85ac799a","target":"record","created_at":"2026-05-18T01:37:22Z","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":"bf0c203c407fd298fbf6b1707c3508b2cc03570214c1c9ee7459aac733a5404c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-07-03T03:28:30Z","title_canon_sha256":"88ba5f6172296d84928c166da7ee6ea135e6e7cdc6b6eeb5346e1806fa0c5573"},"schema_version":"1.0","source":{"id":"1507.00807","kind":"arxiv","version":1}},"canonical_sha256":"2dedbafe365c18a6827cec14df2a9ceded548d3175149f9c610b90c7b2a9ac67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2dedbafe365c18a6827cec14df2a9ceded548d3175149f9c610b90c7b2a9ac67","first_computed_at":"2026-05-18T01:37:22.643724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:22.643724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J8l/IZYtiacSpQPV2cNmubofFJ6ol5qZ6H55Ew9MhUEzg964IaXvVNo75W8gd5OEI8q7jPEv42g2K56rd6wHAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:22.644494Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.00807","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95aed4f655592bbd6675b3308b2cd9796201f64a1ec299a4561f095a85ac799a","sha256:8288222272ddfaaa4da6fd9a1818949787fbe23200a0c7d634e85447083028fc"],"state_sha256":"732c298042fc65f404b5c3650317e52fc020f3f2aa9206aa51a6d0d49f7616c5"}