{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KWHUZW5HXYYCPJO7AGQAYJSPM7","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":"3f67a8af0a2ca27cb5168626d491ae7894ea8d08159b89253bdc7f712010c2d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-09-19T02:56:10Z","title_canon_sha256":"810380319678d2266e6aba974226daf15f567c423bc0a34168998f38c02e06f5"},"schema_version":"1.0","source":{"id":"1609.05585","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05585","created_at":"2026-05-18T01:04:25Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05585v1","created_at":"2026-05-18T01:04:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05585","created_at":"2026-05-18T01:04:25Z"},{"alias_kind":"pith_short_12","alias_value":"KWHUZW5HXYYC","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"KWHUZW5HXYYCPJO7","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"KWHUZW5H","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:f485e4958b8b9f5147ab813c7e28ae7b0b973562a6e8a7d62e9abf5fa1e3bf23","target":"graph","created_at":"2026-05-18T01:04:25Z","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 \"norm\" of power function in the Gurov-Reshetnyak class on the real line is computed. Moreover, a lower bound for the norm of the operator of even extension from the semi-axis to the whole real line in the Gurov-Reshetnyak class is obtained from numerical experiments.","authors_text":"Anatolii A. Korenovskyi, Nor Jaidi Tuah, Victor D. Didenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-09-19T02:56:10Z","title":"A numerical point of view at the Gurov-Reshetnyak inequality on the real line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05585","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":"sha256:676bc3ce19d77f2962936f4b21c4d3ed59440f5b0d6d2ce58c24adb5ca8c4a0d","target":"record","created_at":"2026-05-18T01:04:25Z","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":"3f67a8af0a2ca27cb5168626d491ae7894ea8d08159b89253bdc7f712010c2d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-09-19T02:56:10Z","title_canon_sha256":"810380319678d2266e6aba974226daf15f567c423bc0a34168998f38c02e06f5"},"schema_version":"1.0","source":{"id":"1609.05585","kind":"arxiv","version":1}},"canonical_sha256":"558f4cdba7be3027a5df01a00c264f67d4ad7d71f26410dc1d8cfb893ab15a60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"558f4cdba7be3027a5df01a00c264f67d4ad7d71f26410dc1d8cfb893ab15a60","first_computed_at":"2026-05-18T01:04:25.968185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:25.968185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bKY1LCq5oxJr8l/Jnv/L09e/Y1khGYKwnKTAEiouLd6QLW1V1Fk6z9YCtN9h1TEN7NOaKjvFTlsqJRFDcqOrBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:25.968836Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.05585","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:676bc3ce19d77f2962936f4b21c4d3ed59440f5b0d6d2ce58c24adb5ca8c4a0d","sha256:f485e4958b8b9f5147ab813c7e28ae7b0b973562a6e8a7d62e9abf5fa1e3bf23"],"state_sha256":"613206e1313f811581aaafbe428f01b04fc49685a1be453436ecad0e0ffa8b32"}