{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OCQV7DPCUDSFA5NAYTX4OPVYK6","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":"437d899ca4496734600969af290e720bd7067d98e400c3041eee760f5d9bd496","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-09-17T01:38:30Z","title_canon_sha256":"29b4d27456c15bac8a11e7a7e5685b077723ab101e047e0942f4809714485057"},"schema_version":"1.0","source":{"id":"1409.4849","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.4849","created_at":"2026-05-18T01:24:11Z"},{"alias_kind":"arxiv_version","alias_value":"1409.4849v1","created_at":"2026-05-18T01:24:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.4849","created_at":"2026-05-18T01:24:11Z"},{"alias_kind":"pith_short_12","alias_value":"OCQV7DPCUDSF","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"OCQV7DPCUDSFA5NA","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"OCQV7DPC","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:ea7aae0b6196f2b3ea93a7462a67dd9682262cf2f5e224a1b9d789fc60b0a7e6","target":"graph","created_at":"2026-05-18T01:24:11Z","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":"Oberchkoff's inequality says that a polynomial of degree d with non-negative coefficients has at most 2ad/pi zeros in the angle {|arg z|<a}. We improve and generalize this inequality, and study the case of equality.","authors_text":"Alexander Fryntov, Alexandre Eremenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-09-17T01:38:30Z","title":"Remarks on the Obrechkoff inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.4849","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:e9566f671bffcf91fd8dc95bd2f6dbd2db473bb63316ca3c899d9db60893a64d","target":"record","created_at":"2026-05-18T01:24:11Z","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":"437d899ca4496734600969af290e720bd7067d98e400c3041eee760f5d9bd496","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-09-17T01:38:30Z","title_canon_sha256":"29b4d27456c15bac8a11e7a7e5685b077723ab101e047e0942f4809714485057"},"schema_version":"1.0","source":{"id":"1409.4849","kind":"arxiv","version":1}},"canonical_sha256":"70a15f8de2a0e45075a0c4efc73eb85784db018025921a6af88f327666cf19f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70a15f8de2a0e45075a0c4efc73eb85784db018025921a6af88f327666cf19f8","first_computed_at":"2026-05-18T01:24:11.125100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:11.125100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jM4Xa6/8GALLZtegHQj9BA9oWuyQ+m8lieej6lUWvthJ+6t75N20nODmhwh2+kf/hr9xGKa3/0RVeNbErx7jCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:11.125751Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.4849","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9566f671bffcf91fd8dc95bd2f6dbd2db473bb63316ca3c899d9db60893a64d","sha256:ea7aae0b6196f2b3ea93a7462a67dd9682262cf2f5e224a1b9d789fc60b0a7e6"],"state_sha256":"f0bc37dd962b5a4dda8c12d9c8db453ab7fd594cdfffb2e2d1b9bbf86b5d660e"}