{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:H5V7NVH3MX4CWPYUCUORXFVRG4","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":"f50986c72cb0dbb4fd28ca81fc48e03ac077f710420ba4c28b006a8477bdf172","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-03-21T15:47:44Z","title_canon_sha256":"5f5dbffab4600ebfaa20124e001c94f9218dc2fd22a6cf747f042817e82a7580"},"schema_version":"1.0","source":{"id":"1903.09070","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.09070","created_at":"2026-05-17T23:50:43Z"},{"alias_kind":"arxiv_version","alias_value":"1903.09070v1","created_at":"2026-05-17T23:50:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09070","created_at":"2026-05-17T23:50:43Z"},{"alias_kind":"pith_short_12","alias_value":"H5V7NVH3MX4C","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"H5V7NVH3MX4CWPYU","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"H5V7NVH3","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:2f264d9eb4d88827780797996dc25f976a839a43341565c504fe10c3d65413af","target":"graph","created_at":"2026-05-17T23:50:43Z","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":"For an entire function $f(z) = \\sum_{k=0}^\\infty a_k z^k, a_k>0,$ we show that $f$ does not belong to the Laguerre-P\\'olya class if the quotients $\\frac{a_{n-1}^2}{a_{n-2}a_n}$ are increasing in $n$, and $c:= \\lim\\limits_{n\\to \\infty} \\frac{a_{n-1}^2}{a_{n-2}a_n}$ is smaller than an absolute constant $q_\\infty$ $(q_\\infty\\approx 3{.}2336) .$","authors_text":"Anna Vishnyakova, Thu Hien Nguyen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-03-21T15:47:44Z","title":"On the necessary condition for entire function with the increasing second quotients of Taylor coefficients to belong to the Laguerre-P\\'olya class"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09070","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":"sha256:9ab4634742c54dad8f0259552b40dc71b57a2cbbc170a82aa8cb78a6ea7e4e8b","target":"record","created_at":"2026-05-17T23:50:43Z","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":"f50986c72cb0dbb4fd28ca81fc48e03ac077f710420ba4c28b006a8477bdf172","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-03-21T15:47:44Z","title_canon_sha256":"5f5dbffab4600ebfaa20124e001c94f9218dc2fd22a6cf747f042817e82a7580"},"schema_version":"1.0","source":{"id":"1903.09070","kind":"arxiv","version":1}},"canonical_sha256":"3f6bf6d4fb65f82b3f14151d1b96b137063de89c7b56a8a5843a4020b59d4883","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f6bf6d4fb65f82b3f14151d1b96b137063de89c7b56a8a5843a4020b59d4883","first_computed_at":"2026-05-17T23:50:43.258026Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:43.258026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TLGZcGWPdpzD/tusuilZ8yPekcXvBfVD0EOvb4GYJkrUUUDiEe4RgKO+bN4jZ0zNBV6NXJxj9ZK5kmbApc3OBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:43.258402Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.09070","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ab4634742c54dad8f0259552b40dc71b57a2cbbc170a82aa8cb78a6ea7e4e8b","sha256:2f264d9eb4d88827780797996dc25f976a839a43341565c504fe10c3d65413af"],"state_sha256":"6684b042cf22a59c6b3e7250db750fe771f5590cf7f87be3a87fddc537b9d808"}