{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UTBNCN3HFWFYEV3IH3MHKIU3BM","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":"f5e6a0486cb1d47ae7019a00109fa107652efc5617d4562e214f7cf6fb533322","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-02-27T16:27:52Z","title_canon_sha256":"f1c27995c6a4b592915cc13e7867c82ce57eddac0efda03dc5cb40f997504b7f"},"schema_version":"1.0","source":{"id":"1302.6908","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6908","created_at":"2026-05-18T03:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6908v2","created_at":"2026-05-18T03:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6908","created_at":"2026-05-18T03:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"UTBNCN3HFWFY","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UTBNCN3HFWFYEV3I","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UTBNCN3H","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:0403e540f1cd614d5b463e6712d8e572ea17323612d80bc27f467b49f5b17870","target":"graph","created_at":"2026-05-18T03:22:07Z","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":"Let H[a_0,n] be the class of functions p(z)=a_0+a_nz^n+... which are analytic in the open unit disk U. For p(z)in H[1,2], M. Nunokawa, S. Owa, N. Uyanik and H. Shiraishi (Math. Comput. Modelling. 55 (2012), 1245-1250) have shown some theorems for argument properties. The object of the present paper is to discuss some extensions of Nnnokawa lemma and its applications for argument properties.","authors_text":"Hitoshi Shiraishi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-02-27T16:27:52Z","title":"Extensions of Nunokawa lemma for argument properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6908","kind":"arxiv","version":2},"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":"sha256:1babf2939413313056c7d760d350152ed2a69094b049220d5fc7537a9faffe1d","target":"record","created_at":"2026-05-18T03:22:07Z","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":"f5e6a0486cb1d47ae7019a00109fa107652efc5617d4562e214f7cf6fb533322","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-02-27T16:27:52Z","title_canon_sha256":"f1c27995c6a4b592915cc13e7867c82ce57eddac0efda03dc5cb40f997504b7f"},"schema_version":"1.0","source":{"id":"1302.6908","kind":"arxiv","version":2}},"canonical_sha256":"a4c2d137672d8b8257683ed875229b0b01eae7f12380f6e06d1ab572f24998f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4c2d137672d8b8257683ed875229b0b01eae7f12380f6e06d1ab572f24998f7","first_computed_at":"2026-05-18T03:22:07.760245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:07.760245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bzIaVHi9PETXeky+LFUlYqCkGwAlM6jMSpIyZ/L/LGFk0IJRUPhoRb4tXjHiqtUJYNj7A6pvnsGK6A7lbo6HDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:07.761006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.6908","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1babf2939413313056c7d760d350152ed2a69094b049220d5fc7537a9faffe1d","sha256:0403e540f1cd614d5b463e6712d8e572ea17323612d80bc27f467b49f5b17870"],"state_sha256":"c473051135e572d19567594eff110e234437ee8e5b031478712a233dda6f4c75"}