{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:6NN2X4RQ2IDCW3RRO5M3L3ZT24","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":"de9a247256546352b2a51e58cb6b79216d3cb41defd8ac6b765e7a8227e24126","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-09-09T12:34:44Z","title_canon_sha256":"2ac993ba59514334abe3b289bff180d2d3659c5b4395e7c495dd9b67958636b4"},"schema_version":"1.0","source":{"id":"1009.1755","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1755","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1755v2","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1755","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"6NN2X4RQ2IDC","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6NN2X4RQ2IDCW3RR","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6NN2X4RQ","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:548fcbf1e26f8075c6b236236d86eb8606c665594fe7d4166f6a810f74b1c747","target":"graph","created_at":"2026-05-18T04:35:56Z","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":"We obtain an upper bound for the derivative of a Blaschke product, whose zeros lie in a certain Stolz-type region. We show that the derivative belongs to the space of analytic functions in the unit disk, introduced recently in \\cite{FG}. As an outcome, we obtain a Blaschke-type condition for critical points of such Blaschke products.","authors_text":"L. Golinskii, S. Favorov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-09-09T12:34:44Z","title":"On critical points of Blaschke products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1755","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":"sha256:18449b4b93bc506608ad351460ade535d4d1a84d9dff3ed0bf1d6d29f8cf8436","target":"record","created_at":"2026-05-18T04:35:56Z","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":"de9a247256546352b2a51e58cb6b79216d3cb41defd8ac6b765e7a8227e24126","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-09-09T12:34:44Z","title_canon_sha256":"2ac993ba59514334abe3b289bff180d2d3659c5b4395e7c495dd9b67958636b4"},"schema_version":"1.0","source":{"id":"1009.1755","kind":"arxiv","version":2}},"canonical_sha256":"f35babf230d2062b6e317759b5ef33d701c296e0404c2e135601ee41eebb0398","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f35babf230d2062b6e317759b5ef33d701c296e0404c2e135601ee41eebb0398","first_computed_at":"2026-05-18T04:35:56.706461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:56.706461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MKtctDT/DIPC1mUFd6KS+BElFK2g/xQiYkVOQs8c2q7L8IonkCBP97BM+AFDo34pFkypTO9AcclC8W4zvuuqBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:56.707006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.1755","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18449b4b93bc506608ad351460ade535d4d1a84d9dff3ed0bf1d6d29f8cf8436","sha256:548fcbf1e26f8075c6b236236d86eb8606c665594fe7d4166f6a810f74b1c747"],"state_sha256":"43639a1c8f7ea10b3820ce9a193efd71b6835e87be10312878f258cd0d884dd1"}