{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IDATRSCV5SUAUGSGTRMSG6OTUJ","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":"d20970e6d7517e5f492508bbc7810af9cb801f4346c70d6cd5aa10a2803b5496","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-07-31T08:37:32Z","title_canon_sha256":"041ceda9a974621a72e92179aab177ef1a4aeebc87528ac5592288a884f81cd1"},"schema_version":"1.0","source":{"id":"1707.09760","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.09760","created_at":"2026-05-18T00:04:34Z"},{"alias_kind":"arxiv_version","alias_value":"1707.09760v1","created_at":"2026-05-18T00:04:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09760","created_at":"2026-05-18T00:04:34Z"},{"alias_kind":"pith_short_12","alias_value":"IDATRSCV5SUA","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IDATRSCV5SUAUGSG","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IDATRSCV","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:0d12bb497fccac5204d98d6dc899ea6e3d0b7d20776e301669d4c607ef89c518","target":"graph","created_at":"2026-05-18T00:04:34Z","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":"Solutions of the differential equation $f''+Af=0$ are considered assuming that $A$ is analytic in the unit disc $\\mathbb{D}$ and satisfies \\begin{equation} \\label{eq:dag} \\sup_{z\\in\\mathbb{D}} \\, |A(z)| (1-|z|^2)^2 \\log\\frac{e}{1-|z|} < \\infty. \\tag{$\\star$} \\end{equation} By recent results in the literature, such restriction has been associated to coefficient conditions which place all solutions in the Bloch space $\\mathcal{B}$. In this paper it is shown that any coefficient condition implying \\eqref{eq:dag} fails to detect certain cases when Bloch solutions do appear. The converse problem is","authors_text":"Janne Gr\\\"ohn","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-07-31T08:37:32Z","title":"Slowly growing solutions of ODEs revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09760","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:e800eb114407b27e55d4846915163d68b0634c313a86f6695c49927cc202b729","target":"record","created_at":"2026-05-18T00:04:34Z","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":"d20970e6d7517e5f492508bbc7810af9cb801f4346c70d6cd5aa10a2803b5496","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-07-31T08:37:32Z","title_canon_sha256":"041ceda9a974621a72e92179aab177ef1a4aeebc87528ac5592288a884f81cd1"},"schema_version":"1.0","source":{"id":"1707.09760","kind":"arxiv","version":1}},"canonical_sha256":"40c138c855eca80a1a469c592379d3a271cb797d5979c3afabb9e8dc8e2e7eb8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40c138c855eca80a1a469c592379d3a271cb797d5979c3afabb9e8dc8e2e7eb8","first_computed_at":"2026-05-18T00:04:34.242320Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:34.242320Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PisrNJW36taMSsve8o03Xhn/NUAOVPnWR01ZKh4m7IiaG2kkq9/EjRlgDys4Mwy5oc/zqe6is5YRgqcCAJpsBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:34.242876Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.09760","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e800eb114407b27e55d4846915163d68b0634c313a86f6695c49927cc202b729","sha256:0d12bb497fccac5204d98d6dc899ea6e3d0b7d20776e301669d4c607ef89c518"],"state_sha256":"d30dd8f64c36e3d1d454b7fef28f55a8407d04378173bbce4b801fd3345e1c4a"}