{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HUIYWTGAK6FITZY4KY5HUDJZ5Z","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":"c7ff72b4293e9d3b1b1b7c1910db3ff8208836e2c3d1a371deef6eac0d394940","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-09-07T07:01:14Z","title_canon_sha256":"fa455b0056f09e60d9638f4accc0d56b31349d3a27953db37302ef0df1bda6e6"},"schema_version":"1.0","source":{"id":"1609.01852","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.01852","created_at":"2026-05-18T00:04:34Z"},{"alias_kind":"arxiv_version","alias_value":"1609.01852v1","created_at":"2026-05-18T00:04:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01852","created_at":"2026-05-18T00:04:34Z"},{"alias_kind":"pith_short_12","alias_value":"HUIYWTGAK6FI","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"HUIYWTGAK6FITZY4","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"HUIYWTGA","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:7a1791c01e866c4b24291642b9b340ed294899dfedab1bfdc2b40cd9b1c682ee","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":"This research concerns coefficient conditions for linear differential equations in the unit disc of the complex plane. In the higher order case the separation of zeros (of maximal multiplicity) of solutions is considered, while in the second order case slowly growing solutions in $H^\\infty$, $\\rm{BMOA}$ and the Bloch space are discussed. A counterpart of the Hardy-Stein-Spencer formula for higher derivatives is proved, and then applied to study solutions in the Hardy spaces.","authors_text":"Janne Gr\\\"ohn, Jouni R\\\"atty\\\"a, Juha-Matti Huusko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-09-07T07:01:14Z","title":"Linear differential equations with slowly growing solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01852","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:ca74d1b2600787fe3e02cb8522d67c1c83d9ccf4a066b58359d3dc43840e393a","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":"c7ff72b4293e9d3b1b1b7c1910db3ff8208836e2c3d1a371deef6eac0d394940","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-09-07T07:01:14Z","title_canon_sha256":"fa455b0056f09e60d9638f4accc0d56b31349d3a27953db37302ef0df1bda6e6"},"schema_version":"1.0","source":{"id":"1609.01852","kind":"arxiv","version":1}},"canonical_sha256":"3d118b4cc0578a89e71c563a7a0d39ee5d7bb64884218f03ace253df64bec346","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d118b4cc0578a89e71c563a7a0d39ee5d7bb64884218f03ace253df64bec346","first_computed_at":"2026-05-18T00:04:34.321655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:34.321655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AmeEVwFtPTTq2J2Lu+7iGF2W5Y1XFUD6VMi+dsoodTeBbu4vuURPnQCHv7UkrqAJQOAuVxi8elnKsHoHRCaFAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:34.322368Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.01852","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca74d1b2600787fe3e02cb8522d67c1c83d9ccf4a066b58359d3dc43840e393a","sha256:7a1791c01e866c4b24291642b9b340ed294899dfedab1bfdc2b40cd9b1c682ee"],"state_sha256":"b2463c7b06352ba497edc513913d8cac7c80ba1356dc35c34e7c47aec79d3fdd"}