{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:GDM46OLBJZQP2GM4XHCW43HORP","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":"2f6607d13de0c09aa7f7d148b78790adf15d912c11cbea98a03ce9755f3f6133","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-06-11T14:47:11Z","title_canon_sha256":"9d81aebce3d74a966f510061e2521183658ec24bb9d5d874d02a62ce28869e2c"},"schema_version":"1.0","source":{"id":"1006.2325","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.2325","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"arxiv_version","alias_value":"1006.2325v1","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.2325","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"pith_short_12","alias_value":"GDM46OLBJZQP","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GDM46OLBJZQP2GM4","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GDM46OLB","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:c503833c30f9134c5c2c54064438384865a30df81ec880e25fc53fa528db3313","target":"graph","created_at":"2026-05-18T03:45:21Z","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 study radial behavior of harmonic functions in the unit disk belonging to the Korenblum class. We prove that functions which admit two-sided Korenblum estimate either oscillate or have slow growth along almost all radii.","authors_text":"Eugenia Malinnikova, Yurii Lyubarskii","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-06-11T14:47:11Z","title":"Radial oscillation of harmonic functions in the Korenblum class"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.2325","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":"sha256:1cf330530c9f0c432271323ad3918c0872d43159f7b48756f8b504eb3b1aff2e","target":"record","created_at":"2026-05-18T03:45:21Z","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":"2f6607d13de0c09aa7f7d148b78790adf15d912c11cbea98a03ce9755f3f6133","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-06-11T14:47:11Z","title_canon_sha256":"9d81aebce3d74a966f510061e2521183658ec24bb9d5d874d02a62ce28869e2c"},"schema_version":"1.0","source":{"id":"1006.2325","kind":"arxiv","version":1}},"canonical_sha256":"30d9cf39614e60fd199cb9c56e6cee8bf4fa8f667cda668f2cf676a1205fbf89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30d9cf39614e60fd199cb9c56e6cee8bf4fa8f667cda668f2cf676a1205fbf89","first_computed_at":"2026-05-18T03:45:21.385179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:21.385179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sb+rrpyFhpJG18DzhjmgwNO7GH7BLS+WNJ8Dd3mgql8lOhoibzgE/2gA4Y7MXthSEZkiAoB091LHMftWcdYbBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:21.385927Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.2325","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1cf330530c9f0c432271323ad3918c0872d43159f7b48756f8b504eb3b1aff2e","sha256:c503833c30f9134c5c2c54064438384865a30df81ec880e25fc53fa528db3313"],"state_sha256":"42d4bdc0f6ec3bc15c68f212a9dd690ecbcb78af08c40dd39a2d841acad6ee4c"}