{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5L2VNRFZAOD5AQPYAOKZA7KURY","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":"e8a77123646c3f2904a367731fa82a2507b69a474bcd2f7b4d70828c68e10b76","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-04-18T11:37:12Z","title_canon_sha256":"a6270671419c248e9a4a7659ed1f8d38e354b5e306e1acea224c393b9f88d9a0"},"schema_version":"1.0","source":{"id":"1704.05281","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05281","created_at":"2026-05-18T00:00:09Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05281v2","created_at":"2026-05-18T00:00:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05281","created_at":"2026-05-18T00:00:09Z"},{"alias_kind":"pith_short_12","alias_value":"5L2VNRFZAOD5","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5L2VNRFZAOD5AQPY","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5L2VNRFZ","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:2ebb700e502389d2cf1a83ca0d20dca53a67b84e4f64cac269d91bc2e96dfb79","target":"graph","created_at":"2026-05-18T00:00:09Z","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":"To each weighted Dirichlet space $\\mathcal{D}_p$, $0<p<1$, we associate a family of Morrey-type spaces ${\\mathcal{D}}_p^{\\lambda}$, $0< \\lambda < 1$, constructed by imposing growth conditions on the norm of hyperbolic translates of functions. We indicate some of the properties of these spaces, mention the characterization in terms of boundary values, and study integration and multiplication operators on them.","authors_text":"Aristomenis G. Siskakis, Noel Merch\\'an, Petros Galanopoulos","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-04-18T11:37:12Z","title":"A family of Dirichlet-Morrey spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05281","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":"sha256:69bc105a1d5c7bb18a45dcbc1986830dc8d15a2bb2fa3ee99ffc7f098f66ec8c","target":"record","created_at":"2026-05-18T00:00:09Z","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":"e8a77123646c3f2904a367731fa82a2507b69a474bcd2f7b4d70828c68e10b76","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-04-18T11:37:12Z","title_canon_sha256":"a6270671419c248e9a4a7659ed1f8d38e354b5e306e1acea224c393b9f88d9a0"},"schema_version":"1.0","source":{"id":"1704.05281","kind":"arxiv","version":2}},"canonical_sha256":"eaf556c4b90387d041f80395907d548e0674490bbf86dc6106cb7fb0a0be9e88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eaf556c4b90387d041f80395907d548e0674490bbf86dc6106cb7fb0a0be9e88","first_computed_at":"2026-05-18T00:00:09.301901Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:09.301901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eCR0LGZUUYeX1IbX+W1hAZQE6osbpysMdan6n5ca69pc9yviwT3Y1cSguP+on9bc/Fww+Xg+Rx3toTXrKvwKDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:09.302407Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.05281","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69bc105a1d5c7bb18a45dcbc1986830dc8d15a2bb2fa3ee99ffc7f098f66ec8c","sha256:2ebb700e502389d2cf1a83ca0d20dca53a67b84e4f64cac269d91bc2e96dfb79"],"state_sha256":"f55edd86ce881da4707603a7ec8ff5fada5aac47bab7ebeaead5160c1d82bb57"}