{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:X6E5ORYFTZ5ZAFUPAHSJFTWGYI","short_pith_number":"pith:X6E5ORYF","schema_version":"1.0","canonical_sha256":"bf89d747059e7b90168f01e492cec6c2027341525561c90272fdeb8f1a3107fd","source":{"kind":"arxiv","id":"1607.08640","version":4},"attestation_state":"computed","paper":{"title":"A note on completeness of weighted normed spaces of analytic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Dragan Vukoti\\'c, Jos\\'e Bonet","submitted_at":"2016-07-28T21:08:44Z","abstract_excerpt":"Given a non-negative weight $v$, not necessarily bounded or strictly positive, defined on a domain $G$ in the complex plane, we consider the weighted space $H_v^\\infty(G)$ of all holomorphic functions on $G$ such that the product $v|f|$ is bounded in $G$ and study the question of when is such a space complete under the canonical sup-seminorm. We obtain both some necessary and some sufficient conditions in terms of the weight $v$, exhibit several relevant examples, and characterize completeness in the case of spaces with radial weights on balanced domains."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1607.08640","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-07-28T21:08:44Z","cross_cats_sorted":[],"title_canon_sha256":"5fd7f1a6ef45049912677125ccba2917d694d4c1f8b00ea310a0398572e00737","abstract_canon_sha256":"1512054a0cd1620788fe692cc2c780ff9b41ec3f709e9ea89ccd86131f51a49e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:02.360978Z","signature_b64":"rzgyj134qcfVlkGB3kA9aLR8f8zN3ZE+buZpBRcvK89zCiyVDjmfi+DKypK/ZKA8eJrSZ9cuZWxpOC8JDddJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf89d747059e7b90168f01e492cec6c2027341525561c90272fdeb8f1a3107fd","last_reissued_at":"2026-05-18T00:02:02.360452Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:02.360452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on completeness of weighted normed spaces of analytic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Dragan Vukoti\\'c, Jos\\'e Bonet","submitted_at":"2016-07-28T21:08:44Z","abstract_excerpt":"Given a non-negative weight $v$, not necessarily bounded or strictly positive, defined on a domain $G$ in the complex plane, we consider the weighted space $H_v^\\infty(G)$ of all holomorphic functions on $G$ such that the product $v|f|$ is bounded in $G$ and study the question of when is such a space complete under the canonical sup-seminorm. We obtain both some necessary and some sufficient conditions in terms of the weight $v$, exhibit several relevant examples, and characterize completeness in the case of spaces with radial weights on balanced domains."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.08640","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1607.08640","created_at":"2026-05-18T00:02:02.360525+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.08640v4","created_at":"2026-05-18T00:02:02.360525+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.08640","created_at":"2026-05-18T00:02:02.360525+00:00"},{"alias_kind":"pith_short_12","alias_value":"X6E5ORYFTZ5Z","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"X6E5ORYFTZ5ZAFUP","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"X6E5ORYF","created_at":"2026-05-18T12:30:51.357362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/X6E5ORYFTZ5ZAFUPAHSJFTWGYI","json":"https://pith.science/pith/X6E5ORYFTZ5ZAFUPAHSJFTWGYI.json","graph_json":"https://pith.science/api/pith-number/X6E5ORYFTZ5ZAFUPAHSJFTWGYI/graph.json","events_json":"https://pith.science/api/pith-number/X6E5ORYFTZ5ZAFUPAHSJFTWGYI/events.json","paper":"https://pith.science/paper/X6E5ORYF"},"agent_actions":{"view_html":"https://pith.science/pith/X6E5ORYFTZ5ZAFUPAHSJFTWGYI","download_json":"https://pith.science/pith/X6E5ORYFTZ5ZAFUPAHSJFTWGYI.json","view_paper":"https://pith.science/paper/X6E5ORYF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.08640&json=true","fetch_graph":"https://pith.science/api/pith-number/X6E5ORYFTZ5ZAFUPAHSJFTWGYI/graph.json","fetch_events":"https://pith.science/api/pith-number/X6E5ORYFTZ5ZAFUPAHSJFTWGYI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X6E5ORYFTZ5ZAFUPAHSJFTWGYI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X6E5ORYFTZ5ZAFUPAHSJFTWGYI/action/storage_attestation","attest_author":"https://pith.science/pith/X6E5ORYFTZ5ZAFUPAHSJFTWGYI/action/author_attestation","sign_citation":"https://pith.science/pith/X6E5ORYFTZ5ZAFUPAHSJFTWGYI/action/citation_signature","submit_replication":"https://pith.science/pith/X6E5ORYFTZ5ZAFUPAHSJFTWGYI/action/replication_record"}},"created_at":"2026-05-18T00:02:02.360525+00:00","updated_at":"2026-05-18T00:02:02.360525+00:00"}