{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:LNUHQ6MFCHQ6O5IKSS5D5CEEAR","short_pith_number":"pith:LNUHQ6MF","schema_version":"1.0","canonical_sha256":"5b6878798511e1e7750a94ba3e888404768ce5db9df518734efb25b6160b894f","source":{"kind":"arxiv","id":"1012.5822","version":1},"attestation_state":"computed","paper":{"title":"Cyclicity of singular inner functions from the corona theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CA","authors_text":"Karim Kellay (LATP), Kristian Seip, Omar El-Fallah","submitted_at":"2010-12-28T19:21:28Z","abstract_excerpt":"Carleson's corona theorem is used to obtain two results on cyclicity of singular inner functions in weighted Bergman-type spaces on the unit disk. Our method proof requires no regularity conditions on the weights."},"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":"1012.5822","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2010-12-28T19:21:28Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"81b2868f32717bbaa0404c9590744d37e780ff6c88da533d302881631afc36f9","abstract_canon_sha256":"802b6ba6bfcf58886475903832a881c75801f1cead05e7b8814f4e866e9c51ba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:21.428206Z","signature_b64":"pusTc8kVNKETRoDBz6Tpc7HsvwjSqWADOJwpYXHxmOVpts0jRavH5UF1PVPPN/tIo6hJtY68vDSON0smaaMbDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b6878798511e1e7750a94ba3e888404768ce5db9df518734efb25b6160b894f","last_reissued_at":"2026-05-18T04:32:21.427645Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:21.427645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cyclicity of singular inner functions from the corona theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CA","authors_text":"Karim Kellay (LATP), Kristian Seip, Omar El-Fallah","submitted_at":"2010-12-28T19:21:28Z","abstract_excerpt":"Carleson's corona theorem is used to obtain two results on cyclicity of singular inner functions in weighted Bergman-type spaces on the unit disk. Our method proof requires no regularity conditions on the weights."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5822","kind":"arxiv","version":1},"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":"1012.5822","created_at":"2026-05-18T04:32:21.427726+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.5822v1","created_at":"2026-05-18T04:32:21.427726+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5822","created_at":"2026-05-18T04:32:21.427726+00:00"},{"alias_kind":"pith_short_12","alias_value":"LNUHQ6MFCHQ6","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"LNUHQ6MFCHQ6O5IK","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"LNUHQ6MF","created_at":"2026-05-18T12:26:10.704358+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/LNUHQ6MFCHQ6O5IKSS5D5CEEAR","json":"https://pith.science/pith/LNUHQ6MFCHQ6O5IKSS5D5CEEAR.json","graph_json":"https://pith.science/api/pith-number/LNUHQ6MFCHQ6O5IKSS5D5CEEAR/graph.json","events_json":"https://pith.science/api/pith-number/LNUHQ6MFCHQ6O5IKSS5D5CEEAR/events.json","paper":"https://pith.science/paper/LNUHQ6MF"},"agent_actions":{"view_html":"https://pith.science/pith/LNUHQ6MFCHQ6O5IKSS5D5CEEAR","download_json":"https://pith.science/pith/LNUHQ6MFCHQ6O5IKSS5D5CEEAR.json","view_paper":"https://pith.science/paper/LNUHQ6MF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.5822&json=true","fetch_graph":"https://pith.science/api/pith-number/LNUHQ6MFCHQ6O5IKSS5D5CEEAR/graph.json","fetch_events":"https://pith.science/api/pith-number/LNUHQ6MFCHQ6O5IKSS5D5CEEAR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LNUHQ6MFCHQ6O5IKSS5D5CEEAR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LNUHQ6MFCHQ6O5IKSS5D5CEEAR/action/storage_attestation","attest_author":"https://pith.science/pith/LNUHQ6MFCHQ6O5IKSS5D5CEEAR/action/author_attestation","sign_citation":"https://pith.science/pith/LNUHQ6MFCHQ6O5IKSS5D5CEEAR/action/citation_signature","submit_replication":"https://pith.science/pith/LNUHQ6MFCHQ6O5IKSS5D5CEEAR/action/replication_record"}},"created_at":"2026-05-18T04:32:21.427726+00:00","updated_at":"2026-05-18T04:32:21.427726+00:00"}