{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ECANYOWSWD3JNNODVCTF3DF27R","short_pith_number":"pith:ECANYOWS","schema_version":"1.0","canonical_sha256":"2080dc3ad2b0f696b5c3a8a65d8cbafc42eff6fce8df1ced4a17364daa0ef37b","source":{"kind":"arxiv","id":"1308.4881","version":1},"attestation_state":"computed","paper":{"title":"Logarithmic convexity of area integral means for analytic functions II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.CV","authors_text":"Chunjie Wang, Jie Xiao, Kehe Zhu","submitted_at":"2013-08-22T14:43:58Z","abstract_excerpt":"For $0<p<\\infty$ and $-2\\le\\alpha\\le0$ we show that the $L^p$ integral mean on $rD$ of analytic function in the unit disk $D$ with respect to the weighted area measure $(1-|z|^2)^\\alpha dA(z)$ is a logarithmically convex function of $r$ on $(0,1)$."},"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":"1308.4881","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-08-22T14:43:58Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"ef3481f2ab0d54aa6ee1801bbf24ec6af99b5c72c22acf4593200e87ea3d71b8","abstract_canon_sha256":"3ca098df0b5c4501f338ba04ae6b93383c4f4879d6ce728aaddf1b981b904131"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:15.182077Z","signature_b64":"b73uY9h67bxzwafN6y/rf7wahgzCkDTI3v7nBKNO78Fmns2G4xovxfnhxA3YILgLD1ovZ1Sfx7I9SX4PIjjiCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2080dc3ad2b0f696b5c3a8a65d8cbafc42eff6fce8df1ced4a17364daa0ef37b","last_reissued_at":"2026-05-17T23:53:15.181508Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:15.181508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Logarithmic convexity of area integral means for analytic functions II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.CV","authors_text":"Chunjie Wang, Jie Xiao, Kehe Zhu","submitted_at":"2013-08-22T14:43:58Z","abstract_excerpt":"For $0<p<\\infty$ and $-2\\le\\alpha\\le0$ we show that the $L^p$ integral mean on $rD$ of analytic function in the unit disk $D$ with respect to the weighted area measure $(1-|z|^2)^\\alpha dA(z)$ is a logarithmically convex function of $r$ on $(0,1)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4881","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":"1308.4881","created_at":"2026-05-17T23:53:15.181603+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.4881v1","created_at":"2026-05-17T23:53:15.181603+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4881","created_at":"2026-05-17T23:53:15.181603+00:00"},{"alias_kind":"pith_short_12","alias_value":"ECANYOWSWD3J","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"ECANYOWSWD3JNNOD","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"ECANYOWS","created_at":"2026-05-18T12:27:43.054852+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/ECANYOWSWD3JNNODVCTF3DF27R","json":"https://pith.science/pith/ECANYOWSWD3JNNODVCTF3DF27R.json","graph_json":"https://pith.science/api/pith-number/ECANYOWSWD3JNNODVCTF3DF27R/graph.json","events_json":"https://pith.science/api/pith-number/ECANYOWSWD3JNNODVCTF3DF27R/events.json","paper":"https://pith.science/paper/ECANYOWS"},"agent_actions":{"view_html":"https://pith.science/pith/ECANYOWSWD3JNNODVCTF3DF27R","download_json":"https://pith.science/pith/ECANYOWSWD3JNNODVCTF3DF27R.json","view_paper":"https://pith.science/paper/ECANYOWS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.4881&json=true","fetch_graph":"https://pith.science/api/pith-number/ECANYOWSWD3JNNODVCTF3DF27R/graph.json","fetch_events":"https://pith.science/api/pith-number/ECANYOWSWD3JNNODVCTF3DF27R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ECANYOWSWD3JNNODVCTF3DF27R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ECANYOWSWD3JNNODVCTF3DF27R/action/storage_attestation","attest_author":"https://pith.science/pith/ECANYOWSWD3JNNODVCTF3DF27R/action/author_attestation","sign_citation":"https://pith.science/pith/ECANYOWSWD3JNNODVCTF3DF27R/action/citation_signature","submit_replication":"https://pith.science/pith/ECANYOWSWD3JNNODVCTF3DF27R/action/replication_record"}},"created_at":"2026-05-17T23:53:15.181603+00:00","updated_at":"2026-05-17T23:53:15.181603+00:00"}