{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HON6NBJUQV526YLKBTWQHCSP4G","short_pith_number":"pith:HON6NBJU","schema_version":"1.0","canonical_sha256":"3b9be68534857baf616a0ced038a4fe194a6366e536997eee21e17cb812a0823","source":{"kind":"arxiv","id":"1712.08077","version":1},"attestation_state":"computed","paper":{"title":"Mixed Bohr radius in several variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"Daniel Galicer, Mart\\'in Mansilla, Santiago Muro","submitted_at":"2017-12-21T16:50:17Z","abstract_excerpt":"Let $K(B_{\\ell_p^n},B_{\\ell_q^n}) $ be the $n$-dimensional $(p,q)$-Bohr radius for holomorphic functions on $\\mathbb C^n$. That is, $K(B_{\\ell_p^n},B_{\\ell_q^n}) $ denotes the greatest constant $r\\geq 0$ such that for every entire function $f(z)=\\sum_{\\alpha} c_{\\alpha} z^{\\alpha}$ in $n$-complex variables, we have the following (mixed) Bohr-type inequality $$\\sup_{z \\in r \\cdot B_{\\ell_q^n}} \\sum_{\\alpha} | c_{\\alpha} z^{\\alpha} | \\leq \\sup_{z \\in B_{\\ell_p^n}} | f(z) |,$$ where $B_{\\ell_r^n}$ denotes the closed unit ball of the $n$-dimensional sequence space $\\ell_r^n$.\n  For every $1 \\leq p"},"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":"1712.08077","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-12-21T16:50:17Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"4017717b62329d44f221bf8318cf28a4e7aca10b41da221201f14c7d551b68b3","abstract_canon_sha256":"88b49c02541b9ad5a92e3c03e2ae7b6b74354df662e81d6f5532b84622aa040e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:28.900075Z","signature_b64":"xhuiw1BQUwyaOnkhGxRsfilqbs/AI/FRruw9Iij2pHeJ4Y/KUVMPyThv033RpmbW9BP5kvYIIU8S8dTdmIStCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b9be68534857baf616a0ced038a4fe194a6366e536997eee21e17cb812a0823","last_reissued_at":"2026-05-18T00:27:28.899309Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:28.899309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mixed Bohr radius in several variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"Daniel Galicer, Mart\\'in Mansilla, Santiago Muro","submitted_at":"2017-12-21T16:50:17Z","abstract_excerpt":"Let $K(B_{\\ell_p^n},B_{\\ell_q^n}) $ be the $n$-dimensional $(p,q)$-Bohr radius for holomorphic functions on $\\mathbb C^n$. That is, $K(B_{\\ell_p^n},B_{\\ell_q^n}) $ denotes the greatest constant $r\\geq 0$ such that for every entire function $f(z)=\\sum_{\\alpha} c_{\\alpha} z^{\\alpha}$ in $n$-complex variables, we have the following (mixed) Bohr-type inequality $$\\sup_{z \\in r \\cdot B_{\\ell_q^n}} \\sum_{\\alpha} | c_{\\alpha} z^{\\alpha} | \\leq \\sup_{z \\in B_{\\ell_p^n}} | f(z) |,$$ where $B_{\\ell_r^n}$ denotes the closed unit ball of the $n$-dimensional sequence space $\\ell_r^n$.\n  For every $1 \\leq p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08077","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":"1712.08077","created_at":"2026-05-18T00:27:28.899427+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.08077v1","created_at":"2026-05-18T00:27:28.899427+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.08077","created_at":"2026-05-18T00:27:28.899427+00:00"},{"alias_kind":"pith_short_12","alias_value":"HON6NBJUQV52","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"HON6NBJUQV526YLK","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"HON6NBJU","created_at":"2026-05-18T12:31:18.294218+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/HON6NBJUQV526YLKBTWQHCSP4G","json":"https://pith.science/pith/HON6NBJUQV526YLKBTWQHCSP4G.json","graph_json":"https://pith.science/api/pith-number/HON6NBJUQV526YLKBTWQHCSP4G/graph.json","events_json":"https://pith.science/api/pith-number/HON6NBJUQV526YLKBTWQHCSP4G/events.json","paper":"https://pith.science/paper/HON6NBJU"},"agent_actions":{"view_html":"https://pith.science/pith/HON6NBJUQV526YLKBTWQHCSP4G","download_json":"https://pith.science/pith/HON6NBJUQV526YLKBTWQHCSP4G.json","view_paper":"https://pith.science/paper/HON6NBJU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.08077&json=true","fetch_graph":"https://pith.science/api/pith-number/HON6NBJUQV526YLKBTWQHCSP4G/graph.json","fetch_events":"https://pith.science/api/pith-number/HON6NBJUQV526YLKBTWQHCSP4G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HON6NBJUQV526YLKBTWQHCSP4G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HON6NBJUQV526YLKBTWQHCSP4G/action/storage_attestation","attest_author":"https://pith.science/pith/HON6NBJUQV526YLKBTWQHCSP4G/action/author_attestation","sign_citation":"https://pith.science/pith/HON6NBJUQV526YLKBTWQHCSP4G/action/citation_signature","submit_replication":"https://pith.science/pith/HON6NBJUQV526YLKBTWQHCSP4G/action/replication_record"}},"created_at":"2026-05-18T00:27:28.899427+00:00","updated_at":"2026-05-18T00:27:28.899427+00:00"}