{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HON6NBJUQV526YLKBTWQHCSP4G","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":"88b49c02541b9ad5a92e3c03e2ae7b6b74354df662e81d6f5532b84622aa040e","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-12-21T16:50:17Z","title_canon_sha256":"4017717b62329d44f221bf8318cf28a4e7aca10b41da221201f14c7d551b68b3"},"schema_version":"1.0","source":{"id":"1712.08077","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.08077","created_at":"2026-05-18T00:27:28Z"},{"alias_kind":"arxiv_version","alias_value":"1712.08077v1","created_at":"2026-05-18T00:27:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.08077","created_at":"2026-05-18T00:27:28Z"},{"alias_kind":"pith_short_12","alias_value":"HON6NBJUQV52","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HON6NBJUQV526YLK","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HON6NBJU","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:a20b409c1083d1eb80de0e22118f9b4b7479b5d43250c05031a35c2ea516b51e","target":"graph","created_at":"2026-05-18T00:27:28Z","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":"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","authors_text":"Daniel Galicer, Mart\\'in Mansilla, Santiago Muro","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-12-21T16:50:17Z","title":"Mixed Bohr radius in several variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08077","kind":"arxiv","version":1},"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:ed2707bc176a2d85aacbca800c386b88a30b0fb2916c9e227c59ba5cb3f4d1f7","target":"record","created_at":"2026-05-18T00:27:28Z","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":"88b49c02541b9ad5a92e3c03e2ae7b6b74354df662e81d6f5532b84622aa040e","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-12-21T16:50:17Z","title_canon_sha256":"4017717b62329d44f221bf8318cf28a4e7aca10b41da221201f14c7d551b68b3"},"schema_version":"1.0","source":{"id":"1712.08077","kind":"arxiv","version":1}},"canonical_sha256":"3b9be68534857baf616a0ced038a4fe194a6366e536997eee21e17cb812a0823","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b9be68534857baf616a0ced038a4fe194a6366e536997eee21e17cb812a0823","first_computed_at":"2026-05-18T00:27:28.899309Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:28.899309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xhuiw1BQUwyaOnkhGxRsfilqbs/AI/FRruw9Iij2pHeJ4Y/KUVMPyThv033RpmbW9BP5kvYIIU8S8dTdmIStCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:28.900075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.08077","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed2707bc176a2d85aacbca800c386b88a30b0fb2916c9e227c59ba5cb3f4d1f7","sha256:a20b409c1083d1eb80de0e22118f9b4b7479b5d43250c05031a35c2ea516b51e"],"state_sha256":"ef3970c91dae90ee1ad279848f4ca551a9732f04de7082806ef474a15b59e9f8"}