{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PLKXO3AQHQEBBDBRZ6DF65VZVG","short_pith_number":"pith:PLKXO3AQ","schema_version":"1.0","canonical_sha256":"7ad5776c103c08108c31cf865f76b9a9bd80c6fc39d9b4df554c32b7e7cbffef","source":{"kind":"arxiv","id":"1611.07219","version":1},"attestation_state":"computed","paper":{"title":"Bohnenblust--Hille inequality for polynomials whose monomials have uniformly bounded number of variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniel Pellegrino, Mariana Maia, Tony Nogueira","submitted_at":"2016-11-22T09:50:25Z","abstract_excerpt":"In 2015, using an innovative technique, Carando, Defant and Sevilla-Peris succeeded in proving a Bohnenblust--Hille type inequality with constants of polynomial growth in $m$ for a certain family of complex $m$-homogeneous polynomials. In the present paper, using a completely different approach, we prove that the constants of this inequality are uniformly bounded irrespectively of the value of $m$."},"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":"1611.07219","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-11-22T09:50:25Z","cross_cats_sorted":[],"title_canon_sha256":"a205ada351d805a1133468071c09ca147c149f56aedceeb40a95e5b91b84f74f","abstract_canon_sha256":"5a8fe0652b05472dc5f263f0d7589c4569f3cc350d7c07cef7633f517319b6dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:47.740580Z","signature_b64":"jsN4jQdAEs62BM/d6QxawXrWXCLsu/dxTaCuynBAXAcb6fldn+0aAfH5lmphWclLfYEGbCDe5Fgs3fxhHt2lAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ad5776c103c08108c31cf865f76b9a9bd80c6fc39d9b4df554c32b7e7cbffef","last_reissued_at":"2026-05-18T00:19:47.739792Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:47.739792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bohnenblust--Hille inequality for polynomials whose monomials have uniformly bounded number of variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniel Pellegrino, Mariana Maia, Tony Nogueira","submitted_at":"2016-11-22T09:50:25Z","abstract_excerpt":"In 2015, using an innovative technique, Carando, Defant and Sevilla-Peris succeeded in proving a Bohnenblust--Hille type inequality with constants of polynomial growth in $m$ for a certain family of complex $m$-homogeneous polynomials. In the present paper, using a completely different approach, we prove that the constants of this inequality are uniformly bounded irrespectively of the value of $m$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07219","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":"1611.07219","created_at":"2026-05-18T00:19:47.739910+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.07219v1","created_at":"2026-05-18T00:19:47.739910+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07219","created_at":"2026-05-18T00:19:47.739910+00:00"},{"alias_kind":"pith_short_12","alias_value":"PLKXO3AQHQEB","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"PLKXO3AQHQEBBDBR","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"PLKXO3AQ","created_at":"2026-05-18T12:30:39.010887+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/PLKXO3AQHQEBBDBRZ6DF65VZVG","json":"https://pith.science/pith/PLKXO3AQHQEBBDBRZ6DF65VZVG.json","graph_json":"https://pith.science/api/pith-number/PLKXO3AQHQEBBDBRZ6DF65VZVG/graph.json","events_json":"https://pith.science/api/pith-number/PLKXO3AQHQEBBDBRZ6DF65VZVG/events.json","paper":"https://pith.science/paper/PLKXO3AQ"},"agent_actions":{"view_html":"https://pith.science/pith/PLKXO3AQHQEBBDBRZ6DF65VZVG","download_json":"https://pith.science/pith/PLKXO3AQHQEBBDBRZ6DF65VZVG.json","view_paper":"https://pith.science/paper/PLKXO3AQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.07219&json=true","fetch_graph":"https://pith.science/api/pith-number/PLKXO3AQHQEBBDBRZ6DF65VZVG/graph.json","fetch_events":"https://pith.science/api/pith-number/PLKXO3AQHQEBBDBRZ6DF65VZVG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PLKXO3AQHQEBBDBRZ6DF65VZVG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PLKXO3AQHQEBBDBRZ6DF65VZVG/action/storage_attestation","attest_author":"https://pith.science/pith/PLKXO3AQHQEBBDBRZ6DF65VZVG/action/author_attestation","sign_citation":"https://pith.science/pith/PLKXO3AQHQEBBDBRZ6DF65VZVG/action/citation_signature","submit_replication":"https://pith.science/pith/PLKXO3AQHQEBBDBRZ6DF65VZVG/action/replication_record"}},"created_at":"2026-05-18T00:19:47.739910+00:00","updated_at":"2026-05-18T00:19:47.739910+00:00"}