{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:WJ33KWOJ7IECHK72SL7Z226R7I","short_pith_number":"pith:WJ33KWOJ","schema_version":"1.0","canonical_sha256":"b277b559c9fa0823abfa92ff9d6bd1fa2da2d917f34930fe17cf81c7bbe601f5","source":{"kind":"arxiv","id":"1301.0529","version":1},"attestation_state":"computed","paper":{"title":"Log-integrability of Rademacher Fourier series, with applications to random analytic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.CV","authors_text":"Alon Nishry, Fedor Nazarov, Mikhail Sodin","submitted_at":"2013-01-03T18:30:08Z","abstract_excerpt":"We prove that any power of the logarithm of Fourier series with random signs is integrable. This result has applications to the distribution of values of random Taylor series, one of which answers a long-standing question by J.-P. Kahane."},"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":"1301.0529","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-01-03T18:30:08Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"b570ee969d9b89165231947b060695fc458a1fc86223e4bfdc8510b5564c0092","abstract_canon_sha256":"7fa067161a778534befdbcdef8209da6e9a2a3df6d3fa4a9c671bb84e153137a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:41.980237Z","signature_b64":"eXALx+wni99rGhqyb2fi8m8AEn996Zdu2yAdB//Jd+bWTJnEu2eRACNO6D/eVSmdPZaaERPQOdNi2peYhdigDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b277b559c9fa0823abfa92ff9d6bd1fa2da2d917f34930fe17cf81c7bbe601f5","last_reissued_at":"2026-05-18T00:54:41.979619Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:41.979619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Log-integrability of Rademacher Fourier series, with applications to random analytic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.CV","authors_text":"Alon Nishry, Fedor Nazarov, Mikhail Sodin","submitted_at":"2013-01-03T18:30:08Z","abstract_excerpt":"We prove that any power of the logarithm of Fourier series with random signs is integrable. This result has applications to the distribution of values of random Taylor series, one of which answers a long-standing question by J.-P. Kahane."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0529","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":"1301.0529","created_at":"2026-05-18T00:54:41.979717+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.0529v1","created_at":"2026-05-18T00:54:41.979717+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0529","created_at":"2026-05-18T00:54:41.979717+00:00"},{"alias_kind":"pith_short_12","alias_value":"WJ33KWOJ7IEC","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"WJ33KWOJ7IECHK72","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"WJ33KWOJ","created_at":"2026-05-18T12:28:04.890932+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/WJ33KWOJ7IECHK72SL7Z226R7I","json":"https://pith.science/pith/WJ33KWOJ7IECHK72SL7Z226R7I.json","graph_json":"https://pith.science/api/pith-number/WJ33KWOJ7IECHK72SL7Z226R7I/graph.json","events_json":"https://pith.science/api/pith-number/WJ33KWOJ7IECHK72SL7Z226R7I/events.json","paper":"https://pith.science/paper/WJ33KWOJ"},"agent_actions":{"view_html":"https://pith.science/pith/WJ33KWOJ7IECHK72SL7Z226R7I","download_json":"https://pith.science/pith/WJ33KWOJ7IECHK72SL7Z226R7I.json","view_paper":"https://pith.science/paper/WJ33KWOJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.0529&json=true","fetch_graph":"https://pith.science/api/pith-number/WJ33KWOJ7IECHK72SL7Z226R7I/graph.json","fetch_events":"https://pith.science/api/pith-number/WJ33KWOJ7IECHK72SL7Z226R7I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WJ33KWOJ7IECHK72SL7Z226R7I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WJ33KWOJ7IECHK72SL7Z226R7I/action/storage_attestation","attest_author":"https://pith.science/pith/WJ33KWOJ7IECHK72SL7Z226R7I/action/author_attestation","sign_citation":"https://pith.science/pith/WJ33KWOJ7IECHK72SL7Z226R7I/action/citation_signature","submit_replication":"https://pith.science/pith/WJ33KWOJ7IECHK72SL7Z226R7I/action/replication_record"}},"created_at":"2026-05-18T00:54:41.979717+00:00","updated_at":"2026-05-18T00:54:41.979717+00:00"}