{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:VMWBU63LJWHGEH3WIGCOXW4DMJ","short_pith_number":"pith:VMWBU63L","schema_version":"1.0","canonical_sha256":"ab2c1a7b6b4d8e621f764184ebdb83625f0b6b435ef1deb50ace96849e575e32","source":{"kind":"arxiv","id":"1508.00417","version":1},"attestation_state":"computed","paper":{"title":"On flat polynomials with non-Negative coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.NT","math.PR","math.SP"],"primary_cat":"math.DS","authors_text":"E. H. El Abdalaoui, M. G. Nadkarni","submitted_at":"2015-08-03T13:56:21Z","abstract_excerpt":"We formulate and prove a necessary condition for a sequence of analytic trigonometric polynomials with real non-negative coefficients to be flat a.e."},"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":"1508.00417","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-08-03T13:56:21Z","cross_cats_sorted":["math.CV","math.NT","math.PR","math.SP"],"title_canon_sha256":"893c4a9bc5d59d1effc58b4ec2d0050a630c12695d81e6ed1bb9c7960eb4bc7d","abstract_canon_sha256":"6fc75e085865481a9ccd8458be4181dcf093ea6fc63247f3c1f211306c95efb0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:58.157660Z","signature_b64":"jYy14SyKVpSMwKKhesIUVvJWTUyAu4M/hB2ChLW/ynsXri3tGGY0YyueRAQQ/FOpYP5mDiOAMD9b9miqlJgvBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab2c1a7b6b4d8e621f764184ebdb83625f0b6b435ef1deb50ace96849e575e32","last_reissued_at":"2026-05-18T01:35:58.157029Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:58.157029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On flat polynomials with non-Negative coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.NT","math.PR","math.SP"],"primary_cat":"math.DS","authors_text":"E. H. El Abdalaoui, M. G. Nadkarni","submitted_at":"2015-08-03T13:56:21Z","abstract_excerpt":"We formulate and prove a necessary condition for a sequence of analytic trigonometric polynomials with real non-negative coefficients to be flat a.e."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00417","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":"1508.00417","created_at":"2026-05-18T01:35:58.157135+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.00417v1","created_at":"2026-05-18T01:35:58.157135+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00417","created_at":"2026-05-18T01:35:58.157135+00:00"},{"alias_kind":"pith_short_12","alias_value":"VMWBU63LJWHG","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"VMWBU63LJWHGEH3W","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"VMWBU63L","created_at":"2026-05-18T12:29:47.479230+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/VMWBU63LJWHGEH3WIGCOXW4DMJ","json":"https://pith.science/pith/VMWBU63LJWHGEH3WIGCOXW4DMJ.json","graph_json":"https://pith.science/api/pith-number/VMWBU63LJWHGEH3WIGCOXW4DMJ/graph.json","events_json":"https://pith.science/api/pith-number/VMWBU63LJWHGEH3WIGCOXW4DMJ/events.json","paper":"https://pith.science/paper/VMWBU63L"},"agent_actions":{"view_html":"https://pith.science/pith/VMWBU63LJWHGEH3WIGCOXW4DMJ","download_json":"https://pith.science/pith/VMWBU63LJWHGEH3WIGCOXW4DMJ.json","view_paper":"https://pith.science/paper/VMWBU63L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.00417&json=true","fetch_graph":"https://pith.science/api/pith-number/VMWBU63LJWHGEH3WIGCOXW4DMJ/graph.json","fetch_events":"https://pith.science/api/pith-number/VMWBU63LJWHGEH3WIGCOXW4DMJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VMWBU63LJWHGEH3WIGCOXW4DMJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VMWBU63LJWHGEH3WIGCOXW4DMJ/action/storage_attestation","attest_author":"https://pith.science/pith/VMWBU63LJWHGEH3WIGCOXW4DMJ/action/author_attestation","sign_citation":"https://pith.science/pith/VMWBU63LJWHGEH3WIGCOXW4DMJ/action/citation_signature","submit_replication":"https://pith.science/pith/VMWBU63LJWHGEH3WIGCOXW4DMJ/action/replication_record"}},"created_at":"2026-05-18T01:35:58.157135+00:00","updated_at":"2026-05-18T01:35:58.157135+00:00"}