{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:OTEYJKZ26UJN2FYL7NI7AVVTRN","short_pith_number":"pith:OTEYJKZ2","schema_version":"1.0","canonical_sha256":"74c984ab3af512dd170bfb51f056b38b49f1e45d6d271e107940e08bc0fb78f3","source":{"kind":"arxiv","id":"2408.01186","version":1},"attestation_state":"computed","paper":{"title":"Sign uncertainty and de Branges spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.NT"],"primary_cat":"math.CA","authors_text":"Antonio Pedro Ramos, Emanuel Carneiro, Tolibjon Ismoilov","submitted_at":"2024-08-02T11:13:32Z","abstract_excerpt":"We investigate here the sign uncertainty phenomenon for bandlimited functions, with a competing condition given by integration with respect to a general measure. Our main result provides a framework related to the theory of de Branges spaces of entire functions, that allows one to find the sharp constants and classify the extremizers in a broad range of situations. We discuss an application in number theory, in connection to bounds for zeros of $L$-functions."},"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":"2408.01186","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2024-08-02T11:13:32Z","cross_cats_sorted":["math.CV","math.NT"],"title_canon_sha256":"8000719046129259e2918a4f62e6392309ebde09d411de93df2bb71c20f0dfb8","abstract_canon_sha256":"7be18e507f6c7b5c0c3a789ae2ebd9d4ce26c76ae41cde27137a01fb889fe72e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:51:28.326780Z","signature_b64":"J5U1bTPaVJdhAcCUCFcw7Q0VvXPUXehNjgtYtt6ayUs1/5iBMFND8fL8qgL737QkjSJWEj+Dqsg+mNtuyramAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74c984ab3af512dd170bfb51f056b38b49f1e45d6d271e107940e08bc0fb78f3","last_reissued_at":"2026-07-05T08:51:28.326375Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:51:28.326375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sign uncertainty and de Branges spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.NT"],"primary_cat":"math.CA","authors_text":"Antonio Pedro Ramos, Emanuel Carneiro, Tolibjon Ismoilov","submitted_at":"2024-08-02T11:13:32Z","abstract_excerpt":"We investigate here the sign uncertainty phenomenon for bandlimited functions, with a competing condition given by integration with respect to a general measure. Our main result provides a framework related to the theory of de Branges spaces of entire functions, that allows one to find the sharp constants and classify the extremizers in a broad range of situations. We discuss an application in number theory, in connection to bounds for zeros of $L$-functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.01186","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2408.01186/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2408.01186","created_at":"2026-07-05T08:51:28.326441+00:00"},{"alias_kind":"arxiv_version","alias_value":"2408.01186v1","created_at":"2026-07-05T08:51:28.326441+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.01186","created_at":"2026-07-05T08:51:28.326441+00:00"},{"alias_kind":"pith_short_12","alias_value":"OTEYJKZ26UJN","created_at":"2026-07-05T08:51:28.326441+00:00"},{"alias_kind":"pith_short_16","alias_value":"OTEYJKZ26UJN2FYL","created_at":"2026-07-05T08:51:28.326441+00:00"},{"alias_kind":"pith_short_8","alias_value":"OTEYJKZ2","created_at":"2026-07-05T08:51:28.326441+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.02299","citing_title":"Sharp sign uncertainty for trigonometric polynomials","ref_index":5,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OTEYJKZ26UJN2FYL7NI7AVVTRN","json":"https://pith.science/pith/OTEYJKZ26UJN2FYL7NI7AVVTRN.json","graph_json":"https://pith.science/api/pith-number/OTEYJKZ26UJN2FYL7NI7AVVTRN/graph.json","events_json":"https://pith.science/api/pith-number/OTEYJKZ26UJN2FYL7NI7AVVTRN/events.json","paper":"https://pith.science/paper/OTEYJKZ2"},"agent_actions":{"view_html":"https://pith.science/pith/OTEYJKZ26UJN2FYL7NI7AVVTRN","download_json":"https://pith.science/pith/OTEYJKZ26UJN2FYL7NI7AVVTRN.json","view_paper":"https://pith.science/paper/OTEYJKZ2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2408.01186&json=true","fetch_graph":"https://pith.science/api/pith-number/OTEYJKZ26UJN2FYL7NI7AVVTRN/graph.json","fetch_events":"https://pith.science/api/pith-number/OTEYJKZ26UJN2FYL7NI7AVVTRN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OTEYJKZ26UJN2FYL7NI7AVVTRN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OTEYJKZ26UJN2FYL7NI7AVVTRN/action/storage_attestation","attest_author":"https://pith.science/pith/OTEYJKZ26UJN2FYL7NI7AVVTRN/action/author_attestation","sign_citation":"https://pith.science/pith/OTEYJKZ26UJN2FYL7NI7AVVTRN/action/citation_signature","submit_replication":"https://pith.science/pith/OTEYJKZ26UJN2FYL7NI7AVVTRN/action/replication_record"}},"created_at":"2026-07-05T08:51:28.326441+00:00","updated_at":"2026-07-05T08:51:28.326441+00:00"}