{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OTEYJKZ26UJN2FYL7NI7AVVTRN","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":"7be18e507f6c7b5c0c3a789ae2ebd9d4ce26c76ae41cde27137a01fb889fe72e","cross_cats_sorted":["math.CV","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2024-08-02T11:13:32Z","title_canon_sha256":"8000719046129259e2918a4f62e6392309ebde09d411de93df2bb71c20f0dfb8"},"schema_version":"1.0","source":{"id":"2408.01186","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.01186","created_at":"2026-07-05T08:51:28Z"},{"alias_kind":"arxiv_version","alias_value":"2408.01186v1","created_at":"2026-07-05T08:51:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.01186","created_at":"2026-07-05T08:51:28Z"},{"alias_kind":"pith_short_12","alias_value":"OTEYJKZ26UJN","created_at":"2026-07-05T08:51:28Z"},{"alias_kind":"pith_short_16","alias_value":"OTEYJKZ26UJN2FYL","created_at":"2026-07-05T08:51:28Z"},{"alias_kind":"pith_short_8","alias_value":"OTEYJKZ2","created_at":"2026-07-05T08:51:28Z"}],"graph_snapshots":[{"event_id":"sha256:b25a355393e9eb99fd03b174d34305d382a553994e953af4fc899c630dfd62a6","target":"graph","created_at":"2026-07-05T08:51:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2408.01186/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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.","authors_text":"Antonio Pedro Ramos, Emanuel Carneiro, Tolibjon Ismoilov","cross_cats":["math.CV","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2024-08-02T11:13:32Z","title":"Sign uncertainty and de Branges spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.01186","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":"sha256:04ae07bde6849f7511c4f8f3a5d977741bfb4f9e8202ca7dc6485a5dabaff3c9","target":"record","created_at":"2026-07-05T08:51:28Z","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":"7be18e507f6c7b5c0c3a789ae2ebd9d4ce26c76ae41cde27137a01fb889fe72e","cross_cats_sorted":["math.CV","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2024-08-02T11:13:32Z","title_canon_sha256":"8000719046129259e2918a4f62e6392309ebde09d411de93df2bb71c20f0dfb8"},"schema_version":"1.0","source":{"id":"2408.01186","kind":"arxiv","version":1}},"canonical_sha256":"74c984ab3af512dd170bfb51f056b38b49f1e45d6d271e107940e08bc0fb78f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74c984ab3af512dd170bfb51f056b38b49f1e45d6d271e107940e08bc0fb78f3","first_computed_at":"2026-07-05T08:51:28.326375Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:51:28.326375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J5U1bTPaVJdhAcCUCFcw7Q0VvXPUXehNjgtYtt6ayUs1/5iBMFND8fL8qgL737QkjSJWEj+Dqsg+mNtuyramAA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:51:28.326780Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.01186","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04ae07bde6849f7511c4f8f3a5d977741bfb4f9e8202ca7dc6485a5dabaff3c9","sha256:b25a355393e9eb99fd03b174d34305d382a553994e953af4fc899c630dfd62a6"],"state_sha256":"5d3daf87941c67c564e5d54070ebfa504b0d631b8d9efb1d5516077fa682a5ba"}