{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:XRSSGR7MP6KMVBOADDWCPVVYDI","short_pith_number":"pith:XRSSGR7M","schema_version":"1.0","canonical_sha256":"bc652347ec7f94ca85c018ec27d6b81a39f9a8c037e2776d7a036c6575461151","source":{"kind":"arxiv","id":"1606.08255","version":1},"attestation_state":"computed","paper":{"title":"On exponential type entire functions without zeros in the open lower half-plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.CA","authors_text":"Viktor P. Zastavnyi","submitted_at":"2016-06-27T13:06:02Z","abstract_excerpt":"We obtain sufficient conditions for an exponential type entire function not to have zeros in the open lower half-plane. An exact inequality containing the real and imaginary parts of such functions and their derivatives restricted to the real axis is deduced. A connection is established to the positive definite 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":"1606.08255","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-06-27T13:06:02Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"6eb2c79f1bb8962ab0dc0f60d04e7ac6944c2da99ea8a1ffbba054f12c9961b3","abstract_canon_sha256":"4e37ebc3bed401213e1d437780f03e98a1a2de185ba581c5adbc63afdeb535d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:52.453491Z","signature_b64":"O62KBavx8UQNW5fJLVShlmcH6//7lCdvWWwoA9WNq8vzubsEWR6O32XtfyHgC2vyjOtwlvRquVetMkd4VjpYCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc652347ec7f94ca85c018ec27d6b81a39f9a8c037e2776d7a036c6575461151","last_reissued_at":"2026-05-18T01:11:52.453133Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:52.453133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On exponential type entire functions without zeros in the open lower half-plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.CA","authors_text":"Viktor P. Zastavnyi","submitted_at":"2016-06-27T13:06:02Z","abstract_excerpt":"We obtain sufficient conditions for an exponential type entire function not to have zeros in the open lower half-plane. An exact inequality containing the real and imaginary parts of such functions and their derivatives restricted to the real axis is deduced. A connection is established to the positive definite functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08255","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":"1606.08255","created_at":"2026-05-18T01:11:52.453192+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.08255v1","created_at":"2026-05-18T01:11:52.453192+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08255","created_at":"2026-05-18T01:11:52.453192+00:00"},{"alias_kind":"pith_short_12","alias_value":"XRSSGR7MP6KM","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"XRSSGR7MP6KMVBOA","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"XRSSGR7M","created_at":"2026-05-18T12:30:51.357362+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/XRSSGR7MP6KMVBOADDWCPVVYDI","json":"https://pith.science/pith/XRSSGR7MP6KMVBOADDWCPVVYDI.json","graph_json":"https://pith.science/api/pith-number/XRSSGR7MP6KMVBOADDWCPVVYDI/graph.json","events_json":"https://pith.science/api/pith-number/XRSSGR7MP6KMVBOADDWCPVVYDI/events.json","paper":"https://pith.science/paper/XRSSGR7M"},"agent_actions":{"view_html":"https://pith.science/pith/XRSSGR7MP6KMVBOADDWCPVVYDI","download_json":"https://pith.science/pith/XRSSGR7MP6KMVBOADDWCPVVYDI.json","view_paper":"https://pith.science/paper/XRSSGR7M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.08255&json=true","fetch_graph":"https://pith.science/api/pith-number/XRSSGR7MP6KMVBOADDWCPVVYDI/graph.json","fetch_events":"https://pith.science/api/pith-number/XRSSGR7MP6KMVBOADDWCPVVYDI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XRSSGR7MP6KMVBOADDWCPVVYDI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XRSSGR7MP6KMVBOADDWCPVVYDI/action/storage_attestation","attest_author":"https://pith.science/pith/XRSSGR7MP6KMVBOADDWCPVVYDI/action/author_attestation","sign_citation":"https://pith.science/pith/XRSSGR7MP6KMVBOADDWCPVVYDI/action/citation_signature","submit_replication":"https://pith.science/pith/XRSSGR7MP6KMVBOADDWCPVVYDI/action/replication_record"}},"created_at":"2026-05-18T01:11:52.453192+00:00","updated_at":"2026-05-18T01:11:52.453192+00:00"}