{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:FN636U74WVKMSBUTF3G3RI5WMM","short_pith_number":"pith:FN636U74","schema_version":"1.0","canonical_sha256":"2b7dbf53fcb554c906932ecdb8a3b6630d600e5708c7eca99bd23be2f48742a4","source":{"kind":"arxiv","id":"1003.2060","version":3},"attestation_state":"computed","paper":{"title":"Zeros of the Hurwitz zeta function in the interval (0,1)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Davide Schipani","submitted_at":"2010-03-10T09:50:23Z","abstract_excerpt":"We first give a condition on the parameters $s,w$ under which the Hurwitz zeta function $\\zeta(s,w)$ has no zeros and is actually negative. As a corollary we derive that it is nonzero for $w\\geq 1$ and $s\\in(0,1)$ and, as a particular instance, the known result that the classical zeta function has no zeros in $(0,1)$."},"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":"1003.2060","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-03-10T09:50:23Z","cross_cats_sorted":[],"title_canon_sha256":"5ff21c844420335e4baf7a87a15457c5fd568482411f31ccf9237f84023bd33e","abstract_canon_sha256":"df8f3ad231158de56c3887ea524f133edae7d826d427c034e59bd6e05abba077"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:03.833482Z","signature_b64":"Xv1HSvusYdxaGddSV6tDYrSKDUh0PxaLm/gUDlfNOFRpmzs87qcFsRnZQKUArhILoPp3SMZ/hLWllG6CsyNBCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b7dbf53fcb554c906932ecdb8a3b6630d600e5708c7eca99bd23be2f48742a4","last_reissued_at":"2026-05-18T04:30:03.833101Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:03.833101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Zeros of the Hurwitz zeta function in the interval (0,1)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Davide Schipani","submitted_at":"2010-03-10T09:50:23Z","abstract_excerpt":"We first give a condition on the parameters $s,w$ under which the Hurwitz zeta function $\\zeta(s,w)$ has no zeros and is actually negative. As a corollary we derive that it is nonzero for $w\\geq 1$ and $s\\in(0,1)$ and, as a particular instance, the known result that the classical zeta function has no zeros in $(0,1)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2060","kind":"arxiv","version":3},"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":"1003.2060","created_at":"2026-05-18T04:30:03.833157+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.2060v3","created_at":"2026-05-18T04:30:03.833157+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2060","created_at":"2026-05-18T04:30:03.833157+00:00"},{"alias_kind":"pith_short_12","alias_value":"FN636U74WVKM","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"FN636U74WVKMSBUT","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"FN636U74","created_at":"2026-05-18T12:26:07.630475+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/FN636U74WVKMSBUTF3G3RI5WMM","json":"https://pith.science/pith/FN636U74WVKMSBUTF3G3RI5WMM.json","graph_json":"https://pith.science/api/pith-number/FN636U74WVKMSBUTF3G3RI5WMM/graph.json","events_json":"https://pith.science/api/pith-number/FN636U74WVKMSBUTF3G3RI5WMM/events.json","paper":"https://pith.science/paper/FN636U74"},"agent_actions":{"view_html":"https://pith.science/pith/FN636U74WVKMSBUTF3G3RI5WMM","download_json":"https://pith.science/pith/FN636U74WVKMSBUTF3G3RI5WMM.json","view_paper":"https://pith.science/paper/FN636U74","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.2060&json=true","fetch_graph":"https://pith.science/api/pith-number/FN636U74WVKMSBUTF3G3RI5WMM/graph.json","fetch_events":"https://pith.science/api/pith-number/FN636U74WVKMSBUTF3G3RI5WMM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FN636U74WVKMSBUTF3G3RI5WMM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FN636U74WVKMSBUTF3G3RI5WMM/action/storage_attestation","attest_author":"https://pith.science/pith/FN636U74WVKMSBUTF3G3RI5WMM/action/author_attestation","sign_citation":"https://pith.science/pith/FN636U74WVKMSBUTF3G3RI5WMM/action/citation_signature","submit_replication":"https://pith.science/pith/FN636U74WVKMSBUTF3G3RI5WMM/action/replication_record"}},"created_at":"2026-05-18T04:30:03.833157+00:00","updated_at":"2026-05-18T04:30:03.833157+00:00"}