{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5POJOPF2TOMFWU7KUSPW6RED5E","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":"79e90ab437140ec4154d1918b1d5b11e6a04827aea55fbe7e1350be5e25bfba5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-03-29T13:20:45Z","title_canon_sha256":"7bb41d2487bcadcb7bf9ed9e10aaf92b1f50eb318660e277660bb42f22982930"},"schema_version":"1.0","source":{"id":"1603.08762","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08762","created_at":"2026-05-18T01:18:05Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08762v1","created_at":"2026-05-18T01:18:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08762","created_at":"2026-05-18T01:18:05Z"},{"alias_kind":"pith_short_12","alias_value":"5POJOPF2TOMF","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5POJOPF2TOMFWU7K","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5POJOPF2","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:fa7bfad4568e9499aa4adf776f03ceab352e1a3f71c1741b87fb2b9a19911079","target":"graph","created_at":"2026-05-18T01:18:05Z","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"},"paper":{"abstract_excerpt":"In this paper we show two results. In the first result we consider $\\lambda_n-n=\\frac{A}{n^\\alpha}$ for $n\\in\\mathbb N$; if $\\alpha>1/2$ and $0<A<\\frac{1}{\\pi\\sqrt{2 \\sqrt{2}\\zeta(2\\alpha)}}$, the system $\\left\\{\\operatorname{sinc}( \\lambda_n - t)\\right\\}_{n\\in\\mathbb N}$ is a Riesz basis for $PW_{\\pi}$. With the second result, we study the stability of $\\left\\{\\operatorname{sinc}( \\lambda_n - t)\\right\\}_{n\\in\\mathbb Z}$ for $\\lambda_n\\in\\mathbb C$; if $|\\lambda_n-n|\\leqq L<\\frac{1}{\\pi}\\, \\sqrt\\frac{3\\alpha}{8}$, for all $n\\in\\mathbb Z$, then $\\{\\operatorname{sinc}(\\lambda_n-t)\\}_{n\\in\\mathbb","authors_text":"Antonio Avantaggiati, Paola Loreti, Pierluigi Vellucci","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-03-29T13:20:45Z","title":"Kadec-1/4 Theorem for Sinc Bases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08762","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:f460dce700dc5f2732c19013c8b4cddd5c6eabfdf1829747dd6cb5e316fd9661","target":"record","created_at":"2026-05-18T01:18:05Z","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":"79e90ab437140ec4154d1918b1d5b11e6a04827aea55fbe7e1350be5e25bfba5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-03-29T13:20:45Z","title_canon_sha256":"7bb41d2487bcadcb7bf9ed9e10aaf92b1f50eb318660e277660bb42f22982930"},"schema_version":"1.0","source":{"id":"1603.08762","kind":"arxiv","version":1}},"canonical_sha256":"ebdc973cba9b985b53eaa49f6f4483e9035833306d09444e47b30518022ee2ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebdc973cba9b985b53eaa49f6f4483e9035833306d09444e47b30518022ee2ae","first_computed_at":"2026-05-18T01:18:05.395938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:05.395938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2WmYoObOWMtMms3DULaocBWglqINl+nPp7MbdBdNU6V6Y082WHyiX9wG6wIxak115Lix2NVchsUmIqAIXtJvBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:05.396496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.08762","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f460dce700dc5f2732c19013c8b4cddd5c6eabfdf1829747dd6cb5e316fd9661","sha256:fa7bfad4568e9499aa4adf776f03ceab352e1a3f71c1741b87fb2b9a19911079"],"state_sha256":"fb44c8aaafe6a4ebb48cb43edd0bb4ab284ed21d6ca0298487d775f4a60d2346"}