{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7FQYNKACSQSLBLRV62NJCSL3AC","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":"d3da08eed35535dc2ef2c23cbf95cb690c89b699ab7a7a045205deef63f80d10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-04-22T20:32:09Z","title_canon_sha256":"3e8a29da1217f3fa57cae3659c0fa2b37597449abc7afe5e4b4f6b27b6a66bd8"},"schema_version":"1.0","source":{"id":"1504.05976","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05976","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05976v1","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05976","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"pith_short_12","alias_value":"7FQYNKACSQSL","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7FQYNKACSQSLBLRV","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7FQYNKAC","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:fb4cdac0df576ba5059b57f197289f19302aada87bc56bf5d59dde60d95632c8","target":"graph","created_at":"2026-05-18T02:18:03Z","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":"This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure: \\[ \\frac{1}{x-c}x^{\\alpha }e^{-x}dx+N\\delta (x-c), \\] for $x\\in[0,\\infty)$, $\\alpha>-1$, a free parameter $N\\in \\mathbb{R}_{+}$ and a shift $c<0$. We analyze the asymptotic behavior (both strong and relative to classical Laguerre polynomials) of these orthogonal polynomials as $n$ tends to infinity.","authors_text":"Alfredo Dea\\~no, Edmundo J. Huertas, Pablo Rom\\'an","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-04-22T20:32:09Z","title":"Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05976","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":"sha256:5b7e15b8f45376b929d21aa0169255ba6bc7e853fe9a390cf85436965a3bd718","target":"record","created_at":"2026-05-18T02:18:03Z","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":"d3da08eed35535dc2ef2c23cbf95cb690c89b699ab7a7a045205deef63f80d10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-04-22T20:32:09Z","title_canon_sha256":"3e8a29da1217f3fa57cae3659c0fa2b37597449abc7afe5e4b4f6b27b6a66bd8"},"schema_version":"1.0","source":{"id":"1504.05976","kind":"arxiv","version":1}},"canonical_sha256":"f96186a8029424b0ae35f69a91497b00ae7928d7a3f2b799dc48f2963d4261ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f96186a8029424b0ae35f69a91497b00ae7928d7a3f2b799dc48f2963d4261ad","first_computed_at":"2026-05-18T02:18:03.072798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:03.072798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9+uTmTDo6Fhfxpz/YqFK4cK+FthRyYYrRA0OGVxfxXUKaiERGRbEuqLHnpgjVKPWa/CmC2fYbX6r0mRQwx4rAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:03.073442Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.05976","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b7e15b8f45376b929d21aa0169255ba6bc7e853fe9a390cf85436965a3bd718","sha256:fb4cdac0df576ba5059b57f197289f19302aada87bc56bf5d59dde60d95632c8"],"state_sha256":"b2e8fe9b0aaa5f0e55e22f407f3d92c5388670a9380b4fa3ff1d160e401d0348"}