{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:6BIQ4HLCH3W3G5BZEVO63QMN6B","short_pith_number":"pith:6BIQ4HLC","schema_version":"1.0","canonical_sha256":"f0510e1d623eedb37439255dedc18df07e0ae11b4f3de08d9ddebf3cce9ef486","source":{"kind":"arxiv","id":"1403.3729","version":2},"attestation_state":"computed","paper":{"title":"On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.CV","authors_text":"A. I. Aptekarev, A. M\\'artinez-Finkelshtein, G. L\\'opez Lagomasino","submitted_at":"2014-03-15T00:16:34Z","abstract_excerpt":"We consider multiple orthogonal polynomials with respect to Nikishin systems generated by two measures $(\\sigma_1, \\sigma_2)$ with unbounded supports ($\\mbox{supp} \\, \\sigma_1 \\subseteq \\mathbb{R}_+$, $\\mbox{supp} \\, \\sigma_2 \\subseteq \\,\\mathbb{R}_-$) and $\\sigma_2$ is discrete. A Nikishin type equilibrium problem in the presence of an external field acting on $\\mathbb{R}_+$ and a constraint on $ \\mathbb{R}_-$ is stated and solved. The solution is used for deriving the contracted zero distribution of the associated multiple orthogonal polynomials."},"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":"1403.3729","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-03-15T00:16:34Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"b4d72f4d7cf493f4b5f19637a0197c5a5d4007ba1d16eea3539de787d08038da","abstract_canon_sha256":"2cc81f5147f75dd7ef068e954df09e7d4df6b26a8fae0ac0bae80fc0dc7d15a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:06.033148Z","signature_b64":"tVIc0kLAyrdl5q3XtonqX+rwRXkZ8V9I0zMkTDuPjB8GqTPERTTobudrcv3yQwrgJn9zvvSG230GxC5AikaSDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0510e1d623eedb37439255dedc18df07e0ae11b4f3de08d9ddebf3cce9ef486","last_reissued_at":"2026-05-18T00:48:06.032659Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:06.032659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.CV","authors_text":"A. I. Aptekarev, A. M\\'artinez-Finkelshtein, G. L\\'opez Lagomasino","submitted_at":"2014-03-15T00:16:34Z","abstract_excerpt":"We consider multiple orthogonal polynomials with respect to Nikishin systems generated by two measures $(\\sigma_1, \\sigma_2)$ with unbounded supports ($\\mbox{supp} \\, \\sigma_1 \\subseteq \\mathbb{R}_+$, $\\mbox{supp} \\, \\sigma_2 \\subseteq \\,\\mathbb{R}_-$) and $\\sigma_2$ is discrete. A Nikishin type equilibrium problem in the presence of an external field acting on $\\mathbb{R}_+$ and a constraint on $ \\mathbb{R}_-$ is stated and solved. The solution is used for deriving the contracted zero distribution of the associated multiple orthogonal polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3729","kind":"arxiv","version":2},"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":"1403.3729","created_at":"2026-05-18T00:48:06.032739+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.3729v2","created_at":"2026-05-18T00:48:06.032739+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3729","created_at":"2026-05-18T00:48:06.032739+00:00"},{"alias_kind":"pith_short_12","alias_value":"6BIQ4HLCH3W3","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"6BIQ4HLCH3W3G5BZ","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"6BIQ4HLC","created_at":"2026-05-18T12:28:16.859392+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/6BIQ4HLCH3W3G5BZEVO63QMN6B","json":"https://pith.science/pith/6BIQ4HLCH3W3G5BZEVO63QMN6B.json","graph_json":"https://pith.science/api/pith-number/6BIQ4HLCH3W3G5BZEVO63QMN6B/graph.json","events_json":"https://pith.science/api/pith-number/6BIQ4HLCH3W3G5BZEVO63QMN6B/events.json","paper":"https://pith.science/paper/6BIQ4HLC"},"agent_actions":{"view_html":"https://pith.science/pith/6BIQ4HLCH3W3G5BZEVO63QMN6B","download_json":"https://pith.science/pith/6BIQ4HLCH3W3G5BZEVO63QMN6B.json","view_paper":"https://pith.science/paper/6BIQ4HLC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.3729&json=true","fetch_graph":"https://pith.science/api/pith-number/6BIQ4HLCH3W3G5BZEVO63QMN6B/graph.json","fetch_events":"https://pith.science/api/pith-number/6BIQ4HLCH3W3G5BZEVO63QMN6B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6BIQ4HLCH3W3G5BZEVO63QMN6B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6BIQ4HLCH3W3G5BZEVO63QMN6B/action/storage_attestation","attest_author":"https://pith.science/pith/6BIQ4HLCH3W3G5BZEVO63QMN6B/action/author_attestation","sign_citation":"https://pith.science/pith/6BIQ4HLCH3W3G5BZEVO63QMN6B/action/citation_signature","submit_replication":"https://pith.science/pith/6BIQ4HLCH3W3G5BZEVO63QMN6B/action/replication_record"}},"created_at":"2026-05-18T00:48:06.032739+00:00","updated_at":"2026-05-18T00:48:06.032739+00:00"}