{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:TZJ4YS367WLRRRE6N7YKYXLULF","short_pith_number":"pith:TZJ4YS36","schema_version":"1.0","canonical_sha256":"9e53cc4b7efd9718c49e6ff0ac5d745956b87fd672c0a3051db60599b43b3952","source":{"kind":"arxiv","id":"1504.03626","version":4},"attestation_state":"computed","paper":{"title":"The Multidimensional Moment Problem with Complexity Constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OC","authors_text":"Anders Lindquist, Axel Ringh, Johan Karlsson","submitted_at":"2015-04-14T16:55:21Z","abstract_excerpt":"A long series of previous papers have been devoted to the (one-dimensional) moment problem with nonnegative rational measure. The rationality assumption is a complexity constraint motivated by applications where a parameterization of the solution set in terms of a bounded finite number of parameters is required. In this paper we provide a complete solution of the multidimensional moment problem with a complexity constraint also allowing for solutions that require a singular measure added to the rational, absolutely continuous one. Such solutions occur on the boundary of a certain convex cone o"},"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":"1504.03626","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-14T16:55:21Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"cc757a8ab8c230942cc2787d6f8dfdfa72329ffa3458c9d2ddc0014454858a2b","abstract_canon_sha256":"294f0b29078ef1dbfab2b84462d3b977dc235dc79b10aa386e0b989f3be54af0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:37.595705Z","signature_b64":"X1voWjWzxwdvG9AkWPFcGkpbT6uDoQpEozIbjdNJiwh3R172vof4QIlbBneDpjHG8EVdPG4r7614369BGyi8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e53cc4b7efd9718c49e6ff0ac5d745956b87fd672c0a3051db60599b43b3952","last_reissued_at":"2026-05-18T01:17:37.594550Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:37.594550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Multidimensional Moment Problem with Complexity Constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OC","authors_text":"Anders Lindquist, Axel Ringh, Johan Karlsson","submitted_at":"2015-04-14T16:55:21Z","abstract_excerpt":"A long series of previous papers have been devoted to the (one-dimensional) moment problem with nonnegative rational measure. The rationality assumption is a complexity constraint motivated by applications where a parameterization of the solution set in terms of a bounded finite number of parameters is required. In this paper we provide a complete solution of the multidimensional moment problem with a complexity constraint also allowing for solutions that require a singular measure added to the rational, absolutely continuous one. Such solutions occur on the boundary of a certain convex cone o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03626","kind":"arxiv","version":4},"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":"1504.03626","created_at":"2026-05-18T01:17:37.595120+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.03626v4","created_at":"2026-05-18T01:17:37.595120+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03626","created_at":"2026-05-18T01:17:37.595120+00:00"},{"alias_kind":"pith_short_12","alias_value":"TZJ4YS367WLR","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"TZJ4YS367WLRRRE6","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"TZJ4YS36","created_at":"2026-05-18T12:29:44.643036+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/TZJ4YS367WLRRRE6N7YKYXLULF","json":"https://pith.science/pith/TZJ4YS367WLRRRE6N7YKYXLULF.json","graph_json":"https://pith.science/api/pith-number/TZJ4YS367WLRRRE6N7YKYXLULF/graph.json","events_json":"https://pith.science/api/pith-number/TZJ4YS367WLRRRE6N7YKYXLULF/events.json","paper":"https://pith.science/paper/TZJ4YS36"},"agent_actions":{"view_html":"https://pith.science/pith/TZJ4YS367WLRRRE6N7YKYXLULF","download_json":"https://pith.science/pith/TZJ4YS367WLRRRE6N7YKYXLULF.json","view_paper":"https://pith.science/paper/TZJ4YS36","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.03626&json=true","fetch_graph":"https://pith.science/api/pith-number/TZJ4YS367WLRRRE6N7YKYXLULF/graph.json","fetch_events":"https://pith.science/api/pith-number/TZJ4YS367WLRRRE6N7YKYXLULF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TZJ4YS367WLRRRE6N7YKYXLULF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TZJ4YS367WLRRRE6N7YKYXLULF/action/storage_attestation","attest_author":"https://pith.science/pith/TZJ4YS367WLRRRE6N7YKYXLULF/action/author_attestation","sign_citation":"https://pith.science/pith/TZJ4YS367WLRRRE6N7YKYXLULF/action/citation_signature","submit_replication":"https://pith.science/pith/TZJ4YS367WLRRRE6N7YKYXLULF/action/replication_record"}},"created_at":"2026-05-18T01:17:37.595120+00:00","updated_at":"2026-05-18T01:17:37.595120+00:00"}