{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:G6CXEC632OD7PPGBMP6PGXJI2H","short_pith_number":"pith:G6CXEC63","schema_version":"1.0","canonical_sha256":"3785720bdbd387f7bcc163fcf35d28d1faad71ec385676081f7b0fb6e8359875","source":{"kind":"arxiv","id":"1905.07148","version":1},"attestation_state":"computed","paper":{"title":"Solution to the Stieltjes moment problem in Gelfand-Shilov spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.FA","authors_text":"Andreas Debrouwere","submitted_at":"2019-05-17T07:49:28Z","abstract_excerpt":"We characterize the surjectivity and the existence of a continuous linear right inverse of the Stieltjes moment mapping on Gelfand-Shilov spaces, both of Beurling and Roumieu type, in terms of their defining weight sequence. As a corollary, we obtain some new results about the Borel-Ritt problem in spaces of ultraholomorphic functions on the upper half-plane."},"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":"1905.07148","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-05-17T07:49:28Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"b0b877111dde873b4ffee6da4626ee17cb941535d31c6d162b6357e5d1ca1a07","abstract_canon_sha256":"0a7657b4aa2d4c86ce9476d1051b007a804810475de75dec8290f689c69dda49"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:57.187960Z","signature_b64":"Jrupn/7PHSMtYASdzKozAdkKtFZQNbaMnRiotwmx0QlS0/ExF0T8ujc5RxSCBkM9/VABKmRTsfZhx1PJdv3VDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3785720bdbd387f7bcc163fcf35d28d1faad71ec385676081f7b0fb6e8359875","last_reissued_at":"2026-05-17T23:45:57.187433Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:57.187433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solution to the Stieltjes moment problem in Gelfand-Shilov spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.FA","authors_text":"Andreas Debrouwere","submitted_at":"2019-05-17T07:49:28Z","abstract_excerpt":"We characterize the surjectivity and the existence of a continuous linear right inverse of the Stieltjes moment mapping on Gelfand-Shilov spaces, both of Beurling and Roumieu type, in terms of their defining weight sequence. As a corollary, we obtain some new results about the Borel-Ritt problem in spaces of ultraholomorphic functions on the upper half-plane."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.07148","kind":"arxiv","version":1},"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":"1905.07148","created_at":"2026-05-17T23:45:57.187503+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.07148v1","created_at":"2026-05-17T23:45:57.187503+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.07148","created_at":"2026-05-17T23:45:57.187503+00:00"},{"alias_kind":"pith_short_12","alias_value":"G6CXEC632OD7","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"G6CXEC632OD7PPGB","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"G6CXEC63","created_at":"2026-05-18T12:33:18.533446+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/G6CXEC632OD7PPGBMP6PGXJI2H","json":"https://pith.science/pith/G6CXEC632OD7PPGBMP6PGXJI2H.json","graph_json":"https://pith.science/api/pith-number/G6CXEC632OD7PPGBMP6PGXJI2H/graph.json","events_json":"https://pith.science/api/pith-number/G6CXEC632OD7PPGBMP6PGXJI2H/events.json","paper":"https://pith.science/paper/G6CXEC63"},"agent_actions":{"view_html":"https://pith.science/pith/G6CXEC632OD7PPGBMP6PGXJI2H","download_json":"https://pith.science/pith/G6CXEC632OD7PPGBMP6PGXJI2H.json","view_paper":"https://pith.science/paper/G6CXEC63","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.07148&json=true","fetch_graph":"https://pith.science/api/pith-number/G6CXEC632OD7PPGBMP6PGXJI2H/graph.json","fetch_events":"https://pith.science/api/pith-number/G6CXEC632OD7PPGBMP6PGXJI2H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G6CXEC632OD7PPGBMP6PGXJI2H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G6CXEC632OD7PPGBMP6PGXJI2H/action/storage_attestation","attest_author":"https://pith.science/pith/G6CXEC632OD7PPGBMP6PGXJI2H/action/author_attestation","sign_citation":"https://pith.science/pith/G6CXEC632OD7PPGBMP6PGXJI2H/action/citation_signature","submit_replication":"https://pith.science/pith/G6CXEC632OD7PPGBMP6PGXJI2H/action/replication_record"}},"created_at":"2026-05-17T23:45:57.187503+00:00","updated_at":"2026-05-17T23:45:57.187503+00:00"}