{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:G6CXEC632OD7PPGBMP6PGXJI2H","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":"0a7657b4aa2d4c86ce9476d1051b007a804810475de75dec8290f689c69dda49","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-05-17T07:49:28Z","title_canon_sha256":"b0b877111dde873b4ffee6da4626ee17cb941535d31c6d162b6357e5d1ca1a07"},"schema_version":"1.0","source":{"id":"1905.07148","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.07148","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"arxiv_version","alias_value":"1905.07148v1","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.07148","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"pith_short_12","alias_value":"G6CXEC632OD7","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"G6CXEC632OD7PPGB","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"G6CXEC63","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:f25af8bb68b04cda45b32672804a8feccb6f190195fded33abe23652567c6929","target":"graph","created_at":"2026-05-17T23:45:57Z","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":"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.","authors_text":"Andreas Debrouwere","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-05-17T07:49:28Z","title":"Solution to the Stieltjes moment problem in Gelfand-Shilov spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.07148","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:eefe95ae173ac2a8201cbf094b3a361b7729782e0dfd1eba8d716ccfcfcf491d","target":"record","created_at":"2026-05-17T23:45:57Z","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":"0a7657b4aa2d4c86ce9476d1051b007a804810475de75dec8290f689c69dda49","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-05-17T07:49:28Z","title_canon_sha256":"b0b877111dde873b4ffee6da4626ee17cb941535d31c6d162b6357e5d1ca1a07"},"schema_version":"1.0","source":{"id":"1905.07148","kind":"arxiv","version":1}},"canonical_sha256":"3785720bdbd387f7bcc163fcf35d28d1faad71ec385676081f7b0fb6e8359875","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3785720bdbd387f7bcc163fcf35d28d1faad71ec385676081f7b0fb6e8359875","first_computed_at":"2026-05-17T23:45:57.187433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:57.187433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jrupn/7PHSMtYASdzKozAdkKtFZQNbaMnRiotwmx0QlS0/ExF0T8ujc5RxSCBkM9/VABKmRTsfZhx1PJdv3VDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:57.187960Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.07148","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eefe95ae173ac2a8201cbf094b3a361b7729782e0dfd1eba8d716ccfcfcf491d","sha256:f25af8bb68b04cda45b32672804a8feccb6f190195fded33abe23652567c6929"],"state_sha256":"fe6d484c87ed44b95e5df3514cef80b00fc0d07c904e7d869f226b1bb315bc24"}