{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BXT7RZST5AGAMNFMUYU4ZJWF66","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":"613e7a02d2c2c568c906898741079117bc6a454151904ea376ac12b032e50144","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-05-26T10:27:02Z","title_canon_sha256":"8d6feaff6013c2a36ba11cb7b3e87ce956fc907ff920ec0b7932039ec8b70679"},"schema_version":"1.0","source":{"id":"1405.6530","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6530","created_at":"2026-05-18T01:33:24Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6530v4","created_at":"2026-05-18T01:33:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6530","created_at":"2026-05-18T01:33:24Z"},{"alias_kind":"pith_short_12","alias_value":"BXT7RZST5AGA","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BXT7RZST5AGAMNFM","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BXT7RZST","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:eb7692a517910a7ded058cde9992c44d4e751338140d0f750b19bc81365adf2d","target":"graph","created_at":"2026-05-18T01:33:24Z","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 study Henstock-type integrals for functions defined in a Radon measure space and taking values in a Banach lattice $X$. Both the single-valued case and the multivalued one are considered (in the last case mainly $cwk(X)$-valued mappings are discussed). The main tool to handle the multivalued case is a R{\\aa}dstr\\\"{o}m-type embedding theorem established in [50]: in this way we reduce the norm-integral to that of a single-valued function taking values in an $M$-space and we easily obtain new proofs for some decomposition results recently stated in [33,36], based on the existence of integrable","authors_text":"Anna Rita Sambucini, Antonio Boccuto, Domenico Candeloro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-05-26T10:27:02Z","title":"A note on set-valued Henstock--McShane integral in Banach (lattice) space setting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6530","kind":"arxiv","version":4},"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":"sha256:67e8f807ec8bc8ebf8ada814df994ab71105e796d60f69b833fc28ba248b7543","target":"record","created_at":"2026-05-18T01:33:24Z","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":"613e7a02d2c2c568c906898741079117bc6a454151904ea376ac12b032e50144","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-05-26T10:27:02Z","title_canon_sha256":"8d6feaff6013c2a36ba11cb7b3e87ce956fc907ff920ec0b7932039ec8b70679"},"schema_version":"1.0","source":{"id":"1405.6530","kind":"arxiv","version":4}},"canonical_sha256":"0de7f8e653e80c0634aca629cca6c5f7ba0d20e67d1b8ac10bac539ed0c0c918","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0de7f8e653e80c0634aca629cca6c5f7ba0d20e67d1b8ac10bac539ed0c0c918","first_computed_at":"2026-05-18T01:33:24.445544Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:24.445544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dJ38L/puHW0MVVBPEWWdY9jYdW27ncw/JVowVF981rrOXcKXFAGRMSoMzZnlm00Zk0raPgLLLhA/DohD8ADdDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:24.446193Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.6530","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67e8f807ec8bc8ebf8ada814df994ab71105e796d60f69b833fc28ba248b7543","sha256:eb7692a517910a7ded058cde9992c44d4e751338140d0f750b19bc81365adf2d"],"state_sha256":"8669b8e7493a7aafb23ba2bedbbba937f2cf81149c49187f9e0842691c2bc205"}