{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:JOAC7RPZLUROFHLNBJGOQEBRVT","short_pith_number":"pith:JOAC7RPZ","schema_version":"1.0","canonical_sha256":"4b802fc5f95d22e29d6d0a4ce81031aceff4b0127b1c943964a19f03f445b1ae","source":{"kind":"arxiv","id":"1902.02641","version":1},"attestation_state":"computed","paper":{"title":"Remarks on the Choquet Integral Calculus on $[a, t]$, with $a\\in \\mathbb{R}$","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Sorin G. Gal","submitted_at":"2019-02-06T01:21:27Z","abstract_excerpt":"In this note, we extend the considerations for the Choquet integral calculus on the interval $[0, t]$ introduced in \\cite{Su}, \\cite{Su3}, to the case of an interval $[a, t]$, with arbitrary $a\\in \\mathbb{R}$."},"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":"1902.02641","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.GM","submitted_at":"2019-02-06T01:21:27Z","cross_cats_sorted":[],"title_canon_sha256":"1b3c80c1d7bb15137dba15c93877112a2eb2f1a0a564c7ed1d96e0a1ba5ba316","abstract_canon_sha256":"8ac147930ec487545686cde2efb0f8f1fb9dc5cc386b8a56322f34391b8ea242"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:32.601975Z","signature_b64":"ncD8Wsc0qcj2WHYANY4m7s2SdcjGs3g0S8zQTMGfLmMwLxibu7VaZnI/ZMUzMysIgTqK8eHbVJfPv9bVRaTFBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b802fc5f95d22e29d6d0a4ce81031aceff4b0127b1c943964a19f03f445b1ae","last_reissued_at":"2026-05-17T23:54:32.601305Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:32.601305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Remarks on the Choquet Integral Calculus on $[a, t]$, with $a\\in \\mathbb{R}$","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Sorin G. Gal","submitted_at":"2019-02-06T01:21:27Z","abstract_excerpt":"In this note, we extend the considerations for the Choquet integral calculus on the interval $[0, t]$ introduced in \\cite{Su}, \\cite{Su3}, to the case of an interval $[a, t]$, with arbitrary $a\\in \\mathbb{R}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02641","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":"1902.02641","created_at":"2026-05-17T23:54:32.601426+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.02641v1","created_at":"2026-05-17T23:54:32.601426+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02641","created_at":"2026-05-17T23:54:32.601426+00:00"},{"alias_kind":"pith_short_12","alias_value":"JOAC7RPZLURO","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"JOAC7RPZLUROFHLN","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"JOAC7RPZ","created_at":"2026-05-18T12:33:21.387695+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/JOAC7RPZLUROFHLNBJGOQEBRVT","json":"https://pith.science/pith/JOAC7RPZLUROFHLNBJGOQEBRVT.json","graph_json":"https://pith.science/api/pith-number/JOAC7RPZLUROFHLNBJGOQEBRVT/graph.json","events_json":"https://pith.science/api/pith-number/JOAC7RPZLUROFHLNBJGOQEBRVT/events.json","paper":"https://pith.science/paper/JOAC7RPZ"},"agent_actions":{"view_html":"https://pith.science/pith/JOAC7RPZLUROFHLNBJGOQEBRVT","download_json":"https://pith.science/pith/JOAC7RPZLUROFHLNBJGOQEBRVT.json","view_paper":"https://pith.science/paper/JOAC7RPZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.02641&json=true","fetch_graph":"https://pith.science/api/pith-number/JOAC7RPZLUROFHLNBJGOQEBRVT/graph.json","fetch_events":"https://pith.science/api/pith-number/JOAC7RPZLUROFHLNBJGOQEBRVT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JOAC7RPZLUROFHLNBJGOQEBRVT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JOAC7RPZLUROFHLNBJGOQEBRVT/action/storage_attestation","attest_author":"https://pith.science/pith/JOAC7RPZLUROFHLNBJGOQEBRVT/action/author_attestation","sign_citation":"https://pith.science/pith/JOAC7RPZLUROFHLNBJGOQEBRVT/action/citation_signature","submit_replication":"https://pith.science/pith/JOAC7RPZLUROFHLNBJGOQEBRVT/action/replication_record"}},"created_at":"2026-05-17T23:54:32.601426+00:00","updated_at":"2026-05-17T23:54:32.601426+00:00"}