{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:33FKD75GUYOVOL7ILMBUK3X6A5","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":"65b4bff90e85f8cf1b65b6b551ebf96af99b4288f172f6ef70ee14943af8473b","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2018-06-04T11:01:50Z","title_canon_sha256":"e140f6e3042a3365ab4c96409003c290402185a784a91d6fc76ae5637c27b5d8"},"schema_version":"1.0","source":{"id":"1806.01044","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01044","created_at":"2026-05-18T00:14:17Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01044v1","created_at":"2026-05-18T00:14:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01044","created_at":"2026-05-18T00:14:17Z"},{"alias_kind":"pith_short_12","alias_value":"33FKD75GUYOV","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"33FKD75GUYOVOL7I","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"33FKD75G","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:b5c3b7e4b8768fd5f7088a484ddf0782841cc6ee80516c0c4fe6cf8f0038a48a","target":"graph","created_at":"2026-05-18T00:14:17Z","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":"Choice functions constitute a simple, direct and very general mathematical framework for modelling choice under uncertainty. In particular, they are able to represent the set-valued choices that typically arise from applying decision rules to imprecise-probabilistic uncertainty models. We provide them with a clear interpretation in terms of attitudes towards gambling, borrowing ideas from the theory of sets of desirable gambles, and we use this interpretation to derive a set of basic axioms. We show that these axioms lead to a full-fledged theory of coherent choice functions, which includes a ","authors_text":"Gert de Cooman, Jasper De Bock","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2018-06-04T11:01:50Z","title":"A Desirability-Based Axiomatisation for Coherent Choice Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01044","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":"sha256:5d2f74c745714b7798621adfa49e7340591744374535e83697083b3fda31e44d","target":"record","created_at":"2026-05-18T00:14:17Z","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":"65b4bff90e85f8cf1b65b6b551ebf96af99b4288f172f6ef70ee14943af8473b","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2018-06-04T11:01:50Z","title_canon_sha256":"e140f6e3042a3365ab4c96409003c290402185a784a91d6fc76ae5637c27b5d8"},"schema_version":"1.0","source":{"id":"1806.01044","kind":"arxiv","version":1}},"canonical_sha256":"decaa1ffa6a61d572fe85b03456efe0748a18bfc76eed5b3318bb753ca15610e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"decaa1ffa6a61d572fe85b03456efe0748a18bfc76eed5b3318bb753ca15610e","first_computed_at":"2026-05-18T00:14:17.633427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:17.633427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xVvaFH/YEf4fQZEtRfHU5wBjlThmzJMI+YgiuZIQUp0XkvdPHeCWY6+Dwiz4MW03TcqPjVJZmV+2L9+ATXwCCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:17.634078Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.01044","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d2f74c745714b7798621adfa49e7340591744374535e83697083b3fda31e44d","sha256:b5c3b7e4b8768fd5f7088a484ddf0782841cc6ee80516c0c4fe6cf8f0038a48a"],"state_sha256":"d869ac0932ed3a7ccd4a3c6bd9cd489418d8caca14a0f01d5ed843115e3418d4"}