{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YFSVG6BRWUME6QY7GKQILFZCHT","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":"f1a3d61568fcb96d3583196c2588f606589b6445d830a395971fe9bf50b3d72f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-11T03:54:51Z","title_canon_sha256":"d4dee4de1a82bd7f1443c7dc3f1c7f6da2e0bf3b32b941184a0063a2f72c897b"},"schema_version":"1.0","source":{"id":"2606.12868","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.12868","created_at":"2026-06-12T01:08:55Z"},{"alias_kind":"arxiv_version","alias_value":"2606.12868v1","created_at":"2026-06-12T01:08:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.12868","created_at":"2026-06-12T01:08:55Z"},{"alias_kind":"pith_short_12","alias_value":"YFSVG6BRWUME","created_at":"2026-06-12T01:08:55Z"},{"alias_kind":"pith_short_16","alias_value":"YFSVG6BRWUME6QY7","created_at":"2026-06-12T01:08:55Z"},{"alias_kind":"pith_short_8","alias_value":"YFSVG6BR","created_at":"2026-06-12T01:08:55Z"}],"graph_snapshots":[{"event_id":"sha256:4781ac6d11e2412e033f7bdd36df287177fccd6f70a6b27df765b6ef167e0df7","target":"graph","created_at":"2026-06-12T01:08:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.12868/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we propose a new approach, called maximum utility split (MUS) scheme, which is built on random utility split (RUS) scheme but with a notable difference: one lottery is designed with two fixed outcomes but with varying probability, and the other has a deterministic outcome specifically chosen at the point where the range between the largest and smallest possible utility values is maximized. Consequently, the probability of random lottery is set such that the range of the ambiguity set of utility functions is reduced by half at the point. Under moderate conditions, we show that MU","authors_text":"Bo Chen, Huifu Xu, Jia Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-11T03:54:51Z","title":"Maximum Utility Split Method for Utility Preference Elicitation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.12868","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":"sha256:172a7a764f40614c20fd9e6777617bc094a9eae6b0630ecb6b5510c962894f7c","target":"record","created_at":"2026-06-12T01:08:55Z","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":"f1a3d61568fcb96d3583196c2588f606589b6445d830a395971fe9bf50b3d72f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-11T03:54:51Z","title_canon_sha256":"d4dee4de1a82bd7f1443c7dc3f1c7f6da2e0bf3b32b941184a0063a2f72c897b"},"schema_version":"1.0","source":{"id":"2606.12868","kind":"arxiv","version":1}},"canonical_sha256":"c165537831b5184f431f32a08597223cdd4c42e5f47911486d12d8860332558d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c165537831b5184f431f32a08597223cdd4c42e5f47911486d12d8860332558d","first_computed_at":"2026-06-12T01:08:55.761676Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T01:08:55.761676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RXK1FQYfmQMQxWePKK3dOlRBRBKXYSdxzTDq6AQUZOipsp/yy5bHbzSakk0sQH2TxNxzCt8HDUgNx1GBl8eTAQ==","signature_status":"signed_v1","signed_at":"2026-06-12T01:08:55.763424Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.12868","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:172a7a764f40614c20fd9e6777617bc094a9eae6b0630ecb6b5510c962894f7c","sha256:4781ac6d11e2412e033f7bdd36df287177fccd6f70a6b27df765b6ef167e0df7"],"state_sha256":"97bc5793dbcc756731740833354eaa604060e8679a2473878672cbd884f076de"}