{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:PSHOF4PRZT4RIT476RGMX3L2AZ","short_pith_number":"pith:PSHOF4PR","schema_version":"1.0","canonical_sha256":"7c8ee2f1f1ccf9144f9ff44ccbed7a0649b5e4ed01c9a2ce460961da43d17702","source":{"kind":"arxiv","id":"2607.08218","version":1},"attestation_state":"computed","paper":{"title":"Random Utility Model with Endogenously Assigned Menus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"econ.TH","authors_text":"Kai Wang","submitted_at":"2026-07-09T08:13:51Z","abstract_excerpt":"There is a largely overlooked assumption underlying stochastic choice theory: menus are assigned exogenously, as if by a hidden randomized controlled trial. This assumption is not innocuous, because in many real-world settings menus are assigned endogenously according to the decision makers' preferences. This paper studies Random Utility Model under menu endogeneity and shows that any seemingly anomalous choice behavior can be generated by a population of rational decision makers with heterogeneous preferences facing endogenously assigned menus. To address this problem, I propose a new causal "},"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":"2607.08218","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2026-07-09T08:13:51Z","cross_cats_sorted":[],"title_canon_sha256":"273dd63dffa5b6a3e0b6fe14c63752ede3038dd0b247f8ba88a03ab93c71e9eb","abstract_canon_sha256":"4dcdd55809879bca828fa0069bc12d2966525a6c60c3fdb1aafe41ffaaa77c1b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-10T01:19:29.962140Z","signature_b64":"HmLOhdf8G66vUl1oTG6+uJ6H8l180/ICjso2Xe236OipDZVvbhCwucPuFTRHRBbdN6UFLHd4a9oz1qWfGU5BBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c8ee2f1f1ccf9144f9ff44ccbed7a0649b5e4ed01c9a2ce460961da43d17702","last_reissued_at":"2026-07-10T01:19:29.961796Z","signature_status":"signed_v1","first_computed_at":"2026-07-10T01:19:29.961796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Random Utility Model with Endogenously Assigned Menus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"econ.TH","authors_text":"Kai Wang","submitted_at":"2026-07-09T08:13:51Z","abstract_excerpt":"There is a largely overlooked assumption underlying stochastic choice theory: menus are assigned exogenously, as if by a hidden randomized controlled trial. This assumption is not innocuous, because in many real-world settings menus are assigned endogenously according to the decision makers' preferences. This paper studies Random Utility Model under menu endogeneity and shows that any seemingly anomalous choice behavior can be generated by a population of rational decision makers with heterogeneous preferences facing endogenously assigned menus. To address this problem, I propose a new causal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.08218","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.08218/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.08218","created_at":"2026-07-10T01:19:29.961853+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.08218v1","created_at":"2026-07-10T01:19:29.961853+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.08218","created_at":"2026-07-10T01:19:29.961853+00:00"},{"alias_kind":"pith_short_12","alias_value":"PSHOF4PRZT4R","created_at":"2026-07-10T01:19:29.961853+00:00"},{"alias_kind":"pith_short_16","alias_value":"PSHOF4PRZT4RIT47","created_at":"2026-07-10T01:19:29.961853+00:00"},{"alias_kind":"pith_short_8","alias_value":"PSHOF4PR","created_at":"2026-07-10T01:19:29.961853+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/PSHOF4PRZT4RIT476RGMX3L2AZ","json":"https://pith.science/pith/PSHOF4PRZT4RIT476RGMX3L2AZ.json","graph_json":"https://pith.science/api/pith-number/PSHOF4PRZT4RIT476RGMX3L2AZ/graph.json","events_json":"https://pith.science/api/pith-number/PSHOF4PRZT4RIT476RGMX3L2AZ/events.json","paper":"https://pith.science/paper/PSHOF4PR"},"agent_actions":{"view_html":"https://pith.science/pith/PSHOF4PRZT4RIT476RGMX3L2AZ","download_json":"https://pith.science/pith/PSHOF4PRZT4RIT476RGMX3L2AZ.json","view_paper":"https://pith.science/paper/PSHOF4PR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.08218&json=true","fetch_graph":"https://pith.science/api/pith-number/PSHOF4PRZT4RIT476RGMX3L2AZ/graph.json","fetch_events":"https://pith.science/api/pith-number/PSHOF4PRZT4RIT476RGMX3L2AZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PSHOF4PRZT4RIT476RGMX3L2AZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PSHOF4PRZT4RIT476RGMX3L2AZ/action/storage_attestation","attest_author":"https://pith.science/pith/PSHOF4PRZT4RIT476RGMX3L2AZ/action/author_attestation","sign_citation":"https://pith.science/pith/PSHOF4PRZT4RIT476RGMX3L2AZ/action/citation_signature","submit_replication":"https://pith.science/pith/PSHOF4PRZT4RIT476RGMX3L2AZ/action/replication_record"}},"created_at":"2026-07-10T01:19:29.961853+00:00","updated_at":"2026-07-10T01:19:29.961853+00:00"}