{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:KA6HI7LECR4TRKK3KAD7UWCTMA","short_pith_number":"pith:KA6HI7LE","canonical_record":{"source":{"id":"2105.03275","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2021-05-07T14:03:23Z","cross_cats_sorted":[],"title_canon_sha256":"6b6586805a851bd02fec6aad343848c830f8b9ecc748bce21a635bca54c00658","abstract_canon_sha256":"2b750134043331e98ae62105e8b4809c966283eff76047b89092461384764abc"},"schema_version":"1.0"},"canonical_sha256":"503c747d64147938a95b5007fa5853600df52fee2b33d886ce2ec8a441256e84","source":{"kind":"arxiv","id":"2105.03275","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.03275","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"arxiv_version","alias_value":"2105.03275v3","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.03275","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"pith_short_12","alias_value":"KA6HI7LECR4T","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"pith_short_16","alias_value":"KA6HI7LECR4TRKK3","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"pith_short_8","alias_value":"KA6HI7LE","created_at":"2026-07-05T03:37:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:KA6HI7LECR4TRKK3KAD7UWCTMA","target":"record","payload":{"canonical_record":{"source":{"id":"2105.03275","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2021-05-07T14:03:23Z","cross_cats_sorted":[],"title_canon_sha256":"6b6586805a851bd02fec6aad343848c830f8b9ecc748bce21a635bca54c00658","abstract_canon_sha256":"2b750134043331e98ae62105e8b4809c966283eff76047b89092461384764abc"},"schema_version":"1.0"},"canonical_sha256":"503c747d64147938a95b5007fa5853600df52fee2b33d886ce2ec8a441256e84","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:37:42.559193Z","signature_b64":"51pzildqLMKcZj67zOzSIxqD2r2oK3HC4nma0LG0Rdvl9dTYJtHuH/52cLjnQYAgp03k4tGPS+U/HCrFNhZLAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"503c747d64147938a95b5007fa5853600df52fee2b33d886ce2ec8a441256e84","last_reissued_at":"2026-07-05T03:37:42.558734Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:37:42.558734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.03275","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:37:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zu55DYXeIe63xP7ruO1c7DN6dW+4Kw7pyl+A0R0hj0P4cQ5rbW4gtJk+Ph6uRGyFTIzFAoZ11TWIzIhdAY6aCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T17:24:52.999863Z"},"content_sha256":"907a11b8f04fd781f4c11c12e877974ef7073b11bf240cb63d3c9e5a281e8876","schema_version":"1.0","event_id":"sha256:907a11b8f04fd781f4c11c12e877974ef7073b11bf240cb63d3c9e5a281e8876"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:KA6HI7LECR4TRKK3KAD7UWCTMA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Multinomial Probit Model with Choquet Integral and Attribute Cut-offs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Oded Cats, Prateek Bansal, Serge Hoogendoorn, Subodh Dubey","submitted_at":"2021-05-07T14:03:23Z","abstract_excerpt":"Several non-linear functions and machine learning methods have been developed for flexible specification of the systematic utility in discrete choice models. However, they lack interpretability, do not ensure monotonicity conditions, and restrict substitution patterns. We address the first two challenges by modelling the systematic utility using the Choquet Integral (CI) function and the last one by embedding CI into the multinomial probit (MNP) choice probability kernel. We also extend the MNP-CI model to account for attribute cut-offs that enable a modeller to approximately mimic the semi-co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.03275","kind":"arxiv","version":3},"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/2105.03275/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:37:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W6/mHqC3xZ/GuMxhjQf8INIDpck/V0ehy7cGjWz8FDQ/mLzwhuqWPAWf5eS3eLXCFZCbMoezvuTgTHSBGldmBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T17:24:53.000751Z"},"content_sha256":"a78cd02572a752717bdae952a6e63d9a331327626915aec281f0080e21ac1281","schema_version":"1.0","event_id":"sha256:a78cd02572a752717bdae952a6e63d9a331327626915aec281f0080e21ac1281"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KA6HI7LECR4TRKK3KAD7UWCTMA/bundle.json","state_url":"https://pith.science/pith/KA6HI7LECR4TRKK3KAD7UWCTMA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KA6HI7LECR4TRKK3KAD7UWCTMA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-06T17:24:53Z","links":{"resolver":"https://pith.science/pith/KA6HI7LECR4TRKK3KAD7UWCTMA","bundle":"https://pith.science/pith/KA6HI7LECR4TRKK3KAD7UWCTMA/bundle.json","state":"https://pith.science/pith/KA6HI7LECR4TRKK3KAD7UWCTMA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KA6HI7LECR4TRKK3KAD7UWCTMA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:KA6HI7LECR4TRKK3KAD7UWCTMA","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":"2b750134043331e98ae62105e8b4809c966283eff76047b89092461384764abc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2021-05-07T14:03:23Z","title_canon_sha256":"6b6586805a851bd02fec6aad343848c830f8b9ecc748bce21a635bca54c00658"},"schema_version":"1.0","source":{"id":"2105.03275","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.03275","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"arxiv_version","alias_value":"2105.03275v3","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.03275","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"pith_short_12","alias_value":"KA6HI7LECR4T","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"pith_short_16","alias_value":"KA6HI7LECR4TRKK3","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"pith_short_8","alias_value":"KA6HI7LE","created_at":"2026-07-05T03:37:42Z"}],"graph_snapshots":[{"event_id":"sha256:a78cd02572a752717bdae952a6e63d9a331327626915aec281f0080e21ac1281","target":"graph","created_at":"2026-07-05T03:37:42Z","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/2105.03275/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Several non-linear functions and machine learning methods have been developed for flexible specification of the systematic utility in discrete choice models. However, they lack interpretability, do not ensure monotonicity conditions, and restrict substitution patterns. We address the first two challenges by modelling the systematic utility using the Choquet Integral (CI) function and the last one by embedding CI into the multinomial probit (MNP) choice probability kernel. We also extend the MNP-CI model to account for attribute cut-offs that enable a modeller to approximately mimic the semi-co","authors_text":"Oded Cats, Prateek Bansal, Serge Hoogendoorn, Subodh Dubey","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2021-05-07T14:03:23Z","title":"A Multinomial Probit Model with Choquet Integral and Attribute Cut-offs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.03275","kind":"arxiv","version":3},"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":"sha256:907a11b8f04fd781f4c11c12e877974ef7073b11bf240cb63d3c9e5a281e8876","target":"record","created_at":"2026-07-05T03:37:42Z","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":"2b750134043331e98ae62105e8b4809c966283eff76047b89092461384764abc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2021-05-07T14:03:23Z","title_canon_sha256":"6b6586805a851bd02fec6aad343848c830f8b9ecc748bce21a635bca54c00658"},"schema_version":"1.0","source":{"id":"2105.03275","kind":"arxiv","version":3}},"canonical_sha256":"503c747d64147938a95b5007fa5853600df52fee2b33d886ce2ec8a441256e84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"503c747d64147938a95b5007fa5853600df52fee2b33d886ce2ec8a441256e84","first_computed_at":"2026-07-05T03:37:42.558734Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:37:42.558734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"51pzildqLMKcZj67zOzSIxqD2r2oK3HC4nma0LG0Rdvl9dTYJtHuH/52cLjnQYAgp03k4tGPS+U/HCrFNhZLAA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:37:42.559193Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.03275","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:907a11b8f04fd781f4c11c12e877974ef7073b11bf240cb63d3c9e5a281e8876","sha256:a78cd02572a752717bdae952a6e63d9a331327626915aec281f0080e21ac1281"],"state_sha256":"d6382cbea80e8fa1c838ee352c68715a28f1e0c2eb7fd83955b137c3eafec562"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2D2Ke9gHps4MXwH6n2YpGbs7pjYJsB6LwzHOgfLqy4A3n8t2clEOLFi9lzcQV2XqPJnqqgZXhdNMUHAoJZepDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T17:24:53.009013Z","bundle_sha256":"33d5b436b2e5937b0c688366ef48bce57e28da922ba621bfb1fbbe981fd4b021"}}