{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZHGTQCCLU4PWWOOACBO45ZUA6Y","short_pith_number":"pith:ZHGTQCCL","canonical_record":{"source":{"id":"1804.08715","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-23T20:17:00Z","cross_cats_sorted":[],"title_canon_sha256":"9abb85766f523d51c226c420642f2a261b0b475b4e901be43daf16beb1bb35ad","abstract_canon_sha256":"fe7172c451be587dc37e84b42e2f70c332a6b87ed407944067b1c788cd792f13"},"schema_version":"1.0"},"canonical_sha256":"c9cd38084ba71f6b39c0105dcee680f6144deaf958efb6720d68988d2e839778","source":{"kind":"arxiv","id":"1804.08715","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08715","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08715v1","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08715","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"pith_short_12","alias_value":"ZHGTQCCLU4PW","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZHGTQCCLU4PWWOOA","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZHGTQCCL","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZHGTQCCLU4PWWOOACBO45ZUA6Y","target":"record","payload":{"canonical_record":{"source":{"id":"1804.08715","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-23T20:17:00Z","cross_cats_sorted":[],"title_canon_sha256":"9abb85766f523d51c226c420642f2a261b0b475b4e901be43daf16beb1bb35ad","abstract_canon_sha256":"fe7172c451be587dc37e84b42e2f70c332a6b87ed407944067b1c788cd792f13"},"schema_version":"1.0"},"canonical_sha256":"c9cd38084ba71f6b39c0105dcee680f6144deaf958efb6720d68988d2e839778","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:46.855420Z","signature_b64":"nfHENZtC7vCDv9IuBGWM0ajMaxnM3ysCjiLkd86Bs6i2WPhDE2CM3tQ8GZANpr2IhAseWYnklv0ak3L332MQAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9cd38084ba71f6b39c0105dcee680f6144deaf958efb6720d68988d2e839778","last_reissued_at":"2026-05-18T00:17:46.854801Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:46.854801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.08715","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:17:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Cclq6WgkQhjiLDUS4bQbsTZIL7A5doGTB5N0o7L4aHcqHP8CBBMM7RZSyFPMZxAzXhp/CMV627ixt78TkqaDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T18:08:42.607253Z"},"content_sha256":"4512ef01121560973ea29ff7b1d063d4ad9dfe363059f8637c529bd145c29fe4","schema_version":"1.0","event_id":"sha256:4512ef01121560973ea29ff7b1d063d4ad9dfe363059f8637c529bd145c29fe4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZHGTQCCLU4PWWOOACBO45ZUA6Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A constrained regression model for an ordinal response with ordinal predictors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Christian Hennig, Javier Espinosa","submitted_at":"2018-04-23T20:17:00Z","abstract_excerpt":"A regression model is proposed for the analysis of an ordinal response variable depending on a set of multiple covariates containing ordinal and potentially other variables. The proportional odds model (McCullagh (1980)) is used for the ordinal response, and constrained maximum likelihood estimation is used to account for the ordinality of covariates.\n  Ordinal predictors are coded by dummy variables. The parameters associated to the categories of the ordinal predictor(s) are constrained, enforcing them to be monotonic (isotonic or antitonic). A decision rule is introduced for classifying the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08715","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:17:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pVjV0UtWhzoUpGI6eNkYD4XloNDdp4IvTvvQ1sYtfChIRXcOf4GlwCSjcU/RGolqUIpKe2ZU9gJCeXQKckchBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T18:08:42.607618Z"},"content_sha256":"d229e0c8915a90cd9f2d1e6917f610dc55e586382bda50b0ea22204bb4264264","schema_version":"1.0","event_id":"sha256:d229e0c8915a90cd9f2d1e6917f610dc55e586382bda50b0ea22204bb4264264"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZHGTQCCLU4PWWOOACBO45ZUA6Y/bundle.json","state_url":"https://pith.science/pith/ZHGTQCCLU4PWWOOACBO45ZUA6Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZHGTQCCLU4PWWOOACBO45ZUA6Y/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":"2026-07-06T18:08:42Z","links":{"resolver":"https://pith.science/pith/ZHGTQCCLU4PWWOOACBO45ZUA6Y","bundle":"https://pith.science/pith/ZHGTQCCLU4PWWOOACBO45ZUA6Y/bundle.json","state":"https://pith.science/pith/ZHGTQCCLU4PWWOOACBO45ZUA6Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZHGTQCCLU4PWWOOACBO45ZUA6Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZHGTQCCLU4PWWOOACBO45ZUA6Y","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":"fe7172c451be587dc37e84b42e2f70c332a6b87ed407944067b1c788cd792f13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-23T20:17:00Z","title_canon_sha256":"9abb85766f523d51c226c420642f2a261b0b475b4e901be43daf16beb1bb35ad"},"schema_version":"1.0","source":{"id":"1804.08715","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08715","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08715v1","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08715","created_at":"2026-05-18T00:17:46Z"},{"alias_kind":"pith_short_12","alias_value":"ZHGTQCCLU4PW","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZHGTQCCLU4PWWOOA","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZHGTQCCL","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:d229e0c8915a90cd9f2d1e6917f610dc55e586382bda50b0ea22204bb4264264","target":"graph","created_at":"2026-05-18T00:17:46Z","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":"A regression model is proposed for the analysis of an ordinal response variable depending on a set of multiple covariates containing ordinal and potentially other variables. The proportional odds model (McCullagh (1980)) is used for the ordinal response, and constrained maximum likelihood estimation is used to account for the ordinality of covariates.\n  Ordinal predictors are coded by dummy variables. The parameters associated to the categories of the ordinal predictor(s) are constrained, enforcing them to be monotonic (isotonic or antitonic). A decision rule is introduced for classifying the ","authors_text":"Christian Hennig, Javier Espinosa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-23T20:17:00Z","title":"A constrained regression model for an ordinal response with ordinal predictors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08715","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":"sha256:4512ef01121560973ea29ff7b1d063d4ad9dfe363059f8637c529bd145c29fe4","target":"record","created_at":"2026-05-18T00:17:46Z","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":"fe7172c451be587dc37e84b42e2f70c332a6b87ed407944067b1c788cd792f13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-23T20:17:00Z","title_canon_sha256":"9abb85766f523d51c226c420642f2a261b0b475b4e901be43daf16beb1bb35ad"},"schema_version":"1.0","source":{"id":"1804.08715","kind":"arxiv","version":1}},"canonical_sha256":"c9cd38084ba71f6b39c0105dcee680f6144deaf958efb6720d68988d2e839778","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9cd38084ba71f6b39c0105dcee680f6144deaf958efb6720d68988d2e839778","first_computed_at":"2026-05-18T00:17:46.854801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:46.854801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nfHENZtC7vCDv9IuBGWM0ajMaxnM3ysCjiLkd86Bs6i2WPhDE2CM3tQ8GZANpr2IhAseWYnklv0ak3L332MQAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:46.855420Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.08715","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4512ef01121560973ea29ff7b1d063d4ad9dfe363059f8637c529bd145c29fe4","sha256:d229e0c8915a90cd9f2d1e6917f610dc55e586382bda50b0ea22204bb4264264"],"state_sha256":"0109af3799c38cfb3f79a8485abd5942cb6774c8e93d635f8e7b621d3c78a5ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rl2nhqjmPzYWaB3rs3O6y0EtE/QAZO5Uef+Lo++DsXjeE3RHXpmC5P/TZf+A+gd2VrKitq/VPlphGWRuxcUrDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T18:08:42.609675Z","bundle_sha256":"8db398992c3f7282b64eca794aaa00540379ebcf5e1a0e810e5fb1a3289490b6"}}