{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:JEBK333LWPLD3FOBI4GYZLG3W3","short_pith_number":"pith:JEBK333L","canonical_record":{"source":{"id":"2608.02081","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-03T11:37:56Z","cross_cats_sorted":[],"title_canon_sha256":"68b5efdfd8f789355c4e3fb8f304a475960ced8b48acf5c8f65a611943489d88","abstract_canon_sha256":"0d9a6ed2771ec66da6ba04d519f16afdcaea0f683fd66657e7f19a283ed1a43f"},"schema_version":"1.0"},"canonical_sha256":"4902adef6bb3d63d95c1470d8cacdbb6cf348ef3e5246ba0677cb9c8a9285986","source":{"kind":"arxiv","id":"2608.02081","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.02081","created_at":"2026-08-04T02:10:48Z"},{"alias_kind":"arxiv_version","alias_value":"2608.02081v1","created_at":"2026-08-04T02:10:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.02081","created_at":"2026-08-04T02:10:48Z"},{"alias_kind":"pith_short_12","alias_value":"JEBK333LWPLD","created_at":"2026-08-04T02:10:48Z"},{"alias_kind":"pith_short_16","alias_value":"JEBK333LWPLD3FOB","created_at":"2026-08-04T02:10:48Z"},{"alias_kind":"pith_short_8","alias_value":"JEBK333L","created_at":"2026-08-04T02:10:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:JEBK333LWPLD3FOBI4GYZLG3W3","target":"record","payload":{"canonical_record":{"source":{"id":"2608.02081","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-03T11:37:56Z","cross_cats_sorted":[],"title_canon_sha256":"68b5efdfd8f789355c4e3fb8f304a475960ced8b48acf5c8f65a611943489d88","abstract_canon_sha256":"0d9a6ed2771ec66da6ba04d519f16afdcaea0f683fd66657e7f19a283ed1a43f"},"schema_version":"1.0"},"canonical_sha256":"4902adef6bb3d63d95c1470d8cacdbb6cf348ef3e5246ba0677cb9c8a9285986","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T02:10:48.390152Z","signature_b64":"P5wV4XNrmoV2MhNjNWGkwoXrlLZa8HRtAjI8kS9uGL4GOc3PIDTWZy6yM5Ikv99V/gUsVqY1woU6Jst0W3DCAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4902adef6bb3d63d95c1470d8cacdbb6cf348ef3e5246ba0677cb9c8a9285986","last_reissued_at":"2026-08-04T02:10:48.388417Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T02:10:48.388417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.02081","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":"2026-08-04T02:10:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wqFq3I9qA5Q/tO2Hll4SzZxC7Ynvw0SFgbL16hr3n86QIfOC57RxZnXaFdllC04efQiwb1FWbAZ9zpdRWsxJCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T04:42:14.775837Z"},"content_sha256":"ad613a77611f5213355827dd0010b117426e465dd621df44ad5b5da69dae652c","schema_version":"1.0","event_id":"sha256:ad613a77611f5213355827dd0010b117426e465dd621df44ad5b5da69dae652c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:JEBK333LWPLD3FOBI4GYZLG3W3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isotonic Bradley-Terry Model for Paired Comparison Data","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Ryoya Yamasaki","submitted_at":"2026-08-03T11:37:56Z","abstract_excerpt":"In this paper, we study prediction problems for paired comparison data, for example, predicting the win probability between two unmatched players and ranking all the players according to the order of their strengths by using win probability data between two matched players. Paired comparison data are typically analyzed using Bradley-Terry and Thurstone-Mosteller models. These models predict the win probability by transforming the difference between learned rate parameters, which represent players'\\;strengths, with a pre-specified inverse link function, and employ the order of learned rate para"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.02081","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/2608.02081/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":"2026-08-04T02:10:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"as2KNfym0rklb/EMUSnbdddJrzFqXehuodgwGd+uQlQ1r5J2Wc2J16x3UAvjBzL2hN7zn+Lu8+eALyYf8lpSDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T04:42:14.776646Z"},"content_sha256":"1190b03772d6e5d89a28b8c479cf5a3515d0aeced713b102cd331637cbecad10","schema_version":"1.0","event_id":"sha256:1190b03772d6e5d89a28b8c479cf5a3515d0aeced713b102cd331637cbecad10"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:JEBK333LWPLD3FOBI4GYZLG3W3","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1214/aoms/1177728420) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"Brunk, H.D.: Maximum likelihood estimates of monotone parameters. The Annals of Mathematical Statistics26(4), 607–616 (1955) https://doi.org/10.1214/aoms/ 1177728420","arxiv_id":"2608.02081","detector":"doi_compliance","evidence":{"ref_index":16,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"10.1214/aoms/","reconstructed_doi":"10.1214/aoms/1177728420"},"severity":"advisory","ref_index":16,"audited_at":"2026-08-04T15:51:50.089369Z","event_type":"pith.integrity.v1","detected_doi":"10.1214/aoms/1177728420","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"048c014df94289efd4c210ec083721224a4d0c832c9707f50f36636d65aa6139","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":17896,"payload_sha256":"a68b8cf11cd5c684c39368ffdaa488a85fa4193bc7047f20f0ebd4396e657d61","signature_b64":"UyjFU8MbGyEqSYCUYWgIF+nnHjuWz8VUq5gC8hjzseB+epMqkA9PHkV89Yeq/RuRVb3JqsloqMTxAmWeV1cbDw==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-04T15:53:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BXxuAKUq0I34HzpSU+ZcQVLccfbM01NPZ4VizFSerMj6xNA8zo7YhZTB6YpmXGdRFlFlEVrVZe1Mb8hOJDT7DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T04:42:14.799539Z"},"content_sha256":"bf4f29adbe09413e945e5c90556d5127768d9a56ac4511cc3bc07bc0bd05d43e","schema_version":"1.0","event_id":"sha256:bf4f29adbe09413e945e5c90556d5127768d9a56ac4511cc3bc07bc0bd05d43e"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:JEBK333LWPLD3FOBI4GYZLG3W3","target":"integrity","payload":{"note":"DOI is split by whitespace or line breaks in the printed bibliography. Reconstructed DOI 10.1016/j.ress.2007.03.011 resolves to 'A paired comparison experiment for gathering expert judgment for an aircraft wiring risk assessment'. A reader following the printed text alone cannot reach it.","snippet":"Mazzuchi, T.A., Linzey, W.G., Bruning, A.: A paired comparison experiment for gathering expert judgment for an aircraft wiring risk assessment. Reliability Engineering & System Safety93(5), 722–731 (2008) https://doi.org/10.1016/j. ress.200","arxiv_id":"2608.02081","detector":"doi_compliance","evidence":{"ref_index":5,"verdict_class":"incontrovertible","resolved_title":"A paired comparison experiment for gathering expert judgment for an aircraft wiring risk assessment","printed_excerpt":"10.1016/j","reconstructed_doi":"10.1016/j.ress.2007.03.011"},"severity":"advisory","ref_index":5,"audited_at":"2026-08-04T15:51:50.089369Z","event_type":"pith.integrity.v1","detected_doi":"10.1016/j.ress.2007.03.011","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"08595e283e3df671d7856586c8c94638513cbd945eeb34d0cb0249d779554747","paper_version":1,"verdict_class":"incontrovertible","resolved_title":"A paired comparison experiment for gathering expert judgment for an aircraft wiring risk assessment","detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":17895,"payload_sha256":"1f1470d55a48a37d3b2f65a54b927ee55aa21954775e7e8a1e23292453fa4a47","signature_b64":"xp8dAZLsWTjeoyWHHsFbOhP9DQMEXaeqENclmp6jVuUJiv+CJjuoozyg10yXK/fOIzrk7h4WT0BR457DKGYeDQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-04T15:53:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V/rqYuVR4lpG3EQKW4/e4S0JEen5Q5V+JpSiEGn/LcQD9tseferlBg8m2HjN6jzndAr8mDJpKp1b4qrcjgD9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T04:42:14.800212Z"},"content_sha256":"1cb53890c059e225068f2c1c2441efcc56e97f761577cb0814ffdbb54cbdb4e9","schema_version":"1.0","event_id":"sha256:1cb53890c059e225068f2c1c2441efcc56e97f761577cb0814ffdbb54cbdb4e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JEBK333LWPLD3FOBI4GYZLG3W3/bundle.json","state_url":"https://pith.science/pith/JEBK333LWPLD3FOBI4GYZLG3W3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JEBK333LWPLD3FOBI4GYZLG3W3/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":"2026-08-06T04:42:14Z","links":{"resolver":"https://pith.science/pith/JEBK333LWPLD3FOBI4GYZLG3W3","bundle":"https://pith.science/pith/JEBK333LWPLD3FOBI4GYZLG3W3/bundle.json","state":"https://pith.science/pith/JEBK333LWPLD3FOBI4GYZLG3W3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JEBK333LWPLD3FOBI4GYZLG3W3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JEBK333LWPLD3FOBI4GYZLG3W3","merge_version":"pith-open-graph-merge-v1","event_count":4,"valid_event_count":4,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0d9a6ed2771ec66da6ba04d519f16afdcaea0f683fd66657e7f19a283ed1a43f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-03T11:37:56Z","title_canon_sha256":"68b5efdfd8f789355c4e3fb8f304a475960ced8b48acf5c8f65a611943489d88"},"schema_version":"1.0","source":{"id":"2608.02081","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.02081","created_at":"2026-08-04T02:10:48Z"},{"alias_kind":"arxiv_version","alias_value":"2608.02081v1","created_at":"2026-08-04T02:10:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.02081","created_at":"2026-08-04T02:10:48Z"},{"alias_kind":"pith_short_12","alias_value":"JEBK333LWPLD","created_at":"2026-08-04T02:10:48Z"},{"alias_kind":"pith_short_16","alias_value":"JEBK333LWPLD3FOB","created_at":"2026-08-04T02:10:48Z"},{"alias_kind":"pith_short_8","alias_value":"JEBK333L","created_at":"2026-08-04T02:10:48Z"}],"graph_snapshots":[{"event_id":"sha256:1190b03772d6e5d89a28b8c479cf5a3515d0aeced713b102cd331637cbecad10","target":"graph","created_at":"2026-08-04T02:10:48Z","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/2608.02081/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study prediction problems for paired comparison data, for example, predicting the win probability between two unmatched players and ranking all the players according to the order of their strengths by using win probability data between two matched players. Paired comparison data are typically analyzed using Bradley-Terry and Thurstone-Mosteller models. These models predict the win probability by transforming the difference between learned rate parameters, which represent players'\\;strengths, with a pre-specified inverse link function, and employ the order of learned rate para","authors_text":"Ryoya Yamasaki","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-03T11:37:56Z","title":"Isotonic Bradley-Terry Model for Paired Comparison Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.02081","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:ad613a77611f5213355827dd0010b117426e465dd621df44ad5b5da69dae652c","target":"record","created_at":"2026-08-04T02:10:48Z","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":"0d9a6ed2771ec66da6ba04d519f16afdcaea0f683fd66657e7f19a283ed1a43f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-03T11:37:56Z","title_canon_sha256":"68b5efdfd8f789355c4e3fb8f304a475960ced8b48acf5c8f65a611943489d88"},"schema_version":"1.0","source":{"id":"2608.02081","kind":"arxiv","version":1}},"canonical_sha256":"4902adef6bb3d63d95c1470d8cacdbb6cf348ef3e5246ba0677cb9c8a9285986","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4902adef6bb3d63d95c1470d8cacdbb6cf348ef3e5246ba0677cb9c8a9285986","first_computed_at":"2026-08-04T02:10:48.388417Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T02:10:48.388417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P5wV4XNrmoV2MhNjNWGkwoXrlLZa8HRtAjI8kS9uGL4GOc3PIDTWZy6yM5Ikv99V/gUsVqY1woU6Jst0W3DCAQ==","signature_status":"signed_v1","signed_at":"2026-08-04T02:10:48.390152Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.02081","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:1cb53890c059e225068f2c1c2441efcc56e97f761577cb0814ffdbb54cbdb4e9","sha256:bf4f29adbe09413e945e5c90556d5127768d9a56ac4511cc3bc07bc0bd05d43e"]}],"invalid_events":[],"applied_event_ids":["sha256:ad613a77611f5213355827dd0010b117426e465dd621df44ad5b5da69dae652c","sha256:1190b03772d6e5d89a28b8c479cf5a3515d0aeced713b102cd331637cbecad10"],"state_sha256":"d750eb961ba8650327a7ca5016e0030cefe3933be2c6ac59dc5f21bdce4774bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VbUK4aZrmJmtDociVS7nJyvFWz7w/kw7UO0V0OYIHRyJbsXebzOueHKRj/KY3ss6XJel2H6DnfNzXs8hiE3nAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T04:42:14.804073Z","bundle_sha256":"5cc7dd0b65846e0140cc292acb016cb1d836fbfbac5b3e7bc71e0623c13741fa"}}