{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:IRJMZ6VZAHALGIQMLFV6IWJXQO","short_pith_number":"pith:IRJMZ6VZ","canonical_record":{"source":{"id":"2507.00733","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-07-01T13:31:58Z","cross_cats_sorted":[],"title_canon_sha256":"8d51fb6ea29f6282c21a14405b9c948d447409f869b9ca248dc20024393a3558","abstract_canon_sha256":"51acd7fd72a12ce149d0a826a89066d7e95e83d0c843b6eadcc039dee3eff291"},"schema_version":"1.0"},"canonical_sha256":"4452ccfab901c0b3220c596be45937838dd6d30a21e36a5862ae6f3aef7e7b04","source":{"kind":"arxiv","id":"2507.00733","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.00733","created_at":"2026-07-05T11:30:13Z"},{"alias_kind":"arxiv_version","alias_value":"2507.00733v1","created_at":"2026-07-05T11:30:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.00733","created_at":"2026-07-05T11:30:13Z"},{"alias_kind":"pith_short_12","alias_value":"IRJMZ6VZAHAL","created_at":"2026-07-05T11:30:13Z"},{"alias_kind":"pith_short_16","alias_value":"IRJMZ6VZAHALGIQM","created_at":"2026-07-05T11:30:13Z"},{"alias_kind":"pith_short_8","alias_value":"IRJMZ6VZ","created_at":"2026-07-05T11:30:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:IRJMZ6VZAHALGIQMLFV6IWJXQO","target":"record","payload":{"canonical_record":{"source":{"id":"2507.00733","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-07-01T13:31:58Z","cross_cats_sorted":[],"title_canon_sha256":"8d51fb6ea29f6282c21a14405b9c948d447409f869b9ca248dc20024393a3558","abstract_canon_sha256":"51acd7fd72a12ce149d0a826a89066d7e95e83d0c843b6eadcc039dee3eff291"},"schema_version":"1.0"},"canonical_sha256":"4452ccfab901c0b3220c596be45937838dd6d30a21e36a5862ae6f3aef7e7b04","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:30:13.631306Z","signature_b64":"z9eBstoiOaEBBqX0zyRDqtbPV4dE3XY5LOpKsG1Wg+9sA+aoygQXRq1/ltbSgmUtgChIVPLFmsJT3CP3ivQZDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4452ccfab901c0b3220c596be45937838dd6d30a21e36a5862ae6f3aef7e7b04","last_reissued_at":"2026-07-05T11:30:13.630831Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:30:13.630831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.00733","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":"2026-07-05T11:30:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5kIvan1KHNt4Mo782rVWz3y7E1aOuOekQQCeP0Qy+UqjTYXguK44Cok0OyR1SIwFw1HqV3FaJhFnjLdet4B5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T23:43:58.894553Z"},"content_sha256":"6db752ea883cbb326a9c00ae854d537f9b738c93ab42a9f8ddf30a98e77b43e7","schema_version":"1.0","event_id":"sha256:6db752ea883cbb326a9c00ae854d537f9b738c93ab42a9f8ddf30a98e77b43e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:IRJMZ6VZAHALGIQMLFV6IWJXQO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aleatoric and Epistemic Uncertainty Measures for Ordinal Classification through Binary Reduction","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Eyke H\\\"ullermeier, Stefan Haas","submitted_at":"2025-07-01T13:31:58Z","abstract_excerpt":"Ordinal classification problems, where labels exhibit a natural order, are prevalent in high-stakes fields such as medicine and finance. Accurate uncertainty quantification, including the decomposition into aleatoric (inherent variability) and epistemic (lack of knowledge) components, is crucial for reliable decision-making. However, existing research has primarily focused on nominal classification and regression. In this paper, we introduce a novel class of measures of aleatoric and epistemic uncertainty in ordinal classification, which is based on a suitable reduction to (entropy- and varian"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.00733","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/2507.00733/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":"2026-07-05T11:30:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/47RWu9+1PeVAp1xCCWxYkCv7p1Tgk9IAJYp7Dzy0esbSzwgPR48MEU6Tev0DS+0vO6/PAhMePg7CZ3jdtHHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T23:43:58.895063Z"},"content_sha256":"63491bb829cd1a39be919212ef63637be20878fbc049745b6fc361aef5e92434","schema_version":"1.0","event_id":"sha256:63491bb829cd1a39be919212ef63637be20878fbc049745b6fc361aef5e92434"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IRJMZ6VZAHALGIQMLFV6IWJXQO/bundle.json","state_url":"https://pith.science/pith/IRJMZ6VZAHALGIQMLFV6IWJXQO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IRJMZ6VZAHALGIQMLFV6IWJXQO/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":"2026-08-09T23:43:58Z","links":{"resolver":"https://pith.science/pith/IRJMZ6VZAHALGIQMLFV6IWJXQO","bundle":"https://pith.science/pith/IRJMZ6VZAHALGIQMLFV6IWJXQO/bundle.json","state":"https://pith.science/pith/IRJMZ6VZAHALGIQMLFV6IWJXQO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IRJMZ6VZAHALGIQMLFV6IWJXQO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IRJMZ6VZAHALGIQMLFV6IWJXQO","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":"51acd7fd72a12ce149d0a826a89066d7e95e83d0c843b6eadcc039dee3eff291","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-07-01T13:31:58Z","title_canon_sha256":"8d51fb6ea29f6282c21a14405b9c948d447409f869b9ca248dc20024393a3558"},"schema_version":"1.0","source":{"id":"2507.00733","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.00733","created_at":"2026-07-05T11:30:13Z"},{"alias_kind":"arxiv_version","alias_value":"2507.00733v1","created_at":"2026-07-05T11:30:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.00733","created_at":"2026-07-05T11:30:13Z"},{"alias_kind":"pith_short_12","alias_value":"IRJMZ6VZAHAL","created_at":"2026-07-05T11:30:13Z"},{"alias_kind":"pith_short_16","alias_value":"IRJMZ6VZAHALGIQM","created_at":"2026-07-05T11:30:13Z"},{"alias_kind":"pith_short_8","alias_value":"IRJMZ6VZ","created_at":"2026-07-05T11:30:13Z"}],"graph_snapshots":[{"event_id":"sha256:63491bb829cd1a39be919212ef63637be20878fbc049745b6fc361aef5e92434","target":"graph","created_at":"2026-07-05T11:30:13Z","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/2507.00733/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Ordinal classification problems, where labels exhibit a natural order, are prevalent in high-stakes fields such as medicine and finance. Accurate uncertainty quantification, including the decomposition into aleatoric (inherent variability) and epistemic (lack of knowledge) components, is crucial for reliable decision-making. However, existing research has primarily focused on nominal classification and regression. In this paper, we introduce a novel class of measures of aleatoric and epistemic uncertainty in ordinal classification, which is based on a suitable reduction to (entropy- and varian","authors_text":"Eyke H\\\"ullermeier, Stefan Haas","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-07-01T13:31:58Z","title":"Aleatoric and Epistemic Uncertainty Measures for Ordinal Classification through Binary Reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.00733","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":"sha256:6db752ea883cbb326a9c00ae854d537f9b738c93ab42a9f8ddf30a98e77b43e7","target":"record","created_at":"2026-07-05T11:30:13Z","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":"51acd7fd72a12ce149d0a826a89066d7e95e83d0c843b6eadcc039dee3eff291","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-07-01T13:31:58Z","title_canon_sha256":"8d51fb6ea29f6282c21a14405b9c948d447409f869b9ca248dc20024393a3558"},"schema_version":"1.0","source":{"id":"2507.00733","kind":"arxiv","version":1}},"canonical_sha256":"4452ccfab901c0b3220c596be45937838dd6d30a21e36a5862ae6f3aef7e7b04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4452ccfab901c0b3220c596be45937838dd6d30a21e36a5862ae6f3aef7e7b04","first_computed_at":"2026-07-05T11:30:13.630831Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:30:13.630831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z9eBstoiOaEBBqX0zyRDqtbPV4dE3XY5LOpKsG1Wg+9sA+aoygQXRq1/ltbSgmUtgChIVPLFmsJT3CP3ivQZDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:30:13.631306Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.00733","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6db752ea883cbb326a9c00ae854d537f9b738c93ab42a9f8ddf30a98e77b43e7","sha256:63491bb829cd1a39be919212ef63637be20878fbc049745b6fc361aef5e92434"],"state_sha256":"501812e75bdf7b2862d81be611f24f60e8a6e527d6d216547d45a08f0b36e9e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nNEEY9E0h1KDIe5n4UrqdKhZmPrNnvkeuBu1uvFEMuEqDTuI2oJ9RU7HnIPcCq6YmqaCF/Lpmj+50Bmtv4swAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T23:43:58.899653Z","bundle_sha256":"2cd937955a6220ec9e561e3e10c4abba365c16587179208a32913188e8646b79"}}