{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:G7EOAE6USDTVXADQKTMO2CZRO3","short_pith_number":"pith:G7EOAE6U","canonical_record":{"source":{"id":"2606.12646","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2026-06-10T20:16:21Z","cross_cats_sorted":["cs.IT","cs.LG","math.IT"],"title_canon_sha256":"c5d1cd7dd215413222bba1a8b83c1df4afa2de94dc20fb7c871330b55c9fec24","abstract_canon_sha256":"7b2c59ff9a41267aa2fb608262b9f4f121494b096bd8772c94f1b8183ed241a2"},"schema_version":"1.0"},"canonical_sha256":"37c8e013d490e75b807054d8ed0b3176c99a25c1cfe4e769b28dad170f9cda72","source":{"kind":"arxiv","id":"2606.12646","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.12646","created_at":"2026-06-12T01:08:42Z"},{"alias_kind":"arxiv_version","alias_value":"2606.12646v1","created_at":"2026-06-12T01:08:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.12646","created_at":"2026-06-12T01:08:42Z"},{"alias_kind":"pith_short_12","alias_value":"G7EOAE6USDTV","created_at":"2026-06-12T01:08:42Z"},{"alias_kind":"pith_short_16","alias_value":"G7EOAE6USDTVXADQ","created_at":"2026-06-12T01:08:42Z"},{"alias_kind":"pith_short_8","alias_value":"G7EOAE6U","created_at":"2026-06-12T01:08:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:G7EOAE6USDTVXADQKTMO2CZRO3","target":"record","payload":{"canonical_record":{"source":{"id":"2606.12646","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2026-06-10T20:16:21Z","cross_cats_sorted":["cs.IT","cs.LG","math.IT"],"title_canon_sha256":"c5d1cd7dd215413222bba1a8b83c1df4afa2de94dc20fb7c871330b55c9fec24","abstract_canon_sha256":"7b2c59ff9a41267aa2fb608262b9f4f121494b096bd8772c94f1b8183ed241a2"},"schema_version":"1.0"},"canonical_sha256":"37c8e013d490e75b807054d8ed0b3176c99a25c1cfe4e769b28dad170f9cda72","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T01:08:42.449031Z","signature_b64":"rglUdokNyeZ7/LOX+puHNktcSESLJdbs+pQ7uNdkPo4idOsPpF6XuC1u7VkJZWkNQIDqfTtDqYY7RygOv6HJAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37c8e013d490e75b807054d8ed0b3176c99a25c1cfe4e769b28dad170f9cda72","last_reissued_at":"2026-06-12T01:08:42.448032Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T01:08:42.448032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.12646","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":"2026-06-12T01:08:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mo2Pwst6m5keCj/N2mv0qiB1vOi2/XNLcVBO/MwRXnOeKUYETdIG1D1K/VqG3RNBqvKB0YLl77Z0u9ToSFdcBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T10:28:27.138464Z"},"content_sha256":"d7f679637023323380cc594796381fb62dce07c92bfd858004e50369247cdaa7","schema_version":"1.0","event_id":"sha256:d7f679637023323380cc594796381fb62dce07c92bfd858004e50369247cdaa7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:G7EOAE6USDTVXADQKTMO2CZRO3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Epistemic Uncertainty Is Not the Reducible Kind","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","cs.LG","math.IT"],"primary_cat":"stat.ML","authors_text":"Robin Young","submitted_at":"2026-06-10T20:16:21Z","abstract_excerpt":"The standard taxonomy of predictive uncertainty defines epistemic uncertainty as the part removable by collecting more data, while the standard measure identifies it with a mutual-information term. We prove the definition and the measure are extensionally inconsistent. On an explicit construction, the measure assigns all uncertainty to the epistemic class, yet no quantity of training data reduces it. Reducibility is instead a property of the pair (uncertainty, acquisition class), and the dichotomy resolves into three parts: aleatoric, sample-reducible epistemic, and mechanism-reducible epistem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.12646","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/2606.12646/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":"2026-06-12T01:08:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qv5OPSOvn43JaenprbAsRHAFakxaKxA3YmieKA31BPe8M7jsUhdweez9HQSBIltvBYNuQl7Qq2RwPOPcW9WUCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T10:28:27.138841Z"},"content_sha256":"cc98e90c0b9f89c38e0eb08ff317521853140267b4a15b4e48dc2f9b45b8365b","schema_version":"1.0","event_id":"sha256:cc98e90c0b9f89c38e0eb08ff317521853140267b4a15b4e48dc2f9b45b8365b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G7EOAE6USDTVXADQKTMO2CZRO3/bundle.json","state_url":"https://pith.science/pith/G7EOAE6USDTVXADQKTMO2CZRO3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G7EOAE6USDTVXADQKTMO2CZRO3/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":"2026-06-29T10:28:27Z","links":{"resolver":"https://pith.science/pith/G7EOAE6USDTVXADQKTMO2CZRO3","bundle":"https://pith.science/pith/G7EOAE6USDTVXADQKTMO2CZRO3/bundle.json","state":"https://pith.science/pith/G7EOAE6USDTVXADQKTMO2CZRO3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G7EOAE6USDTVXADQKTMO2CZRO3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:G7EOAE6USDTVXADQKTMO2CZRO3","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":"7b2c59ff9a41267aa2fb608262b9f4f121494b096bd8772c94f1b8183ed241a2","cross_cats_sorted":["cs.IT","cs.LG","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2026-06-10T20:16:21Z","title_canon_sha256":"c5d1cd7dd215413222bba1a8b83c1df4afa2de94dc20fb7c871330b55c9fec24"},"schema_version":"1.0","source":{"id":"2606.12646","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.12646","created_at":"2026-06-12T01:08:42Z"},{"alias_kind":"arxiv_version","alias_value":"2606.12646v1","created_at":"2026-06-12T01:08:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.12646","created_at":"2026-06-12T01:08:42Z"},{"alias_kind":"pith_short_12","alias_value":"G7EOAE6USDTV","created_at":"2026-06-12T01:08:42Z"},{"alias_kind":"pith_short_16","alias_value":"G7EOAE6USDTVXADQ","created_at":"2026-06-12T01:08:42Z"},{"alias_kind":"pith_short_8","alias_value":"G7EOAE6U","created_at":"2026-06-12T01:08:42Z"}],"graph_snapshots":[{"event_id":"sha256:cc98e90c0b9f89c38e0eb08ff317521853140267b4a15b4e48dc2f9b45b8365b","target":"graph","created_at":"2026-06-12T01:08:42Z","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/2606.12646/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The standard taxonomy of predictive uncertainty defines epistemic uncertainty as the part removable by collecting more data, while the standard measure identifies it with a mutual-information term. We prove the definition and the measure are extensionally inconsistent. On an explicit construction, the measure assigns all uncertainty to the epistemic class, yet no quantity of training data reduces it. Reducibility is instead a property of the pair (uncertainty, acquisition class), and the dichotomy resolves into three parts: aleatoric, sample-reducible epistemic, and mechanism-reducible epistem","authors_text":"Robin Young","cross_cats":["cs.IT","cs.LG","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2026-06-10T20:16:21Z","title":"Epistemic Uncertainty Is Not the Reducible Kind"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.12646","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:d7f679637023323380cc594796381fb62dce07c92bfd858004e50369247cdaa7","target":"record","created_at":"2026-06-12T01:08:42Z","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":"7b2c59ff9a41267aa2fb608262b9f4f121494b096bd8772c94f1b8183ed241a2","cross_cats_sorted":["cs.IT","cs.LG","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2026-06-10T20:16:21Z","title_canon_sha256":"c5d1cd7dd215413222bba1a8b83c1df4afa2de94dc20fb7c871330b55c9fec24"},"schema_version":"1.0","source":{"id":"2606.12646","kind":"arxiv","version":1}},"canonical_sha256":"37c8e013d490e75b807054d8ed0b3176c99a25c1cfe4e769b28dad170f9cda72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37c8e013d490e75b807054d8ed0b3176c99a25c1cfe4e769b28dad170f9cda72","first_computed_at":"2026-06-12T01:08:42.448032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T01:08:42.448032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rglUdokNyeZ7/LOX+puHNktcSESLJdbs+pQ7uNdkPo4idOsPpF6XuC1u7VkJZWkNQIDqfTtDqYY7RygOv6HJAw==","signature_status":"signed_v1","signed_at":"2026-06-12T01:08:42.449031Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.12646","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7f679637023323380cc594796381fb62dce07c92bfd858004e50369247cdaa7","sha256:cc98e90c0b9f89c38e0eb08ff317521853140267b4a15b4e48dc2f9b45b8365b"],"state_sha256":"6270e32fef7182df5c991c9b2a2afec5419d694159bb65a72777af8dc88b3510"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F2dtHSao3St2WCBbEMt1cJ6xL/JyjpMkXn2Lea5owGXKHHlnKhOmE4pDdIS/jiCwlJkK6+PPmTTTEMI7oJUMBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T10:28:27.140887Z","bundle_sha256":"131314b3ab36ece5503160e7ab7f3f0af21e9be7e763abdd7c310abac57fad8b"}}