{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:B3YBHKNIQOQLLICQ7VKXWVWL2M","short_pith_number":"pith:B3YBHKNI","canonical_record":{"source":{"id":"1604.07711","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-04-26T15:14:49Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"146fdf10116c2b5dbc830ab09baca103e5d2e90f30c77685c0600591a39dfdfc","abstract_canon_sha256":"b74bef8ff75fba2bd0e52b8dc2177849b59f22b309ef597a82932d5eb535185e"},"schema_version":"1.0"},"canonical_sha256":"0ef013a9a883a0b5a050fd557b56cbd302257e56d83844f56400273fce357aa6","source":{"kind":"arxiv","id":"1604.07711","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07711","created_at":"2026-05-18T01:02:52Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07711v2","created_at":"2026-05-18T01:02:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07711","created_at":"2026-05-18T01:02:52Z"},{"alias_kind":"pith_short_12","alias_value":"B3YBHKNIQOQL","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B3YBHKNIQOQLLICQ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B3YBHKNI","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:B3YBHKNIQOQLLICQ7VKXWVWL2M","target":"record","payload":{"canonical_record":{"source":{"id":"1604.07711","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-04-26T15:14:49Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"146fdf10116c2b5dbc830ab09baca103e5d2e90f30c77685c0600591a39dfdfc","abstract_canon_sha256":"b74bef8ff75fba2bd0e52b8dc2177849b59f22b309ef597a82932d5eb535185e"},"schema_version":"1.0"},"canonical_sha256":"0ef013a9a883a0b5a050fd557b56cbd302257e56d83844f56400273fce357aa6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:52.182139Z","signature_b64":"pWdVvJ9XQl2nwTi+ejJrgOkk9OJ2LI/ctRWE94kPDAVNCngN7ZLpRAXNmGMzopfaK/s/v3d0//UuIBu/R7lTCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ef013a9a883a0b5a050fd557b56cbd302257e56d83844f56400273fce357aa6","last_reissued_at":"2026-05-18T01:02:52.181725Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:52.181725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.07711","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:02:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CTwNlj2eNBcoBbjjEd0bfqWgKHKf+8fwZEgXyKG0oNqRd7DJVlZTxxSfv/XCuri2x1AETTBiAscCjzq3EMkJDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:54:16.037609Z"},"content_sha256":"5b4edd12c353f248019f26a26997939c1e8aa9cf792e2b60caddd62fdf88f86e","schema_version":"1.0","event_id":"sha256:5b4edd12c353f248019f26a26997939c1e8aa9cf792e2b60caddd62fdf88f86e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:B3YBHKNIQOQLLICQ7VKXWVWL2M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Condorcet's Jury Theorem for Consensus Clustering and its Implications for Diversity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Brijnesh J. Jain","submitted_at":"2016-04-26T15:14:49Z","abstract_excerpt":"Condorcet's Jury Theorem has been invoked for ensemble classifiers to indicate that the combination of many classifiers can have better predictive performance than a single classifier. Such a theoretical underpinning is unknown for consensus clustering. This article extends Condorcet's Jury Theorem to the mean partition approach under the additional assumptions that a unique ground-truth partition exists and sample partitions are drawn from a sufficiently small ball containing the ground-truth. As an implication of practical relevance, we question the claim that the quality of consensus cluste"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07711","kind":"arxiv","version":2},"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":"2026-05-18T01:02:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iJx4t1PoTmDxHirF+SgqaenRygZYH4040xATQBPKEc9NhilstOgXNXXH3Ze7OultYJvcE5agtr9qaWEnXJVNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:54:16.038193Z"},"content_sha256":"9a107c247d9a1f713271c3d0b0e9241bfc4d6071bec8c6b84ffb44001ba12b6f","schema_version":"1.0","event_id":"sha256:9a107c247d9a1f713271c3d0b0e9241bfc4d6071bec8c6b84ffb44001ba12b6f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B3YBHKNIQOQLLICQ7VKXWVWL2M/bundle.json","state_url":"https://pith.science/pith/B3YBHKNIQOQLLICQ7VKXWVWL2M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B3YBHKNIQOQLLICQ7VKXWVWL2M/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":"2026-06-06T23:54:16Z","links":{"resolver":"https://pith.science/pith/B3YBHKNIQOQLLICQ7VKXWVWL2M","bundle":"https://pith.science/pith/B3YBHKNIQOQLLICQ7VKXWVWL2M/bundle.json","state":"https://pith.science/pith/B3YBHKNIQOQLLICQ7VKXWVWL2M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B3YBHKNIQOQLLICQ7VKXWVWL2M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:B3YBHKNIQOQLLICQ7VKXWVWL2M","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":"b74bef8ff75fba2bd0e52b8dc2177849b59f22b309ef597a82932d5eb535185e","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-04-26T15:14:49Z","title_canon_sha256":"146fdf10116c2b5dbc830ab09baca103e5d2e90f30c77685c0600591a39dfdfc"},"schema_version":"1.0","source":{"id":"1604.07711","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07711","created_at":"2026-05-18T01:02:52Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07711v2","created_at":"2026-05-18T01:02:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07711","created_at":"2026-05-18T01:02:52Z"},{"alias_kind":"pith_short_12","alias_value":"B3YBHKNIQOQL","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B3YBHKNIQOQLLICQ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B3YBHKNI","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:9a107c247d9a1f713271c3d0b0e9241bfc4d6071bec8c6b84ffb44001ba12b6f","target":"graph","created_at":"2026-05-18T01:02:52Z","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":"Condorcet's Jury Theorem has been invoked for ensemble classifiers to indicate that the combination of many classifiers can have better predictive performance than a single classifier. Such a theoretical underpinning is unknown for consensus clustering. This article extends Condorcet's Jury Theorem to the mean partition approach under the additional assumptions that a unique ground-truth partition exists and sample partitions are drawn from a sufficiently small ball containing the ground-truth. As an implication of practical relevance, we question the claim that the quality of consensus cluste","authors_text":"Brijnesh J. Jain","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-04-26T15:14:49Z","title":"Condorcet's Jury Theorem for Consensus Clustering and its Implications for Diversity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07711","kind":"arxiv","version":2},"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":"sha256:5b4edd12c353f248019f26a26997939c1e8aa9cf792e2b60caddd62fdf88f86e","target":"record","created_at":"2026-05-18T01:02:52Z","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":"b74bef8ff75fba2bd0e52b8dc2177849b59f22b309ef597a82932d5eb535185e","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-04-26T15:14:49Z","title_canon_sha256":"146fdf10116c2b5dbc830ab09baca103e5d2e90f30c77685c0600591a39dfdfc"},"schema_version":"1.0","source":{"id":"1604.07711","kind":"arxiv","version":2}},"canonical_sha256":"0ef013a9a883a0b5a050fd557b56cbd302257e56d83844f56400273fce357aa6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ef013a9a883a0b5a050fd557b56cbd302257e56d83844f56400273fce357aa6","first_computed_at":"2026-05-18T01:02:52.181725Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:52.181725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pWdVvJ9XQl2nwTi+ejJrgOkk9OJ2LI/ctRWE94kPDAVNCngN7ZLpRAXNmGMzopfaK/s/v3d0//UuIBu/R7lTCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:52.182139Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07711","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b4edd12c353f248019f26a26997939c1e8aa9cf792e2b60caddd62fdf88f86e","sha256:9a107c247d9a1f713271c3d0b0e9241bfc4d6071bec8c6b84ffb44001ba12b6f"],"state_sha256":"43425972ca438e8acd7de27ffc9fd817e15e16f9b27951832f7ffce34bf6f470"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DyHaoywsDczHLUX4yH2sYYRhgFxF3qL29STh9FPJ/d2MloChB9xPLrnkU6yaayJEQMkI2/vWnhBemSeYra8VBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T23:54:16.041778Z","bundle_sha256":"74c4f46bf3f6a4721b9ecfccf9532fd4c4e15fa0c75121e8041a898d4ab14356"}}