{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:XJU3ZMPD6WXTCR6FCF3APKKA7U","short_pith_number":"pith:XJU3ZMPD","canonical_record":{"source":{"id":"1310.4210","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-10-15T21:19:22Z","cross_cats_sorted":["cs.IT","math.IT","physics.data-an","stat.ML"],"title_canon_sha256":"4b077712341cbeae0a5af32ff3f0081aff585d09e832c9445659508894bfae44","abstract_canon_sha256":"233d681cd57afae3f001bc433568ad0754bd4e022b25f5bd95b72f97783a32f5"},"schema_version":"1.0"},"canonical_sha256":"ba69bcb1e3f5af3147c5117607a940fd32b2ea39aee527255dd35b27e740afd5","source":{"kind":"arxiv","id":"1310.4210","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4210","created_at":"2026-05-18T03:00:00Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4210v2","created_at":"2026-05-18T03:00:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4210","created_at":"2026-05-18T03:00:00Z"},{"alias_kind":"pith_short_12","alias_value":"XJU3ZMPD6WXT","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XJU3ZMPD6WXTCR6F","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XJU3ZMPD","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:XJU3ZMPD6WXTCR6FCF3APKKA7U","target":"record","payload":{"canonical_record":{"source":{"id":"1310.4210","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-10-15T21:19:22Z","cross_cats_sorted":["cs.IT","math.IT","physics.data-an","stat.ML"],"title_canon_sha256":"4b077712341cbeae0a5af32ff3f0081aff585d09e832c9445659508894bfae44","abstract_canon_sha256":"233d681cd57afae3f001bc433568ad0754bd4e022b25f5bd95b72f97783a32f5"},"schema_version":"1.0"},"canonical_sha256":"ba69bcb1e3f5af3147c5117607a940fd32b2ea39aee527255dd35b27e740afd5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:00.524580Z","signature_b64":"8UWlIhsE7uNeDdQCPM3/GQbbD1BSowoPvxcQzFXIG8Bl1M+HVWuXLHWnkwQSgkPIFhZYySQvrrCaqnbBHl+DBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba69bcb1e3f5af3147c5117607a940fd32b2ea39aee527255dd35b27e740afd5","last_reissued_at":"2026-05-18T03:00:00.523802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:00.523802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.4210","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":"2026-05-18T03:00:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZIaOcDbeOXMRmrff0ZPpPhZ51VbpzoTLppmzDqepkNI9nwjFajWYJdbDceY0y2ELVawEByXFtHwaf53U6T+4CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T10:59:04.888094Z"},"content_sha256":"206a0b410de8cfe31a50373e1e4866df1f630c6d663a2d62396a01414c57f6cd","schema_version":"1.0","event_id":"sha256:206a0b410de8cfe31a50373e1e4866df1f630c6d663a2d62396a01414c57f6cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:XJU3ZMPD6WXTCR6FCF3APKKA7U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Demystifying Information-Theoretic Clustering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT","physics.data-an","stat.ML"],"primary_cat":"cs.LG","authors_text":"Aram Galstyan, Fei Sha, Greg Ver Steeg, Simon DeDeo","submitted_at":"2013-10-15T21:19:22Z","abstract_excerpt":"We propose a novel method for clustering data which is grounded in information-theoretic principles and requires no parametric assumptions. Previous attempts to use information theory to define clusters in an assumption-free way are based on maximizing mutual information between data and cluster labels. We demonstrate that this intuition suffers from a fundamental conceptual flaw that causes clustering performance to deteriorate as the amount of data increases. Instead, we return to the axiomatic foundations of information theory to define a meaningful clustering measure based on the notion of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4210","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":"2026-05-18T03:00:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"daH3y3t01t4glNt0uCxJZcDWsjdLf83qq3YZhOpbE32fmdSFyK2zfcwybEKjTyBpOAbS0gVqULU6LH9SVQOkAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T10:59:04.888454Z"},"content_sha256":"3b0b000a742087c40ae411ef3234ec10f1142c56a32e950d1db942a875c68773","schema_version":"1.0","event_id":"sha256:3b0b000a742087c40ae411ef3234ec10f1142c56a32e950d1db942a875c68773"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XJU3ZMPD6WXTCR6FCF3APKKA7U/bundle.json","state_url":"https://pith.science/pith/XJU3ZMPD6WXTCR6FCF3APKKA7U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XJU3ZMPD6WXTCR6FCF3APKKA7U/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":"2026-07-02T10:59:04Z","links":{"resolver":"https://pith.science/pith/XJU3ZMPD6WXTCR6FCF3APKKA7U","bundle":"https://pith.science/pith/XJU3ZMPD6WXTCR6FCF3APKKA7U/bundle.json","state":"https://pith.science/pith/XJU3ZMPD6WXTCR6FCF3APKKA7U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XJU3ZMPD6WXTCR6FCF3APKKA7U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XJU3ZMPD6WXTCR6FCF3APKKA7U","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":"233d681cd57afae3f001bc433568ad0754bd4e022b25f5bd95b72f97783a32f5","cross_cats_sorted":["cs.IT","math.IT","physics.data-an","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-10-15T21:19:22Z","title_canon_sha256":"4b077712341cbeae0a5af32ff3f0081aff585d09e832c9445659508894bfae44"},"schema_version":"1.0","source":{"id":"1310.4210","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4210","created_at":"2026-05-18T03:00:00Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4210v2","created_at":"2026-05-18T03:00:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4210","created_at":"2026-05-18T03:00:00Z"},{"alias_kind":"pith_short_12","alias_value":"XJU3ZMPD6WXT","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XJU3ZMPD6WXTCR6F","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XJU3ZMPD","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:3b0b000a742087c40ae411ef3234ec10f1142c56a32e950d1db942a875c68773","target":"graph","created_at":"2026-05-18T03:00:00Z","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":"We propose a novel method for clustering data which is grounded in information-theoretic principles and requires no parametric assumptions. Previous attempts to use information theory to define clusters in an assumption-free way are based on maximizing mutual information between data and cluster labels. We demonstrate that this intuition suffers from a fundamental conceptual flaw that causes clustering performance to deteriorate as the amount of data increases. Instead, we return to the axiomatic foundations of information theory to define a meaningful clustering measure based on the notion of","authors_text":"Aram Galstyan, Fei Sha, Greg Ver Steeg, Simon DeDeo","cross_cats":["cs.IT","math.IT","physics.data-an","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-10-15T21:19:22Z","title":"Demystifying Information-Theoretic Clustering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4210","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":"sha256:206a0b410de8cfe31a50373e1e4866df1f630c6d663a2d62396a01414c57f6cd","target":"record","created_at":"2026-05-18T03:00:00Z","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":"233d681cd57afae3f001bc433568ad0754bd4e022b25f5bd95b72f97783a32f5","cross_cats_sorted":["cs.IT","math.IT","physics.data-an","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-10-15T21:19:22Z","title_canon_sha256":"4b077712341cbeae0a5af32ff3f0081aff585d09e832c9445659508894bfae44"},"schema_version":"1.0","source":{"id":"1310.4210","kind":"arxiv","version":2}},"canonical_sha256":"ba69bcb1e3f5af3147c5117607a940fd32b2ea39aee527255dd35b27e740afd5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba69bcb1e3f5af3147c5117607a940fd32b2ea39aee527255dd35b27e740afd5","first_computed_at":"2026-05-18T03:00:00.523802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:00.523802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8UWlIhsE7uNeDdQCPM3/GQbbD1BSowoPvxcQzFXIG8Bl1M+HVWuXLHWnkwQSgkPIFhZYySQvrrCaqnbBHl+DBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:00.524580Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4210","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:206a0b410de8cfe31a50373e1e4866df1f630c6d663a2d62396a01414c57f6cd","sha256:3b0b000a742087c40ae411ef3234ec10f1142c56a32e950d1db942a875c68773"],"state_sha256":"74419ee7a53e01b82bc31992e40a23f753bcdb00a13448b1346330448eb06e41"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xISrPxRoNwbK13G7iXP56vHfCm7ZTyJOda73i5TRqfjdDkQJoL2QJQ+5MD9qH6eokqwepNsKiPG5TzzeTnkICA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T10:59:04.890445Z","bundle_sha256":"e90af6e2f8f4d4210e9eb8b57f0eed4ba4f948507da4a8df6466cc0f8b23f156"}}