{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KW4F7OA673OTGZ7THGCDOTN3AC","short_pith_number":"pith:KW4F7OA6","canonical_record":{"source":{"id":"1301.2270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-01-10T16:23:36Z","cross_cats_sorted":["cs.AI","stat.ML"],"title_canon_sha256":"a15287bf7b4f0aeaea1fc0ef5778980f17adfd95f514af37cf021bc0d9b89be3","abstract_canon_sha256":"68288d436271456e9289ee95b507f108305bc02ade7a556dd045dfde12794e40"},"schema_version":"1.0"},"canonical_sha256":"55b85fb81efedd3367f33984374dbb00b6aa592da414403e7b0e938fbd3469e2","source":{"kind":"arxiv","id":"1301.2270","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.2270","created_at":"2026-05-18T03:36:45Z"},{"alias_kind":"arxiv_version","alias_value":"1301.2270v1","created_at":"2026-05-18T03:36:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2270","created_at":"2026-05-18T03:36:45Z"},{"alias_kind":"pith_short_12","alias_value":"KW4F7OA673OT","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KW4F7OA673OTGZ7T","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KW4F7OA6","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KW4F7OA673OTGZ7THGCDOTN3AC","target":"record","payload":{"canonical_record":{"source":{"id":"1301.2270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-01-10T16:23:36Z","cross_cats_sorted":["cs.AI","stat.ML"],"title_canon_sha256":"a15287bf7b4f0aeaea1fc0ef5778980f17adfd95f514af37cf021bc0d9b89be3","abstract_canon_sha256":"68288d436271456e9289ee95b507f108305bc02ade7a556dd045dfde12794e40"},"schema_version":"1.0"},"canonical_sha256":"55b85fb81efedd3367f33984374dbb00b6aa592da414403e7b0e938fbd3469e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:45.720198Z","signature_b64":"WW/cKBuOd6qPIcN+wXHVO4luEWax2JxDog4hGIa0BslN44xKaU2DoOGML9Zh6mEWwv8MrvN1gsWX9XTK7dLuBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55b85fb81efedd3367f33984374dbb00b6aa592da414403e7b0e938fbd3469e2","last_reissued_at":"2026-05-18T03:36:45.719401Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:45.719401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.2270","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":"2026-05-18T03:36:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OMeegeDt4l+hfn7lM45P+UMhxMsJfMppiZk9XVmUoJF5Pl3YTBtKEaHtMEoXBmIO0jyymINLxFjjkLsUxGdoAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:21:44.453364Z"},"content_sha256":"fa46d9f5411cb93328953c60ccc8f8352e3a94da7d2419a8245835cfece3e75d","schema_version":"1.0","event_id":"sha256:fa46d9f5411cb93328953c60ccc8f8352e3a94da7d2419a8245835cfece3e75d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KW4F7OA673OTGZ7THGCDOTN3AC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multivariate Information Bottleneck","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","stat.ML"],"primary_cat":"cs.LG","authors_text":"Naftali Tishby, Nir Friedman, Noam Slonim, Ori Mosenzon","submitted_at":"2013-01-10T16:23:36Z","abstract_excerpt":"The Information bottleneck method is an unsupervised non-parametric data organization technique. Given a joint distribution P(A,B), this method constructs a new variable T that extracts partitions, or clusters, over the values of A that are informative about B. The information bottleneck has already been applied to document classification, gene expression, neural code, and spectral analysis. In this paper, we introduce a general principled framework for multivariate extensions of the information bottleneck method. This allows us to consider multiple systems of data partitions that are inter-re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2270","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":""},"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":"2026-05-18T03:36:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NOOJFVlj8c652YlaCwKOsuG7MG17GFfGO4zsgM/XOqPEgu2qAiBB+Go8M45d8NpXnC2yhfH2UGp13PCHXnILDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:21:44.454045Z"},"content_sha256":"c8f21b71693af63c0564be9ebd2371196475bdabf1c1b26b474d182d15224285","schema_version":"1.0","event_id":"sha256:c8f21b71693af63c0564be9ebd2371196475bdabf1c1b26b474d182d15224285"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KW4F7OA673OTGZ7THGCDOTN3AC/bundle.json","state_url":"https://pith.science/pith/KW4F7OA673OTGZ7THGCDOTN3AC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KW4F7OA673OTGZ7THGCDOTN3AC/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":"2026-05-25T15:21:44Z","links":{"resolver":"https://pith.science/pith/KW4F7OA673OTGZ7THGCDOTN3AC","bundle":"https://pith.science/pith/KW4F7OA673OTGZ7THGCDOTN3AC/bundle.json","state":"https://pith.science/pith/KW4F7OA673OTGZ7THGCDOTN3AC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KW4F7OA673OTGZ7THGCDOTN3AC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KW4F7OA673OTGZ7THGCDOTN3AC","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":"68288d436271456e9289ee95b507f108305bc02ade7a556dd045dfde12794e40","cross_cats_sorted":["cs.AI","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-01-10T16:23:36Z","title_canon_sha256":"a15287bf7b4f0aeaea1fc0ef5778980f17adfd95f514af37cf021bc0d9b89be3"},"schema_version":"1.0","source":{"id":"1301.2270","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.2270","created_at":"2026-05-18T03:36:45Z"},{"alias_kind":"arxiv_version","alias_value":"1301.2270v1","created_at":"2026-05-18T03:36:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2270","created_at":"2026-05-18T03:36:45Z"},{"alias_kind":"pith_short_12","alias_value":"KW4F7OA673OT","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KW4F7OA673OTGZ7T","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KW4F7OA6","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:c8f21b71693af63c0564be9ebd2371196475bdabf1c1b26b474d182d15224285","target":"graph","created_at":"2026-05-18T03:36:45Z","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":"The Information bottleneck method is an unsupervised non-parametric data organization technique. Given a joint distribution P(A,B), this method constructs a new variable T that extracts partitions, or clusters, over the values of A that are informative about B. The information bottleneck has already been applied to document classification, gene expression, neural code, and spectral analysis. In this paper, we introduce a general principled framework for multivariate extensions of the information bottleneck method. This allows us to consider multiple systems of data partitions that are inter-re","authors_text":"Naftali Tishby, Nir Friedman, Noam Slonim, Ori Mosenzon","cross_cats":["cs.AI","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-01-10T16:23:36Z","title":"Multivariate Information Bottleneck"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2270","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:fa46d9f5411cb93328953c60ccc8f8352e3a94da7d2419a8245835cfece3e75d","target":"record","created_at":"2026-05-18T03:36:45Z","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":"68288d436271456e9289ee95b507f108305bc02ade7a556dd045dfde12794e40","cross_cats_sorted":["cs.AI","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-01-10T16:23:36Z","title_canon_sha256":"a15287bf7b4f0aeaea1fc0ef5778980f17adfd95f514af37cf021bc0d9b89be3"},"schema_version":"1.0","source":{"id":"1301.2270","kind":"arxiv","version":1}},"canonical_sha256":"55b85fb81efedd3367f33984374dbb00b6aa592da414403e7b0e938fbd3469e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55b85fb81efedd3367f33984374dbb00b6aa592da414403e7b0e938fbd3469e2","first_computed_at":"2026-05-18T03:36:45.719401Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:45.719401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WW/cKBuOd6qPIcN+wXHVO4luEWax2JxDog4hGIa0BslN44xKaU2DoOGML9Zh6mEWwv8MrvN1gsWX9XTK7dLuBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:45.720198Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.2270","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa46d9f5411cb93328953c60ccc8f8352e3a94da7d2419a8245835cfece3e75d","sha256:c8f21b71693af63c0564be9ebd2371196475bdabf1c1b26b474d182d15224285"],"state_sha256":"4d49b1b440cbc37661d50ba6c3b5c8eb74832cc63366a697413b621a7dbee2b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AVr/a2tbIZ4GpDpWOBeE2nwcVyAqe2o1ngTvca4PZuIf2BrfpLlUdlHLaVL7Oor5DAJq+DQZPp/WtP+CjUfHBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T15:21:44.457899Z","bundle_sha256":"701bf5763ce05d883ca9b88e0899e748caec3aba995c4a08179f5b8480250eea"}}