{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3JFG44272LAFCCN32SUKK6FI74","short_pith_number":"pith:3JFG4427","canonical_record":{"source":{"id":"1709.07487","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-09-21T18:42:25Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"d4b87874c307d6a6650d04ffb238525c4c0d17af362ce187d6554cbd541c688a","abstract_canon_sha256":"070b77ffc88f0955856e8dd3026759625a9d8c1bfc18fbbfeee66d6976426461"},"schema_version":"1.0"},"canonical_sha256":"da4a6e735fd2c05109bbd4a8a578a8ff36ab6b532c746dbe7b473c27f42e4d65","source":{"kind":"arxiv","id":"1709.07487","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.07487","created_at":"2026-05-18T00:02:18Z"},{"alias_kind":"arxiv_version","alias_value":"1709.07487v3","created_at":"2026-05-18T00:02:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07487","created_at":"2026-05-18T00:02:18Z"},{"alias_kind":"pith_short_12","alias_value":"3JFG44272LAF","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3JFG44272LAFCCN3","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3JFG4427","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3JFG44272LAFCCN32SUKK6FI74","target":"record","payload":{"canonical_record":{"source":{"id":"1709.07487","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-09-21T18:42:25Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"d4b87874c307d6a6650d04ffb238525c4c0d17af362ce187d6554cbd541c688a","abstract_canon_sha256":"070b77ffc88f0955856e8dd3026759625a9d8c1bfc18fbbfeee66d6976426461"},"schema_version":"1.0"},"canonical_sha256":"da4a6e735fd2c05109bbd4a8a578a8ff36ab6b532c746dbe7b473c27f42e4d65","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:18.458634Z","signature_b64":"xAhBPkBYw5gTVb7tak+GwQcBB/wkk3kUsT6CN5ehhAl/wIvzh8YoQ8gEWRQyihwdm58nlHMwiNnlPs3k4aN7Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da4a6e735fd2c05109bbd4a8a578a8ff36ab6b532c746dbe7b473c27f42e4d65","last_reissued_at":"2026-05-18T00:02:18.458177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:18.458177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.07487","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:02:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yuYU+4PtaceCOcGDSZhtk7WBQb5mhBWGabEgA2VJnS8z9P3P7F+2LXCsB/EeLlln2cnHDklGOXJfW7eNdJTGAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:49:09.433175Z"},"content_sha256":"484ed63c90d5a8a3980f3d2158135481a0889594daf8674d55aea08e444a08f0","schema_version":"1.0","event_id":"sha256:484ed63c90d5a8a3980f3d2158135481a0889594daf8674d55aea08e444a08f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3JFG44272LAFCCN32SUKK6FI74","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Computing the Unique Information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Guido Mont\\'ufar, Johannes Rauh, Pradeep Kr. Banerjee","submitted_at":"2017-09-21T18:42:25Z","abstract_excerpt":"Given a pair of predictor variables and a response variable, how much information do the predictors have about the response, and how is this information distributed between unique, redundant, and synergistic components? Recent work has proposed to quantify the unique component of the decomposition as the minimum value of the conditional mutual information over a constrained set of information channels. We present an efficient iterative divergence minimization algorithm to solve this optimization problem with convergence guarantees and evaluate its performance against other techniques."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07487","kind":"arxiv","version":3},"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":"2026-05-18T00:02:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hmb6l1FMPrFIQcDU7wGgRE48o5PQvnjElbvGVqVBTFVjLt9i8F6Wxdmd/QUfzrD3Lm8xC5m0wze0dZCzD9FNBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:49:09.433524Z"},"content_sha256":"acab4cb29183058eb636cd44991637bdbd9b70929237b9432ae8d2aeea9300db","schema_version":"1.0","event_id":"sha256:acab4cb29183058eb636cd44991637bdbd9b70929237b9432ae8d2aeea9300db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3JFG44272LAFCCN32SUKK6FI74/bundle.json","state_url":"https://pith.science/pith/3JFG44272LAFCCN32SUKK6FI74/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3JFG44272LAFCCN32SUKK6FI74/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":"2026-06-01T07:49:09Z","links":{"resolver":"https://pith.science/pith/3JFG44272LAFCCN32SUKK6FI74","bundle":"https://pith.science/pith/3JFG44272LAFCCN32SUKK6FI74/bundle.json","state":"https://pith.science/pith/3JFG44272LAFCCN32SUKK6FI74/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3JFG44272LAFCCN32SUKK6FI74/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3JFG44272LAFCCN32SUKK6FI74","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":"070b77ffc88f0955856e8dd3026759625a9d8c1bfc18fbbfeee66d6976426461","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-09-21T18:42:25Z","title_canon_sha256":"d4b87874c307d6a6650d04ffb238525c4c0d17af362ce187d6554cbd541c688a"},"schema_version":"1.0","source":{"id":"1709.07487","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.07487","created_at":"2026-05-18T00:02:18Z"},{"alias_kind":"arxiv_version","alias_value":"1709.07487v3","created_at":"2026-05-18T00:02:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07487","created_at":"2026-05-18T00:02:18Z"},{"alias_kind":"pith_short_12","alias_value":"3JFG44272LAF","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3JFG44272LAFCCN3","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3JFG4427","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:acab4cb29183058eb636cd44991637bdbd9b70929237b9432ae8d2aeea9300db","target":"graph","created_at":"2026-05-18T00:02:18Z","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":"Given a pair of predictor variables and a response variable, how much information do the predictors have about the response, and how is this information distributed between unique, redundant, and synergistic components? Recent work has proposed to quantify the unique component of the decomposition as the minimum value of the conditional mutual information over a constrained set of information channels. We present an efficient iterative divergence minimization algorithm to solve this optimization problem with convergence guarantees and evaluate its performance against other techniques.","authors_text":"Guido Mont\\'ufar, Johannes Rauh, Pradeep Kr. Banerjee","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-09-21T18:42:25Z","title":"Computing the Unique Information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07487","kind":"arxiv","version":3},"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":"sha256:484ed63c90d5a8a3980f3d2158135481a0889594daf8674d55aea08e444a08f0","target":"record","created_at":"2026-05-18T00:02:18Z","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":"070b77ffc88f0955856e8dd3026759625a9d8c1bfc18fbbfeee66d6976426461","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-09-21T18:42:25Z","title_canon_sha256":"d4b87874c307d6a6650d04ffb238525c4c0d17af362ce187d6554cbd541c688a"},"schema_version":"1.0","source":{"id":"1709.07487","kind":"arxiv","version":3}},"canonical_sha256":"da4a6e735fd2c05109bbd4a8a578a8ff36ab6b532c746dbe7b473c27f42e4d65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da4a6e735fd2c05109bbd4a8a578a8ff36ab6b532c746dbe7b473c27f42e4d65","first_computed_at":"2026-05-18T00:02:18.458177Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:18.458177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xAhBPkBYw5gTVb7tak+GwQcBB/wkk3kUsT6CN5ehhAl/wIvzh8YoQ8gEWRQyihwdm58nlHMwiNnlPs3k4aN7Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:18.458634Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.07487","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:484ed63c90d5a8a3980f3d2158135481a0889594daf8674d55aea08e444a08f0","sha256:acab4cb29183058eb636cd44991637bdbd9b70929237b9432ae8d2aeea9300db"],"state_sha256":"d6e573285e7a390d9c93278be54e8d2ddbf711314062436d76b1bc7f8d95e9e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H5mrMft1AXxWWMlrbwmxdiLJ4VeE0w8PJIaZF3ZL2vd+LkxxzMi2Wb7fKBou17GX/6iU4ZLHYF1ObuoJ0R+hCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T07:49:09.435492Z","bundle_sha256":"e54dd24952dbc9a15fa9a908667191354b85f9091cdd5ac2e769403db615c0e1"}}