{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:KNC5XKMPYTNEPQ7FEMY5VFFJC2","short_pith_number":"pith:KNC5XKMP","schema_version":"1.0","canonical_sha256":"5345dba98fc4da47c3e52331da94a916be85819334b34f2ae8a4b3bbfc26500c","source":{"kind":"arxiv","id":"1311.2852","version":2},"attestation_state":"computed","paper":{"title":"Quantifying unique information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Eckehard Olbrich, Johannes Rauh, J\\\"urgen Jost, Nihat Ay, Nils Bertschinger","submitted_at":"2013-11-12T17:37:58Z","abstract_excerpt":"We propose new measures of shared information, unique information and synergistic information that can be used to decompose the multi-information of a pair of random variables $(Y,Z)$ with a third random variable $X$. Our measures are motivated by an operational idea of unique information which suggests that shared information and unique information should depend only on the pair marginal distributions of $(X,Y)$ and $(X,Z)$. Although this invariance property has not been studied before, it is satisfied by other proposed measures of shared information. The invariance property does not uniquely"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1311.2852","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-11-12T17:37:58Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8a31e97f2bc51cc77aef490828e7984ce6b48a3fb3af969d832f66d412ebefd6","abstract_canon_sha256":"193e612fe7fd797f03128c4c3c1bb283723a578a7361f577fec8616ea020a8f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:38.881416Z","signature_b64":"QGI5VBRvAISO840RGcxzogkvpCFtJjxvjsmhvhBDN0UuJFlIb2zvncRZe7glhXffyZmzgHPnGXLCCPph/rP9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5345dba98fc4da47c3e52331da94a916be85819334b34f2ae8a4b3bbfc26500c","last_reissued_at":"2026-05-18T02:49:38.881063Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:38.881063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantifying unique information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Eckehard Olbrich, Johannes Rauh, J\\\"urgen Jost, Nihat Ay, Nils Bertschinger","submitted_at":"2013-11-12T17:37:58Z","abstract_excerpt":"We propose new measures of shared information, unique information and synergistic information that can be used to decompose the multi-information of a pair of random variables $(Y,Z)$ with a third random variable $X$. Our measures are motivated by an operational idea of unique information which suggests that shared information and unique information should depend only on the pair marginal distributions of $(X,Y)$ and $(X,Z)$. Although this invariance property has not been studied before, it is satisfied by other proposed measures of shared information. The invariance property does not uniquely"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2852","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1311.2852","created_at":"2026-05-18T02:49:38.881117+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.2852v2","created_at":"2026-05-18T02:49:38.881117+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2852","created_at":"2026-05-18T02:49:38.881117+00:00"},{"alias_kind":"pith_short_12","alias_value":"KNC5XKMPYTNE","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"KNC5XKMPYTNEPQ7F","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"KNC5XKMP","created_at":"2026-05-18T12:27:51.066281+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KNC5XKMPYTNEPQ7FEMY5VFFJC2","json":"https://pith.science/pith/KNC5XKMPYTNEPQ7FEMY5VFFJC2.json","graph_json":"https://pith.science/api/pith-number/KNC5XKMPYTNEPQ7FEMY5VFFJC2/graph.json","events_json":"https://pith.science/api/pith-number/KNC5XKMPYTNEPQ7FEMY5VFFJC2/events.json","paper":"https://pith.science/paper/KNC5XKMP"},"agent_actions":{"view_html":"https://pith.science/pith/KNC5XKMPYTNEPQ7FEMY5VFFJC2","download_json":"https://pith.science/pith/KNC5XKMPYTNEPQ7FEMY5VFFJC2.json","view_paper":"https://pith.science/paper/KNC5XKMP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.2852&json=true","fetch_graph":"https://pith.science/api/pith-number/KNC5XKMPYTNEPQ7FEMY5VFFJC2/graph.json","fetch_events":"https://pith.science/api/pith-number/KNC5XKMPYTNEPQ7FEMY5VFFJC2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KNC5XKMPYTNEPQ7FEMY5VFFJC2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KNC5XKMPYTNEPQ7FEMY5VFFJC2/action/storage_attestation","attest_author":"https://pith.science/pith/KNC5XKMPYTNEPQ7FEMY5VFFJC2/action/author_attestation","sign_citation":"https://pith.science/pith/KNC5XKMPYTNEPQ7FEMY5VFFJC2/action/citation_signature","submit_replication":"https://pith.science/pith/KNC5XKMPYTNEPQ7FEMY5VFFJC2/action/replication_record"}},"created_at":"2026-05-18T02:49:38.881117+00:00","updated_at":"2026-05-18T02:49:38.881117+00:00"}