{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:CF7DLFALWRBVKM3J3GVERRNALZ","short_pith_number":"pith:CF7DLFAL","canonical_record":{"source":{"id":"1310.1538","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-10-06T04:44:03Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"d9ce986fdf06714c2085929c7f2098fb004b2d9237e4fa86d7bf91bce0d99fb7","abstract_canon_sha256":"e6851eebcdba3187d52a5fea414fbfe33553c991bb6db5d3a35bf301d345c68b"},"schema_version":"1.0"},"canonical_sha256":"117e35940bb443553369d9aa48c5a05e427eb71f67e3c3f5dcea4bc77a613494","source":{"kind":"arxiv","id":"1310.1538","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1538","created_at":"2026-05-18T01:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1538v3","created_at":"2026-05-18T01:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1538","created_at":"2026-05-18T01:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"CF7DLFALWRBV","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CF7DLFALWRBVKM3J","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CF7DLFAL","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:CF7DLFALWRBVKM3J3GVERRNALZ","target":"record","payload":{"canonical_record":{"source":{"id":"1310.1538","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-10-06T04:44:03Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"d9ce986fdf06714c2085929c7f2098fb004b2d9237e4fa86d7bf91bce0d99fb7","abstract_canon_sha256":"e6851eebcdba3187d52a5fea414fbfe33553c991bb6db5d3a35bf301d345c68b"},"schema_version":"1.0"},"canonical_sha256":"117e35940bb443553369d9aa48c5a05e427eb71f67e3c3f5dcea4bc77a613494","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:34.161703Z","signature_b64":"xmEH4S+8I7ykjXHNEDihu7f82rr3ytAODCxCvl5wBohSNOBmd7K8t8OQ6wjOeG57oml4L0pP8hcDLMD5T/CYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"117e35940bb443553369d9aa48c5a05e427eb71f67e3c3f5dcea4bc77a613494","last_reissued_at":"2026-05-18T01:55:34.161071Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:34.161071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.1538","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":"2026-05-18T01:55:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qmr89A7RXhgvy+QNFqo/GdpNHQpjQRu3Qo89APQX6Of5ldGYhf4hgs9ZVJwlxlv/kI+8enFvJhZq1Oq7ysD0BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:00:00.407612Z"},"content_sha256":"82002727d2ce4a66fdd38a96dbae403c82a60618f196eef735ebda3916d4cbd5","schema_version":"1.0","event_id":"sha256:82002727d2ce4a66fdd38a96dbae403c82a60618f196eef735ebda3916d4cbd5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:CF7DLFALWRBVKM3J3GVERRNALZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Intersection Information based on Common Randomness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Christopher J. Ellison, Edwin K. P. Chong, James P. Crutchfield, Ryan G. James, Virgil Griffith","submitted_at":"2013-10-06T04:44:03Z","abstract_excerpt":"The introduction of the partial information decomposition generated a flurry of proposals for defining an intersection information that quantifies how much of \"the same information\" two or more random variables specify about a target random variable. As of yet, none is wholly satisfactory. A palatable measure of intersection information would provide a principled way to quantify slippery concepts, such as synergy. Here, we introduce an intersection information measure based on the G\\'acs-K\\\"orner common random variable that is the first to satisfy the coveted target monotonicity property. Our "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1538","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":"2026-05-18T01:55:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WAZoJipykpsdzEnLCExq8j1OQDcaSUG7/fKSg3kFMJygL2TfRW0ziiXAq+GY7qSVpoFTFTNhvBG6WgnpFgSBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:00:00.408269Z"},"content_sha256":"09a0ad7ff3ee3af50587d871bf03ce004eb98014780f4e4401cb5a05e006556d","schema_version":"1.0","event_id":"sha256:09a0ad7ff3ee3af50587d871bf03ce004eb98014780f4e4401cb5a05e006556d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CF7DLFALWRBVKM3J3GVERRNALZ/bundle.json","state_url":"https://pith.science/pith/CF7DLFALWRBVKM3J3GVERRNALZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CF7DLFALWRBVKM3J3GVERRNALZ/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":"2026-05-26T18:00:00Z","links":{"resolver":"https://pith.science/pith/CF7DLFALWRBVKM3J3GVERRNALZ","bundle":"https://pith.science/pith/CF7DLFALWRBVKM3J3GVERRNALZ/bundle.json","state":"https://pith.science/pith/CF7DLFALWRBVKM3J3GVERRNALZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CF7DLFALWRBVKM3J3GVERRNALZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CF7DLFALWRBVKM3J3GVERRNALZ","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":"e6851eebcdba3187d52a5fea414fbfe33553c991bb6db5d3a35bf301d345c68b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-10-06T04:44:03Z","title_canon_sha256":"d9ce986fdf06714c2085929c7f2098fb004b2d9237e4fa86d7bf91bce0d99fb7"},"schema_version":"1.0","source":{"id":"1310.1538","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1538","created_at":"2026-05-18T01:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1538v3","created_at":"2026-05-18T01:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1538","created_at":"2026-05-18T01:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"CF7DLFALWRBV","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CF7DLFALWRBVKM3J","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CF7DLFAL","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:09a0ad7ff3ee3af50587d871bf03ce004eb98014780f4e4401cb5a05e006556d","target":"graph","created_at":"2026-05-18T01:55:34Z","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 introduction of the partial information decomposition generated a flurry of proposals for defining an intersection information that quantifies how much of \"the same information\" two or more random variables specify about a target random variable. As of yet, none is wholly satisfactory. A palatable measure of intersection information would provide a principled way to quantify slippery concepts, such as synergy. Here, we introduce an intersection information measure based on the G\\'acs-K\\\"orner common random variable that is the first to satisfy the coveted target monotonicity property. Our ","authors_text":"Christopher J. Ellison, Edwin K. P. Chong, James P. Crutchfield, Ryan G. James, Virgil Griffith","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-10-06T04:44:03Z","title":"Intersection Information based on Common Randomness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1538","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":"sha256:82002727d2ce4a66fdd38a96dbae403c82a60618f196eef735ebda3916d4cbd5","target":"record","created_at":"2026-05-18T01:55:34Z","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":"e6851eebcdba3187d52a5fea414fbfe33553c991bb6db5d3a35bf301d345c68b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-10-06T04:44:03Z","title_canon_sha256":"d9ce986fdf06714c2085929c7f2098fb004b2d9237e4fa86d7bf91bce0d99fb7"},"schema_version":"1.0","source":{"id":"1310.1538","kind":"arxiv","version":3}},"canonical_sha256":"117e35940bb443553369d9aa48c5a05e427eb71f67e3c3f5dcea4bc77a613494","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"117e35940bb443553369d9aa48c5a05e427eb71f67e3c3f5dcea4bc77a613494","first_computed_at":"2026-05-18T01:55:34.161071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:34.161071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xmEH4S+8I7ykjXHNEDihu7f82rr3ytAODCxCvl5wBohSNOBmd7K8t8OQ6wjOeG57oml4L0pP8hcDLMD5T/CYCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:34.161703Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1538","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82002727d2ce4a66fdd38a96dbae403c82a60618f196eef735ebda3916d4cbd5","sha256:09a0ad7ff3ee3af50587d871bf03ce004eb98014780f4e4401cb5a05e006556d"],"state_sha256":"82a844d63a3b4a8842c84ac57033e93281d6db0705bb547623c96c6b8e1ac999"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Rfan1vV5dFqsZ/qnrQH4dFZcMH8pSUW08X0cO5bvzOB5ebZmju5lY70CO80mJP6E8ntkFU5gIBdUODJU6T+CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T18:00:00.412063Z","bundle_sha256":"01afbcfd404c0a535888b579bb5b2a179bf724e920fbcdb4dfccc49cef25960b"}}