{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:T3EH3DDEHIX23SIQ6KPBCNXDW4","short_pith_number":"pith:T3EH3DDE","canonical_record":{"source":{"id":"1701.08254","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-28T05:17:25Z","cross_cats_sorted":["cs.AI","math.IT","stat.ML"],"title_canon_sha256":"29d0131f852b1bf834691cb77f940b87329969c910bd670a7853b6900497f630","abstract_canon_sha256":"c4589c90f50369bf1b9979ed8445b4f8eb1307ccbbf5bc25dc824555088097f4"},"schema_version":"1.0"},"canonical_sha256":"9ec87d8c643a2fadc910f29e1136e3b7373c48547990ff658d690cb0bf2f5230","source":{"kind":"arxiv","id":"1701.08254","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08254","created_at":"2026-05-18T00:51:54Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08254v1","created_at":"2026-05-18T00:51:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08254","created_at":"2026-05-18T00:51:54Z"},{"alias_kind":"pith_short_12","alias_value":"T3EH3DDEHIX2","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"T3EH3DDEHIX23SIQ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"T3EH3DDE","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:T3EH3DDEHIX23SIQ6KPBCNXDW4","target":"record","payload":{"canonical_record":{"source":{"id":"1701.08254","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-28T05:17:25Z","cross_cats_sorted":["cs.AI","math.IT","stat.ML"],"title_canon_sha256":"29d0131f852b1bf834691cb77f940b87329969c910bd670a7853b6900497f630","abstract_canon_sha256":"c4589c90f50369bf1b9979ed8445b4f8eb1307ccbbf5bc25dc824555088097f4"},"schema_version":"1.0"},"canonical_sha256":"9ec87d8c643a2fadc910f29e1136e3b7373c48547990ff658d690cb0bf2f5230","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:54.761758Z","signature_b64":"TH4fNNUDbw8GM1Chkohy6FvMAQPhlCe2cF8S+lAVCtr2gEsodJgVSoXMQZYk+roCpbT+dmktY0I4sVI0/zk+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ec87d8c643a2fadc910f29e1136e3b7373c48547990ff658d690cb0bf2f5230","last_reissued_at":"2026-05-18T00:51:54.761039Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:54.761039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.08254","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":"2026-05-18T00:51:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vxtBHk0abWuf7eDJGwAU9pdjULZ9tM14tJUelFbmyef/8oNccUmpPVbvQp3YL0JsNILO3r4pZIRLJCaPQIyyBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:49:07.758597Z"},"content_sha256":"107efa2a4171a1d754a62b5fc476b6d944dc5e831301742ba36f69b9a13b0b6c","schema_version":"1.0","event_id":"sha256:107efa2a4171a1d754a62b5fc476b6d944dc5e831301742ba36f69b9a13b0b6c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:T3EH3DDEHIX23SIQ6KPBCNXDW4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropic Causality and Greedy Minimum Entropy Coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","math.IT","stat.ML"],"primary_cat":"cs.IT","authors_text":"Alexandros G. Dimakis, Babak Hassibi, Murat Kocaoglu, Sriram Vishwanath","submitted_at":"2017-01-28T05:17:25Z","abstract_excerpt":"We study the problem of identifying the causal relationship between two discrete random variables from observational data. We recently proposed a novel framework called entropic causality that works in a very general functional model but makes the assumption that the unobserved exogenous variable has small entropy in the true causal direction.\n  This framework requires the solution of a minimum entropy coupling problem: Given marginal distributions of m discrete random variables, each on n states, find the joint distribution with minimum entropy, that respects the given marginals. This corresp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08254","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":"2026-05-18T00:51:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Djvp1V4zeAEGgwr8mO66lBhZt1FvU0SErHJ3GCA0RaFT1VvRM7MpXs3UxLgiAM7AOiu5YN1LxIqj34ZIy3ezDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:49:07.759561Z"},"content_sha256":"3fd72aefbfa857f242a16c2615e99517676f16b9379e89ee58b3abb0b94dff7b","schema_version":"1.0","event_id":"sha256:3fd72aefbfa857f242a16c2615e99517676f16b9379e89ee58b3abb0b94dff7b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T3EH3DDEHIX23SIQ6KPBCNXDW4/bundle.json","state_url":"https://pith.science/pith/T3EH3DDEHIX23SIQ6KPBCNXDW4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T3EH3DDEHIX23SIQ6KPBCNXDW4/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":"2026-06-05T05:49:07Z","links":{"resolver":"https://pith.science/pith/T3EH3DDEHIX23SIQ6KPBCNXDW4","bundle":"https://pith.science/pith/T3EH3DDEHIX23SIQ6KPBCNXDW4/bundle.json","state":"https://pith.science/pith/T3EH3DDEHIX23SIQ6KPBCNXDW4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T3EH3DDEHIX23SIQ6KPBCNXDW4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:T3EH3DDEHIX23SIQ6KPBCNXDW4","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":"c4589c90f50369bf1b9979ed8445b4f8eb1307ccbbf5bc25dc824555088097f4","cross_cats_sorted":["cs.AI","math.IT","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-28T05:17:25Z","title_canon_sha256":"29d0131f852b1bf834691cb77f940b87329969c910bd670a7853b6900497f630"},"schema_version":"1.0","source":{"id":"1701.08254","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08254","created_at":"2026-05-18T00:51:54Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08254v1","created_at":"2026-05-18T00:51:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08254","created_at":"2026-05-18T00:51:54Z"},{"alias_kind":"pith_short_12","alias_value":"T3EH3DDEHIX2","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"T3EH3DDEHIX23SIQ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"T3EH3DDE","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:3fd72aefbfa857f242a16c2615e99517676f16b9379e89ee58b3abb0b94dff7b","target":"graph","created_at":"2026-05-18T00:51:54Z","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 study the problem of identifying the causal relationship between two discrete random variables from observational data. We recently proposed a novel framework called entropic causality that works in a very general functional model but makes the assumption that the unobserved exogenous variable has small entropy in the true causal direction.\n  This framework requires the solution of a minimum entropy coupling problem: Given marginal distributions of m discrete random variables, each on n states, find the joint distribution with minimum entropy, that respects the given marginals. This corresp","authors_text":"Alexandros G. Dimakis, Babak Hassibi, Murat Kocaoglu, Sriram Vishwanath","cross_cats":["cs.AI","math.IT","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-28T05:17:25Z","title":"Entropic Causality and Greedy Minimum Entropy Coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08254","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":"sha256:107efa2a4171a1d754a62b5fc476b6d944dc5e831301742ba36f69b9a13b0b6c","target":"record","created_at":"2026-05-18T00:51:54Z","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":"c4589c90f50369bf1b9979ed8445b4f8eb1307ccbbf5bc25dc824555088097f4","cross_cats_sorted":["cs.AI","math.IT","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-28T05:17:25Z","title_canon_sha256":"29d0131f852b1bf834691cb77f940b87329969c910bd670a7853b6900497f630"},"schema_version":"1.0","source":{"id":"1701.08254","kind":"arxiv","version":1}},"canonical_sha256":"9ec87d8c643a2fadc910f29e1136e3b7373c48547990ff658d690cb0bf2f5230","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ec87d8c643a2fadc910f29e1136e3b7373c48547990ff658d690cb0bf2f5230","first_computed_at":"2026-05-18T00:51:54.761039Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:54.761039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TH4fNNUDbw8GM1Chkohy6FvMAQPhlCe2cF8S+lAVCtr2gEsodJgVSoXMQZYk+roCpbT+dmktY0I4sVI0/zk+CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:54.761758Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.08254","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:107efa2a4171a1d754a62b5fc476b6d944dc5e831301742ba36f69b9a13b0b6c","sha256:3fd72aefbfa857f242a16c2615e99517676f16b9379e89ee58b3abb0b94dff7b"],"state_sha256":"450d34260af025a1cd9c84481c07c163ba3cd67966f1dff8445f2925ba13cb00"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xaluK+A4KDPPl9SiK3/5Gs9mKQeqfqqMi0+uBzmROzmO/d5rY53i4l+W33ddaZBPsgH+YgaylKXRKc0GqVBTAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T05:49:07.764243Z","bundle_sha256":"a2d6a801cc063384229201e15cc0be0205655955ce679786bf48dd7ea16d8932"}}